diff --git "a/data/dm_maths/full_data_1/1390_11255.jsonl" "b/data/dm_maths/full_data_1/1390_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1390_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the second biggest value in -2, -3600, -0.5, -181?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -14.\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2 - 37*p + 6. Let y be c(-7). Solve 48*i = 44*i - y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16373 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8372\/(-3198) - 2\/41)*6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {m: 1, h: 5, u: 3, k: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-12)\/((((w**(4\/3)\/w*w)\/w)\/w)\/w))\/((w**8*w)\/w**(-2\/19)))**(1\/15))**(-32) assuming w is positive.\nAnswer: w**(35456\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -138 + -78800?\nAnswer: -78938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 993 - 614. Suppose 131 = p - m. What are the prime factors of p?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d + 199 + 2171 = 0. Is d at least as big as -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 3*q + 90. Let i be v(0). Suppose -63*f = -61*f - i. Calculate the highest common factor of f and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21267 is divided by 65?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 6 = -4*p, 4*b - 5*b = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b - 21*b + 21*b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 101?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288 - -291. Suppose -a*m = j - 1504, j + m - 1512 = 6*m. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*j + 0*j - 10 = 0, a + 82*j = 71*j - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 259 - 21. What is the remainder when c is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 0.3, -618\/29 in decreasing order.\nAnswer: 0.3, 0, -10, -618\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1078, 2212, 3402, 4648, 5950?\n\"Answer: 28*t**2 + 1050*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*x + 23, -x + 18 = x - 2*k. Let h = x + -4. Suppose -20 = -h*r - r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -341 or -343?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246954?\nAnswer: 2, 3, 79, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 232559 - -2?\nAnswer: 232561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 15) to base 5\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y**2 + 2*y + 4. Let j be o(0). Solve 0*q + 20 = -j*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -101 (b) 2265868 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-16)*1*-4. Suppose 4873 = z*a + 1840. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1662 and 42162?\nAnswer: 11678874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, -94, -104, 16, 344, 958, 1936, 3356?\n\"Answer: 13*n**3 - 52*n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b - 6. Let a be y(-3). Let j(u) = -1 + 4 - 6 + a*u**2 + 3*u. Calculate the remainder when 63 is divided by j(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = 0. Suppose x = z - k - 86, 115 = z - 2*k + 27. Suppose y - z = -2*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125601605 - 3?\nAnswer: 125601602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 4*c - 6792 = 0. Let g = -267 - c. Solve 0 = -3*j + g - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, 288, 760, 1398, 2202, 3172, 4308?\n\"Answer: 83*q**2 + 57*q - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4469.2873 rounded to the nearest 10?\nAnswer: -4470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1.7, -3, 0.03, 3, 40?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let u(k) = k. Let a(v) be the first derivative of 16*v**2 - 40. Let g(m) = -a(m) + 3*u(m). Determine g(o(j)).\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 9. What is y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7039165.\nAnswer: 5, 7, 201119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h, 4*l - h + 0 = 16. Find the third derivative of 18*t**l - 6*t**2 - 8*t**5 + 2*t**5 - 18*t**4 wrt t.\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25843910 is divided by 62.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 2.198 (c) -0.03 (d) -6.78 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 2*r + 24. Suppose -2 = u - 2*f - 3, 12 = 4*u - 4*f. Suppose -u = -2*w - 5*t, t + 4*t = 2*w + 5. Is i(w) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 - 5*f - 35. Let c(s) = 5*s**2 + 4*s + 47. Give 3*c(v) + 4*d(v).\nAnswer: -v**2 - 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3721 - -3837. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + (15 - -73) + -92?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aee when three letters picked without replacement from {a: 1, e: 5, w: 1, y: 1, v: 4, j: 1}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 12*k - 28.\nAnswer: (k - 14)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-2))**(-6)*(f*f**(-1\/2))**(2\/33))**23 assuming f is positive.\nAnswer: f**(23\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, m: 1, u: 1, c: 1}. What is prob of sequence umuc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 19*b + 17*b = -10, 4*w + 4*b = 12. Put -2, 1, w, 7, 2 in descending order.\nAnswer: 7, 2, 1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.4, 5, -0.492, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -72.\nAnswer: -5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -273*h**3 + 4*h**2 - 2*h + 41. Let x(f) = 274*f**3 - 6*f**2 + 3*f - 38. Let m(d) = 3*w(d) + 2*x(d). Find the first derivative of m(k) wrt k.\nAnswer: -813*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - sqrt(98)*1) + 1 + (sqrt(12)\/sqrt(3))\/sqrt(2) + sqrt(150)\/sqrt(3).\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*u - 6*u. Let j(t) = t**2 + 3*t + 3. Let x be j(-3). Solve 0 = x*a + 4*w - 8, -w - 7 = a + u*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -507, -516, -533, -558, -591, -632?\n\"Answer: -4*p**2 + 3*p - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 + 28 = 27*f. Sort f, 2, -2 in decreasing order.\nAnswer: 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5079 - -7157. Calculate the remainder when z is divided by 160.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -384 - -406. What is the smallest common multiple of 1148 and c?\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1.6\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*k*o**2 - 25*j**2*k*r**2 - 32*j**2*o**2 - 2*j*k*o**2 + 2*j*k - 15*j*o**2*r**2 - 41*j*o*r**2 wrt j?\nAnswer: 2*k*o**2 - 50*k*r**2 - 64*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 31 - 9 = 0. Let x = 2755 - 2773. Put a, -1, x in descending order.\nAnswer: a, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5, -g = -4*u - 137 - 84. What is the remainder when g is divided by 238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3353301, -6706629, -10059979, -13413351, -16766745, -20120161, -23473599?\nAnswer: -26827059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*a + 5 = 0, -8*i = -5*i - a - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Suppose -r - k = -11, 0 = -c*r - k - 4*k + 33. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 161 - 17. Suppose -12 = -u*j + 17*j. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*h - 2*h. Let s be 24\/(-9)*24\/(-16). Suppose 3*t + h - s = 0. Let i(n) = 3*n. Determine i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1062 + 1057. What is the closest to -1 in m, -22, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491235098.\nAnswer: 2, 245617549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -655176.53 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 7*n**2 - 13*n + 37. Give z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125944 at most as big as 125949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11c3 - -4?\nAnswer: 11c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*g**4 + 0 - 24*g**3 - 459\/2*g - 603\/4*g**2.\nAnswer: g*(g - 102)*(g + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82098.56 to the nearest ten.\nAnswer: -82100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 45*p**2 + 28*p + 135. Let k be b(-22). Factor -10\/3*t - 8\/3*t**2 - 2\/3*t**k - 4\/3.\nAnswer: -2*(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/3 - (-15)\/45. Suppose 6*c - o*c + 135 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2, -3\/7, -1\/2, 9\/10, -40\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 96*a**3 - 17*a**2 + 34*a + 15. Let z(i) = 32*i**3 - 6*i**2 + 12*i + 5. Calculate -6*o(w) + 17*z(w).\nAnswer: -32*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 317495\/21 - 15119. Which is the nearest to 0.1? (a) -0.5 (b) 0.5 (c) 2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwxxxwxwpwwxwwxtxxp. What is prob of sequence wx?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3096\/13 - 238. Let s = 19 - 22. Which is the second smallest value? (a) 3 (b) s (c) 2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -4, 167, 2 in decreasing order.\nAnswer: 167, 7, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3666)\/(-329))\/26*3\/(-1).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwwb when four letters picked without replacement from bgwbwbw?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 28*p - 11. Let a(j) = -13*j + 5. Let g(i) = -13*a(i) - 6*q(i). Give g(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) -1\/8 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 304370.06 and 0.022.\nAnswer: 304370.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(42)\/sqrt(54)) + -2 + (0 + sqrt(2448) + sqrt(2448) - sqrt(2448)) + sqrt(2448) + 1.\nAnswer: -1 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 1. Let t(b) = 451*b**2 + 3*b + 2. Let l be t(-1). Let r be (4\/10)\/(5\/l). Suppose 2*n + 24 = -4*z, 4*z + r = -6*n + 2*n. What is p(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1511.1 + 1127.1. Which is the second biggest value? (a) 4 (b) 0 (c) -0.1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 170\/15 + 1\/(-3). Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77136*s = -77862*s - 8712 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 188*y + 364. What is w(92)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**28*i)\/i**(-4\/9))\/((i*i**(-3)*i)\/(i*i\/i**(-14\/9))))**(1\/21) assuming i is positive.\nAnswer: i**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1004, 0, -80 in increasing order.\nAnswer: -80, 0, 1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/33 and -88\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13867 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in 1\/4, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. Let m = -83 + 107. Solve 5*l + m = -o*j - 0*j, -l - 5*j = 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 11) + -3 + 2 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48804309 divided by 1107.\nAnswer: -44087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {c: 1, o: 3, g: 4, u: 1, h: 5}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 475 - 474.99714. What is c rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 1582 = -2*n - 1572, 5*y - 245*n + 2715 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050162 rounded to seven dps?\nAnswer: -0.0000502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8926.203l?\nAnswer: 8926203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -365 + 1097\/3. Let -1\/3*u**2 - z - u = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/14)*a\/(a*a**1\/a*a)*a**(5\/6)*a**33)**(4\/5) assuming a is positive.\nAnswer: a**(2752\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134*k**3*n**4 + k**3*n**2 - k**2*n**2 + 2*k*n**5 - 16*k*n wrt n?\nAnswer: -3216*k**3*n + 120*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 5*z - 1. Suppose 3*j + 3*p + 3 = -0*p, 4*j + 19 = p. Determine s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/24 - 0) + 23\/(-6). Let o = 0.1 + -0.7. Let x = -2.6 - o. Sort 2\/3, x, z in ascending order.\nAnswer: z, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + 13 + 7 - 4 - 2*w as b*w + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 20*w + 26. What is v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 1778*o**5\/5 + o**4\/2 + o**3\/3 + 19*o + 2172. What is the third derivative of h(j) wrt j?\nAnswer: 42672*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 31. Let c = -7 + d. Let x = c + -4.9. What is the closest to 0 in 3\/7, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x**2 - 3*x - 3. Let i(l) = -l**3 - l**2 - 2*l - 3. Let p(m) = -2*i(m) + 3*u(m). What is p(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, -750, 0.5, 0, -1 in increasing order.\nAnswer: -750, -138, -1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/3492 and -59\/40?\nAnswer: 34920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 58385 = -s, -212*v = -215*v - 3*s + 35049. Calculate the remainder when v is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 266*z**4 - 69.\nAnswer: 1064*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6) + (1 + -2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8265*a - 14405*a - 9982*a to x + s*a and give s.\nAnswer: -16122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1001000000?\nAnswer: 1000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 2896 = -3*p - 17*d, 0 = 3*p + 2*d - 2911. Calculate the remainder when p is divided by 470.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/2)\/1 + (2816 - -133087) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 56, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i - 5*i + 0*i)*(2 + 3 - 2).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0163 + -0.0163. Let f = -0.3 + 0.4. Let u = -0.3 + f. Which is the third smallest value? (a) h (b) -3\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 3*s - 2*s)*(0*s + 5*s - 3*s) + 2 - 2 + s**2 + (1 + 3 - 3)*(-4*s + 6 - 6)*(-3*s - 4*s + 5*s).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -20*k + 16. Let f(o) = 7*o - 5. Let z(u) = -11*f(u) - 4*s(u). Give z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 0*r)*(-3 + 0 + 5)*(-5 - 1 - 8).\nAnswer: 56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.01243 (b) 2\/3 (c) 1 (d) 31 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 14 = 5*s - 11, s + 5*h = 5. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from idiswsqiqxdii?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (10 - 1) + -5 + -1 + -7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w\/(w**(-10)*w)*w)\/w*w)**(1\/2)*w*w**18\/w*w\/w**(-10) assuming w is positive.\nAnswer: w**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -46*k - 6. Let o(x) = 415*x + 55. Give 55*n(w) + 6*o(w).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from ikb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (54\/(-8))\/(-5 - (-462)\/96) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 11*a**2 - a - 9. Let w be f(-11). Let u be (((-8)\/14)\/((-2)\/(-2)))\/w. Let n = -0.2 + 0. What is the nearest to -0.2 in u, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*g + 23 - 1, 3*g = 2*t - 14. Solve -3*w - t = 4*f, 0*w = -f - 3*w - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9604, -11322, -13040, -14758?\nAnswer: -16476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 343 - b - 174 - 5*b**4 - b - 173 - 2*b**2 as l + q*b**2 + h*b + n*b**4 + i*b**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/2 (b) -297020 (c) 1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -2, 0, 87, 10 in ascending order.\nAnswer: -31, -2, 0, 10, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535381 (base 9) in base 14?\nAnswer: 27d7bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -26 - 0. Suppose d*b + 2*r - 34 - 22 = 0, 4*b + 3*r = 109. Solve w - b = 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3854, 3860, 3866, 3872?\n\"Answer: 6*f + 3848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**3\/7 + 360*a**2\/7 + 192*a = 0. What is a?\nAnswer: -56, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.0604 to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 700, 3, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 15. Suppose b*t = 7*t - 8. Solve 2 = -2*g - j, 3 = -t*g - g - 5*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 - 5*s + 6. Let l be r(4). Let k(z) be the second derivative of 0*z**3 - 1\/4*z**4 + 15*z + 0*z**2 + 0. Determine k(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63937710*j**3 + 32892*j**2 + j - 46.\nAnswer: 383626260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + 2*n + 3*n)*(6 + 1 - 2) - 8*n - 6 + 6.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715043 a multiple of 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 0*p - 3*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 250.9424ug?\nAnswer: 0.2509424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173178883 to the power of 1\/2, to the nearest integer?\nAnswer: 13160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 8. Suppose 12 = 2*y + 4*l, -4*y - 23 = -9*y - 3*l. Solve -14 = y*s - p, s - x = -2*p + 5*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/15 - (-37)\/(-5). Is (8 - 12)*26\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/9276 and -29\/22932.\nAnswer: 17726436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*g - 2*o, 3 = -4*g + 10*o - 15*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*s - 68 = -0*s, 5*s = -4*b - 68. Let t = b + 30. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 0.05 (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2048*c + 12292. Let b be t(6). Solve b*f + 31 = -2*p + 29, 3*f = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 503856 by 113.\nAnswer: 503856\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/120 and -115\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-5))\/(6\/15). Suppose 7*q = s*q + 6. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2795515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30558429 divided by -11.\nAnswer: -2778039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/24 + 3*n**2. Let y(m) = -3*m. What is g(y(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 2*u**2 - 3*u**2)*(128*u**2 - 61 + 61) + (-1 - 1 + 1)*(0 + 0 - 4*u**4).\nAnswer: -124*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5120 - 0.4.\nAnswer: 5119.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6430, -12867, -19304?\n\"Answer: -6437*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 849517051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-82)\/(8 + 78\/(-4)) + (-11)\/(-1)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let j(z) be the first derivative of -z - 3 - 1\/2*z**3 + 0*z**2. Let r(f) be the first derivative of j(f). Give s(r(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23868 divided by -51?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (240\/35)\/(2\/(-14)). Let r be -4*3*(-92)\/k. Let h = 30 + r. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(64\/160)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p. Let l(n) = -2*n. Let i(c) = 10*l(c) + 3*t(c). Let v(k) be the second derivative of -1\/3*k**3 + 0 + 0*k**2 + 2*k. Give i(v(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k + 1. Let d = -32 + 35. Give n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-15)\/6 + 1). Let m(r) = 4*r**2 + 5*r - 2. Let q be m(-4). Suppose -b*u = -0*u - q. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 14. Let r(m) = m**3 + 2*m**2 - 2*m - 3. What is the lowest common multiple of r(b) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 59*x**3 - 8*x**2 - 21*x - 6. Let r be w(-2). Let z = r - -470. Solve -2*a + 6 = 0, -a = -5*f + z*a + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-11\/8)\/g))**(-12\/7)\/(g**(-11))**(-2\/67) assuming g is positive.\nAnswer: g**(-5735\/938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203970 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/8 + 379*s\/8 - 573\/4.\nAnswer: (s - 3)*(s + 382)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 6, d: 8, y: 3}. What is prob of sequence by?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 62\/155*(-15)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d - 63 = 0. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/25)\/b)**(6\/5)*((b*b\/b**(-17))\/b)\/b**(2\/7) assuming b is positive.\nAnswer: b**(14492\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 183 + 39. Is 16106\/14 + d\/(-126) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18c60 (base 13) to base 7.\nAnswer: -260436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289082607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -47613 times 4?\nAnswer: -190452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112621490 is divided by 6568?\nAnswer: 6562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-1\/2))**(-1\/6))**(7\/3) assuming b is positive.\nAnswer: b**(-35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*n - 25 = 0, -5*n = -6*n - 4. Sort 16, i, 8.\nAnswer: i, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/2)\/10)\/(22\/55)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 - 62 - 33 + 76)*(21*v + v + 2 - 3*v).\nAnswer: -2204*v - 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and -51\/376401532.\nAnswer: 376401532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*a + 8*u - 6, 0 = u + 2. Does 16 divide (-14406)\/(-45) - a*(-2)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 36432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7357 divided by -7501.\nAnswer: 7357\/7501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5\/34, 2.12, 5?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 3*d**2 + 3*d**2)*(4 - 3 + 1) - d - d**3 + d - 3*d**3 + 9*d**3 + 0*d**3 - d**3 - d**3 + 0*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 2*w - 5*m, m = 2*w + 2*m - 626. Let l be 196\/w - (-2)\/(-9). Let o = -7 - -10. What is the closest to l in -0.5, -2, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.257 - -11.4. What is s rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9479657\/514 + 18443. Find the common denominator of z and 27 - 939\/54 - (3 + 1).\nAnswer: 4626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-3)\/((-12)\/8). Let j(g) = 3*g + 2*g + n + 7*g. Let d(k) = 13*k + 5. Let r(q) = 6*d(q) - 7*j(q). Differentiate r(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l + 41 = 35*l + 2*q, -19*l - q = -15*l + 182 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -59*b**2\/2 + 58. Let j(k) = 4*k - 17*k + 14*k. Calculate g(j(r)).\nAnswer: -59*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 4 - 4*z + 7*z**4 + 4 - z in the form m + d*z + s*z**2 + v*z**4 + l*z**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 + m + 1. Let y(u) = -143*u**2 + 1574*u - 13. Let o be y(11). Let v(a) = -a**3 + 6*a**2 + 2*a + 2. Give o*w(b) + v(b).\nAnswer: b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343825 is divided by 1563.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*a - 0*a. Let j = a + -8. Suppose 6 + 2 + 2*z**3 + 16*z + j*z**2 + 3*z**2 = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53*j**2 + 3*j - 3*j + 86 - 17*j**2 - 2*j**4 wrt j?\nAnswer: -8*j**3 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcjjocechhcqjjo. Give prob of sequence ch.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 + (0 - -2). Suppose -7*n = -r*n. Let v be (-7 - -5)*(-3)\/2. Solve n = -g - v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 2058?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 2*r**2 + 3*r. Let o be a(2). Calculate the remainder when o - -19 - 6\/(-2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46468780, -92937562, -139406344?\nAnswer: -185875126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174861 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 74.16 times 1.8\nAnswer: 133.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 19 + 3. Calculate the remainder when (q\/48)\/(1\/(-237)) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*x + 833 - 792, -4*f + 26 = -2*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -29 + 122 - 117.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 23*j**2 + 22*j + 44. Determine t(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1ca?\nAnswer: -1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 27*r - 4. Let s be u(12). What is the greatest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1808 - 899. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 3*o**2 - 5*o - 3. Let q be 15\/3*(-16)\/(-10). Let s(r) = 2*r - 9. Calculate the remainder when g(-3) is divided by s(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1540 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13022549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**12*i*i**9*i assuming i is positive.\nAnswer: i**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5543 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 7*o + 16. What is the units digit of u(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102177702563\/327 - 312469792. Let i = 82\/109 - t. Let b = i - -248. Which is greater: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1947.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**3 - 5*k**2 + 9*k + 5. Let h(a) = 5*a**3 + 2*a**2 - 4*a - 2. Suppose -3 - 47 = -5*j + l, -5*j + 5*l = -70. Determine j*h(t) + 4*b(t).\nAnswer: t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4 (c) -0.1 (d) -108 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from wbnhwwbdw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 12. Let i be b(-9). Suppose 0 = x + 1 - 2. Let g(q) = 1 - 3 - q + x. Determine g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/80366850 and -32\/681075.\nAnswer: 80366850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 1, n: 2, w: 2, v: 2, l: 1}. Give prob of sequence gx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away 5.3970787?\nAnswer: -5.5570787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2795689, 5591384, 8387093, 11182822, 13978577, 16774364?\n\"Answer: y**3 + y**2 + 2795685*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(2*d**5 + 4*d**5 - 4*d**5)*(-4 - 20 - 5 + 1 + 1 + 1 + (2 - 3 - 1)*(-6 + 1 + 4)).\nAnswer: 96*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/7, -0.1, -13\/4, -19, 260?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/18*2)\/1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93 + 13 + -13 - 11) + -4 + 5 + 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*o**2*u**3 + 97*o**2*u - 3320*o*u**4 + 1805*o*u wrt u.\nAnswer: -588*o**2*u - 39840*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -6*n - 30. Suppose 3*b - n = 3*c, 2*c + 0*c + 8 = 0. Solve -b*o = -3*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76)*-3)\/(sqrt(484)*-5).\nAnswer: -3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 349 + -346. Let p = -0.021 - 0.079. What is the nearest to -2 in p, 2\/11, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 39, 60, 81, 102?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 1 - 1 + 0*q**2 - 4*q**2 - 3*q**2 + (4*q - 2*q + 0*q)*(q - 2*q - q))*(75 + 3*q - 75).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14033 + 14032.98. Are 343 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 39*m**2 + 36*m + 102. Suppose -2*y - y + 30 = 0. What is the remainder when f(38) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*u - 394*u - 20586 = 270*u + 30828 for u.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 - (-1 + 2 - 3). Let c be (w\/12)\/((-2)\/(-8)). Suppose 19 = t - 3*d, 4*t + 11 = c*d + 59. Calculate the remainder when t is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170771 - 7286*z**3 - 170771.\nAnswer: -7286*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 18*c + 67. Calculate s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/45 and -56\/22476369?\nAnswer: 337145535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 2*m**2 + 1\/945*m**7 + 0*m + 1\/270*m**5 + 0*m**3 + 0*m**4 - 1\/270*m**6 + 0. Factor f(s).\nAnswer: 2*s**2*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 657\/54 + 1\/(-6). Let r be (4\/n)\/((-1)\/9). Put 2, r, -2 in decreasing order.\nAnswer: 2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2 + 10*u + 20. Let l(t) = -41*t**2 - 45*t - 90. Let g(f) = 2*l(f) + 9*w(f). Let o(d) = -1 + 1 - 4*d**2. What is g(o(c))?\nAnswer: 272*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 2*x**2 - 4*x**2)*(-2 + 3 + 0)*(-10 + 10 + 2*x)*(3*x + 0*x + 4*x) in the form t*x**4 + y + a*x**3 + f*x**2 + u*x and give t.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x. Let n(r) be the first derivative of r**3\/3 + 2. Give n(l(h)).\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -7134285.4.\nAnswer: -2140285.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 - 423*o**3 + 15*o - 426*o**3 + 850*o**3 to a*o**4 + x + h*o**2 + i*o + s*o**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47116 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 + 9*a - 14. Determine n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -15*j - 7. Let g(c) = -c**2 - 13*c - 16. Let t be g(-4). Suppose -t*z = -26*z - 6. Is b(z) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 43703*v - 131054*v + 43677*v + 43705*v. Let s(k) be the third derivative of 5*k**4\/12 + k**2. What is s(g(l))?\nAnswer: 310*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -133 + 159 + 2 + -16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 72 = -8*x + 33*x. Let a(b) = -b**2 + 8*b - 16. Determine a(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54578, -109003, -163402, -217775, -272122, -326443?\n\"Answer: 13*v**2 - 54464*v - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60047 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2. Let r be 0\/(-3 + (-16)\/(-4)). Let o(i) be the third derivative of 1\/8*i**4 + 0*i + r*i**3 + 2*i**2 + 0. What is o(j(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 483369\/3383 less than 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 314990\/(-70) - (-2)\/28*-2. Round u to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - z = y - 1369, y = -z + 273. Let o = y - 160. Let p = 39 + -20. What is the greatest common factor of o and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g**2 - 50*g + 23. Determine l(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4501780 and 18?\nAnswer: 40516020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mamb when four letters picked without replacement from abaaabambmbbmma?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/12 and (-19)\/5 - (-9)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7046 and 75\/224692.\nAnswer: 60891532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1412, 1418, 1424, 1430?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20541)\/492 + 41)*(16\/(-390))\/1.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + 2 + (-7 - 3). Solve 0 = -0*b - 5*b + 3*u - 35, 0 = 4*b + f*u - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 + 6*a**2 + 3. Let k(n) = 13*n**3 + 17*n**2 + 9. Give -8*i(w) + 3*k(w).\nAnswer: -w**3 + 3*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231793990 divided by 1010.\nAnswer: -229499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, c: 2}. Give prob of sequence ccii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 2*j**2 - j**2 + (-j + j + j**2)*(-7 - 22 + 1) to the form m*j + d*j**2 + k and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -253*a + 7. Let g(j) = 123*j - 3. What is 15*g(y) + 6*p(y)?\nAnswer: 327*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 815*p**3\/3 + 17105*p**2\/3 - 70*p = 0. Calculate p.\nAnswer: -21, 0, 2\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p)\/(p*p*p**(-5)\/p))\/(p\/(p*p**(-4\/9))*p**(-1))*(p**0)**(-1\/30)*(p*p**(2\/5)*p)**(-2\/11) assuming p is positive.\nAnswer: p**(3029\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3362 is divided by 3351.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 4*k. Let t be m(-4). Let r = 20 + -16. Sort r, t, -2 in ascending order.\nAnswer: -2, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26438 - 13036. Let w = 268101\/20 - a. Find the common denominator of -53\/8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-4))\/(30\/(-80))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2792, 3260, 3728?\n\"Answer: 468*c + 2324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + 3. Suppose 5*n - 8*t - 30 = -3*t, -5*t = p*n. Let b = n + -1. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*3*(-2)\/(-12). What is the remainder when 2*(45\/2 + r) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11725.93 millilitres in litres?\nAnswer: 11.72593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (3 - -11) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 25*p**6\/6 + 29*p**2\/2 - 62. Find the second derivative of r(i) wrt i.\nAnswer: 500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(539) + -6*(1 + sqrt(539)) + -5)*6*4.\nAnswer: -840*sqrt(11) - 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -673057, -1345995, -2018943, -2691907, -3364893, -4037907, -4710955, -5384043?\n\"Answer: -s**3 + s**2 - 672934*s - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.310803 and 0.3.\nAnswer: -1.010803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p. Suppose 2 = -7*f + 8*f. Let a be b(f). Suppose -a*k - 3*k + 30 = 0. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.6876114 rounded to 2 decimal places?\nAnswer: 74.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 9 (b) 1678 (c) 2\/11 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 less than 0.1201967719823?\nAnswer: -3.0798032280177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -5*a**4\/12 + 27*a**2. Let u(k) = 2*k. Calculate t(u(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9450*s**2 - 4735*s**2 - 4756*s**2.\nAnswer: -41*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(21\/9) - 3\/1. Suppose h = 2*t - 99, -5*t + 3*t + 5*h + 111 = n. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/1449 and 83\/15511752.\nAnswer: 108582264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 2. Let b be k(0). Suppose 0*m + b*m = -12. Find the common denominator of 137\/6 and (-86)\/m*(-1)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k - 54. Let p be m(-11). Solve 4*u = -3*x - 29, x = -2*u - p - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(2904) + sqrt(2904)*1) - sqrt(2904)) + sqrt(2904) + sqrt(2904))\/(sqrt(1452) - (-1*3*sqrt(1452) - sqrt(1452))).\nAnswer: -9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1614255 (base 7) in base 6?\nAnswer: -4433350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 14.091?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5729138.\nAnswer: 2, 2864569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 11*m - 137 = 4*s + 15, 3*m - 4*s = -4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 2. Let n be a(16). What is the greatest common factor of 80 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22633028 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 37*z - 1. Let b be u(4). Suppose 0*m + 4*m - q - b = 0, -3*m - 3*q = -114. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - -11. What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.119 + 0.485?\nAnswer: -0.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 6}. What is prob of picking 1 f and 2 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 10:24 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 + 20*x + 2. Let q be s(-4). Suppose -a + 39 - q = 0, -2*t - a + 177 = 0. Solve 86 = -5*v + t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3205281*f**2*o + 45*f**2 - 794*f - 45 wrt o?\nAnswer: -3205281*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008648 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 13?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 28, -8, 5, 1\/4 in ascending order.\nAnswer: -8, -0.08, 1\/4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*z = -29, -5*t - 11 - 42 = 2*z. Let v = -5 - t. Suppose -3*j - 32 - 50 = -v*o, -5*j + 28 = 2*o. What is the remainder when o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*240.8\nAnswer: 120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 2*p + 0*p)*(2 - 15 - 3) + 0*p + 0*p + p to the form j*p + l and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 12*r**2 + 137 - 4*r**2.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -29*q - 6. Let w(f) = 93*f + 20. Let k(x) = 7*l(x) + 2*w(x). Let r(m) = 25*m. What is k(r(v))?\nAnswer: -425*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t + 2. Let d be o(0). Suppose -57*h + 56*h = -2. What is the third derivative of 2*x + 3*x - 5*x - x**3 + h*x**d wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*p + 41*p**4 - 44*p - 170 + 86*p**4 wrt p.\nAnswer: 508*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -18. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, h: 7, v: 4}. What is prob of picking 1 r and 1 v?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffdfndfdnffnffnd. What is prob of picking 1 n and 1 f?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 4*p - 12. Let j be a(-6). Suppose -t - 5*t - 6 = j. Is -3 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 + 363960*f + 264451677 = 0. What is f?\nAnswer: -120589, -731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 324213 (base 5) in base 15?\nAnswer: 34a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:18 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**7\/70 - t**6\/40 - t**5\/10 + 19*t**2. Factor x(y).\nAnswer: 3*y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s. Suppose -3 = -w - s*w. Suppose 3*f - 32 = -5*c - 0, -6 = w*c. What is the highest common factor of 35 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o + 37092 = 203*o + 425*o. Calculate the remainder when 466 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 1. Let h(l) = 25 + 30 - 56. Calculate h(n) - 2*t(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10350 - 10338. Solve m*b - 16*b - 2*j + 14 = 0, 0 = -3*b - 3*j + 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -0.2 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 681, 645, 585, 495, 369, 201, -15?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 * -0.181.\nAnswer: 15.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-18)\/(9 - 3) + 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 >= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491 - 51. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-9 - (19 + -14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/39)\/(-4*110\/3036)*5\/6.\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198 + -191. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 34.2. Let y = -14 - -12.2. Let a = y + g. Sort a, -3\/7, -3 in descending order.\nAnswer: a, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41295 + 1.\nAnswer: 41296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 16. Let u = 2 - z. What is the highest common factor of u and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-3)\/((-6)\/4). Let b(r) = r**2 - 2*r - 9. Let l be b(-3). Solve 3*g + i - l = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3654 divided by 1827\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 54244?\nAnswer: 54224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.78 - 0.02. Let z = -0.2 + b. Let v = -1\/3 - -5\/6. What is the second biggest value in v, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3394000 to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221 - 3201?\nAnswer: -22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.721758 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -18. Suppose 2*q = -o*f, -q - q = -4. Let s = f - -14. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 110*w**3 + 2*w**2 + 2*w + 2. Let b(n) = 3078*n**3 + 57*n**2 + 57*n + 57. What is 2*b(s) - 57*d(s)?\nAnswer: -114*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -1. Let q = -6 - f. Sort q, -5, 1 in increasing order.\nAnswer: -5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/10 - 23*v**5\/10 - 73*v**3\/2 + 3*v**2 + 4*v + 335. What is the second derivative of o(i) wrt i?\nAnswer: 36*i**2 - 276*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9) - 51\/(-9). Calculate the highest common factor of 9 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 38*x**2 + 10*x + 27. Let t = -466 + 482. Is n(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(156) + 1*sqrt(156) + sqrt(156)))\/(sqrt(15)\/(sqrt(5)*-1) + sqrt(432) + sqrt(432)*-4).\nAnswer: -120*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**9\/7560 + l**5\/60 - l**4\/6 + l**2. Let r(w) be the second derivative of m(w). Differentiate r(c) with respect to c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 886344 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1605*a**2*o**2 - 2*a**2 - 2*a*o**2 + 270*a + 2*o**2 - 2*o - 32 wrt o.\nAnswer: 3210*a**2*o - 4*a*o + 4*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5 + (1 - 1)). Suppose 2*k - 3*o = -21, 3*o - 15 + 3 = -k. Let u = 1.1763 + -0.9763. Which is the closest to -1\/2? (a) u (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179221926 divided by -3?\nAnswer: 59740642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v - 23*v**4 + 13*v + 10*v - 2*v wrt v?\nAnswer: -276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 + 18*x + 21. Give h(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)*-2)\/sqrt(12))\/(sqrt(3)*1*2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 60*w**2 - 42*w + 801. Is k(15) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k - 16. Let a(i) = i**3 + 5*i**2 - 13*i + 13. Let v be a(-7). Is j(v) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223756 (base 8) in base 14?\nAnswer: -1d874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:30 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10513438, -10513438, -10513440, -10513444, -10513450, -10513458?\nAnswer: -10513468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101111011?\nAnswer: -101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - -54. Suppose -s + 0*s + x = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -199.0706 - -0.1006. Let y = 200 + f. Let k = y - 6.03. Put -2\/9, k, 0, 0.1 in descending order.\nAnswer: 0.1, 0, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/15 + 8114*x**3\/5 - 24717248*x**2\/5 + 517870136*x\/15 = 0.\nAnswer: 0, 7, 6082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -67. Let n(l) = -l**3 - 21*l**2 + 22*l + 54. Let a be n(s). What is the greatest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxfy when four letters picked without replacement from yykkfmyxyoykkyo?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1445951, -2891902, -4337853?\n\"Answer: -1445951*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-1)\/((-10)\/12). Let z(w) = -w**2 + w + 1. Let v(t) = 3 - 2 + 8*t - 2*t + 5 - 8*t**2. What is c*z(r) + v(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f - 2*n - 23 = 0, 0 = -4*f + 2*n - 12. Let v = -3 - f. Let j = v - -1. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10850 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 1 w when three letters picked without replacement from ghhgwhcwhgmgggcgwgc?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31974 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/30 - 25*v**2. Let h(b) = 2*b - 84. What is x(h(q))?\nAnswer: -8*q**2 + 672*q - 14112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*r - 4*q - 28, 10 = -2*q. Suppose r*i = 7*i. Suppose 2*x - 54 - 10 = i. What is the smallest common multiple of x and 44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 35*s**4 + 2*s**3 + s**2 - 71*s. Let q(b) = 18*b**4 + b**3 - 35*b. Let a(l) = -2*d(l) + 5*q(l). What is the third derivative of a(v) wrt v?\nAnswer: 480*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -68, -3\/5, -6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 4*m + 10. Let c(i) = 11124*i**2 + 12*i + 30. Determine -c(s) + 3*y(s).\nAnswer: -11118*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.587 + 3.087. Which is the nearest to 2? (a) 55 (b) -5\/3 (c) 2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**2 + 5*b. Let y(a) = -61*a**2 + 40*a. Let v(f) = -15*f**2 + 10*f. Let p(h) = -9*v(h) + 2*y(h). What is -4*p(m) - 9*u(m)?\nAnswer: 2*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 10) to base 12\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149338*w**4 - w**3 + 407687*w wrt w?\nAnswer: -1792056*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/12*20\/(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012352 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10009145 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/4 - 143779*c\/2 + 20672400841\/4 = 0. What is c?\nAnswer: 143779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (306\/225)\/17*-5*30\/(-126)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 14*f - 5. Calculate w(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.6 + 25. Let f = -773\/2 + 386. Let r = 12 - 12.1. What is the nearest to r in m, 3\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**8\/84 - 2*g**7\/35 + 4*g**5\/15 - 966*g**2. Factor p(u).\nAnswer: -4*u**2*(u - 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13 - (-10 + 2))*1*-61. Let n = m + -3051\/10. Let d be (-2)\/3 + (2 - 2). Put -5, d, n in descending order.\nAnswer: n, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 813\/5 + -162. Which is the closest to 1\/3? (a) -1\/5 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*m - 973, -2*m + 3*m - 189 = 2*o. Let y = m + -184. Solve -16 = y*p - 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -111. Let p be (-14)\/z*(-1 + 16). Let o = 10 - p. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10306413437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = q + 4*q. Let a = -885 - -888. Calculate the remainder when a is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t + t**3 + 4*t - 3*t**2 + 3 + 6*t + 3. Let o be a(3). Solve 0 = 3*h + 3*y - 2 + 5, -3 = -o*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -18276 + 5608. Suppose 1059 = a + 2*i - 3*i, o = 3*a - 5*i. What are the prime factors of a?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 13657.856.\nAnswer: 13653.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*d = 10224, -i - 3*d - 752 + 3308 = 0. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-22)\/v)\/v*v*v)\/v*v)\/v*v*v**(2\/61)*v**15\/v*v\/(v\/v**(-3)*v) assuming v is positive.\nAnswer: v**(-730\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2. Let t(n) = -40*n - 16. Let x(r) = -24*s(r) - 3*t(r). Let g(d) be the third derivative of -d**4\/24 + 107*d**2. Give g(x(b)).\nAnswer: -120*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207567573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 36*r**2 + 27*r - 5653. Determine m(31).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 14.7. Sort -0.2, 0.4, i.\nAnswer: -0.2, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16469113807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 153129 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) -1 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 57 - ((-7338110)\/(-1365))\/94 - (-176)\/42\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10*p**2 - 9*p**2 - 2 + (-2 - 2 + 5)*(-8 + 3*p**2 + 8))*(1 - 1 + p + (-4 - 2 + 4)*(2*p + 2 - 2)).\nAnswer: -12*p**3 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5297*m*w**3 - 284*m*w**2 + 72*m - 6*w**3 - 417423*w**2 - 4*w + 5 wrt m.\nAnswer: 5297*w**3 - 284*w**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -5 - 2)*13. Suppose 2*n = 2*t - 10, 4*n - 3*n + 1 = -t. Suppose -t*m = -0*m - k. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/42 + 62\/403 + (-2001)\/(-91).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 7*a = -3*a + 40, 87*a = -2*c + 84*a - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 463*d*w**2 + 30025735*d*w + 2*d - 42089*w**2 wrt w.\nAnswer: 926*d - 84178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -578.7 and 0.25.\nAnswer: -144.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 2, f: 4}. Give prob of picking 2 f and 1 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:33 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 5*r + 2. Let g be 9 + -8 + 0 + -1. Solve -r*n - n = g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l**3 + 504*l**2 + 2*l - 1301*l**2 - 9*l**3 to n*l**3 + s*l + k + b*l**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 15 = -2*d. Let m = 2677 + -2678. Sort 1, m, d in descending order.\nAnswer: 1, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*q + 28 = -s, 3*s - 2*q = -14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 6*l - 5. Calculate the remainder when 41 is divided by p(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + sqrt(396)*2)*6 + 2 + 4*(sqrt(11) + (sqrt(11)*4)**2).\nAnswer: 112*sqrt(11) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00088393 to five dps.\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*n**2*q*r**2 - 14*n**2*r*z - n*q*r**2*z - 3*n*q*r**2 + 7*q*z + r wrt z.\nAnswer: -14*n**2*r - n*q*r**2 + 7*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t**3 - 274*t**2 + 552*t + 136 = 0 for t.\nAnswer: -17, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 32*d**2 + 230*d + 69. Calculate s(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9077376 divided by -29472.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 432921000 rounded to the nearest one million?\nAnswer: 433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 19891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4428 + (-1 - -1))\/(16 + 6630\/(-420)).\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + 51\/54. Let n = 17 - 12. Let w be -2*n\/(-165)*-3. Sort -6, t, w in decreasing order.\nAnswer: t, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49.42667ml?\nAnswer: 0.04942667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 183*b**3 + 6441*b - 25651002 wrt b.\nAnswer: 549*b**2 + 6441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqlqvqlq. What is prob of sequence qvq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002344910235 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, 5, -26, -159 in ascending order.\nAnswer: -159, -26, -10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5)**27 assuming q is positive.\nAnswer: q**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 4, d: 2}. What is prob of picking 1 z and 1 d?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2868*y**3 - 2976*y**3 - 24*y - 26*y + 20*y as j + u*y**3 + g*y**2 + i*y and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.002 - -0.041. Let d = -0.357 - p. Let k be -4 - 4\/8 - -4. Which is the closest to -3? (a) k (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 31*p + 71. Let v be 5 - 72\/(2 - 4). Suppose -46*k = -v*k - 110. Is r(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 335841*i + 335846*i = 50, -5*h + 4*i = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17.86916 times -0.3\nAnswer: 5.360748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 971 = -3*s - 880, 13*j - 160 = -4*s + 10*j for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453271, -906520, -1359769, -1813018, -2266267?\nAnswer: -2719516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -515 - -512.2488. Round m to 2 decimal places.\nAnswer: -2.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 0.4 (c) -2\/35 (d) 72.1 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2)*(3 - 0 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-28)\/189)\/(2\/(-1)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 2*(7 - 3). Let u be 15\/(-30) + 14\/t. Calculate the remainder when 11 is divided by (-7)\/((-6)\/u + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/17703415 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 - 135. Suppose q - 22 = k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4*j + 7 - 3, -3*k - 14 = 4*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*y - 31.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/20 + h**4\/2 + 2*h**3\/3 - 5*h**2\/2 + h. Let x be (-154)\/42 - (-1)\/(-3). Let l be (-18)\/21*(-3 + x). Give v(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + u = -16, 5*h - u = 7*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30402 + 340?\nAnswer: 31042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -188684, -377413, -566142, -754871?\n\"Answer: -188729*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5663*t + 1113*t**2 - 5663*t + 11324*t + 1386 with respect to t.\nAnswer: 2226*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -6. Suppose 0*l - d = -l. Solve -y + 3*f = 9, -y - 2*y - 5*f + l = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97, -100, -103, -106, -109?\n\"Answer: -3*w - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -344 or -341?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8562 and 48?\nAnswer: 68496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -209\/420 and 4\/399.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7317341 - 16.1584129. Let p = 0.113693 - w. Let f = p + -19. Round f to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116 greater than or equal to 3106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + f + 57624, -2*f - 76828 = -6*t + 2*t. Is 113 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p - 3*p + p)*(0*p**2 - p**3 + 0*p**2) - 2*p**3 - 3*p**4 - 3*p**4 + 4*p**4)*(-766*p + 24*p - 760*p).\nAnswer: 4506*p**5 + 3004*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/873 and -173\/2910?\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35982, -35978, -35974, -35970, -35966?\n\"Answer: 4*q - 35986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*j**4)*(-2*j + 0 + 0) + 0*j**5 + j**5 + 0*j**5 - 18*j**5 + 6*j**5 - 7*j**5.\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42066? (a) -1\/13 (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egegeg. Give prob of picking 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/20 + (-4)\/(-2). Factor 1\/4*l**2 + 0 - j*l.\nAnswer: l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 9*d**2 + 6*d - 11. Let k = 5 - 10. Let p(q) = -q**3 - 4*q**2 + 8*q + 7. Let a be p(k). What is the units digit of x(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e18 + 2?\nAnswer: e1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k - 46*k**2 - 4 + 0*k + 83*k**2 + k**3 - 46*k**2. Let v be z(8). Differentiate -j**4 + 0*j**v + 10*j**4 - 13 wrt j.\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15088910?\nAnswer: 2, 5, 163, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7606 - 7606 - 139*r + (0 + 2 - 3)*(2*r + 0*r + 0*r - 1).\nAnswer: -141*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/((-146025)\/472)*5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 17696372.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -25*v**3 - 3*v**2 - 3. Let x(t) be the first derivative of -175*t**4\/4 - 20*t**3\/3 - 20*t - 3349. Calculate 20*s(o) - 3*x(o).\nAnswer: 25*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 - 7*d**2 + 7. Let w(g) = 3*g**3 + 5*g**2 - 5. Suppose 4*m + s + 4*s - 12 = 0, m = 3*s + 20. Let o = m + -3. Give o*x(q) + 7*w(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/120*107922\/18840*-4. Let m = c + 3\/628. Find the common denominator of -115\/24 and m.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 25*c + 28 = 0. Calculate the highest common factor of 84 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2948 divided by -31?\nAnswer: 2948\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 120 = 4*w, 0 = a + 5*w - 3*w - 30. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 16*u**2 - 17*u - 22. Give r(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 27 = -2*q. Let l = -19 - q. Is -4 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from {o: 2, s: 16}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - (115 + -177) - (-38)\/(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*t - 0 - 4, -t - 4 = 0. Let w(q) be the third derivative of 0*q - 3*q**2 - 1\/24*q**c - 5\/6*q**3 + 0. Give w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 330*b*g**2 + 2*b*g + 30277*g**2 - 41681181*g wrt g.\nAnswer: 660*b + 60554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42296891 to the nearest integer?\nAnswer: 6504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 13*c - 4. Let v(w) = -9*w + 3. Let b(f) = -2*q(f) - 3*v(f). Let y(x) be the first derivative of x**3\/3 - 3*x**2\/2 + 3*x + 2. What is 6*b(j) + 2*y(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10071163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 - 119.937. Let f = 0.06300019 - m. Round f to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15828 + 15954. Calculate the least common multiple of m and 264.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.837 rounded to one decimal place?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 24*n + 10*n + 8*n + 0*n + 7*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -238*h + 421*h - 2521008. Does 84 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1143, -2269, -3521, -4905, -6427, -8093, -9909?\nAnswer: -11881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/5 - 24678*x**2\/5 - 3699072*x\/5 + 45449005056.\nAnswer: -3*(x - 2590)*(x + 5408)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2633526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125 - -179. Let s = -51 + r. Which is the closest to -5? (a) s (b) 3\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4495 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 74664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 0.005.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -68*p**3 + 9*p**2 + 3*p + 5. Let u(z) = 69*z**3 - 11*z**2 - 4*z - 6. Determine -5*u(s) - 6*y(s).\nAnswer: 63*s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 64 - 4900\/112 - (1 - (-3)\/12)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85*60\/3060)\/((-5)\/48).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/18, 5, 133, -66?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 56. Let w = -113 + 230. Let d = w - 103. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b = 40*b - 255. Let h(j) be the first derivative of -9\/16*j**4 + 10 + 0*j - 3\/2*j**2 - 2*j**b. Factor h(l).\nAnswer: -3*l*(l + 2)*(3*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 5*g - z + 3529 = 0, -z - 4409 = -5*g. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193572 is divided by 10954?\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 15*s - 32. Let n be i(-11). Suppose 2*v - 22 = -n. Suppose 2*a - v*u - 75 = 0, 5*a = 2*u - 48 + 225. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25a360 (base 13) in base 10?\nAnswer: 907946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 174998225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.04 (b) -10 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 39*n + 5. Let b be s(23). Let x = b + -560. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 77 - 130 + a)*(-1 - 4*a**2 + 1)*(-438*a - 61*a**2 + 438*a).\nAnswer: 244*a**5 + 3416*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 3 - (-5 - (-11 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114958 is divided by 6050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13202214011 + -11?\nAnswer: -13202214022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(385\/(-22)))\/((-18)\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19155722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**3 + t**2. Let a be h(-1). Let k = 156313\/18 + -8687. Find the common denominator of k and 363\/8*a\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 399, 1, -4, -41739, -2 in descending order.\nAnswer: 399, 1, -2, -4, -41739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 8, j: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:26 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.017 + 0.017. Let m = -34 - a. What is the closest to m in -4, -5, -1\/12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:25 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 60*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98857.35ml in litres?\nAnswer: 98.85735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 3, e: 2, a: 3, o: 2}. What is prob of sequence evot?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**3 + 7*s**2 - 5*s + 5. Let z(c) = -4*c**3 + 3*c**2 - 2*c + 2. Let q be 26\/(-117) - 96\/54. Determine q*l(o) + 5*z(o).\nAnswer: -4*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 12*r + 13. Let a be p(-14). Let o = a + 46. Suppose -5*w + 46 = o. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.2967?\nAnswer: -0.05934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l**2 + l + 6. Let h be f(-2). Let t = 65 + h. Find the second derivative of 4*v**5 - 2*v - 7*v + t*v**5 + 3*v wrt v.\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-208)\/91 - ((-16)\/7 - -2))*-18. Solve 8*p - 44 + t = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 14*q + 82. Let x = 96 - 113. What is the units digit of d(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.42 + -43. Let w = d + -0.4199912. Round w to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818992.7 hours in days?\nAnswer: 75791.3625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -m - 2*k - k, -12 = m + k. Let s be ((-3)\/(-6))\/(m\/8). Is s > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 3017314?\nAnswer: 33190454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -556*g*u**4 + 6*g*u**2 - g*u - 54*g + 3*u + 4 wrt u?\nAnswer: -6672*g*u**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 - 5*k. Let s(h) = h. Let z(o) = 5*s(o) + u(o). Let b(r) = r. Determine z(b(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1839700.\nAnswer: -1\/1839700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (42 - (5 + -9) - ((-21 - -17) + -7))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*j + 202*j + 2256 = -84*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 25 = -5*q - 7, 5*q + 80 = -5*i. Let k(n) = n**2 + 6*n + 3. Let y be k(-6). Let t be (y\/2)\/((-9)\/i). Solve t*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p**2 + 492*p + 248. Let f be t(-61). Solve 2*y + 4*b - 4 = 0, 199*y - f*b - 8 = 204*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkn when three letters picked without replacement from nnkkkknnkkkkn.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, -4, -3, -194, 0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 166*y + 4093. Give x(-135).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -786 - 13?\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 28. Let a = 20 - b. What is the third smallest value in 3, 0.6, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2734 + -2734.1. Let p be (0 - 4\/8) + -2. What is the closest to h in p, 16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 12}. What is prob of sequence tt?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 95. Suppose -7*s + 77 + 0 = y. Which is bigger: 8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 605 = -65. Does 45 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4959827 nanograms?\nAnswer: 0.0004959827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 41*b + 1 + 21*b + 19*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 232\/87 - (-3)\/((-9)\/2). Sort 5, d, -36, -2 in decreasing order.\nAnswer: 5, d, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 620 - 568. What is the greatest common factor of z and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204340879 by 97.\nAnswer: 2106607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59106856 is divided by 19702279?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 536627247 to the power of 1\/2, to the nearest integer?\nAnswer: 23165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/5481 and -53\/6090.\nAnswer: 54810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 12. Suppose -3*m = -54 - z. What is the remainder when m is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 97642, 195277, 292910, 390541, 488170, 585797, 683422?\n\"Answer: -v**2 + 97638*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrkurppuuulbu. Give prob of sequence uku.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -5*f - 60, -m - 4*f - 243 = -279 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010010 - -1000110011000011?\nAnswer: 1000011111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38829328 to the nearest integer?\nAnswer: 6231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 - 5*u + 10. Let w(r) = 4*r**2 - 6*r + 8. Let f(d) = 7*w(d) - 6*x(d). Let i be f(-5). Solve 3*j + v - 4*v - 9 = 0, 3*j + 2*v + i = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37905 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.96? (a) 1 (b) -0.3 (c) 733\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*y + 9*y - 32*y**2 + 9 + 9*y + y wrt y.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -96\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11598490?\nAnswer: 2, 5, 41, 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8473 bigger than -8606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 140?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -1098\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108591827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-13 - -8 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.18 - -1.18. Let s = -106 - -111. Which is the nearest to 2\/9? (a) s (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17872 and -0.078?\nAnswer: 0.01394016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -160, 5, -3, -0.34, -0.03, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261250 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12393\/1646 + 24\/823. Which is the closest to 5? (a) -0.1 (b) x (c) 2\/21 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16096690.\nAnswer: 2, 5, 1609669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 0.4 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*r + 3 = -234*r, 5*r + 6 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/275 and -2\/147345?\nAnswer: 736725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1267 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000555122396 rounded to seven decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1722721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110292 to the power of 1\/2, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5664 divided by -108\nAnswer: -472\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 + 52.2513?\nAnswer: 52.3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 4*c**2 + 3*c - 7. Let v = -13 - -8. Let f be g(v). Suppose f*i = 29 - 5. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6627869\/75 - -88381. Let f = -1\/75 + s. Find the common denominator of 6\/7 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*c = 7, -4 - 61 = -5*f - 4*c. Let g(b) = b - 7. Let d be g(f). Solve -4*v + 10 + 5 = -m, v - 2 = d*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2290963135.\nAnswer: 5, 458192627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40473685 and 1666?\nAnswer: 566631590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8600645.4 to the nearest ten thousand.\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 3*b. Let w = 4 - 0. Let x be c(w). Let s = -5 + 8. Solve -s*v - v = -4*p + 28, -x*v = -2*p + 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 4) to base 5\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 5 + 42 + 281 = -3*a - 178, -74 = -l - 5*a for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86924703 and 85026.\nAnswer: -86839677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 9*f. Let g be 1\/(-2) + 10\/4. Suppose f*s = -g*s + 6. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83be (base 15) to base 16\nAnswer: -6cce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - b + 56 = 0, -274 = 2*q + 3*q - 2*b. What is q rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -589, -774, -833, -724, -405, 166?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2 - 4*y**2 + 0*y**2 - 953*y + 954*y. Let u(k) = k - 2. Give -3*c(v) + u(v).\nAnswer: -3*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:29 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttitiiftqbbnntb. Give prob of sequence bbi.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-6)*f**(2\/5)*(f*f\/f**(-3))\/((f\/f**(-5\/2))\/f*f) assuming f is positive.\nAnswer: f**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 17*i**2 + 15*i - 3. Let k be m(-8). Let j be (-2)\/6*(-16 + k). What is the common denominator of (-75)\/(-90)*j\/(-3) and -75\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1086 - -3.065314. Let s = -0.0412 - h. Round s to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442810885 divided by 5.\nAnswer: -88562177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 3)*(0*b**3 + 0*b**3 + b**3) + (-3*b - 3*b + 4*b)*(2 + 2*b**2 - 2) - 374*b**3 + 139*b**3 - 894*b**3 to m + i*b**2 + h*b + g*b**3 and give g.\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2*s)*(-1 + 6 + 0) + 5*s - 4*s - 2*s)*(-18 - 23 + 38 + 3*s**2 - s**3).\nAnswer: -9*s**4 + 27*s**3 - 27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2089, 3707, 6373, 10075, 14801, 20539?\nAnswer: 27277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1067363 (base 12) to base 6\nAnswer: 150534203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 2*p - 4. Let u(v) = 6*v**2 + 10*v + 20. Give -11*f(g) - 2*u(g).\nAnswer: -g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -12. Suppose -2*y + 0*s = 5*s - m, -4*s = -2*y + 4. Solve -q - 5 = -y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 279*k**3 + 3*k**2 + 11*k + 9. What is y(-1)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 2*q + 72 = 0, -2*o - 9509 = -3*q - 9603 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 9027 + 3934. Suppose o = -2*z + 1023. Solve z*u - 16*u = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -104, -1\/2, 0.1, 1\/6, 162?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3103612\nAnswer: 1\/3103612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 32) + 11 - -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + (1 - -4) + (336 - -1). Let m = w - -298. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 15*s + 4. Let b be c(-7). Suppose k - 7 = -2*x, 5*x = 5 - 0. Solve f + 1 = -2*p - 4, -4*p + k*f + b = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23, -54, -79, -98?\n\"Answer: 3*k**2 - 40*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2825740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/49696 and -77\/1552.\nAnswer: 4820512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from nbpbbbppb.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 + 10 = 0. Let q(h) = -47*h - 36*h + 8 + 80*h. Let b(j) = -5*j + 15. Calculate s*b(v) + 11*q(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 23*c + 1110. Give v(-47).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-77 - -65) + (31 - 1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 11*m - 10. Let h = 20 - m. What is the least common multiple of 22 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33901 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*r - 220, -2*h - r = h - 132. Suppose -16 = 4*z - h. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 7, x: 2, b: 4, y: 4, c: 2}. Give prob of picking 1 b and 1 c.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -380.008971 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3718 - 520?\nAnswer: 31b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-99)\/(-66) + ((-22)\/20)\/(4\/5). Factor 0*f + 0 - 1\/4*f**2 - 1\/8*f**3 + x*f**4.\nAnswer: f**2*(f - 2)*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637839321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 2*b**2 + 5*b + 6. Let u(f) = 10*f - 8. Let d(p) = p**2 - 3. Let a be d(3). What is the remainder when u(a) is divided by g(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165537*v = -165534*v + 345 for v.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*o + 33, 2*o - 164 + 9 = 5*x. Let m = -24 - x. List the prime factors of 261 - (-3 - (m + (-12)\/3)).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**4\/24 + l**3\/3 + 19*l**2 + l. What is a(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-5)*a)\/(a*a**14*a*a))**(-12) assuming a is positive.\nAnswer: a**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -198. Let k = 117.668 + m. Round k to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 141, -3, -8, 1 in decreasing order.\nAnswer: 141, 1, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 + 7*d**2 - 12*d**2 - 5*d + 8. Let x be k(2). Is ((-24)\/(-14) - x) + (-26988)\/(-84) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3561)\/3)\/(78\/2340). What is g rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 y when three letters picked without replacement from rqdqfkrqyyfdfqr.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 992*u**6 + 143*u**2?\nAnswer: 119040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(133))\/(sqrt(343)*-3 + sqrt(7)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 8. Let z be v(0). Let s be (1 - 2)\/((-1)\/24). What is the greatest common factor of z and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {u: 2, p: 4, h: 2, k: 1, g: 2, b: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 55499?\nAnswer: 55499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3213 + -3147. Calculate the least common multiple of p and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.243 - 4.757. Let q = 0.033 + 0.011. Let u = 0.064 - q. Which is the biggest value? (a) u (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/(-8))\/((-36)\/(1872\/143))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -5*a**2\/2 + a - 154. Let h(i) = -11*i. Determine r(h(w)).\nAnswer: 55*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 10:59 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -57527421.\nAnswer: -1\/8218203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**5\/20 - g**2\/2 - g + 79. Let t(k) be the first derivative of -3*k**4\/4 + 6*k - 2. Determine 6*m(f) + t(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.89 + -0.11. Are 0.5 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0 + 0*i**4 - 12*i - 1\/2*i**2 - 2\/15*i**5 - 2*i**3. Let x(c) be the first derivative of f(c). Differentiate x(b) wrt b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258012423.\nAnswer: 3, 149, 181, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3449 + 1520. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**2 + 6*v + 4. Let t(n) = 15*n**2 - 11*n - 9. Determine 6*t(b) + 13*w(b).\nAnswer: -b**2 + 12*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 8. Let l be q(-6). Sort l, 1, -1 in ascending order.\nAnswer: -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*r - 14, 0 = c + 3*r - 4 + 27. Suppose -4*g = 5*s + 1167, -2*g = -s + g - 222. Let k = s + 226. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y*(y\/(y\/(y*y*y**(-14))))\/y)))**(-2\/35)\/(y*y**(-13)\/y*y\/(y\/((y*(y\/(y*y\/y**(-1\/12)*y))\/y*y)\/y))))**(-11) assuming y is positive.\nAnswer: y**(-72589\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 5315085.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, h: 1, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 6 + 12. Which is bigger: g or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 31 - 345*a + 342*a in the form p*a + b and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t + 3012. Let h = t + 1448. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/17, 3, 179 in decreasing order.\nAnswer: 179, 3, 8\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 519 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(12\/8 + -1). Let u(v) = 2*v + 1. Calculate u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + -5*-1*sqrt(5808) + 3))**2.\nAnswer: 35200*sqrt(3) + 2323600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12892939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 27. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269.7 + -270. Suppose 4*m = -5*n - 14, -n + 3*m = 5*m + 4. Put 2, -0.4, n, o in decreasing order.\nAnswer: 2, o, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14406 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-7)*2\/((-4)\/(-10)). Suppose j*l - 11*l + 56 = 0. Which is the smallest value? (a) l (b) -0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.047, 1\/9 in descending order.\nAnswer: 0.5, 1\/9, -0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8 - 12. Factor 8*y**2 + 83*y + 0*y**i + 4*y**3 - 111*y + 16.\nAnswer: 4*(y - 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1 - 2. Let t be (a\/5)\/((-6)\/(-30)). Let r(y) = y**3 - 8*y**2 + 4*y - 32. Let m be r(8). Solve 0 = t*d - m*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -121 - -4?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w + 42*w + 12 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + ((-84404)\/40 - -5). Let t = a + 2103. Let d = 1\/3377 + 219502\/10131. What is the common denominator of d and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*b - 14, -2*b - 3*r = 13 - 3. List the prime factors of ((-1)\/1*2 - -1371) + b.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -42. Let l(k) be the third derivative of 1\/6*k**3 - 2*k**2 - 1\/120*k**j + 0 + 0*k - 1\/60*k**5 + 1\/24*k**4. Factor l(y).\nAnswer: -(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/56*(11 + -5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -2, -112940?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 - 3100*d + 2*d**3 + 3100*d.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**2 + 14*w + 250. Calculate v(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 8 - 4003*p + 13 + 2.\nAnswer: -4003*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:21 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507836 is divided by 168904.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1716 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 403\/4 - 102. Let k be 4\/(16\/(-5)) - (-60)\/80. Put k, 5, y, -4 in decreasing order.\nAnswer: 5, k, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714, -1166, -1628, -2106, -2606?\nAnswer: -3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*f + 12, 3*i + 4*f + 6 = 5*i. Let o = -4 - i. Differentiate 0*g**3 + g**3 + o - 3*g**3 wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1003*l**2*u + 43*l**2 + 77*l*u**3 + 772*l - 2 wrt u.\nAnswer: -1003*l**2 + 231*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4692 and 373152.\nAnswer: 6343584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93030 by -5292.\nAnswer: -2215\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-20)*18\/(-27)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 10:33 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17600 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 475, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120, -132, -130, -108, -60, 20, 138, 300?\n\"Answer: p**3 + p**2 - 22*p - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 81*t - 64144. What is y(297)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (-4*sqrt(270))\/sqrt(9))\/sqrt(10).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303149 is divided by 303146.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 241210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6 and -35\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2224, -8251, -18092, -31747, -49216, -70499, -95596?\n\"Answer: -1907*a**2 - 306*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*n**2 - 6*n - 2\/5*n**3 - 10.\nAnswer: -2*(n - 5)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 741 = 3*i, 2*i - 466 = 4*g + g. Let t be (-14*10\/(-1120))\/((-2)\/(-4164)). Let k = t - i. Calculate the common denominator of k and -13\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 192 in -0.3, -2, -2\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1073779 and 111\/434?\nAnswer: 66574298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 2)*(-4406*i + 2176*i**2 + 4406*i) to u*i + g*i**2 + k and give g.\nAnswer: 4352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-648)\/(-945) + 4\/(-14)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2244.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*o - 4*o - 4*g, -3*o = -5*g + 23. What is the common denominator of -79\/18 and (-26)\/(-32) - o*(-5)\/10?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 48*g + 196. What is the hundreds digit of q(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18066 (base 9) in base 11?\nAnswer: -93a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 5 - 12\/(-2). Let u = g + 2. Find the third derivative of 5*c**2 - 2*c**2 - 2*c**4 + u*c**4 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/3)*x*x**(-5\/9) assuming x is positive.\nAnswer: x**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -9*w - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 149*a**2 + 1699*a + 704. What is s(11)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p. Suppose -4*j + j + 3*g - 171 = p, -g + 305 = -5*j. Let v = j - -193. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5071*m*q**2 - 10*m*q - 661*m + 3*q**3 + 2*q - 1 wrt q?\nAnswer: 10142*m + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48872, 48890, 48908?\nAnswer: 48926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 15*s - 6*s - s**3 - 2*s**2 - 8*s as z*s**3 + p*s + h*s**2 + w and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 1265.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 3*q - 11. Let v = 8289 + -8282. Calculate p(v).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -2\/21 (c) 0.403\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357.521 hours in days?\nAnswer: 56.563375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f**5 + 1\/6*f**3 + 1\/12*f**4 - 97\/120*f**6 + 0 + 0*f - 11*f**2. What is the units digit of l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*q - 642848 - 286339. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 20657245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 17*w - 13. Let v be y(-16). Which is the closest to 14? (a) -2 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 251, -1, -2, -13, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 26748 and 1269 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {w: 1, u: 1, f: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(-3*r**2 - 3 + 3)*((-4 + 4 + 1)*(-2 + 2 - 1) - 2 - 1 + 1) to b*r + n*r**2 + l and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002932301 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 44, -5 in ascending order.\nAnswer: -5, -4, 13, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 24\/28 - -2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = 3*r, 0 = -3*x - 5*r - 14 + 60. Let y = -2\/67 + 1817\/268. Let d = x - y. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 148333 = 3*f, 0 = -j - 105 + 109. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3\/5, -1\/4, 28, 96 in decreasing order.\nAnswer: 96, 28, 0.3, -1\/4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 7*w**2 + 4*w - 20. Let u be b(-8). Let g = -16 + 21. Suppose 2*a = -2*s - 4, 4*s + a + 4 = 2. Solve s = -g*x + x + u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123.333 - -711.337. What is p rounded to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p - 67286 = -66487 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6336)\/192 - 7\/(-3346)*15770\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 2, m: 1, u: 4, y: 1}. What is prob of picking 1 z and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/14*42\/(-27). Suppose -28*k = -17*k - 11. Which is the third smallest value? (a) k (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6130*n**3 + 2*n**2 + 7*n + 122. Let z(t) = 40*t**3 - t**2 - 2*t + 1. Let p(k) = -a(k) - 3*z(k). Find the third derivative of p(r) wrt r.\nAnswer: -37500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2)*(-128)\/(-19360). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1136 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -6*f + 44*f - 2*f. Calculate the least common multiple of f and 1 - ((-27)\/(-1))\/(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 374, 851, 1780, 3311, 5594?\nAnswer: 8779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 621 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135993 + 135983 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1413639 (base 12) to base 6\nAnswer: 221524113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(98) + 0 + sqrt(98) + sqrt(98) + -1 + (sqrt(98) - (2*sqrt(98) + 2))) + (sqrt(12) - sqrt(432))\/(sqrt(36)\/(sqrt(6) + sqrt(24)\/sqrt(4))))**2.\nAnswer: -2400*sqrt(2) + 13025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1022 divided by -1022.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -839 + 257. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(220)*-4 - sqrt(220))*3)\/((sqrt(5000) + (sqrt(5000) - (sqrt(5000) + -1*sqrt(5000))))\/sqrt(10)))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k**2 + 7*k + 18. Let x(t) = 3*t + 49. Let u be x(-17). Is m(u) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 1:45 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p**2 - 41*p - 83. Give f(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2623159 and 4389?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*a - 4*n - 126, -4*n = 20. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0718965 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 21 = 12, 4*t = -f + 17897. Is f a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/63 of a week?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, v: 5, y: 3, h: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34113953 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.6128 - -10019.0047\nAnswer: 10019.6175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddzttymtzymydmoy. Give prob of picking 1 d, 1 m, and 2 t.\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 32812*w**4 - 13*w - 51*w + 32757*w**4 wrt w?\nAnswer: -660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 327782 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 528, -1, 4 in decreasing order.\nAnswer: 528, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018858967 rounded to five decimal places?\nAnswer: 0.01886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836566.\nAnswer: 2, 31, 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*c + 12269 + 6673. What is the greatest common divisor of c and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 - 5*l - 4. Suppose 0 = 4*g + 2 + 6, -5*n = 5*g - 85. Let w = n - 21. Let x = 5 + -2. Let a(v) = 3*v**3 - 4*v - 3. What is w*y(j) + x*a(j)?\nAnswer: j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t. Let m(y) = -8*y. Let v(p) = -6*c(p) + 5*m(p). Let r(d) be the second derivative of d**3\/2 - 4*d. Give r(v(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r - 1 - 27*r**2 + 1 + 10*r to the form p*r**2 + a*r + m and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 - 6 = 0. Suppose -3*r - n = 5*c - 15, -5*r - c - 11 = 0. Let l(d) = -d - 1. Calculate l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = r, 5*t = 4*r - 3 + 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -259848899382 and 0.3.\nAnswer: -259848899381.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 42323*u**3 + 27*u**2 + 26*u - 29. Is a(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -14. Suppose 0 = 3*x + t - 79. What is the greatest common divisor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00129516 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose -2*h - 2*u = -48, i = -3*u + 11. Let z = h - 12. Solve -4*x = -z - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 6 = 0, 4*c - 2*i + i - 19 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-34) + 24\/(-204). Let q(v) be the first derivative of 2 - 1\/5*v**j + 0*v + 2\/15*v**3. Let q(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*k**5 + 68*k**5 - 50*k**4 + 49*k**4 - 32*k wrt k?\nAnswer: -1260*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -788, -789, -792, -797, -804?\n\"Answer: -o**2 + 2*o - 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 83380.\nAnswer: 250140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = -3*y. Let m = 4.9312 - -0.0688. Which is the nearest to y? (a) 3\/5 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 - -63. Let p = k + 91. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193495 + -38052. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k. Let p be (-968)\/(-176) + 15\/(-6). Let m(q) = -5*q - 1. Determine p*g(c) + 2*m(c).\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 165445, 3, -0.2?\nAnswer: 165445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -129*k**2 - 245*k - 10. Let i(v) = 25*v**2 + 49*v + 2. Let x(b) = 11*i(b) + 2*o(b). What is the hundreds digit of x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0)*(7 + -8). Suppose -3*m = -2*m - n. Let v = 1 - m. Let d(s) = -s**2 - s - 13. Calculate d(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njqg when four letters picked without replacement from {c: 6, n: 3, j: 5, g: 5, q: 1}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 747 + 2160 = 9*u. What is the greatest common divisor of 119 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/3 - 1396*h**2\/3 + 466*h = 0. Calculate h.\nAnswer: -699, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 291, 306, 327, 354?\n\"Answer: 3*o**2 + 6*o + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*v**4 - 58137*v**2 + 2*v - 203913?\nAnswer: -240*v**2 - 116274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 198*x + 11755 - 20863 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i)**(-1\/36)*(i**(-4\/7)*i)\/i*i*i**(1\/5)\/i*((i\/(((i*(i*(i\/(i**12\/i))\/i)\/i*i)\/i)\/i))\/(i*i**(-4)\/i))**(4\/27) assuming i is positive.\nAnswer: i**(7241\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 10 = -3*r, r = -21*j + 17*j + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -23. Let m = a + 10. Factor 0 + 0*j**2 + m*j - 2\/5*j**3 + 2\/5*j**5 + 0*j**4.\nAnswer: 2*j**3*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 36, -2, 5 in decreasing order.\nAnswer: 36, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5 + 14\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2.15.\nAnswer: -6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.649279 to the nearest integer.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2359, 4819, 7301, 9805, 12331, 14879, 17449?\n\"Answer: 11*u**2 + 2427*u - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 25.06.\nAnswer: -1.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6\/17)*y*y*y**(-4\/3)*(y*y**(1\/18)*y*y*y)\/y*y*y\/(y\/(y**18*y*y*y)) assuming y is positive.\nAnswer: y**(7763\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.025, 5, -3, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.22068 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 445608.755?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(1088) + 1*sqrt(1088)*-3) - (-3 + (1*sqrt(17) + sqrt(17) + 5 + (sqrt(17) - (1 + sqrt(153))**2))*-4).\nAnswer: -332*sqrt(17) - 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -8. Suppose u = 3*j + 4. Is j > 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196871596 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781993 is divided by 3241.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 200316195 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55199 is divided by 12924?\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 813\/10 + -73. Let a = 524 + -518. Find the common denominator of ((-22)\/18)\/(247\/39 - a) and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**6\/10 - g**5\/20 + 7*g**4\/12 + 8577*g**2\/2 - 279*g + 3. What is the first derivative of i(v) wrt v?\nAnswer: 12*v**3 - 3*v**2 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1700549368 to the nearest integer?\nAnswer: 41238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(18)*1) + 4.\nAnswer: sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1*u)**(2\/47)*(u**(2\/9)\/u)\/(u\/(((u**(1\/3)*u)\/u)\/u))*(((u\/u**2)\/u*u*u)\/(u*u**(-1\/2)))\/(u**(-3)\/(u*u*u**(-1\/7)*u*u)) assuming u is positive.\nAnswer: u**(23927\/5922)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34480, 137886, 310226, 551500?\n\"Answer: 34467*h**2 + 5*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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 -55*v = -56*v + 4*b + 565, 3*b = 2*v - 1155. What is the smallest common multiple of v and 33?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6506\/(-2360) - -2) + 18\/24. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 2893 + 119827. What is u rounded to the nearest 100?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2 + 2)*(1 + 0 + 7)*(-4 + 5 + 3).\nAnswer: -64*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 875826 to the power of 1\/2, to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45209*g - 34411 wrt g.\nAnswer: 45209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 49400*s + 152522500.\nAnswer: 4*(s + 6175)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 2*q - 6*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 95303, 5, -2.3 in increasing order.\nAnswer: -2.3, 5, 95303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 times -100?\nAnswer: 13400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orr when three letters picked without replacement from {r: 3, o: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 1. Let p(d) = 2*d**3 - 34*d**2 - 10. Calculate -p(r) + 12*q(r).\nAnswer: -2*r**3 + 22*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-405))\/(1710\/(-6156)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + d**2 + 2*d**2 - 4 + 0 - 2*d**2 + 6 + (-1 + 2 + 2)*(d**2 + 0*d**2 + 3*d**2).\nAnswer: 9*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 27. Let l be a(12). Find the common denominator of l\/25 + (-674)\/140 and 67\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 72 = -3*t. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29782 = -2*m - 2*u, -3*m + 19131 + 25537 = 2*u. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -162*y - 32*y**2 + 162*y + 5*y**2 - 9*y**2 - y**2 + (2*y - 2*y - 2*y)*(-2*y - 1 + 1).\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -11 (c) 4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(-2)*2*-1. Suppose -3*m + 7 - 1 = 0, 3*m = -5*f - 19. Let j = t + f. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583592 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 39*s + 30. Let d(r) = r**2 - 29*r + 28. Let l(u) = 3*d(u) - 2*t(u). What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 1:12 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and -1.29.\nAnswer: -0.3483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3449*o - 5*o**3 - 3449*o.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523 = 84*j + 65 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3210, 6721, 10232, 13743?\n\"Answer: 3511*u - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -43 - (-2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 5*c**3\/6 + 22*c. Let n(i) = -3*i + 47*i**2 + 3*i - 45*i**2. Give u(n(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 14230104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 3. Suppose -21 = 4*q + 3. Give p(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145 - -146. Let f be (99\/(-264))\/(3\/(-4)). Which is the closest to y? (a) 1\/5 (b) -0.2 (c) -0.3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*h**2 + 3\/2*h + 0 = 0. What is h?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114.867 - 0.133. Let y = -94.3 - w. Round y to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285023 is divided by 877?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*n - 3*s, -17 = -s - 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c*c*c\/c**(-6)*c*c*c)))\/((c*c\/(c\/(((c*c*c**(-2\/15))\/c)\/c)*c))\/c*c))\/(c**(-1\/3))**(5\/2) assuming c is positive.\nAnswer: c**(419\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 16. Let s = 181 + -181. Determine u(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1 - 2*j + 0*j + 0*j - j + j**3. Let l be r(2). Differentiate 0*u**l - 3 - 2*u**3 + 4 wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(-2*sqrt(5929) + sqrt(5929)) + sqrt(5929))\/((-2*sqrt(252) - sqrt(252)) + sqrt(1008)*2))**2.\nAnswer: 4235\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -7*q - 34. Let t = 5 + -2. Let a(n) = t + n - 5*n - 2*n. Give a(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, f: 6, d: 1, v: 1, k: 6}. Give prob of sequence lvk.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 12. Let g = -25 - -25. Put j, 1\/7, -4, g in increasing order.\nAnswer: -4, g, 1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, -1\/2, 0.1, 1556, -2, 3?\nAnswer: 1556","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(243) + sqrt(243)*3))**2 - ((sqrt(9)\/(sqrt(12)\/sqrt(4)))**2 + -4)) + -2.\nAnswer: 3887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-10 - -2)) + (1 - -1) + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + 10*u**2 + 5*u - 8. Calculate o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1505, 3003, 4501, 5999, 7497?\nAnswer: 8995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 12*c**2 + 11*c - 54. Determine o(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/11 - 2*t**2 - 119*t\/11 + 3468\/11 = 0.\nAnswer: -12, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3789, -3848, -3905, -3960?\n\"Answer: t**2 - 62*t - 3728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 72 = -6. Let n be ((-3)\/(-21) + 0)\/(3\/d). What is the nearest to -0.1 in 0.4, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 5*m - 15 + 33 - 15 + 0*m.\nAnswer: -7*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3712*k + 89157. Calculate l(24).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 8:11 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32142 and 121.\nAnswer: 353562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 672 = -111*y + 16*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/190 + (1 + 3 - 1443\/65)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 87*y + 367. Let o be t(4). Solve -o*h + 6 = 3*d, 0 = 2*d - 4*h + 32 - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 8904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -879352*k - 1758697. Determine z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*f = -56943, 3*f - 103185 = -5*z + 181458. What are the prime factors of z?\nAnswer: 3, 7, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10358 + 5b?\nAnswer: -102b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*t - 79*t + 1870. What is the highest common divisor of 77 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.202 times 2?\nAnswer: -82.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 33\/6)*6. Let u(t) = 4*t + 1. Let b be u(5). Suppose -5*s = -9 - b. Solve -f*x = -x - s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 17 - 10. Suppose -a + 204 = 5*a. What is the remainder when a is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -3\/7 (b) 5 (c) 7 (d) -2 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 + -103?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522 + 88 = -78*s + 34 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 16954 - 11012 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 1 j when three letters picked without replacement from {q: 1, m: 3, w: 1, h: 3, j: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l - 126. Let b(k) = 22*k + 293. Let q(g) = 3*b(g) + 7*r(g). Let a(w) = 3*w + 3. Give -7*a(z) - 6*q(z).\nAnswer: 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 38*p + 896. Determine f(-24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3488 - 12*w**2 + 3488.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*x = 24, 2*r = -2*r - 3*x + 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1115 divided by -5.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 5*s - 6257 = -12*y, -3*y - 2*s = -9402. What is the highest common divisor of y and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2352 divided by 24\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus -16092.01?\nAnswer: 16080.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.4 + -11.373. Let o = -0.373 - p. Which is the closest to -0.1? (a) -3 (b) o (c) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/20 + v**4\/2 - v**3\/6 - v**2\/2 - 4*v. Let l be q(-6). Find the third derivative of -5 - 2*w**4 - 4*w**2 + l wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/199332198 and 101\/195?\nAnswer: 996660990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 850*i = 859*i - 65952. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -749105.42 and -3111.\nAnswer: -752216.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2473196 and 7084?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 96. Calculate t(-31).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**5 + 8690*b**4\/3 + 116842*b**3 + 673234*b**2 + 1288016*b\/3 - 129944 = 0. What is b?\nAnswer: -439, -37, -6, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10045 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 314 + -325. Let t be 2\/l + (-42977)\/(-121). Calculate the greatest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 164*q**2 + 1068*q + 509. Calculate x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, n: 2}. Give prob of picking 2 b and 1 n.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.3. Suppose -6*l = -3*l + 81. Let i be 2 - (l\/15)\/(-1). What is the nearest to v in 0, -2, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 23*o + 28. Give a(17).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -39 (b) 0 (c) 5 (d) 1 (e) -1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 4 - 45\/(-18) - 91732\/(-8). What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 5. Suppose 12 - 4 = 4*x, -4*x - 1 = -3*b. Suppose 5*p = -3*n + 23, -b*p - n = -5 - 8. What is s(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9, -6*x - 2104 = -5*v - 3*x. Suppose -2*m - i = -409, -2*m - i + 2*i + v = 0. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(900)*1).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14916.7*0.1848\nAnswer: 2756.60616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 55125.\nAnswer: 220500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-3 + 2 - -1). Suppose d = -4*x + 44, 0*d + i*x - 47 = -d. Calculate the highest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10798 by -2.\nAnswer: -5399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -6. Suppose 0 = -23*n + 41 + 5. Suppose n*f = r*f - 121. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/2 (b) -228 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = 22. Let v = y - 8. Calculate the remainder when 19 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 - 9.7. Let v = q + 4.300014. Round v to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -45, -1, 8 in descending order.\nAnswer: 15, 8, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Suppose 8 = 3*u - 1. Let s(j) = u*j**2 - 3*j**2 + 0*j**2 + 5*j**2. Give s(a(w)).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12290*x**3 - 7*x**2 - 14*x + 19187. Let b(g) = 6149*g**3 - 3*g**2 - 6*g + 9594. Let c(f) = 7*b(f) - 3*h(f). Differentiate c(k) with respect to k.\nAnswer: 18519*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.9 (b) 1\/428089 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11289 and 19239?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7b19 (base 12) to base 10\nAnswer: -13701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p. Suppose p = -4*i - i + 5. Differentiate i + 1 - 4*z**3 - 9 + 2*z**3 with respect to z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.6 - 10.4. What is the third smallest value in 1\/2, n, -1\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19\/((-12)\/14 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2498453?\nAnswer: 2498453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 670041398 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27162567.\nAnswer: 3, 1006021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15879907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 87+84015\nAnswer: 84102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = 25. Let o(d) = d**3 - 5*d**2 + 4*d + 7. What is the remainder when o(m) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70453306 + -5?\nAnswer: 70453301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 7*k + 7. Let l be r(3). Let c = -34 + l. What is the lowest common multiple of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.425009 rounded to two decimal places?\nAnswer: 47.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-187*k**4 + 1294*k**4 + 1789*k**4) to m*k + d*k**2 + p + y*k**4 + f*k**3 and give y.\nAnswer: -2896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 235 = -3*y, 4*y + w - 312 = -3*w. Let q = -98 + 194. Let c = 116 - q. Calculate the remainder when y is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3718, 3756, 3856, 4048, 4362, 4828?\nAnswer: 5476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h**3 - 276774*h**2 - 34587*h + 51894 = 0. What is h?\nAnswer: -5766, -1\/2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (200\/6)\/(((-8)\/(-5772))\/(-2)). What is h rounded to the nearest 1000?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 2.1. Let y = -1974\/31 + 132452\/2821. Let t = y + 116\/7. What is the nearest to -0.1 in t, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/105*15\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 57, 47, 43, 51, 77?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-17 + 10 + 17 + -9 + -10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-4 + 3 - (80 + -65)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2815.953 to the nearest 10.\nAnswer: -2820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -144, -348, -734, -1362, -2292, -3584?\n\"Answer: -10*u**3 - u**2 - 9*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 427*t = -430*t + 21, 2*j + 4 = 4*t for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 2. Let q(p) = -3*p + 9. Let d(o) = 5*i(o) - q(o). Determine d(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/839382 and -41\/2223228.\nAnswer: 82259436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 0.2 (b) -1 (c) 2\/33 (d) -4 (e) -3475\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 0.034604, -2\/19?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1691794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 1 + -9 + 3. Let d be -4*7\/(-6 + 20). Sort d, 0, o in descending order.\nAnswer: 0, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/22)\/s**(-16\/7)*((s*s*s**(-1\/34))\/s*s)**(-8\/9) assuming s is positive.\nAnswer: s**(13655\/23562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) - sqrt(405) - (4 + sqrt(180)))**2.\nAnswer: 60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/20 - 189\/315)*-142. Solve 35*s = i - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-4)\/6) + -1. Suppose t = 11*g - 2*g + 45. Let j(a) = -7*a - 4. Let v(u) = 1 - 8*u + 0 - 6. Give g*j(n) + 4*v(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) 1\/3 (b) 247\/8 (c) 1566\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/4 + 107*f**3 - 34347*f**2\/2 + 2*f + 81. Factor y(c).\nAnswer: -3*(c - 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*z - 4*z. Suppose -v - z = -4*v. Solve -5*p = -v*w + 30, 5 = 2*p + 2*w + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.048 in 0.4, -7, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 207729 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66 - 83 - 19535\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-22)\/(-44))\/(1\/(-42038)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 + 13*y - 31. Suppose -2*c + 2 = -4*h, 4*c - 5*h - 13 = 3*c. List the prime factors of b(c).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.6. Let j = 849.7 - 57.7. Let r = -791.97 + j. What is the fourth smallest value in 1, -4, r, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -297934051*y**2 - 42154733*y.\nAnswer: -595868102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + f?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Suppose -4*p + 20 = -2*l, -3*p = -p + l - 2. Let z(d) = -2*d + p*d - 3*d. Give z(b(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913 is divided by 525.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-24)*21\/35. What is the biggest value in 0.3, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1131 - 463. Suppose -16 = -664*l + x*l. Let c = 2 + -1.98. Put c, -0.2, -2, l in ascending order.\nAnswer: l, -2, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2266 + 9553. Suppose 0*o = 7*o - p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 454 and 18387.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1 (c) -2050\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1936*w**3 - 567*w**2 wrt w.\nAnswer: 11616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -627502 - -87?\nAnswer: -627404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 61572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 170*h**2 - 2*h + 2. What are the prime factors of s(1)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1825762*y**4 + 5829648.\nAnswer: -7303048*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -2, 4*r + 17 = 3*v + 2*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -76*q + 3 + 149*q - 72*q. Let w be l(3). Suppose 0 = 2*v - w + 8. Which is bigger: v or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-51.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**46\/u*u\/(u*(u\/(u*u**(-4\/5)))\/u) assuming u is positive.\nAnswer: u**(226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -63*b**3 - 199*b**2 + 40*b - 19. Let w(u) = 20*u**3 + 67*u**2 - 14*u + 6. Determine 6*p(c) + 19*w(c).\nAnswer: 2*c**3 + 79*c**2 - 26*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -143\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let y(f) = -151*f - 1514. Let w(p) = -43*p - 503. Let j(d) = -7*w(d) + 2*y(d). Calculate r(j(b)).\nAnswer: b - 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(((c**(2\/13)\/c)\/c)\/c))\/(c*c**(7\/3)*c))\/(((c\/(c*c**(-17)))\/c*c*c)\/c*c*c\/(c*c*c**27)))**(-40) assuming c is positive.\nAnswer: c**(-14840\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 727757501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 416 - -324608?\nAnswer: 325024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 131.\nAnswer: 10742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let z(o) = o - 4. Let c(y) = y**2 - 4*y - 4. Let p be c(6). Let s be z(p). Solve -3*u - s - 8 = k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 45 = -4*c. What is the hundreds digit of c*((1 - -1)\/2 + 55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, -1, -2\/11, -0.5, -1\/6 in ascending order.\nAnswer: -1, -0.5, -2\/11, -1\/6, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69012.93 micrometers to nanometers.\nAnswer: 69012930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -14. Let y be (9\/15)\/(1\/t). Suppose 2*n = 2*z - 54, y*n + 47 = 4*z - 58. Calculate the highest common factor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4 + 21640*x**3 - 86577*x**2 - 21640*x + 86576 = 0.\nAnswer: -21644, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 3\/2*h**4 + 2\/3*h**3 + 0*h**2 - h - 45. Differentiate c(i) with respect to i.\nAnswer: 18*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111 (base 4) in base 16?\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/3 + 3368*f**3\/3 + 1395398*f**2\/3 - 5703416*f + 17232360 = 0. What is f?\nAnswer: -881, -815, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1333552*o + 9758816?\nAnswer: 1333552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:26 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -512802*c**2 + 8827419 wrt c?\nAnswer: -1025604*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 264 and -0.2.\nAnswer: 263.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 12, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36.969, 0.4, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(1088))**2 + 1 + sqrt(425) + 2.\nAnswer: 5*sqrt(17) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 11750857?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44545696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = 6*h - m - 7, -4*m = -3*h + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70.22 + 980.197.\nAnswer: 1050.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 759.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12250 or -1923375\/157?\nAnswer: -12250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10706 + 276*k**2 - 21407 + 10701.\nAnswer: 276*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) 2 (c) 0 (d) -0.3 (e) 18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 11*v**2 - v - 9. Let q be (-1230)\/110 - 8\/(-44). Calculate l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-18) - (-98 - -53)\/(-810)*(-1114)\/(-1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 458*a - 460*a. Is 0 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-72)\/88 - (-2)\/(-11))*-2. Let y be (-5 - -2)\/(42\/(-4)). Which is the nearest to j? (a) -2 (b) y (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1126*n - 1127*n + 4. Solve -y = 0, 11 = -n*j + 3*y - 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 2, w: 2, v: 2, g: 1, b: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.25 + -0.79. Round b to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030902 rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -20204*r - 25. Let a(j) = -11688018*j - 14460. Give 5*a(t) - 2892*v(t).\nAnswer: -10122*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jegg when four letters picked without replacement from eggjgce?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 3*b - 6. Let u be v(-5). Let y(n) = n**2 + 6*n + 6. Let c be y(-6). Solve -u*q = -c - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/23100 and 181\/3893400?\nAnswer: 42827400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783795 is divided by 130536?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 3. Let n(b) = -10*b - 3. Let c be n(-2). Let j = c + -4. Calculate the remainder when j is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 32*n + 51 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0228314955 take away -3?\nAnswer: -0.0228314955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-720)\/144)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/6669 - 9978407\/533520. Let w be (-89)\/(-240) - 2\/6. Let p = h + w. What is the common denominator of -13 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12408 = -5*j, 1196 = j + 9*s - 1261. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8823.02 - -8823. Which is smaller: 191 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**3\/3 - j**2\/2 - 1. Let l(b) = -6*b**2 + 5*b. Let k(z) = -4*z**3 - 2*z**2 + 1. Let c be k(1). Calculate c*u(x) - l(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429 + 24. Let l = n + -300. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - z - 18 = -5*z, 5*i - 5*z = 105. Solve -i = 5*w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-80)*(-88)\/(-42)*189\/231?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqeceffktketf. Give prob of sequence ekfk.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273092?\nAnswer: 2, 67, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**5 - x**3 + x**2 - 2*x - 1. Let y(h) = 8*h**5 - 2*h**4 + 12*h**3 - 4*h**2 - 40*h + 6. Let v(l) = 10*k(l) - y(l). Determine q so that v(q) = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2596 + 51857\/20. Find the common denominator of n and 37\/198.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*146\/(-12)*(-2874)\/10059.\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99862787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u + 6 - u - u + 0*u. Let r be j(-2). Suppose 2*k - 7 = s, -k - 3*k = 2*s - 18. Sort r, k, 1 in decreasing order.\nAnswer: k, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1313*y - 1964*y = 1706*y - 28284 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9446.94 micrometers in millimeters?\nAnswer: 9.44694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.19479047.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Solve -t + 0*t + 4 = 2*p, -5*p = a*t - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a + a)*(4*a + 2*a + 0*a) - 2*a**2 + 0*a**2 - 6*a**2.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -8. Let f = -5 + d. Let l be (-2)\/f + (-60)\/(-27). Let c(s) = 3*s**2 - s. What is c(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05606 times -5?\nAnswer: 0.2803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013309 to 4 dps.\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 2. Let x be z(-4). Let m be ((-1)\/x)\/((-5)\/(-30)). Let i be (-3)\/4 + 30\/8. Does i = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 87 = -4*x - 0*x. Solve -d = -y - 2, x = -2*y - 0*d + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {u: 5, o: 4, e: 4, v: 2, g: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 3*q - 1. Let p = 13 - 15. Let o(s) = -8*s**2 - 13*s + 4. What is p*o(f) - 9*j(f)?\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 64*w**3 - 1597*w**2 - 1660*w.\nAnswer: w*(w - 20)*(w + 1)*(w + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5)*(-10)\/12)\/((-100)\/(-80))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.92 + 0.08. Let n = c + -27.039. What is n rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**2 + 5*u. Let g(r) be the first derivative of 5*r**3\/3 + 3*r**2\/2 + 8. Let q(y) = y - 1. Let h be q(-2). Calculate h*i(w) + 5*g(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.875 + -8.125. Put 3\/5, c, 4\/5, -0.02 in descending order.\nAnswer: 4\/5, 3\/5, -0.02, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -57*k**2 + 22254 - 22254. Let y(m) = 2*m**2. Give w(y(h)).\nAnswer: -228*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.39, -3\/2, -3\/14, -1.2, 0.4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184470 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 108\/28)\/((-2)\/(-112)). Let r = q + -39. Let d(b) = -2*b + 14. Let c be d(r). Let j(g) = -g + 3. Calculate j(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = -11. Suppose v*w + 22 = 22. Suppose -4*d + w*d + 5*g = 12, g + 4 = 4*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*j**3 - 7 - 23*j**3 + 14*j**3 - 41 to y*j**3 + u + q*j**2 + v*j and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Let t(g) = 13*g + j*g - 4*g. Calculate the remainder when t(2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i - 1. Let z(s) = 2*s**2 + 46*s - 2. Let f be z(-23). Let r = 5 - 3. Let v be r\/2*(-4 + 4) + f. Give u(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = -5. Let x be (-2)\/h - (-62)\/5. Suppose 3*t + 5*j - 12 = t, -j + x = 2*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 8 - 3 + 5*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 6*g**3 + 3*g**3)*(1 + 4 - 6) - g**3 - 3*g**2 + 3*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 860\/6 - 13\/39. Suppose 4*r = -c + n, -r + 2*c = r - 64. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -38 + 7 + -6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3491 (base 14) in base 3?\nAnswer: -110112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140346 divided by 5.\nAnswer: 140346\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 10. Let u be q(-5). Solve 5*d - w + 13 = -u*w, w = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -3) + 1 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*w - 15, -3*w - 4*h + 12 = -3. Suppose -5 + 35 = -w*x. What is the common denominator of x\/16*(-1356)\/81 and -109\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*v + 20, -k + 3*k - 4*v = 16. Let g(z) = -z + 1055. Is g(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*v - 5 = 23, 3*v = -4*j - 43. Is (9897 - -1 - j)*2\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14333532 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 16) to base 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68 + 614?\nAnswer: 67c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -1)\/((-10)\/(-2)). Sort -2, 0.3, x in decreasing order.\nAnswer: 0.3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4119, -16293, -36523, -64809, -101151, -145549, -198003?\n\"Answer: -4028*a**2 - 90*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 791 and 166223.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527 = -82*h + 989 - 532 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a**3 - 1. Suppose 6 = 2*f - 5*f, 5*s - 3*f - 1 = 0. Determine g(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234321465 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c**2 + 34*c - 26. Determine z(8).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -323 - -316. Let f(q) = -2*q - 8. Determine f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 53, -91, -2, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Suppose 4*h - x*m = 36, -5 + 15 = -h - 4*m. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*((sqrt(252) - (sqrt(252) - (2*sqrt(252) + 3))) + 1 + sqrt(252) + 2) + 3))**2.\nAnswer: 75600*sqrt(7) + 918225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 355 and 2405977?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**2\/2 + 164. Let h(v) = 4*v - 3. Let u(l) = l. Let a(z) = h(z) - 3*u(z). Let t(w) = -a(w) - 3*i(w). What is t(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 23c5?\nAnswer: 23cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-2))\/(2\/4). Let l be 39\/r*-1 - 3. Let t = -17.8 - -18. Which is the nearest to -2\/7? (a) t (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:24 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or -165?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24042\/(-35624) + 6\/8. Let r = j - 5\/61. Let v = r - 283\/1314. Which is the third smallest value? (a) 0 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9793*p**2 + 2*p - 5001 wrt p?\nAnswer: 19586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(10) - (sqrt(160) + -3*sqrt(160))) + sqrt(160)\/sqrt(4))\/(4*3*sqrt(2) - (sqrt(14)\/sqrt(112) - sqrt(2))))**2.\nAnswer: 38720\/2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52203851 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 690269274?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 9. Let f be x(-7). Let v be 446\/34 + f\/17. Let p(a) = 2*a**2 - 3*a**2 + v - 13. Let h(q) = -18*q. What is h(p(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9032485 by -809.\nAnswer: 11165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394373 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 11*q + 16. Let x be d(11). Let a be (-12 + 0)*(-4)\/x. Suppose -4*i - 2*g = -18, a*i - 3*g - 21 = 6. 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 hundred thousands digit of 76968596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.91 - 0.09. Let o = -77 + 19. Let r = -58.5 - o. What is the nearest to -1 in p, r, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(504\/(-24))*(-3)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3\/8 (b) 2\/13 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57372, -57374, -57390, -57426, -57488, -57582?\n\"Answer: -n**3 - n**2 + 8*n - 57378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 2 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29813.\nAnswer: 7, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 = 4*m, -5*m = -2*x - x + 5. Let s(c) = -3*c**m + 5*c + 2*c**2 + 3*c - 4*c - 4. Give s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2052480 divided by 3\nAnswer: 684160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/174206384?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o\/o**(1\/25))**(-4\/3) assuming o is positive.\nAnswer: o**(604\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -58*b**3 - 22*b**2 + 357. What is the second derivative of m(a) wrt a?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/36 + w**3\/9 + w**2\/2 + 4*w. Let v(d) = 0. Calculate d.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13208, -52831, -118870, -211325, -330196?\n\"Answer: -13208*v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 54, -10, 0, -46 in increasing order.\nAnswer: -46, -10, -3, 0, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*i - 3*i**3 + i**3 - 1164*i + i**3 - 147*i + 1443*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 10) in base 12?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*r - 11*r - 2*v - 40, -12 = -r + v for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-315)*14\/10.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 = 11. Find the second derivative of 6*n**3 - w*n + 5*n - 12*n wrt n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -46. What is the third derivative of 9*l**m + 1132 + 17*l**6 - 1132 wrt l?\nAnswer: 2040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 - -362. What is the greatest common divisor of 42 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = -4, -5*d = 4*r + 569. Let y = r + 274. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -255, -1, 1, 2, -4 in descending order.\nAnswer: 2, 1, -1, -4, -5, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 2, j: 1, t: 1, x: 1, c: 2}. What is prob of sequence jcdc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/((-2)\/(-42)*-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 78 + (-32 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 1, a: 1, m: 2, u: 1, j: 1}. Give prob of sequence mu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*((sqrt(68)*-2 - sqrt(68)) + sqrt(68)) - -4*(sqrt(68) + -2)))**2.\nAnswer: -320*sqrt(17) + 6864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66 or -73?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 2. Let x(r) = -r + 3. Let n(d) = -3*i(d) - 4*x(d). Let f(m) = -1 + 2 + 0 - 2. Calculate -6*f(q) + n(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 972051.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*y, 4*g - 6*y + 24 = -10*y for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {e: 1, s: 2, j: 3, d: 6, q: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 25*z - 55. Calculate the lowest common multiple of 3 and x(41).\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 58 = -47*a. Sort -5, a, -90 in increasing order.\nAnswer: -90, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = 0, -10 + 38 = -5*c - 3*w. Let s(j) = -5 + 0*j**2 + j**2 - 3*j + 2*j + 0*j. Is s(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/743 and -53\/17047392.\nAnswer: 17047392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**8\/84 - w**5\/30 + w**4\/8 - w**3\/3 + 9*w**2 + 2. Find the second derivative of y(p) wrt p.\nAnswer: 80*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k**3 - 5*k**2 + k + 6. Calculate the remainder when 635 is divided by l(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38179489 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 135*n**2 + 3*n + 4. Let p(q) = -177*q**2 - 4*q - 5. Let t(c) = -4*o(c) - 3*p(c). Let h(j) = -63*j**2. Calculate t(h(x)).\nAnswer: -35721*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*q. Suppose 4*h = q*h + 18. What is the greatest common factor of 72 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107020356 divided by -10123\nAnswer: 10572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -b + 2*a, -b + 0 = 5*a + 1. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 1:10 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(630\/(-24))*294\/196?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:21 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746391, -1492782, -2239173?\nAnswer: -2985564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - d - d - 11 = 0, 3*a + 2*d = 1. Let y be 9\/a + (-6)\/1. Let w be (-1)\/5 - 38\/10. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -24 + 54 - 7*x - 26. Let d be 8 - (-3)\/(-9)*12. Calculate t(d).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c59a6 (base 13) to base 8.\nAnswer: -4140350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + 4*q**2 - 4. Let r(w) = -4*w**3 + 5*w**2 - 5. Suppose -4*v + 384 = 368. Give v*r(m) - 5*h(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 33*z - 29 - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 9 + -104 + 102\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3045 - -2983. Which is bigger: a or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242 + 4?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c + 15. Let l be s(11). Suppose 4*g = -4*j + g + 113, -5*j + 4*g = -l. What is the derivative of -169*i**3 - j + 85*i**3 + 88*i**3 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 r when three letters picked without replacement from {t: 4, c: 1, r: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113147 (base 8) in base 9?\nAnswer: 507362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12078 and -43\/42900?\nAnswer: 7850700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98364 and 475426?\nAnswer: 2852556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83071 = 5*l - 4*a + 83088, 6*a = 2*l - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 1. Let m = -5.7 - i. Let n = -4935\/8 + 617. Which is the second smallest value? (a) -5 (b) n (c) m (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -638 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7154 by -511.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -2.1. Let k = b - 3.7. What is the smallest value in 5, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 7. Let n(s) = 5*s - 3*s - s. Let a(v) = -b(v) - 3*n(v). Suppose -11 - 13 = 4*h. Determine a(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 408. Let t be (-1 - -1)*(-3)\/(-6). Suppose 4*x + 0*x - c = t. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(12\/9)*-2. Suppose 46 = -2*w + p*w - 2*f, -4*w + 188 = -4*f. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**2 + 394*q - 256. Let l be z(65). Solve -3*d + 24 = -l*t + 32, 0 = -d - t + 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b - 1. Let v(s) = s**3 + 6*s**2 - 6*s + 7. Let i(a) = a - 2. Let z be i(3). Let u(f) = z*v(f) + 6*y(f). Differentiate u(n) with respect to n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18946 - 18944. Let h(n) = n**3 + 6*n**2 + n + 8. Let b be h(-6). Solve -5*g + 4*x = b, -2*x = 3*g - q*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 23*z**2 - 20 - 17*z**2 - 25.\nAnswer: -2*z**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 - 82. Suppose -7*w + 1256 = -j. What are the prime factors of w?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Solve 4*s = -p*v + 4, -3 = -3*v - 0*s - 2*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/29, -7, -6\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 67*m + 7. Calculate the smallest common multiple of ((-8)\/10)\/(-1 - 129\/(-130)) and p(-21).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 < 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from krryy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6 - -1)\/((-8)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-44) + (-1456)\/22. Let d = q - -86. Solve f - d = 6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888183621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9070?\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*c**5 - 2\/3*c**4 + 1\/3 - 5\/6*c + 1\/3*c**2 + 2\/3*c**3.\nAnswer: (c - 2)*(c - 1)**3*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3*(-9)\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16873 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049515 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m = 52*m - 1025113 - 3069528. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20299578?\nAnswer: 2, 3, 13, 97, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y**3 - 226*y**2 + 2*y. Let z(q) = -30*q**3 - 678*q**2 + 5*q. Determine 8*h(x) - 3*z(x).\nAnswer: 2*x**3 + 226*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -93.2853?\nAnswer: 186.5706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-10\/7)*g**(5\/7)*((g*(g\/g**(2\/13))\/g)\/g)**(22\/3))**(-1\/2) assuming g is positive.\nAnswer: g**(115\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460795, 3686577, 12442297, 29492923, 57603423, 99538765, 158063917, 235943847?\nAnswer: 335943523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/18 and 77\/172?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202001200 (base 3) to base 16.\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4617\/755 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 7*j - 12. Calculate the remainder when 45 is divided by h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1081\/1351614?\nAnswer: 1081\/1351614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*s**2 + 31*s**2 + 24*s**2 + 27*s**2 + 19*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0859*-0.5\nAnswer: 0.04295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3730 + 3741. Solve -c - a = 2*g, 4*g - 8*g + 3 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9956 + 9956.1. Which is the fourth biggest value? (a) h (b) -0.5 (c) 0.19 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73246 and -0.8?\nAnswer: 73245.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -24, -3, -1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6090\/77 + (-2)\/22. What is the highest common factor of 1027 and m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 7. Let a(n) = -684*n**2. Give a(o(h)).\nAnswer: -2736*h**2 - 19152*h - 33516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 64.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93951\/16 + -5874. Calculate the common denominator of -103\/234 and n.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 60 = 8*k. Let l(m) = -3*m + 6. Calculate l(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 164.79, -8\/33, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/(((10\/1)\/(-5))\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = -5*b, -13 - 2 = -5*b. Let y = 3 + v. Suppose 0 = -y*u - 5*z + 83, z + 0*z + 77 = 2*u. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 12:04 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*2\/(-4)*12\/21. Solve -3 - b = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -466*v**5 - 87*v wrt v?\nAnswer: -9320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -961527.362 to the nearest one hundred.\nAnswer: -961500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.5, -0.12, 1\/7, -136?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2446795.\nAnswer: 5, 13, 37643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -8. Suppose 8 = 8*r - 3*r + 4*q, r = -2*q - 2. Let o = 6 - r. Sort 3, o, s in increasing order.\nAnswer: s, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y - 3*y + 0*y + 1 - 7*y**2 + (0 + 0 - 3*y)*(3*y - 2*y + y).\nAnswer: -13*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*(-59)\/(-531)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 17a43?\nAnswer: 17a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 473 + -417. Calculate the greatest common divisor of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1 - 12) + 34 - (-1 + 8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c (base 15) to base 7.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 806 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19892 - -38603. Is 77 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065516497?\nAnswer: 3, 11, 479, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/28 - (-6)\/21. Suppose 0 = 4*v + 3*g + 25, 2*v - 19 = 3*v + 5*g. Let i be (v - l)*3\/66. Does 1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.055 in -18\/145, -0.2, -4?\nAnswer: -18\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69 or -73?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -201 + 102341?\nAnswer: 102140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x + 5. Suppose -5 = -5*p + 5*u, u = 5*p + 3*u + 23. Let h(b) = b**3 + 3*b**2 + 1. Let y be h(p). Let i(r) = r + 1. What is y*t(f) - 3*i(f)?\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -220, -228, -242, -262, -288, -320?\n\"Answer: -3*t**2 + t - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 85000 and 2.\nAnswer: 85002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.506116ml to litres.\nAnswer: 0.006506116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5338, -5265, -5178, -5071, -4938, -4773, -4570, -4323?\nAnswer: -4026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 1)**2 - sqrt(275) - sqrt(176).\nAnswer: sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7663 (base 10) in base 12?\nAnswer: 4527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/333 (b) -2644 (c) -2\/13 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.1 (c) 4 (d) 2 (e) -3 (f) -2.5349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 23 - 37. Let n = 426 - 406. Calculate the least common multiple of n and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 84700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:22 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 36. Let b = s - -24.6. Sort b, -0.04, -2\/3 in increasing order.\nAnswer: -2\/3, b, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*g - 14, 2*t - g + 10 - 12 = 0. Solve -t*u = r - 2 - 4, -2*u - 5*r = -22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -904664*v**4 + 96*v**2 + 2*v + 187?\nAnswer: -21711936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13038 - 6722. What are the prime factors of s?\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -228.99999944 + 229. Round p to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 7530\/360 - 32.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/(-3))\/(1774\/2661). Solve -c + j - 19 = -4*u, -c - 2 = -3*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*r + 7*r - 14*r + (0 + 0 + 2*r)*(1 + 2 - 1).\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 18 - 59 = -3*r, 0 = 5*r - 3*h - 127. Solve -15*m = r*m + 41 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -245*k**3 - 4*k**2 - 174?\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 11. Let u(f) = 9*f**3 + f**2. Let z be u(-1). What are the prime factors of p(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6616525 millennia to years.\nAnswer: 661.6525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2553*m**5 + m**3 + 2*m**2 - 1087*m - 1 wrt m.\nAnswer: 153180*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3443 = -3*l, 5*p + 188*l - 192*l = 3444. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 3221 + 683 = -72. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + -2 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47\/8 - 6. Let i = 3.928 + -0.928. Which is the biggest value? (a) 2 (b) i (c) 0.2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3251 = -181*o - 550 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(1 + 10 + 13838*s - 13786*s) + 2*s + 0 + 0 - 2.\nAnswer: 54*s + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27778\/989 - 2\/23. Suppose s*m - 1127 = 861. What is the remainder when 138 is divided by m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846*u - 11751 - 17859 = 0 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 18. Let n(w) = -w**3 - 17 + 2*w**3 - 2*w**3 + 3*w**3 + 12. Let h(f) = 2*f**3 - 6. Calculate b*n(d) - 2*h(d).\nAnswer: 2*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40.3 and -0.5?\nAnswer: 20.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.426 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3435141.15s?\nAnswer: 5.679796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154777 is divided by 51587?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:07 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 2. Let c(p) be the second derivative of -2*p**3\/3 - p**2 + 14*p. Let j be c(-2). What is r(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26982020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 81*q + 558. Give h(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-2\/15))\/o)\/o*o*o**(3\/11)\/o*o**(-13)*o\/o**(-1\/9) assuming o is positive.\nAnswer: o**(-5816\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*z + z + 14 = 0, 4*z + 22 = -n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:46 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6756743 millennia?\nAnswer: 6.756743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17\/5, 4.6, -0.3?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, y: 2, j: 1, f: 4, n: 6}. What is prob of sequence jww?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*(p*p**(-3\/2))\/p))*p\/p**(-7))\/((p\/(p*p**(-1))*p)\/p*p\/(p\/(p**(-3\/8)*p)*p*p)) assuming p is positive.\nAnswer: p**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = -j, y + 4*j + 0*j = 23. Solve -4*r - r = 3*q + 21, y*r = -3*q - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*f + 10, 5*f - 722*a + 30 = -720*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3.33 (c) 1\/2 (d) -0.3 (e) -1\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 132.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5437 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**0))\/(c\/(c*c\/((c*c*c*c\/(c\/((c*c**1*c)\/c*c)))\/c))))\/(c**(-1\/5)*c\/c**5))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*g - 125*g - 302*g + 56*g - 139*g to c*g + o and give c.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 33 = 83 + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37643 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-80)\/(-12) - 2). Let b = g - -18. Suppose -j + 5*h = -6215, -j - b*h = -3*h - 6197. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131\/4 + 33. Let y = 78.23 + -78. Which is greater: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105936.\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*h = -v + 15, v - 15 = 4*h. Suppose 81*f = 84*f - v. Suppose -f*j + 1336 = 3*j. What are the prime factors of j?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 7*t**2 + 6*t + 3. Let v = 33 - 28. Suppose -2*b = 2*a - 14, 4 = 3*a - v*b - 9. What is m(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((78\/(-637))\/(15\/(-210)))\/((-66)\/63).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14648558?\nAnswer: 2, 1979, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.352 + 7.97. What is x rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*f - 6, -6*t = -4*f - 2*t + 12. Let s(l) = -l**3 + 7*l**2 - 1. What is s(f)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1481870 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:54 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/112 and (3 - 2) + -7 + (-1351)\/(-140)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2. Let g(s) = 420*s + 5907. Let b be g(-14). Let f(d) be the second derivative of 0*d**3 - b*d + 0*d**2 + 0 - 1\/3*d**4. What is f(m(k))?\nAnswer: -196*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3 + 6.7. Let a = h + -10.0061. What is a rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q - 7*q = -46*q - 59*q + 1407 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -49*r**3 - 2*r**2 + 1. Give w(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 7363434.\nAnswer: 14726868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 5223443 and 5223467 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 8381*v**4 - 30974*v**3 - 9948*v**2 - 1000*v - 32 = 0?\nAnswer: -2\/17, -2\/29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*z = -9*z - 4, 0 = 2*z + 8. Suppose -4*j + 3*j = -3*a + 11, -5*j = 4*a + 55. Let f = x - j. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4672808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37\/155 - 1469\/310. What is the closest to 0 in 2, -1\/5, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5 - 101898*b**4 - 509534*b**3 - 305742*b**2 + 917172*b = 0?\nAnswer: -3, 0, 1, 50954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130*p + 43*p - 51*p)*(2 - p**2 - 2).\nAnswer: -122*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20 + -1 + 3\/(-3). Suppose -13*u = -y*u + 45. Solve -4*x - u + 29 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 2, c: 12}. Give prob of picking 3 n.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/252 - 61*t**5\/105 - 2183*t**4\/84 + 5476*t**3\/63 - 9*t**2 + 69*t - 1. Let d(v) = 0. Calculate v.\nAnswer: -37, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -402 + 403. Suppose -5*i + 5*w - 10 = 0, -5*w - 3 - u = 2*i. Which is the nearest to 2\/7? (a) i (b) -3 (c) -7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653173?\nAnswer: 3, 17, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62688 divided by -4.\nAnswer: 15672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78972 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as 78\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let p be 1 - (1 + q) - 0. Let z = p - -4. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 940 + -864. What is the remainder when 251 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgtl when four letters picked without replacement from sglhlggtgslssstlclgg.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 101, 362, 795, 1400, 2177?\n\"Answer: 86*g**2 + 3*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 18 - 10 = 0. Let g be (r - 1) + (13 - 13). Factor 0*f + g*f**2 - 15\/2*f**3 + 0.\nAnswer: -3*f**2*(5*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:47 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 230, 238, 248, 260, 274, 290?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*z = a + 4, 5*a - 5*z = 20. Suppose 2*n = 67 - a. Suppose -4*m + 16 = -n. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.168836 greater than or equal to -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -9 + 3, -f = 4*b - 16. Solve -25 = f*z + z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 - 21*u**2 + 1 - 1.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(125) + -4)**2 - (0 + sqrt(405) + sqrt(80)\/sqrt(4))*3.\nAnswer: 7*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 27*i**3 - 19*i**2 + 5*i + 137. What is the ten thousands digit of x(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(176) + sqrt(176))*4 + 0)**2 + (-4*(sqrt(176) + 0 + sqrt(176) + -4))**2)*4.\nAnswer: -6144*sqrt(11) + 91392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -2*g + 7*h, -5*h - 53 = 30*g - 29*g + h for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 399*k - 1596. Let v be x(4). Solve 5*g - 56 + 46 = v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(2))\/sqrt(11) + 2 + sqrt(108) + 5)**2.\nAnswer: 98*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 25. Let a(u) = u + 7. Let f be a(-8). Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 25*d - 29*d + 77*d to g*d + i and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43660 rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - m + 9. Give d(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 88. Let h(d) = 2*d - 34. Let x be h(w). Calculate the remainder when 75 is divided by 108\/45*x\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5647 rounded to 1 decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/12 and 29\/144298596?\nAnswer: 144298596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 59 - k**3 - 5*k**3 + 53 + 3.\nAnswer: -6*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 290250 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/23)*d**12)\/(((d**(-2\/21)\/d)\/d*d)\/d**(3\/5)) assuming d is positive.\nAnswer: d**(33179\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98\/9*y**3 - 8\/9 + 16\/3*y - 14\/3*y**2.\nAnswer: -2*(y + 1)*(7*y - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r. Let v(b) = -290*b. Determine v(l(h)).\nAnswer: 870*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171136 divided by 896.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -i + 10, 15*u - 13*u + 2*i - 12 = 0. Is 2\/7 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 452517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35 from 13639152910.\nAnswer: 13639152875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/sqrt(3) + sqrt(20))*6)\/(-2*sqrt(490)) + 1 + 3 + (sqrt(2) - (sqrt(32) + -4)))**2*-2.\nAnswer: -9188\/49 + 864*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 5 = 5*c. Let a(o) = 5*o - 9. Let q(k) = k. Let d(j) = -a(j) + 6*q(j). Let v be d(c). Solve -v*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 - 1*(3 - 5). Calculate the highest common factor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.35510535 rounded to 4 decimal places?\nAnswer: -12.3551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**3 - 14420*l**2 + 333855*l - 1308150 = 0.\nAnswer: -2907, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/5 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/12 and 17\/257898.\nAnswer: 515796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 37 = -2*v. Let y(w) = w - 6. Let q be y(15). What is the highest common factor of q and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 13. Let y = -2 - j. Suppose -1 = y*f - 39. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 28 = 3*w - 4*u, 0 = 3*w - u - 21. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 8*z + 12. Let u be b(-4). What are the prime factors of 486\/(-3 - -1)*(u + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1. Let u be (-2)\/12 + (-80)\/96. Let o(s) = 5 + s - s + s. Calculate u*o(v) - 3*g(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**15*v*(v**(2\/13)\/v)\/v)**(1\/5) assuming v is positive.\nAnswer: v**(184\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/7 + 4006*u\/7 + 16056\/7 = 0.\nAnswer: -4, 2007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 0) + 1473 + -1460.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3 + 9 = -4*u, -3*u = -3*c + 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000542252979 to seven dps.\nAnswer: -0.0005423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t. Let x(f) = 38060451*f. Calculate x(z(j)).\nAnswer: 342544059*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**2 - 2 - 25*h**2 + 10*h**2 as z + r*h + s*h**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**4 - 13065*v**3 - 57002*v**2 wrt v?\nAnswer: -24*v - 78390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24964 and 4?\nAnswer: 24964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/(-12)*(-1684)\/(-421).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -65*p**4\/4 + 29*p - 7. Let m(n) = 9*n**2. Calculate b(m(w)).\nAnswer: -15795*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 95*g - 4. Let z be k(0). Which is the closest to -3\/2? (a) 17 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 >= -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 730613837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3*z**6\/5 - 28*z**5\/5 - 161*z**4\/5 + 8*z**3\/15 + 313*z**2\/5 + 132*z\/5 - 98. Solve j(n) = 0.\nAnswer: -3, -1, -2\/9, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2132\/984*21\/(-1274).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 35*g - 51. Let s be a(-19). Solve -s*n + 4*i = -n + 40, 0 = -4*i + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*u = -22, -3*w - 3*u + 7 - 46 = 0. Suppose -2*c = 2*c - 5*a + 4155, 2077 = -2*c + 3*a. Let o = c - -1024. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*r - 56934 = -191*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12939 is divided by 671.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1290517, -1290529, -1290543, -1290559, -1290577?\nAnswer: -1290597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11447478*a**3*n**2 - 14*a**2*n**2 - 51*a**2*n + 15*a*n**2 - 27 wrt a?\nAnswer: -68684868*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 18*u**3 + 2 + 1.\nAnswer: 18*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 20744*g - 82950. What is c(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11816, 11827, 11860, 11927, 12040, 12211, 12452, 12775?\n\"Answer: 2*t**3 - t**2 + 11815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*y**3 + 62*a**2 + 12*a*y**3 - 2*a*y**2 wrt a.\nAnswer: -4*y**3 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 115 = 2*y + y, 4*y = 3*b + 154. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*m**3 + 8*m**2 - 6*m wrt m?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 3) in base 4?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b*i*t**3 + 15*b*i*t**2 - b*i*t + 55*b*i + 5*i with respect to t.\nAnswer: 27*b*i*t**2 + 30*b*i*t - b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, c: 7}. What is prob of picking 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3380 + 10141\/3. Factor -p*y + 2 - 1\/3*y**2.\nAnswer: -(y - 2)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3759890 + 54?\nAnswer: 3759944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -810823015775?\nAnswer: 810823015780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Let b be (3\/3*f)\/1. Let t be 1*(1 - (b + 2)). Solve a = -t - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.595 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010079288 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 4 + (sqrt(175) + 2)**2 - sqrt(49)\/(sqrt(7)*-1*2)) + -1.\nAnswer: 51*sqrt(7)\/2 + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7088 and 34554.\nAnswer: 276432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*l - 4 + 9 - 5 + 53*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 46*y + 252. Let x be o(-6). Let t(i) = 2*i + 50. Let s be t(x). Determine q, given that 0*q + 0 + 2\/13*q**4 - 8\/13*q**3 + 8\/13*q**s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*q**3 - 93*q**3 + 0*q**2 - q**2.\nAnswer: 7*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtw when four letters picked without replacement from {j: 2, m: 7, w: 5, v: 1, t: 3, s: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 8*k. Let o be w(8). Suppose -s + 3*c - 4*c + 2466 = 0, o = -2*s - 3*c + 4935. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 3. Suppose -g + 7*r - 4*r = 9, 3*r = 9. Let n be k(g). Let v be (-73)\/n - 6\/18. What is the highest common factor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355508429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - s**2 - 1 - 8*s)*(-s**2 - 3*s**2 + 3*s**2).\nAnswer: s**4 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258.737 - 110.828. Let o = 148 - g. Let r = 4.091 - o. What is the third smallest value in r, -4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 20, -5*j = 4*a - 3 - 25. Suppose -4*h = -3*u - 1256, -3*h + 393 + 549 = a*u. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 32120130203?\nAnswer: -32120130200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 12:20 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:18 AM?\nAnswer: 157","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 102 + 22 = 0. Let o(i) = i**2 + 70*i - 128. Let w be o(2). Is r less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - 74\/3219*402\/(-4) and -37\/116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224*u = -1214*u + 110 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 70.5.\nAnswer: 66.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 4, 0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/(24\/32). Is 13 a factor of t\/9 + 980\/36 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.342 + 0.1. Let t = -14 - -14.35. Let m = p + t. Round m to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/3, -564, 0.1, -3\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 695, 2806, 6333, 11288, 17683?\n\"Answer: 2*f**3 + 696*f**2 + 9*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.161 - 6.839. Which is the closest to 2\/7? (a) 5 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/252 + (-1)\/(-9). Which is the biggest value? (a) 6\/7 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -24\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2 + 72*f - 167. Determine o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425 (base 11) in base 2?\nAnswer: 11100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -9*g**3 - 1. Let i(h) be the first derivative of -3*h**2\/2 - 274. Calculate i(p(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*f = -30, -3*x - 7*f + 31 = -2*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-12)\/(-9)) - 4. Let q = 9 + r. Suppose 4*j - q*y - 12 = 0, -2*j + 3*y = j - 12. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 3, y: 10, x: 1}. What is prob of sequence xyz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2619 and 1593?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*k - x, -2*x + 5 = -1383*k + 1382*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30370?\nAnswer: 2, 5, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -5\/6*w**4 + 0*w + 12*w**2 + 0 - 1\/4*w**5 + 1\/42*w**7 + 1\/12*w**6 + 10\/3*w**3. Factor p(g).\nAnswer: 5*(g - 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**3 + x**2 - 3*x + 28. Let z(l) = -2*l**3 - l**2 + l - 14. What is 4*j(c) + 7*z(c)?\nAnswer: 2*c**3 - 3*c**2 - 5*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13331, 26658, 39995, 53348, 66723, 80126, 93563, 107040?\n\"Answer: r**3 - r**2 + 13323*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 9, 2*y - m - 4 = -3. What is the common denominator of (5\/63)\/(6\/(-36) - y) and ((-2)\/(-24))\/((-2)\/(-428))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**4 - t**3 - 7*t**4 - 2*t**2 + 3*t + 3*t**2 - t to the form c + j*t**2 + x*t**3 + h*t**4 + s*t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 270*n. Let s(y) = -2*y**2 + 15*y. Give s(g(x)).\nAnswer: -145800*x**2 + 4050*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 52*t + 217. Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l**2 - 19*l**2 + 9*l**2. Let f(a) be the third derivative of a**4\/24 + a**2. What is p(f(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) + -6*sqrt(1323)*-1 + sqrt(1323) + -2 - (0 + sqrt(1323) + -1 + 0 + sqrt(1323) + sqrt(1323) + 1))**2.\nAnswer: -420*sqrt(3) + 33079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 248 = -400. Let m(q) = -q**3 - 24*q**2 - 21*q + 46. Let w be m(-23). Solve w*h = 6*h + d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = 0. Let i(v) = 1 - 3 + a + 3*v + 0. Let f be i(4). Solve 2*x = -3*x - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:06 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and -88\/555?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8125672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85368880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.72 * 300.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 2*t**5\/5 - t**3 - 3*t. What is the second derivative of x(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 44 + 8 = 0. Let g be 2\/11 - (l\/(-22))\/(-3). Let s(t) = t**2 - 1. Let k be s(-2). Sort g, -8, k in descending order.\nAnswer: k, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*y**2 + 60*y**2 + 18*y**2 + 296*y**2 in the form g*y + n*y**2 + x and give n.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 - -1662\/13. Let p = -0.06 + 0.09. Let b = p + -0.43. What is the third biggest value in 5, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -166*m**5 + 52*m**5 + 81*m**5 + (-35 + 35 + 23*m)*(m**3 - m**3 + 2*m**4)*(-1 + 1 + 1).\nAnswer: 13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8207478187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 35, 73, 113, 155, 199, 245?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times -0.163?\nAnswer: 6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z**4 - 3 + 8*z**2 + 8*z**4 - 2 + 3 in the form b + l*z**3 + c*z**4 + j*z**2 + s*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 998931 - -5?\nAnswer: 998936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 315008.26 to the nearest one hundred.\nAnswer: 315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/5*3\/24. Which is the closest to 1? (a) h (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5180760 and 303264.\nAnswer: 62169120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/18*(-9)\/42.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + b91976?\nAnswer: b91981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320*f**5 + 331*f**5 + 6*f - 41*f wrt f.\nAnswer: 220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.13323 and -0.4.\nAnswer: -0.53323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 38 - 37 + 84 - i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 m when three letters picked without replacement from {m: 2, z: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30306 (base 11) to base 6\nAnswer: -541020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-13 - -1 - (-13 - 4)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a = -8. Suppose -4 - a = -b. Does 11 divide (-219)\/(-6) + 3\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 669050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -60343.59 to the nearest 100.\nAnswer: -60300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2 + 0*r - 5 + r**3 - 207 + r + 0*r**3 + 21*r**2 wrt r?\nAnswer: 6*r + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*o**2 - o - 134 wrt o.\nAnswer: -74*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/6)*k**0)\/(k**(-1\/3))**(2\/53) assuming k is positive.\nAnswer: k**(269\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33*l**2 + 5*l + 2. Let h(p) = 33*p**2 + 6*p + 2. Determine -4*d(y) + 3*h(y).\nAnswer: -33*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((31 + 5)\/(-4))\/(-3). Let g be 3 + -6 + z*2. Solve -5*x + 2*x = -g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:29 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2587715 and 7995?\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 52 + -1 - (-2385)\/159. Solve -2*c + 62 = s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {r: 2, u: 6, s: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 14*r**2 - 55*r - 4509. What is m(-22)?\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 7744 = 7768. Put 1, d, 24 in decreasing order.\nAnswer: 24, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10655\/936 - -118\/117. What is the common denominator of d and 37\/451?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 - 6*y\/7 + 5\/7.\nAnswer: (y - 5)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727642?\nAnswer: 2, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/35672467 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 + (-477)\/(-18). Calculate the greatest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = y - 3*g, -y + 180 = -0*y + 2*g. Suppose 3*i - 6 = 0, 3*o + 4*i = 47 - 0. Let f = y + o. Calculate the remainder when f is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3884 - 93*y**2 + y**3 + 15*y - 70*y + 24*y + 17*y + 25*y wrt y.\nAnswer: 3*y**2 - 186*y + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + -140 + -5)\/(0 + -1). Suppose -r = -4*p - 154. Is p less than or equal to 4\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 54822584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h + 106 - 3*h**2 - 2*h**2 + 5*h**2 - 7*h**2.\nAnswer: -7*h**2 - 12*h + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**2 - 60848352*j - 231407621319744 = 0.\nAnswer: -7606044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3207 + 4175?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + k + 1 = 32, 3*k = 3*t + 21. Let a be (-60080001)\/8 + t\/(-64). What is a rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2 + 64*g + 2. Let w(a) = -19*a. Let x(m) = 115*m. Let l(q) = -6*w(q) - x(q). What is j(l(v))?\nAnswer: 4*v**2 - 64*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(10\/(-15))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1 - 336*r + 0 + 339*r - 2. Suppose u + 7 - 9 = 2*t, 5*t + 20 = -5*u. Calculate j(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -426 (b) -3 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 2 + 4 + -40 - (-8 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(10*t**2 + t**2 - 10*t**2).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + p - 3*p + 155, -3*p = 3*h - 153. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, 4397 in descending order.\nAnswer: 4397, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 46, -9 in descending order.\nAnswer: 46, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 5*k + 48, -281*k + 278*k + 36 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6278797, 12557595, 18836393, 25115191?\n\"Answer: 6278798*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 26 = -6*h, 2*a + 9311*h - 9308*h + 11 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 410, 305, 220, 161, 134, 145, 200?\n\"Answer: p**3 + 4*p**2 - 124*p + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91770896 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 682*r**2 - 8*r. Let u(v) = 454*v**2 - 5*v. What is -5*h(y) + 8*u(y)?\nAnswer: 222*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 2\/15*v**3 - 1\/5*v**2 + 0*v - 2. Factor d(q).\nAnswer: 2*q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*o - 51*o + 448 + 114*o + 327.\nAnswer: -5*o + 775","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -22*w. Let j(o) be the second derivative of -o**3\/3 + 18*o. Calculate k(j(u)).\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 314676 and 244748.\nAnswer: 2202732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 156248 (b) 5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 992878 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-29268)\/(-216339))*(-2)\/(-8). Let z = -9\/4336 - v. What is the common denominator of z and 4*6\/(-60) + (-22)\/45?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, p: 2, q: 1, s: 5, h: 3, y: 1}. Give prob of sequence gp.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:09 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2462, 0.3, 2, 0.113?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 86.3. Which is the smallest value? (a) r (b) -1 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629161 is divided by 541844?\nAnswer: 3629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*r**4 + r**2 - 17*r**2 - 44*r**4 + r**2 wrt r?\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(18992 - 115*t**2 - t**3 - 18989 + 2*t**3)*(1 + 11 - 1 + (1 - 5 + 5)*(-1 - 1 + 4)) as z*t + b*t**3 + h*t**2 + w and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7815370 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (200\/(-12))\/((-150)\/(-180))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 35*y + 16. Let i be z(-9). Let v be (-24)\/i*-21*(12 - 10). What is the highest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -186517860214 and -636.\nAnswer: -186517860850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 472281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/511060 and -27\/5704.\nAnswer: 31685720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 4:10 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:00 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:57 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + 1 + (-4 - -1). Let n be 4 - 3*4\/h. Suppose -4*d + n = -3*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**3 - 4*a**3 + 0*a**3)*(-54 + 167*a + 54) as h*a**4 + f + p*a**2 + x*a**3 + c*a and give h.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 622 - 295. Sort 3, p, 2.\nAnswer: 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 24. Let f(j) = 2*j + 4. Let g be f(k). Suppose -29 = -d - m - 4*m, 4*d = -2*m + 26. Do d and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-15)\/(-20)*1\/3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4*y + 5 = 0. Let i = y - -7. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26a4474 (base 11) to base 3\nAnswer: 22202211200120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -96, -153?\n\"Answer: -57*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*y - 386, 5*y + 82 = c - 3. Calculate the highest common factor of 57 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + sqrt(77)*-3*-4 + sqrt(77)))\/(sqrt(700) - (sqrt(315)\/sqrt(5))\/sqrt(9)).\nAnswer: -14*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 531258 - 104625. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 6*i**2 - 7*i + 3. Let p(l) = -23*l - 2. Let y(d) = -11*d - 1. Let q(k) = 2*p(k) - 5*y(k). Let o be q(1). Let s = -5 + o. Calculate v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/6 + 79\/78. Let i be ((-5)\/10)\/((-2)\/(-128)). Let c = i + 32. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*l + 18 = 127*l. Let h(a) = 2*a + 3. Let s(j) = -5*j - 5. Let n(o) = 9*h(o) + 4*s(o). Let y(w) = -2*w + 6. Give l*y(u) - 5*n(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = -3*t, -x - 13 + 0 = 4*t. Let i = 9 + -9.1. What is the nearest to i in 1\/5, 1, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000110001011010 (base 2) to base 6.\nAnswer: 11443214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526\/4 - (-7)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from jjwwiwljiijiwjji.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-6)*(-30)\/20. Suppose 3*q - 6*i = -w*i + 12, 4*q + 3*i = 16. Let u(j) = j - 1. Let n be u(4). Solve -1 = q*z + n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64675069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7468573.\nAnswer: 7, 29, 36791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 34. Let u = 40.7 - 82.3. Let l = u + q. Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -3 + (-18)\/(-2). Let f = 2 - q. What is the tens digit of (-72)\/(-14)*(-28)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.749944 + 0.7635. What is u rounded to four dps?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2738 in 3\/4, 3093, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 4:39 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9322*j**3 + 1433*j**3 + 16 - 3 - 13 + 10357*j**2 wrt j?\nAnswer: -47334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 3. Let p(f) = -8*f + 58. Let s be p(8). What are the prime factors of j(s)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6425 by -1285.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 591, 912, 1221, 1524?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*s**5 - 3*s**4 - 691*s**3 + 869676*s wrt s.\nAnswer: -700*s**3 - 36*s**2 - 4146*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 10. Let v be g(5). Suppose -i + 1 + 0 = -f, 3 = v*f - 3*i. Suppose z + 23 = -f*p - 12, 23 = -2*p - z. Which is greater: p or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*t - k - 110, 2623 = 3*t + 4*k + 2591 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 3*u + 3*u)*(-33*u - 33*u + 25*u) + 0*u**2 - 2*u**4 + 0*u**2.\nAnswer: -84*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from qqmmmsqqq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:37 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6984*s - 13726*s - 3 + 6932*s + 0 + 0 + 2*s - s - 3*s + 3*s + (1 + s - 1)*(5 - 4 + 1) to h*s + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*l**2 - 187*l**2 - 8*l**3 + 6*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose w*q - 3 = -p, -q - 3*p = -5*p + 11. Let b = -166\/3 + 56. Is b smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*g**3 + 3*g**4 - 17*g + 2*g**2 - 11*g**3 - 6*g**2 - 2 - 6*g**3 as l*g**3 + u*g**4 + x*g**2 + o*g + b and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/26, -5, 0.01?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + n + 5)*(n - 2*n + 0*n)*(-3*n**2 - 1 + 1) to the form v*n**2 + x + f*n**3 + s*n**4 + h*n and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34\/10 - (14\/10 + -1) and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1458\/31995)\/(162\/90)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10340.61 to the nearest 100.\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91456 and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1685 + 1746 - 6748 + 3*d.\nAnswer: 3*d - 3317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4247 (base 9) in base 6?\nAnswer: -22241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 1 - 37*g.\nAnswer: -37*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1178.89.\nAnswer: 4715.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 - 7551*u**4 + 22663*u**3 + 7551*u**2 - 22662*u = 0. What is u?\nAnswer: -7554, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1441691050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993326587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/9 (b) 102 (c) 3 (d) 309 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 740*n - 8. Let i(b) = -376660*b + 4070. Let d(j) = -4*i(j) - 2035*x(j). Let t(v) = -v. Determine d(t(s)).\nAnswer: -740*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - 0) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 1935*q + 18 + 1637*q + 12.\nAnswer: 3572*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y + 6. Let q be x(6). Let j be 12*(1\/3 + q). Let p be 14\/6 + j\/(-12). Which is the third smallest value? (a) 0 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 + 24 = 0. Suppose -5*a - 4*i + 0*i - 38 = 0, 5*i - f = -a. What is the units digit of (-2 - -3)*a\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 - 12444*t**2 - 1668813*t + 1681254 = 0. What is t?\nAnswer: -131, 1, 4278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**10\/m**(3\/4))**(-1\/3))**39 assuming m is positive.\nAnswer: m**(-481\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 13*z + 14*z + 109995, 0 = 2*w - 5*z - 54975. Round w to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -36*c**2 + 2979*c + 15793. What is l(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*f + 10, -4*o + 4*f + 20 = -2*o. Suppose -l + 7 = -o*l - 2*c, -28 = -4*l - 3*c. What is the remainder when 20 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8 - (-13 + 6)) + -13 - -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52.2 in -1073, -0.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-232)\/(-29)*(-819)\/756?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 29*d**3 - 12*d + 11. Let k be h(1). Calculate the greatest common factor of k and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 - 0.5. Let s = -0.23 - j. Which is the third smallest value? (a) s (b) -3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19*l - 8. Let f(g) = -7*g - 3. Let i(t) = -8*f(t) + 3*s(t). Let m(n) = -66*n. Determine m(i(h)).\nAnswer: 66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2404 divided by 1202.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 3*p + 39855*p**2 - 990*p**2 + 28438*p**2.\nAnswer: 67303*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v = 228. Let b = v - 41. Suppose 0*s - 5*s - 3*w = b, -15 = -5*w. Sort 4, s, -3.\nAnswer: s, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 0, -2*i - 2*b + 250 = 2*b. Suppose o + 3 = -14. Let y = o + 42. Calculate the highest common divisor of i and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 143623.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -3*a**2 + 116*a + 1. Let y(q) = 4*q - 77. Let b(r) = -8*y(r) - 5*z(r). Is b(0) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 11*g**4\/8 - 19*g**3\/6 - 5*g**2\/2 + 43*g. Let q(j) be the first derivative of k(j). What is the units digit of q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**5 + 6211*y**3 - 25017*y**2?\nAnswer: -180*y**2 + 37266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2 + 4*z - 1. Give w(6).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 + -4) - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2115*h**2 + 3*h - 3*h.\nAnswer: 2115*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -154 + 154 - 114*u in the form q + y*u and give y.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.47952 times -2\nAnswer: -4.95904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let u = -1.1 + c. Let v be (0 + -1)*61\/305. What is the nearest to 0 in -1, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -394 bigger than -409332\/1039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*l**2 + 14*l**2 - 1 - 3*l**3 + l + 9*l**3 - 8*l**3 as w*l + j*l**2 + z + g*l**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.03 (c) 2\/7 (d) -4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4, p: 2, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -d8f1c0 (base 16) to base 4\nAnswer: -312033013000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.3 - -6.2. Let d = 6197.1152 - 6193. Let t = d + o. Round t to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.7 + 12. Let q be 0*(10 + (-133)\/14). Sort q, f, -5, 2\/9 in decreasing order.\nAnswer: f, 2\/9, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 + 9*j + 17. Let z(s) = -2*s - 4 + 4 - s**2 + 0*s**2 - 4. Suppose -2*v + 2 = -2. Give v*d(t) + 9*z(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2 - ((-66)\/18 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 128?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -12. Let n be (-32)\/(-128) - (-1149)\/(-4). Is 10\/d*(n - -13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmhiqqmmim. What is prob of sequence iqmi?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/3*y + 135*y**3 + 60*y**2 + 0.\nAnswer: 5*y*(9*y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/17572 and 103\/5014.\nAnswer: 1915348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-1 + -1 - 0). Suppose -25 - 10 = -t*d. Let u = 3 + d. Calculate the least common multiple of 1 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 74*t - 209. Calculate v(21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1182, -1181, -1180, -1179, -1178, -1177?\n\"Answer: a - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-739)\/((-1471349)\/(-1086)))\/((-16)\/(-22)))\/((-9)\/(-28))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -274131430.1 to the nearest one hundred thousand.\nAnswer: -274100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*z**2 + 21*z**2 + 23*z**2 + (-2*z + 2 - 2)*(0*z + z - 3*z) as h*z**2 + p*z + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18650253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 1:32 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1824 - 919. Let s = g - 462. List the prime factors of s.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.809 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 296477873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 136*t - 164*t. Solve 2*j - 2*z = 0, 0 = -4*j + 2*z - 3 + t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.2. Let f = l + -0.1. Let g = -67.4 + 68. Sort -0.2, f, g in increasing order.\nAnswer: -0.2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from odoooteooooot?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.96 times 872284?\nAnswer: -1709676.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56331 or 32323?\nAnswer: 56331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 3) to base 13\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19043, 3, 9.\nAnswer: 3, 9, 19043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 5744.66?\nAnswer: -5743.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00126975625 take away 0.103?\nAnswer: 0.89826975625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - -28. Suppose 9*t - r - 154 = 0. What is the smallest common multiple of 4 and t?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oggkkomkkjjmcm. Give prob of sequence okmj.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**7\/4200 + z**6\/600 + z**5\/200 + z**4\/24 + 3*z**2. Let x(u) be the second derivative of q(u). Solve x(m) = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(696\/112 + -6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -314\/163 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(136)*-2*4 - sqrt(136))*1)\/((6*sqrt(96)\/sqrt(3))\/(-2*sqrt(8)\/sqrt(2))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 3. Suppose -a + 2*a = n. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27442382 divided by -74.\nAnswer: 370843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*c - 8 = 0, -12*k + c + 30 = -17*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkqotto. Give prob of sequence tk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -132. Suppose 2*c - 11 = -5*y, -7*c - 17 = -6*c - 5*y. What is the nearest to c in 0, -3\/5, u, -0.03?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.31171\nAnswer: 0.093513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((9 - 4 - 9 - -7) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 4*r**2 + 4*r - 3. Let c be n(-5). Suppose z - 1 = -3*k, c*z - 5*k + 7 = 3*z. Let j be (4 - 7) + z\/(-1). Solve -j = -0*f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 41 = 3*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3506 + 3490 + -20 + -2 + -1\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -985, -1010, -1073, -1192, -1385, -1670, -2065?\nAnswer: -2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 o, and 1 l when three letters picked without replacement from {d: 5, k: 2, l: 1, o: 8}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 47*x**2 + 49*x**2 - 5*x**4 + 6*x**4 - x to s*x + r*x**2 + f*x**3 + k*x**4 + p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1656179*c**2 + 6*c + 40266162 wrt c?\nAnswer: -3312358*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46022*c**2 - 5*c + 6850?\nAnswer: -92044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/24 - (-5)\/3. Suppose 4*p - q*p = 1340347. Suppose 5*b - p + 7240347 = k, 4*k = -2*b + 23600000. What is k rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as -83104\/263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53225889 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 6. Let d be 9\/(-54) - 3\/2. Which is the closest to -0.1? (a) f (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v - 135. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-4))\/((-1)\/(-8020)). Let q = g + 16015. Round q to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187428?\nAnswer: 2, 11, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 4*v + 3*v)*(-11*v + 6*v - 421 + v + 0*v) as b + i*v + x*v**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/10)\/((-12)\/8). Let v = 3.9483 + 0.0517. Which is the closest to -0.2? (a) o (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/6*(-1 - (2 + -1)). Let y(h) = h**3 - 13*h**2 + 20*h + 27. Is y(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 2*c**2 + 0*c - 1\/30*c**5 - 19\/24*c**4 + 0 - 1\/180*c**6 + 0*c**3. Let t(r) be the second derivative of i(r). Give t(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 88, 6\/2815, 3?\nAnswer: 6\/2815","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + a - 14. Let q be y(-7). Suppose q = 4*b + 2*r, 8 = b - 3*r - 20. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -5\/6 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5702592 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) - 3829\/(-14). Let s(z) = 5*z - 5. Let g be s(6). What is the greatest common factor of g and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3923*m - 812. Does 13 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341, 346, 355, 368, 385?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -21*d**3 + 6*d**2 - 4*d - 6. Let j(r) = -r**2 + r + 1. Determine 6*j(x) + n(x).\nAnswer: -21*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i + 80. Let z be g(16). Suppose z = -0*d + 24*d - d. Let f = -12 + 7. Which is the nearest to -0.1? (a) d (b) 3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14657 - 14649. Let a(r) = r**3 - 9*r**2 + 7. Let c be a(9). Solve -3*p = -3*l - 2*p + c, -2*l - p = -u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w + 37*w - 2*w**3 - 19*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0240212 * 646.\nAnswer: -15.5176952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-10)*(-1790)\/(-42244).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -505 and -501 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 508 + 13667 = 0. Suppose 12828 = 4*d - 4*t, -388 = -d + 5*t + c. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*(13\/(-195))\/((-6)\/(-36)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-3) - (-1 - 1). Suppose -q + 0*q + 6 = d, w = 5*q + 15. Suppose 0 = 4*j - 3*j + r - d, -5*r + 33 = 2*j. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 933435132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Suppose y + 2*y - 48 = f. What is the remainder when y is divided by 45\/6*(-12)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -3. Let r be (j\/(-2))\/((-54)\/(-8)). Let n = 528\/5 + -106. What is the second smallest value in n, -2, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7695, 15326, 22923, 30474, 37967?\n\"Answer: -2*q**3 - 5*q**2 + 7660*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b + 2. Let s(v) = v**2 + 3*v + 2. Let p be s(-3). What are the prime factors of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87586 - 0.1?\nAnswer: -87586.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1200321001 (base 4) to base 5\nAnswer: 100144430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.1997588 months?\nAnswer: 0.0999799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/(-15))\/(6\/10). Let r(u) = 41*u**2 - 26*u**2 + 45*u**2 - 5*u**a. Let y(x) = -x**2. Give r(y(g)).\nAnswer: 55*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*12\/(-468))\/1*(-3)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12892782 + -1?\nAnswer: 12892781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8258684.\nAnswer: 2, 7, 294953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v - 14946 - 6210 = -25*v. Is 253 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 180 in -74\/7, 0.33, 4, 0, 0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521025459.\nAnswer: 3, 173675153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 214.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 4549b?\nAnswer: -45499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4204809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 297997) + 14 + -20. What is x rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igkdiiegiiggi. Give prob of sequence gedk.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 337535 divided by -1\nAnswer: -337535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txt when three letters picked without replacement from {t: 5, x: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*1)\/(-2)*1. Calculate the remainder when 36 is divided by ((-3)\/6)\/(z\/114).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5316163 to the nearest integer?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46759\/3 - -15587. Which is the third biggest value? (a) -0.6 (b) -2\/177 (c) -3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 24 = 5*v, 4*v - 3*m = v + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/574, -0.43, -25\/3, 3, -0.2, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3905, 3896, 3871, 3824, 3749, 3640, 3491, 3296?\nAnswer: 3049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1539808*h**2*r + 2*h*r - 1551813*r wrt h.\nAnswer: -3079616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19029 + -95143\/5. Let l = -0.5 + 2.5. Suppose -14 = -5*a - 2*i, i + 25 - 2 = 5*a. What is the closest to y in l, -3\/4, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4291 is divided by 1820?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7604*-13\nAnswer: 98852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 7:13 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfbb when four letters picked without replacement from {z: 4, f: 9, b: 6}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (sqrt(396) + -1*1*sqrt(396) + sqrt(396))**2 + (3*sqrt(22)\/sqrt(2) - sqrt(11) - (4*(-1 + sqrt(11)))**2).\nAnswer: 34*sqrt(11) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 24 = -5*b, 0*b - 21 = 4*b + m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/((-4)\/(-6)). Suppose -5*p + k = 2*l - 12, 2*l - 12 = -4*p. Suppose l = -r - r + 12. Solve 2*a - 4*a - r = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2. Let b(h) = 34*h**2 - 7*h - 9. Let i(z) = -11*z**2 + 2*z + 3. Let v(k) = -2*b(k) - 7*i(k). Give l(v(w)).\nAnswer: -162*w**4 + 108*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -1\/3*k**3 + 53\/2*k**2 + 0*k - 45\/4*k**4 + 79. Find the third derivative of j(o) wrt o.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80\/301 + 141\/602. What is the nearest to h in -5, -0.18, -2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - g + 10 + (-4 + 3 - 1)*(g + 5*g - 4*g) + 3 - 3 - 2*g + 0*g + g - 4*g)*(-2 + 2 + g) + (g - 2*g - g)*(-4 + 4 - 3*g) - 3*g**2 - g**2 + 0*g - 2*g.\nAnswer: -8*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*b**2 - 80*b**2 - 119131 + 119131.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = 12, 0 = 3*s + 5*o + 14. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -4 + -155 - (39 + 3)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79956, 159570, 239180, 318786, 398388, 477986, 557580?\n\"Answer: -2*v**2 + 79620*v + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/14*13251\/(-1262).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1131784 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 16*y - 39. Let k be h(9). Solve -k = 6*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3}. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -125*d + 2. Let j(l) = -3879*l + 63. Let y be (-13)\/((-104)\/(-1472)) - 5. Let i(b) = y*n(b) + 6*j(b). Let h(v) = v. Determine i(h(p)).\nAnswer: 351*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**2*w**3*x + f**2*x + 29*f*w**2 + f*w*x - 5*w**3*x - 7*w**3 + 2*w wrt w?\nAnswer: 66*f**2*x - 30*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 h when three letters picked without replacement from zrhhrzhmm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*d + 991*d - 3696 = 0 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/6 + 8*m**2 + 117*m. Determine a(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -43. What is the first derivative of -g - 46*z**3 - 690*z + 690*z wrt z?\nAnswer: -138*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y = -12*y - 11250. Let i = -3073\/5 + y. Calculate the common denominator of -20\/3 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3 - 5*d**2\/2 + 10. Let w(n) = n**2 + 2*n. Let k(t) = 2*f(t) + 5*w(t). Let x(v) = -15*v**2. Give k(x(b)).\nAnswer: -225*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25880 is divided by 5176.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-3))\/(13\/39). Suppose 6*w = 2*y + 3*w - 4, -5*w = 2*y + 28. Let j be ((-2)\/(-1))\/(-1) + -1. Put l, y, j in increasing order.\nAnswer: l, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004061 to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*o - 18*o - 18*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008202 to 4 dps.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 1436220360*s + 103136446123926480.\nAnswer: 5*(s - 143622036)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104613252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v. Let n(j) = -j. Let l be 0 - 8\/(-36) - (-22)\/(-18). Let t be 8\/(-4) - (0\/l + -5). Let r(o) = t*a(o) + 8*n(o). Let i(m) = -3*m. Determine r(i(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61686 and 54832.\nAnswer: 493488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17521 - -31b5?\nAnswer: -1435b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -82887 divided by 321?\nAnswer: -27629\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(28)\/sqrt(4) + 0 + -3 + 1.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 326.4 times -23\nAnswer: -7507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -0.13, 1\/6, 0.9 in decreasing order.\nAnswer: 4, 0.9, 1\/6, -0.13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1851739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*o - 73*o + 66 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 39. Calculate h(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 1517*p**4\/12 + 3395*p**3\/3 - 10090*p. What is the second derivative of j(x) wrt x?\nAnswer: 3034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009918 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 8*h + 4. Let o be b(-3). Let n = 6 + o. Suppose 4*c = -4*i + 4, 2 = -c - 2. Sort i, n, 4 in increasing order.\nAnswer: n, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000 (base 3) to base 16\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-25245)\/(-10) - 3)*10\/(-15). Let u = -545 - y. List the prime factors of u.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 540, 447, 332, 183, -12?\n\"Answer: -2*u**3 + u**2 - 82*u + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 10:42 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 189*k**2\/2 - 31*k - 306. What is the first derivative of s(u) wrt u?\nAnswer: 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 363014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 6*q**2 + 3*q + 6. Let s = -379 - -371. Does 5 divide w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 divided by -639?\nAnswer: -422\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6707.92 - 6951. Let g = y - -2.08. Let w = g + 241.00000223. Round w to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4070326 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -74 + -420\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33 - (-3)\/3)*-4. Let w = h + -15. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/42*7*1\/2. Let -2\/3*f + q*f**2 + 0 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/13)*h*h\/(h*h\/h**26*h)*h*(h*h**(-24)*h)\/(h*h**(5\/2)) assuming h is positive.\nAnswer: h**(11\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:41 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5200143 - 10400300 + 5200158 + 130*k.\nAnswer: 130*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.21 times 1860?\nAnswer: 5970.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1 - 5*g + 1. Let y(o) = 2*o. Suppose 0 = -5*f - 4*a + 7, -5*a - 22 = -5*f + f. Let v(n) = f*q(n) + 7*y(n). Let c(m) = 3*m**2. Give c(v(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 304 = -4*q + 3*v, 4*q = 5*v + 268. Let l be (-207)\/(-27) + 2\/6. What is the greatest common divisor of l and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5370369108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -40*r - 12. Calculate f(-21).\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**3 - 3*h**2 - 3*h - 5. Suppose -2*u + 5*u = 0. Suppose 5*d - 28 = -3*b, u = 4*b - 2 - 2. Let g(w) = w**3 - w**2 - w - 1. What is d*g(r) - j(r)?\nAnswer: -r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041 * 4382.\nAnswer: 179.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 359.08 - 344. Let n = -45 - -61. Let a = n - r. Round a to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v. Let p = -371\/6 + 62. Let l(f) be the second derivative of -p*f**4 + 2*f + 0*f**2 + 0*f**3 + 0. What is n(l(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 16*t - 36. Let s be m(6). Solve -8 = 92*a - s*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 75. Let w be (-30 - -3)*1\/(-3). What is the remainder when m is divided by 68\/18 - (-2)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744303982 is divided by 1009.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 6*k + 7. Let d(g) = 5*g**2 + 5*g + 2. Let i(c) = -14*c**2 - 22*c - 14. Let v(m) = -3*d(m) - i(m). What is -5*f(t) + 4*v(t)?\nAnswer: t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*j**2 + 2*b**2 - 4*b*j - 3*b - 2*j**3 + 844*j**2 + j + 58 wrt j.\nAnswer: 8*b**2 - 12*j + 1688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -87\/67, 10\/9, -2\/7, 1, -1\/5, -1\/11, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4090303154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.190957l?\nAnswer: 190.957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 3. Let u = 2 + -7. Let i(n) = -4 + 5 + 3 + 0*n - 3*n. What is u*v(t) - 4*i(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.133 (b) -0.7 (c) 1\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 - 2*t + 1. Suppose 2*n = -2*n + 3*l - 5, -5*n - 4*l + 17 = 0. Let u be p(n). Let b(z) = 2*z - 2*z - z**2 - z**u. Let r(h) = 2*h. Give b(r(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -0.5, -673, -2\/7 in descending order.\nAnswer: 2\/11, -2\/7, -0.5, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3905 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 75*p - 1. Let h be a(-1). Let d be (-1577)\/h - (-3)\/12. Calculate the greatest common factor of d and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-12)*6\/(-4). Let m be (-6 - p) + 3 + 3. Solve m = -i - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3550*a**2 - 8*a - 28. Let m(y) = 332*y. What is m(h(b))?\nAnswer: 1178600*b**2 - 2656*b - 9296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1080 - -214. Let y = l + 1567. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zso when three letters picked without replacement from {o: 2, x: 1, z: 1, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50485.\nAnswer: 5, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - 186. Suppose 0 = -c*f - 6*d + 5*d + 1984, 2*f - 2*d = 1336. List the prime factors of f.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13775, -13776, -13777?\n\"Answer: -z - 13774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 - 6234*v**3 - 142016*v**2 + 953736*v + 2425696 = 0.\nAnswer: -3094, -28, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -167\/24931?\nAnswer: -167\/24931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251870 is divided by 35979.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 15483094.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(3450\/(-582)) - 240\/24) + 6*1?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 80*v - 70*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 12:08 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -344 + 1\/(-1) + 4. Let i = v - -336. Put -3, i, 15, 0 in ascending order.\nAnswer: -3, i, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -4*r**2 + 26 - 116\/3*r**3 + 0*r. Factor s(q).\nAnswer: -4*q*(29*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 458 + -322. What is the greatest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1\/190, 3\/5, 1\/26, -0.1 in descending order.\nAnswer: 9, 3\/5, 1\/26, -1\/190, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152945 = -131*k + 550*k - 46918. What is the greatest common factor of k and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8370815 + 660.3.\nAnswer: -8370154.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(0 + sqrt(475) + -1 - sqrt(475)) + 0)**2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = -21*f - 28*f + 770 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7)*(-28)\/(-240). Let t(a) be the second derivative of 0 - 1\/30*a**4 + 4*a + c*a**3 + 1\/5*a**2 - 1\/100*a**5. Find l, given that t(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 6) + 22 + (2 - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 75*o - 85*o = -9452 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -175, 3, -5, 6, 4 in descending order.\nAnswer: 6, 5, 4, 3, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6138560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65575848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89\/234 + 11\/18. Let x = 41\/65 - u. Which is smaller: x or 2\/113?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -r - y - 4 - 7, 0 = 5*r - 5*y + 70 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -464.5 in -8, -0.5, 5, 1\/4, -4\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 13 + 155*o - 157*o.\nAnswer: -2*o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 534?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 6*t + 4. Let x be z(-6). Suppose -4*h + 30 = -0*h + 2*m, h + 15 = x*m. What is the remainder when 7 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:46 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 3*v**2 - v + 3. Let s(f) = -2*f**3 - 8*f**2 - 2*f + 8. Let a(p) = 8*h(p) - 3*s(p). What is the second derivative of a(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t**2. Let d(j) = -485702*j**2. Give u(d(y)).\nAnswer: 2830877193648*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4411 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/292 or -848?\nAnswer: -1\/292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4\/9 (b) 3\/5 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 137686410 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 800038 or 799651?\nAnswer: 799651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -40. Suppose -3*a = -4*y + 261, -4*a + 2*y - 407 = -g. Let m = -49 - a. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - 103131?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589 divided by -1984.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 749694 + 62841 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {i: 2, d: 2, v: 4, q: 2, l: 3}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + r - 85, -2*c = -r + 12 - 46. Let f = -12 + c. What is the units digit of f - 4\/(-2)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157997 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h = 29*h - 9. Calculate the least common multiple of (-3 - -14)*(-3)\/h*-2 and 7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 1314.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 - 2*h - 3. Let i be q(5). Let y = i - 0. Suppose -4*z + 3*z + 6 = -3*f, z + 5*f = 38. What is the smallest common multiple of z and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 24. Let s(y) = y**3 - 15*y**2 + 14*y + 23. What is the tens digit of s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-118)\/36 - 6\/27). Let q = 0.12 - -0.08. Let y = 0.1 + -0.1. Which is the biggest value? (a) y (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5 + 3. Let i(d) = 10*d**2 - d. Let w be i(r). Suppose b = -0*b + 88. What is the highest common factor of w and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588581 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105056 and 15008?\nAnswer: 105056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, -0.3 in ascending order.\nAnswer: -1, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1751.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6035495\/11759274 + -7\/38429. Find the common denominator of 145\/306 and b.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -25*v + 429. Let g(r) = 69*r - 1288. Give -11*b(t) - 4*g(t).\nAnswer: -t + 433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/12)\/(17\/151334)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6984*m + 6988*m + p - 11, -7 = -2*m - p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*p**4 + 1281*b**3*p*w**2 - 2*b**3 - 1375*b**2*p**4*w**2 - b**2*p**2*w + 3*b**2*w**2 - b*p*w**2 - 10 wrt p?\nAnswer: 96*b**3*p - 33000*b**2*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4606 and 392.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*y - 13. Let z = 7 + -8. Which is the closest to z? (a) 4 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, 46, 301, 792, 1597, 2794, 4461, 6676?\nAnswer: 9517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136*r**2 + 2*r + 145 wrt r?\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-6)\/(-36) + 26\/(-12)). Let o = -20 - -23. Suppose -o*f + 2*i + 7073 = 0, j = 3*f + f - 3*i - 9430. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*(-u - 5*u - 1 + 5*u) - 2*u + 5*u - 5*u as l*u + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - d - 3*d = 0, -4*d = 2*x. Solve x = -5*w + 2*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, w: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769.2057 less than -135?\nAnswer: -1904.2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/18 - -2)\/(2\/(-15)). Let t = -9 - i. Let r(w) = 2*w**2 - 2. Let y(k) = k**2. Determine t*y(h) + r(h).\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75518808611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 28*s - 9. Let y(w) = w**3 + 17*w**2 + 15*w - 14. Let n be y(-16). Does 12 divide c(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-4 + 2)\/2. Suppose c = 4*b - 18 - 10. Suppose -5*p = j - 21 - 36, -24 = -p + 4*j. What is the remainder when p is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - 11 - -30) + 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Let b = 45 - 39. Let x be 43\/a + (-2)\/b. Solve -2*t = -x + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, -77, -334, -863, -1754, -3097, -4982, -7499?\n\"Answer: -15*c**3 - c**2 + 33*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/8 + 211*t - 89042 = 0.\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 3)*(-97 - b + 97) + 2*b + 2 - 2)*(29 + 2 + 11 + 33).\nAnswer: 75*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-1200)\/(-72))\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 2, -0.4, -2, 3\/4, 1\/1546?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 3, e: 1, w: 2}. What is prob of picking 2 w, 1 e, and 1 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.79.\nAnswer: 4.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3809.7 - 3810. What is the closest to h in -0.2, 33, -1\/11, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4789 divided by -239.\nAnswer: -4789\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1359450.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30954 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 10 + -2 + 6 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.52 - 5.9. Let d = -0.3716 - l. Round d to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23614212, 23614208, 23614204, 23614200, 23614196?\n\"Answer: -4*s + 23614216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/(-2)*(-20)\/(-25). Suppose -5*n = f - 25, -h - 7 = -5*f + n. Are f and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b + 2. Let w be x(1). Let u = 2 - w. Which is bigger: u or 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 893149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19311217*u**2 - 3690928*u**2 + 7089350*u**2 - 629462*u**2.\nAnswer: 22080177*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 11. Let u be o(-12). Let q be 12 + (-1 + 3)*u. Let s(j) = 4 - j**2 - q + 6. Let k(d) = 3*d**2. Calculate s(k(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6958725 rounded to two decimal places?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4176 or 6636?\nAnswer: 6636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 69. Determine s(0).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -15 + 2 + (-27 - -20)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -440, -447, -466, -503, -564, -655, -782, -951?\n\"Answer: -z**3 - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -187 + 204 - (-18 - 1) - 1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o + 38. Calculate j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 4. Suppose 0*v = z*v - 1188. Let r be (-6 - 3)*(27\/3)\/(-3). Calculate the highest common divisor of v and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5477\/15 + 365. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = -2*y - 22, 2*y = 3*h - 17. Find the second derivative of 0*j - 1 + 2*j - 8*j + 18*j**h wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.45165 and -0.01709.\nAnswer: 0.43456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 5. Let c be f(-6). Let h = 1\/12 + -41\/60. Which is bigger: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -41*y + 80 + 82. Put y, 51, 0 in descending order.\nAnswer: 51, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h + 97684 = 96010 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 229332 and 1009?\nAnswer: 231395988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3093 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3\/109 (b) 2\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3772\/94300*(-280)\/(-2)\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 62\/541, -2\/7, -0.3, -3, -5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/114192 and -103\/171288.\nAnswer: 342576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 31. Calculate c(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2696941\/19787 + 48528444607\/429081095. Let z = r + 2\/21685. Is -22 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 6 = 2*b - 9*r, 2*b + 5*r + 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 19*t**2 + 9*t + 7. Is k(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 26. Let g = r - 79. Let s = 89 + g. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4704\/(-160))\/((-35)\/25)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(2 - (2 - -2)). Suppose 4*v = -0*w - 5*w - 8, -t*w - 10 = 5*v. Let n = 5.738 + -2.338. Do w and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + w)*(3*w - 3*w - 2*w**3) + (16*w**2 + w**2 - 9*w**2)*(0*w**2 - w**2 + 0*w**2) to the form j*w**4 + d*w**2 + t + g*w**3 + c*w and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(0 + 9\/6). Let d(m) = -2*m**3 - 4*m**2 - 2*m + 1. Let w be d(l). Suppose -a + 13 = 4*a - 4*q, -a + 20 = w*q. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 3 + 2 = -m + w, 4*m + 13*w + 54 = 30*w - 43 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83462.472 + -83461.820001008. Let g = s + -0.652. What is g rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.085 * 167.\nAnswer: -348.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34952913.\nAnswer: 3, 19, 47, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 4 - -17) + (2 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -2*b - 12, -4*v = 5*b - 10 + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crkkmckmrkmkmck. Give prob of sequence kr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10519070 by 6.\nAnswer: -5259535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11413 (base 5) to base 11.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1895329693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c**2 + 8. Let k(g) = -g**2 - 1. Let d(r) = -j(r) - 8*k(r). Let a(w) = 3*w**2. Determine a(d(t)).\nAnswer: 768*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 + 2*u**2 + 4*u + 34. Let s(m) = -m**3 + m**2 + m. Let z = -14 - -15. Let q(d) = z*t(d) - 3*s(d). What is the units digit of q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 692*j - 3028. Let d be n(5). Calculate the greatest common factor of d and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9.3. Let p = -0.29952 - x. Round p to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l + 15 = 0. Let f(k) = 2*k**2 + 8*k + 4. Let i = -667 + 671. Calculate the least common multiple of f(l) and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/8 of a century?\nAnswer: 7650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513274?\nAnswer: 2, 271, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 24040178*w**4\/5 - 45195506904*w**3\/5 + 21241849137128*w**2\/5 + 4901502912*w + 1413760 = 0.\nAnswer: -2\/3467, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.4 - 139.4. Let i = -936.2 + 809. Let f = x - i. What is f rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11910*w**3 + 23804*w**2 + 11878*w - 16 = 0. What is w?\nAnswer: -1, 8\/5955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 23 - 29 - 2*j + 2*j - 2*j. Determine v(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + (-26)\/(-4). Let c be 240\/2*(-40)\/50*-1. Suppose c - 112 = -4*a. Solve j - a = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1064*f + 48. Let a be m(-6). Let g = 11417 - a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10826788 and 1148?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 636*y. Let k(i) = -636*i. Give 5*k(c) + 6*l(c).\nAnswer: 636*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c**1\/c)*c)\/c)*c*c)**44\/((c**(-4)\/c)\/c**(-1\/4)))\/(((c**(5\/2)\/c)\/c**7)\/(c\/(c**4\/c)*c\/((c\/(c**(-6)*c))\/c*c))) assuming c is positive.\nAnswer: c**(365\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 24\/5, 8, 29?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90515506 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/8)\/(9\/102). Suppose 4*p - m = 3. What is the remainder when p is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**2 + 211322086*k + 11164256007847849 = 0.\nAnswer: -105661043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from gttyeeur?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 3*c**2 + 2*c**2. Let l(b) = -5*b. Give l(v(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*n + 146 - 287 = -1845 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644392 is divided by 783.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**15)\/((f**5\/f)\/f))\/(f**(-9)\/f*f**(1\/4)) assuming f is positive.\nAnswer: f**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 602 - 2a6476?\nAnswer: -2a5974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/12630 and -22\/18945.\nAnswer: 37890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 + -258. Solve -5*d + 2 = -v*d + h, -h - 1 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -60*v**2 + 34*v. Let b(l) = -20*l**2 + 12*l. Let h(t) = 17*b(t) - 6*p(t). Let u(j) be the third derivative of -j**5\/30 + 6*j**2. Calculate h(u(c)).\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2150 divide 232780500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) -1.9 (c) 9\/8 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2130, -110, 1910, 3930, 5950?\n\"Answer: 2020*r - 4150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14399, 28818, 43247, 57692, 72159, 86654, 101183, 115752?\nAnswer: 130367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 943*k**2 + 11*k + 11. Let l be m(-2). Suppose -10*o = 1441 - l. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 755 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 1590 = 664. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 10. Suppose -12 = -j*l + 23. What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:36 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v**2 - v. Suppose -4*k - 24 = -20. Let r(g) = -g**3 + 6*g**2 + 3*g - 9. What is the smallest common multiple of r(6) and a(k)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Suppose 2*k = 11 + g. Let s = -4 + k. Solve 0 = s*u - 3 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 33*x - 16. Let u(i) = 2*i. Give -m(b) - 4*u(b).\nAnswer: -41*b + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 3*r - 3. Let s = -7000 + 7005. Let o(z) = 3*z**2 - 2*z - 4. Determine s*o(g) - 4*m(g).\nAnswer: -g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -249606\/14509?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25061 - -25222. Calculate the remainder when u is divided by 149.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15046, -60205, -135474, -240853, -376342?\n\"Answer: -15055*z**2 + 6*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2*t**5\/35 + 169*t**4\/14 - 692*t**3\/7 + 2092*t**2\/7 - 400*t + 6716. Factor v(w).\nAnswer: 2*(w - 2)**3*(w + 175)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 1:07 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 25*k**3 + k**2 - 9*k**4 + 21*k**4 - 14*k**4 as u*k**3 + b + w*k**2 + a*k**4 + t*k and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let a = -937.8 - -938. What is the closest to -0.2 in -1, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*r + 2027 - 16137 - 16754 = 0 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30474349162 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 730 - 729.999533. What is k rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4 + 2327*h**3 + 5492*h**2 wrt h?\nAnswer: -24*h + 13962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 48 = -3*k, l - 24 = -16*k + 13*k. Solve -1 = -s, -4*s - 2 + k = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 66*f - 72*f. Solve f*a - 25 = -4*n, 0 = -n + a - 0 + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from skcscsdkswscsssbkd?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 166 = -5*s - 5*j, 2*s + j = 377. Let z(g) = 3*g**2 - 98*g + 555. What is the remainder when s is divided by z(27)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10382 and 231626.\nAnswer: 6717154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 575352 > 575363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/5 (b) 2 (c) 1\/5 (d) -0.5 (e) -13\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (69\/(-46))\/(6\/7724). Let u = w - -2755. What are the prime factors of u?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -691546 + -1a?\nAnswer: -691563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1703 - 1701. Suppose -12\/7*k**3 + 15\/7*k**h - 6\/7 + 3*k = 0. Calculate k.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 smaller than 746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6571003 is divided by 1426.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 3109010.\nAnswer: 3108998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 14. What is the second derivative of 12*d - d**3 - 3*d**3 - z*d wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -320 - -614. Let c = 297.87 - v. Let m = c + 0.13. Sort -3\/5, -0.5, -0.4, m in descending order.\nAnswer: m, -0.4, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/(6\/(-4)). Let j = -25497 - -25498. Suppose -5*t - 9 = -4. What is the nearest to j in -2\/15, t, a?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47728467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -31*k**4 - 4*k**3 + 9*k**2 + 8*k + 148. Let p(g) = -32*g**4 - 3*g**3 + 8*g**2 + 6*g + 150. Let j(z) = -3*h(z) + 4*p(z). Differentiate j(v) wrt v.\nAnswer: -140*v**3 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 538213*q**2*z**3 + 70954*q**2*z - 15*q**2 + z**3 wrt z?\nAnswer: 3229278*q**2*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 1.6.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -82417400 rounded to the nearest one million?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45424441 to the nearest integer?\nAnswer: 6740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 73 = v + 506, -5*v = 3*t - 353. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -42. Suppose -v + 7*w + g = 4*w, 0 = 5*v - 4*w - 62. What are the prime factors of v*8\/20 + 10?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -3)\/(-2)*5. Let t(d) = 1 - 1 + 0 - 6 - d. Give t(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 115.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4278 by 5.\nAnswer: 4278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/5*680\/(-816)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - (-712)\/352)\/((-6)\/472) and -71\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1452, -5945, -13726, -25035, -40112, -59197, -82530?\n\"Answer: -40*l**3 - 1404*l**2 - l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2167176?\nAnswer: 2167171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 - 3*c + 3. Let l(j) be the second derivative of j**5\/20 - j**4\/3 - j**3\/3 + j**2 + 29*j - 1. What is 2*d(p) - 3*l(p)?\nAnswer: -3*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2\/3 + 1168*u\/3 - 170528\/3 = 0.\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -143983\nAnswer: 2\/143983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 3, 0, 340, -1 in descending order.\nAnswer: 340, 3, 0.06, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 29*f**2 + 19*f + 51. Let n(z) = 10*z**2 + 6*z + 18. Let o(i) = 17*n(i) - 6*s(i). Solve o(u) = 0 for u.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 223235?\nAnswer: -223243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, q: 1}. What is prob of picking 1 q and 3 d?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -209466912.1 rounded to the nearest 1000000?\nAnswer: -209000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8440.987 - -8431. Round r to 1 decimal place.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7\/(-3))\/((-32)\/3552)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 745 (b) -5\/6 (c) -2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -426*k + 425*k - 4*r, 4*k + 16 = -4*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2035737 + -1?\nAnswer: -2035738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {d: 5, r: 1, k: 5, m: 1}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 5*y**2 + 5*y - 2913. Let x(g) = g. Determine u(n) - 5*x(n).\nAnswer: 5*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)*q)\/q**(-2\/5))\/(q**(1\/2)\/q**8)*(q\/(q\/(q*q**1)))**(-1\/16)*q\/((q**6\/q)\/q)*q**8\/q assuming q is positive.\nAnswer: q**(1493\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32936535489859 - 0.2?\nAnswer: -32936535489859.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:19 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 - (-4)\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 72*o. Let r be b(-1). Suppose -1400*f - 2860 = -1422*f. Let m = f + r. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11\/(-2904)*-9)\/(2\/12) and -11\/5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k - 4. Let b be i(0). Let l = b - -3. What are the prime factors of (-3)\/(l*(0 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 231 = -f, 0 = 3*f - f - 4*i - 406. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254000 (base 7) to base 3.\nAnswer: 2101110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3 times 776621?\nAnswer: 4892712.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -298 * -63816.7.\nAnswer: 19017376.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 l when four letters picked without replacement from {h: 2, k: 3, l: 3, y: 3, z: 1, g: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-3 - (7749\/858)\/(-3)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -29783, 3 in decreasing order.\nAnswer: 10, 3, -29783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*a + 45490 = 0, 3*j - 107*a + 109*a = 136437. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 2 z when four letters picked without replacement from {b: 1, m: 6, z: 8, t: 3, q: 1}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 55 = 5*p, -19 = t - 8*p + 3*p. Let l(b) = 16*b**2 - 1 - 25*b**2 - 2*b + 10*b**2. Determine l(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 6*q - 6. Let j be h(4). What is the tens digit of 4 + 14\/1 - j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrtr when four letters picked without replacement from tttrtttrtttrtt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 29, 5, 1\/10, 2\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2855913533281 and -0.2.\nAnswer: -2855913533281.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1035, 4100, 9199, 16332, 25499, 36700?\n\"Answer: 1017*j**2 + 14*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*c*r**3 - c*r**2 + 2*c*r + 25443*c - 3*r**5 - 14*r**3 wrt r.\nAnswer: 78*c - 180*r**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0. Let v = z - 1.2. Let b = -35 + 177\/5. What is the closest to -1 in b, v, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**5\/30 - r**4 + 5*r**3\/3 - r**2 - 305*r - 3. Give i(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240593 and 1504.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 1, p: 1, n: 8, w: 7, r: 1}. What is prob of sequence sn?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25357 - 19500. What are the prime factors of o?\nAnswer: 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 75?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 7*k**2 + 5*k. Let q = 24 + -18. Calculate g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140363711\/11424 + -86007\/7. Calculate the common denominator of 11\/221 and d.\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001880735 to six dps.\nAnswer: -0.001881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 21 = 2*x, -192465 = -5*a - 5*x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180 + 7*j**2 - 4*j**2 + 163)*(2*j - 2*j + 2*j).\nAnswer: 6*j**3 - 34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.12 and -0.02.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkwwkgkg. What is prob of picking 2 g and 2 w?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 50*h - 5 - 39*h + 17*h**2 + 3. Let x(v) = 8*v**2 + 5*v - 1. Calculate 6*s(m) - 13*x(m).\nAnswer: -2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 3\/2*u**2 - 2*u + 0 + 5\/12*u**4 + 1\/3*u**3 + 1\/20*u**5. What is the remainder when q(-4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(2)*-6))\/sqrt(10))\/(sqrt(90)\/sqrt(5) + 3*sqrt(2)*-4).\nAnswer: sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65886727 to the nearest integer?\nAnswer: 8117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcrmu. What is prob of picking 1 m and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-50)\/8)*55\/(-22)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(162) + 2 + sqrt(162)) - (3 + 6*(sqrt(162) + 0)).\nAnswer: -90*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127895 + 127068 - 2*a - 254963.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 - 3*a + 5. Suppose 5*g + 5*t - 10 = 0, -5*g + 2*t - 4*t = -16. List the prime factors of u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1107, -4462, -10051, -17874?\n\"Answer: -1117*d**2 - 4*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -382, -1.\nAnswer: -382, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6006 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.62492 tonnes to grams.\nAnswer: 41624920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(28)\/(2*sqrt(4)*-2 + sqrt(4)))**2 - 6*(1 + sqrt(847))**2*2.\nAnswer: -91598\/9 - 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3565881 divided by -1991.\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 10:07 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*v + 678 = -58*v - 2316 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 95558.\nAnswer: 47779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -60 (c) -2\/23 (d) 2 (e) 0.5 (f) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 381 and 0.2.\nAnswer: 76.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 10*g + 27. Let r be u(12). Let x be 1 - ((5 - (r + -2)) + 79). Put 3, -4, x in descending order.\nAnswer: 3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**2 - 18*j - 18. Determine h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 + -209?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 192196349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3033321203 (base 4) to base 12\nAnswer: 35096b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*p**3 + 23*p**3 + 24*p**3 - p**5 + (-p**4 - 3*p**4 + 5*p**4)*(-2*p - p + p) - 4*p**5 + 4*p**4 - 4*p**4.\nAnswer: -7*p**5 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*i**5 - i**4 + 166*i**5 + 469*i**2 + 31*i**4 - 79*i**5 wrt i?\nAnswer: -1260*i**2 + 720*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 12:19 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*w + 632704 - 629754 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 70297\nAnswer: -70296.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-2\/7)))**(2\/51)*m**(1\/2)*m*m**(2\/3))\/((m*m*m**(1\/2)\/m)\/m*m*(m*m**(-7))\/m*m*m**0*m**2*m) assuming m is positive.\nAnswer: m**(1291\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44817 - 44801. Solve -3*x - 2*p + m = 0, 17*p - 16 = -5*x + 19*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 4686\nAnswer: -468.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 8) in base 15?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*p - 7*p - 3*y, -26 = -4*p - 2*y. Calculate the remainder when 35 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 2*b - 17. Let w(j) = -j**2 + j + 6. Determine 17*w(f) + 6*z(f).\nAnswer: f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120470 minus 616?\nAnswer: 119854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8359?\nAnswer: 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 29*z**2\/2 - 15*z - 3. Let l(r) = -19*r + 10. Let i(y) = -7*l(y) - 5*n(y). Differentiate i(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161832478 is divided by 53944159.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 - 5*m + 22. Give o(5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 174*f**3 + 3*f**2 + 1858 wrt f.\nAnswer: 522*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 464489?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 1, l: 1, o: 1, b: 2, a: 1}. Give prob of sequence oo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3868 (base 11) in base 4?\nAnswer: 1032223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 308?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:35 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 174601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2300270 + 0.0137447\nAnswer: 2300270.0137447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q + 180 + 60 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmbzmmkmkkkkbkkp. Give prob of picking 1 p, 2 m, and 1 b.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-15))\/((39\/(-65))\/((-219)\/(-73))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -60, -228, -556, -1098, -1908, -3040?\n\"Answer: -9*i**3 + i**2 - 2*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3097253.\nAnswer: 47, 65899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11483, -11484, -11485?\n\"Answer: -p - 11482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prrr when four letters picked without replacement from rrpr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15608 + 15608. Let v(a) be the third derivative of -26*a**2 + 23\/60*a**5 + 0 + j*a**4 + 0*a - 13\/3*a**3. Find the first derivative of v(x) wrt x.\nAnswer: 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, l: 1, d: 3, y: 5, w: 6, e: 1}. What is prob of picking 2 w and 1 d?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -2061 - 0*7\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 39. Let f(k) be the first derivative of k**2\/2 - 23*k - 30. Let u be f(13). Let g be a(u). What is the greatest common divisor of g and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830.9 + -5238?\nAnswer: -3407.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2820 and -119\/2350.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 32 + 38)*(-13 + 10 + 29)*(-1 - 2 + 4)*(-q + 6*q - 4*q) as o + d*q and give d.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1 - 6) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1344878 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 590 divided by -6.\nAnswer: -295\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*j**2*o**2 - h**2*j**2*o + 7688*h**2*j**2 - 1147910*h**2*o**2 + 26*h*j*o wrt o.\nAnswer: -6*h**2*j**2 - 2295820*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 + 240. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 - 522021*t - 2610180 = 0 for t.\nAnswer: -5, 174012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*n - 5*n + 435, -2*t = -n - 295. Calculate the remainder when t is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - d - 1. Let q be m(2). Suppose -245*i = -236*i - 918. What is the remainder when i is divided by (3 - q)\/(2\/35)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -364 (base 15) to base 2.\nAnswer: -1100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159460.\nAnswer: 2, 5, 7, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 34, 40, 46?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1927*s - 1065*s - 2272*s as v*s + f and give v.\nAnswer: -5264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 93920\/1456 - (-8)\/(-14).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = p + 2*m + 92, -562*m = -2*p - 558*m + 214 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (7 + -3) - (-5 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-540)*-42 + -5.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*s + 9*s. Let o be 8\/(-36) - 6\/(-27). Suppose 2*x + 8*r = 3*r + 16, o = -x + s*r + 30. Calculate the remainder when 70 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -1980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 4*j**2 + 0*j**2 - 2*j**3 + j**2 + 5*j**2 as u + b*j**2 + i*j + z*j**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 + -586042454?\nAnswer: -586042453.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-91)\/26*(-1080)\/(-189).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53592287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13672*k - 27057*k - 9441*k - 1217*k.\nAnswer: -51387*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11984*g = -11900*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8250609 is divided by 434241?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 - 21*i + 8. Let x be a(-4). Put 2, x, -1, 3 in ascending order.\nAnswer: x, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -403, -786, -1153, -1504?\n\"Answer: 8*o**2 - 407*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 67*x**2 + 5*x - 5. Let q(t) = 1240*t**2 + 93*t - 93. What is -93*c(p) + 5*q(p)?\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87097 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 40 = -5*x. Suppose -x = -5*m + 7. Suppose -2*w - 2*w + 2*o + 114 = 0, -m*w + 90 = -3*o. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 221*m**5 - 52993*m**4\/2 + 150387*m**3\/2 - 86957*m**2\/2 - 10645*m\/2 - 117 = 0.\nAnswer: -1\/13, -1\/34, 1, 2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13043156.\nAnswer: 2, 7, 29, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 2*c**4 + 6*c**4 + 6*c**2 + 5761 - 5759 to the form o*c**3 + a*c**4 + f*c + d*c**2 + n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 - 14*q**3 - 18*q**2 + 2 - 21*q**2 + q - 3 + 13*q**3 + 13*q**2 in the form v + i*q**4 + z*q + m*q**3 + s*q**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*j - 142309 + 46391, 4*i - 76741 = j. Let l = i - 9227. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 6*x**2 - 6*x - 3. Let h be t(-5). Suppose -4*a + 4*w + 5 = -11, w = -a + h. Solve -2*v + j + 8 = 0, v = j + a*j + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p - 7*p**3 + 1 + 17*p**3 + 25*p - 9*p**3 as w*p + k*p**3 + l + j*p**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-3))\/((-24)\/36). Solve w = 5*u - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + h + 11 = 0, -8*l - 2*h = -3*l - 4. Suppose l*d - 41 = 55. What is the remainder when 61 is divided by d*((-20)\/12 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/2 - 6081880\/135240?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let i be (16\/(-6))\/(u\/6). Suppose -4*g + i*g = 4*k - 44, 0 = -3*k + 2*g + 34. Calculate the remainder when 22 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 11. Suppose -h = p*h. Suppose 2*r - 3*r + 2 = h. Solve -r*k - 4 = t - 1, 0 = -2*t - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:38 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 1:56 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3773*t**3 + 1470*t**2. Let i(v) = -8*v**2. Let l(n) = -2*i(n) - k(n). What is the third derivative of l(u) wrt u?\nAnswer: 22638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -19*x - 65. Let q be k(-13). Suppose -28 = -3*v + q. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53 and -6609.\nAnswer: -6556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = -126*g - 78*g + 153*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -y - y, 4*i = -3*y - 4. Let f = 22 - 4. Suppose i*b + 5*d = 4 + f, -b - 2*d = -11. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 3*g + 2. Let p be (-20)\/30*18\/4. Let s be m(p). Solve 1 = s*z - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202102 (base 3) in base 4?\nAnswer: 20213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 118*m**2 - 1070*m + 141491. Give j(119).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -441.4382 + -3.4578. Let u = -445 - v. Is -2\/3 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r**5 + 14343*r**4 + 1152333*r**3 + 20899041*r**2 - 27026946*r + 4961256 = 0 for r.\nAnswer: -37, 2\/9, 1, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33420050 - 4?\nAnswer: -33420054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 41*a + 6. Let b be m(9). Let d = b + -231. Let t = d - 98. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -6, 3*i + s - 2 + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1805\/(-38) - -45)*(48\/330)\/(4\/(-10)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a + 113. Give y(4).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-1) - (-10 + 9). What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -4. Let t = 117 + a. Suppose -t = -4*o - 394. What is o rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -9. Let k be 24\/u + 29\/5. Suppose k*o - 28 = 3*o. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18037870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20511, 20482, 20437, 20370, 20275, 20146, 19977?\n\"Answer: -t**3 - 2*t**2 - 16*t + 20530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4908 divided by 8?\nAnswer: 1227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - 4.7. What is the closest to 0.05 in q, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592927785 to the nearest integer?\nAnswer: 24350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -784*w - 18024. What is x(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310\/806*((-13)\/(-130))\/(1\/4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.83 - -42. Let v = y - -6.83. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, j: 14}. What is prob of sequence xxx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14030 (base 13) to base 14\nAnswer: d8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087*y + 125706 + 64770 = -837*y for y.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3 - 8*c**2 - 58*c - 48 = 0. Calculate c.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 10*i + 7*i + 4 as l + a*i and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168 + 2689\/16. Let f = -1931 + 1931.1. What is the nearest to 2\/11 in h, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(36\/(-6)))\/((-4)\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*1\/(2\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -1\/414 (c) 21 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6501 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 2736 = 14*y. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 16. Let n be f(7). Suppose 4*d - d = n. Suppose -403 = -i - 2*k, 0*i + i = -d*k + 403. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 31 + 38. Let i(c) be the third derivative of c**6\/120 - 7*c**5\/60 + 7*c**4\/24 + c**3 - 5*c**2. Calculate the remainder when w is divided by i(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - c**2 - 3*c + 3. Suppose 2*i + 232 = 3*p, -13*p + 75 = -12*p - 3*i. Calculate the remainder when p is divided by u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5172 and 6896.\nAnswer: 20688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 7:44 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100504?\nAnswer: 2, 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*b - 31 = -2*g, 0 = -2*b - 8. Let q be (-40)\/(-1) - (-1 + g). Suppose 4*i = q + 26. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 10, -149*y - 4*o - 220 = -155*y. Calculate the remainder when 3176 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 8)*(m - 3 + 4 + 2) as w + a*m and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81584524?\nAnswer: 2, 7, 2913733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.821365 to one dp.\nAnswer: -84.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116065666*f**3 - 8320252*f**2?\nAnswer: 696393996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, -18, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.915258 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000809207414 rounded to five decimal places?\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103125984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 10*s**2 + 2. Let b be w(10). Suppose -21 = -f - b*f + 3*x, 2*f - 3*x = 18. Put f, 1, 4 in ascending order.\nAnswer: 1, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -4. Suppose -4*o + 4 = -3*t, -3*o - x + 0 = -4*t. Let u = 18 - 17. Which is the nearest to 1\/2? (a) 2\/5 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 8887482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -651, -727, -643, -399, 5, 569?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5826.0000004843 - -5826. Round j to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14699?\nAnswer: 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5408*f**2 - 1 + 2760*f**2 + 2648*f**2 + 16*f**3.\nAnswer: 16*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2, 9191557, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - -1.5121.\nAnswer: 78.5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -26*s**2 - 2*s + 9. Let p(n) = -77*n**2 - 6*n + 29. What is 19*c(i) - 6*p(i)?\nAnswer: -32*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1\/7 (c) -0.04 (d) -0.03 (e) -4 (f) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.021 < 3750218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 3) to base 12\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqag when four letters picked without replacement from qdargdddrurdurg?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2704 - 108279\/40. Let k = 4957\/8 + -623. Let o = k - n. What is the third biggest value in 0.2, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*6*(6 + -3)\/(-9). Suppose -s*y + 4*y = -360. Suppose 5*v - 5*f - 1215 = 0, 2*f - 232 = -v + 2. Calculate the greatest common factor of y and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (914\/(-3656))\/(((-154)\/72)\/7)\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (20 + 3) - (3 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/70 + (4 - (-240)\/(-70)) + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - g - 2*g - g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (66\/9)\/((-6)\/(-9)). Solve -9 = -3*l + m, 4*l - 2*m = -m + n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 53. Let h = 21 - 26. Sort j, 1, -19, h in decreasing order.\nAnswer: j, 1, h, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103807914979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215769, 431539, 647309, 863079?\nAnswer: 1078849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101000111011 (base 2) to base 15.\nAnswer: -596d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504 (base 6) in base 5?\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/35 + 2\/7. What is the biggest value in u, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, -0.17, -0.24, 0.71 in increasing order.\nAnswer: -2, -0.4, -0.24, -0.17, 0.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 12. Suppose 0 = 2*q - k*q + 6. Let p = 1 - 2. Sort -3, q, p in ascending order.\nAnswer: -3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) -4\/3 (b) 3 (c) -3\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 37895200 to the nearest one hundred thousand.\nAnswer: 37900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122425 (base 7) to base 6.\nAnswer: 252114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3878 (base 13) in base 10?\nAnswer: -8042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/133 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.662 rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -941619, -1883239, -2824859, -3766479?\nAnswer: -4708099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59000 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 2*y + 11*i + 72, 5*y + i = -164. Let t(l) = 2*l**2 + 62*l + 80. What is the units digit of t(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-54)\/(-31185)*-45*(-44)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 164.7*-24\nAnswer: -3952.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*w = 52, -12 = -2*x + 4*w + 6. Suppose -3*t = -56 + x. Suppose -3*d + t = -15. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -1\/40*h**5 - 1\/360*h**6 + 0 - 1\/6*h**4 + 0*h - 2*h**2 + 1\/3*h**3. Let s(g) be the first derivative of b(g). What is s(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*b = 12*b + 365. Sort -18, 10, b in increasing order.\nAnswer: -18, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24288, 48697, 73106, 97515?\nAnswer: 121924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/8 and -43\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 2, p: 2}. Give prob of picking 1 g and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/3 + 78186*z**3 + 625456*z**2 + 3752672*z\/3.\nAnswer: 2*z*(z + 4)**2*(z + 117271)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14225.4 * -11\nAnswer: -156479.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31.3079 or -1\/9?\nAnswer: -31.3079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96887 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtjtjjjjjtttj. What is prob of picking 2 t?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4738 or -0.07?\nAnswer: -1.4738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162380145?\nAnswer: 3, 5, 263, 41161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2. Let a(m) = -m. Let t(k) = 2*k. Let p(g) = -3*a(g) - 2*t(g). Give p(o(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*v + 10. Let o(k) = 36*k + 79. Let m be o(3). Suppose -m = -v*h + 313. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 657\/(-4) - (-1)\/4. Let r = 237 + w. Let l = -39 + r. Calculate the highest common factor of l and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -3619 - 4229. Suppose 875 + 393 = 3*q + 5*h, 0 = -q - 5*h + w. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 146, 228, 308?\n\"Answer: -o**2 + 87*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1850323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-0.12763.\nAnswer: -4.33942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185888923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(2 - 3 - 3)*(-343 + 94*h + 343) + 2*h + 2*h - 2*h to f + z*h and give z.\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.129, 0.3, 1374 in descending order.\nAnswer: 1374, 0.3, -0.129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186, -80, 26, 132, 238, 344?\n\"Answer: 106*d - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 11*b + 9. Calculate t(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2180*f**2 + 6453*f**2 - 2148*f**2 - 2168*f**2.\nAnswer: -43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15631 - 5945. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8c69 (base 13) to base 2\nAnswer: 100110011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -33*y**3 - 23*y + 5. Let a(b) = 17*b**3 + 12*b - 3. Let p be (6 - 7)*-1*2 + 3. Let v(z) = p*a(z) + 3*l(z). Find the second derivative of v(t) wrt t.\nAnswer: -84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20 and -523931773?\nAnswer: 523931793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - j. Let i be s(1). Suppose -i = 4*k - 16. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((1*sqrt(2448) + sqrt(2448))*5 + sqrt(2448)*-2*-4)**2 - (-3 + (sqrt(136) + 1*sqrt(136))\/sqrt(8)*4)**2).\nAnswer: 48*sqrt(17) + 792057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240828 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -791\nAnswer: 10\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*m + 8846, 15*m - 6198 = -r + 20356. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 15*c - 12*c. Solve -c - 13 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188376 divided by 6?\nAnswer: -31396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**3 - 11*q**2 - 9*q. Suppose 469 = 6*c + 481. Let b be ((-693)\/(-42))\/(3\/c). Let u(v) = -2*v**3 - 4*v**2 - 3*v. What is b*u(a) + 4*h(a)?\nAnswer: 2*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100\/14317 + -4745340\/23465563. Let j = d + 2\/149. What is the third biggest value in j, -5, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987795 is divided by 2932.\nAnswer: 2643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-3)\/(4 - -2). Factor -35*s**2 - 33*s**2 - 9*s + 98*s**z - 29*s**2.\nAnswer: s*(s - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(1*sqrt(6)))\/(2*sqrt(300))*2)**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-2)*(-3)\/72*8. Suppose -p - a = -2*f, 0*p - 5*f + 15 = -2*p. Suppose g = -4*g + 2*y + 12, 3 = -3*y. Solve b - 2*b = -g*r + p, -r - 2 = b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 35 = -5. What is the greatest common divisor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in 29\/2, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -0.148 (c) -0.05 (d) 1\/5 (e) -7 (f) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/8708 or -0.2?\nAnswer: 11\/8708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1314 (b) -3\/4 (c) -0.1 (d) -5 (e) 4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 947737909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 754.721 minutes?\nAnswer: 45283.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**5 + 90*p**4 - 60*p**2 + 6 wrt p?\nAnswer: -240*p**2 + 2160*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*q + 10, -5*f - 1 = 12*q - 11*q. Let u(o) = -25*o + q*o + 17*o. Let l(z) = -248*z. What is u(l(y))?\nAnswer: -248*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -7*a + 22. Calculate the greatest common factor of a and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Suppose -j + 0 + s = 0. Solve 3*w = w - v + 2, 0 = w + 5*v - j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-10))\/z)**(-24))**(-2\/51) assuming z is positive.\nAnswer: z**(-160\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5\/9 + 374*s**4\/9 + 8*s**3\/3 - 4520*s**2\/9 + 5984*s\/9 = 0.\nAnswer: -4, 0, 2, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*w + 3)*(-1312 - 5296*w + 1312)*(5*w**2 - 4*w**2 + w**2 + 2).\nAnswer: -21184*w**4 - 21184*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/7 - 903030*a\/7 + 67955265075\/7.\nAnswer: 3*(a - 150505)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5*q + 5 = 0, 2*q + 10 = 31*o + 8 - 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4*d + 6, 6*k + 5*d = k + 5. Suppose 0 = 3*m + 10 + 5. Sort k, 4, m in decreasing order.\nAnswer: 4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1c94?\nAnswer: 1c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -181\/4, 3, -99?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/7 (b) -2\/11 (c) -19\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5 and -49\/205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -4. Let i be ((-2)\/(-10))\/(n\/(-10)). What is f in 0*f**2 + 0*f + i*f**3 - 2\/3*f**4 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 8*m - 7. Suppose -3*a = 4*v + v - 33, -3*v = a - 19. Let h be o(v). Solve -k = -h*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1331)*-1 + (3 + sqrt(1331))*6 + (6*(sqrt(22)\/(sqrt(2) + sqrt(2)*1))**2 - ((-4 + sqrt(99))*-4)**2).\nAnswer: -3615\/2 + 439*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p**2 + p - 4. Let n be a(6). Suppose -3*g + n = b, b + 22 = 3*g + 6*b. Calculate the remainder when 25 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x**2 + 6*x - 12. List the prime factors of y(-4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13961762333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 42b286a?\nAnswer: 42b2860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2712 = 2*j - 2*r, r + 541 = -j. Let b = j - -1104. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -374866 and -4.\nAnswer: 1499464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**3 - 301*x**2 - 50*x - 288. What is t(25)?\nAnswer: -2163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 525851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 157 = 5*x, 2*x + 10 = -0*x. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72331543.\nAnswer: 47, 61, 25229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23337*t**5 + 252*t**3 + 23374*t**2 + 47?\nAnswer: -1400220*t**2 + 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 103*v + 21. Let m be c(-16). Calculate the greatest common factor of 154 and m.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o**2 + 3*o. Let f be s(-3). Let k = -115 - -122. Suppose -r + 8 = 4*l, -3*r - 8 = 3*l - k*l. Solve -4*i - f + 17 = r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Suppose 4*n - 1 = -z + 5*n, 0 = 3*z - 4*n. Let t(l) = -4 + 9 - 5 - z*l**2. Give t(a(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6156 and -13\/380?\nAnswer: 30780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 7. Let q be z(4). Let s = q + -3. Let p(k) = -k**2 - 7*k. Give p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/6 - 11\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:40 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 9*x**5\/4 + 39*x**2\/2 + 37*x. Differentiate f(y) with respect to y.\nAnswer: 135*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and 179.\nAnswer: 15036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2388 + 2398. Suppose 3*g + 222 = 5*g. Let c = -74 + g. Calculate the remainder when c is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122575730.\nAnswer: 2, 5, 12257573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, 86, -11 in descending order.\nAnswer: 86, 0.16, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(7\/4))*(y*((y*y*y\/(y\/y**(-27)*y))\/y*y)\/y)\/y)\/(y**4)**(-4\/15))**(4\/15) assuming y is positive.\nAnswer: y**(-1661\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + (-5)\/((-175)\/126)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q - 7. Let j = 150 + -156. Let y(u) = -24*u + 21. Let c(i) = 11*i - 10. Let p(o) = 9*c(o) + 4*y(o). Determine j*p(a) + 5*b(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177133, -177140, -177147?\nAnswer: -177154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = f + x - 13 - 14 - 4, 2*x + 10 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 853499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86567*x**3 - 33863*x**3 + 42631*x**3 - 65876*x**3.\nAnswer: -143675*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/5))**5*t*t\/(((t*t**(-8)*t)\/t)\/t)*t*t**(3\/2))\/((t*t**(2\/9))**(1\/32)\/(t**(-6)\/(((t*t*(t**(1\/6)*t)\/t*t)\/t)\/t))) assuming t is positive.\nAnswer: t**(2389\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 1365. Let c(v) = -6*v + 4101. Calculate -2*c(z) - 7*i(z).\nAnswer: -2*z + 1353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/795 and -43\/1749?\nAnswer: 8745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -16*p**4\/3 + 119*p**3\/2 - 406*p. Find the second derivative of q(w) wrt w.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 79*u**2 - 28. Let a(v) be the first derivative of 2*v**3\/3 + 2779. Calculate a(r(q)).\nAnswer: 12482*q**4 - 8848*q**2 + 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3.943, -5, 218?\nAnswer: 3.943","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22075801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 249 - 245. Let l(a) be the second derivative of 0*a**2 + 1\/20*a**5 + 0*a**4 - r*a + 0 + 1\/6*a**3. Find the second derivative of l(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*f + 120 = 0, -3*f + 47 = -0*l + l. Suppose 13 + 22 = q. Is q >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -0.18?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 963 times 3\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.2741 meters in millimeters?\nAnswer: 323274.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*c + c - 39 = 0, 5*c - 27 = -r. Suppose -r*v - 156 = -14*v. Suppose -2*j + v = -42. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 - 8 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + 202 - (-88)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/5 - 744*v**2\/5 - 171615*v.\nAnswer: 3*v*(v - 673)*(v + 425)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 10. Which is the closest to 2? (a) -2\/37 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -97*b**2 - 96*b**2 + 204*b**2. Let c(s) = -181*s**2. Give n(c(x)).\nAnswer: 360371*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l + 15*l + 30*l**2)*(2*l + 24*l**2 + 3*l**3 - 24*l**2).\nAnswer: 90*l**5 + 60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/4 (b) 8\/33 (c) -11 (d) 95 (e) -0.5 (f) -4 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 59 = 4*l + 317, 5*l = 20. Is 141 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 2\/(-60). Let z be 6\/(-7) + 650\/546. What is the third smallest value in -3\/19, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88.2 - -84. Let c = r + 17.4. Let b = -3.8 + c. Round b to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 14104*23\/(-13524)\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*n + 10, -r = -4*r - 5*n - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 12*m**2 - 12*m - 12. Let j be g(-11). Let t be 28\/68 - j\/(-2). Let y = t + 83\/170. Which is the nearest to -1? (a) 5 (b) y (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2. Let n(u) = -u**2 - 1. Let z(d) = -d + 5. Let k be z(4). Let s(w) = 5*w**2 + 6. Let p(g) = k*s(g) + 6*n(g). Determine p(m(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -3)*(-1 + 1). Suppose -29 = -4*a + a + m, o = 4*a + m - 48. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p**2 - 25*p**2 - p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 341.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Suppose 0 = 3*z - s*a - 3, 0 = 4*a + a. Suppose 5 = 4*r - 5*r - 2*l, 4*r + 20 = l. Put z, r, 3 in decreasing order.\nAnswer: 3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49246229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-3\/2))\/(d\/(d\/d**21))*d**(2\/31)*d*(d**(3\/20)*d)\/d assuming d is positive.\nAnswer: d**(-11957\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1426*a**2 + 1509*a**2 - 172*a**2 - 601*a**2.\nAnswer: 2162*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115214725*l**2*z**4 - 91*l**2 - 5609*l + 11 wrt z.\nAnswer: -460858900*l**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghhh when four letters picked without replacement from {g: 1, h: 8, x: 1, p: 6}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -30010929.\nAnswer: 6002185.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.151764276 + -509.\nAnswer: -508.848235724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -2\/7 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.095875 + 0.15304. Round z to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*y + y - 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5909.938 weeks to hours.\nAnswer: 992869.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 11. Suppose 0 = 3*f + 3*j + 24, -3*f - j - 3*j = 25. What is p(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/2 + h**2\/2 + 12*h. What is c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q - 5*q. Let x be -4 + q\/((-3)\/75). Let d = -17 - x. What is the smallest common multiple of 22 and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/18 + (-119104)\/(-72) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-16461)*-59)\/((-10)\/(-18)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x + 1. Let z(y) = 17*y + 2. Let r(c) = 8*p(c) - 5*z(c). Let k be r(2). Is 2 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 3*s - 2*p, 4*s + 79 + 53 = 4*p. What is the common denominator of 57\/7 and (-2)\/s*3*(3 + -34)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/19 + 6774164*b\/19 - 27096624\/19.\nAnswer: -2*(b - 3387078)*(b - 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.199308273 + -0.1.\nAnswer: -0.299308273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/26460*-80*(-9)\/14.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/3 (b) -9200 (c) 17 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1047 - 1599. Which is bigger: w or -553?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665326661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1882 - 1847. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 119*u - 56. Let a(x) = x**2 - x - 70. Let s be a(-8). Does 14 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2760)\/28)\/5 + (-7 - 188\/(-28)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 4*f. Let r be x(4). Suppose -4*d + 50 = -0*h + 2*h, r = -4*h - 12. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g - 48. Let j(m) = -m**2. Determine j(l(o)).\nAnswer: -81*o**2 + 864*o - 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clc when three letters picked without replacement from {l: 6, j: 1, i: 3, c: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*3 - 1*(sqrt(17) + -3*sqrt(17))**2.\nAnswer: -68 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 1061 = 84*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016246 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*t - 246*t = -531 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 24*a - 132. Let y(l) = l - 9. What is p(m) - 15*y(m)?\nAnswer: 9*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.53 - -171.47. Let i = 170 - l. Which is the closest to i? (a) -0.4 (b) -0.1 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a**2 + 4*a. Let i(o) = o. Give 4*i(l) - y(l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g = -652. Suppose 5*w + 5*p = g + 82, p - 94 = -2*w. Let s be -18*4\/24*-3. What is the greatest common factor of w and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.4. Let c = u - -3.9. Let z be ((-4)\/27)\/((-6)\/9). What is the second smallest value in c, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079212065 a multiple of 3633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-52) - 18\/(-78)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 minus -520476?\nAnswer: 520479.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence err when three letters picked without replacement from errerer?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1189 + -509. Let f = b + -413. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*q - q = -10, 25 = 5*m + 3*q. Let f be (-4 - m)*(-2)\/(-3). Let h = 5 - f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6 + -2)*148\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -392.9 - -442. Let p = g - 47. Let o = p - 5.4. What is o rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.2 - 20.2. Let t = 6 + -5.4. Let q = t - 1. Which is the closest to 0.2? (a) o (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23645, 23646, 23649, 23654, 23661, 23670, 23681?\nAnswer: 23694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.05, -1\/4 in increasing order.\nAnswer: -1\/4, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -198231 - -198228. Let b(c) = -7*c**3 + 11*c**2 - c + 5. Let n(x) = 4*x + 4*x**3 - 6*x**2 - 4*x - 3. Give v*b(l) - 5*n(l).\nAnswer: l**3 - 3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216, 3, 5.\nAnswer: -216, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 136, 135, 134, 133?\n\"Answer: -h + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6901119.99997 - 6900998. Let s = -122 + q. Round s to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - s**4)*(-2494 - 1076 - 462 + 880).\nAnswer: 3152*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:07 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -3*k**2 + 21 + 0*k - 17\/48*k**4 - 11\/60*k**5 + 2\/3*k**3 + 1\/80*k**6. Factor u(q).\nAnswer: (q - 8)*(q + 1)*(3*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l - u - 42, -3*l - 4*u + 280 = 348 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 2392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 + 3 = 0. Suppose 3*w = 3 + m. What is the third derivative of -34*c + 11*c**2 - 17*c**w + 34*c wrt c?\nAnswer: -408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 + 216 = -4*u - 4*f, -5*f + 76 = 4*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1652\/2229?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 674899889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 6*k - k**3 + 2 - 5*k**2 + 3*k + k to the form d*k**3 + a*k + x*k**2 + c and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/6 + 3*j**2 - 11*j\/2 + 8\/3.\nAnswer: -(j - 16)*(j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5658 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/21, -1.391, 124?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 57590?\nAnswer: 57590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 50 - 48 = 0. Let i be (-1 - (-2 - -2))*-2. Solve -2*k + 4*b + v = 0, 2 + i = -5*k - 3*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 2\/15, -2\/9, 1\/10, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1121*a**2 - 50*a**2 + 205*a**2.\nAnswer: -966*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3 = -5*x, 5*h - 24 = 4*x - 0*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 14*p + 4*p)*(18*p - 5*p + 20*p)*(3 - 1 - 1)*(0*p**2 - 3*p**2 + 4*p**2).\nAnswer: 396*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:54 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -467*p - 1429. Calculate the smallest common multiple of a(-7) and 2392.\nAnswer: 23920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neexeeejxxeeeeexnn. Give prob of picking 1 j and 1 e.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -137, -142?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + (-3 - -8) + 25911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:30 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f + 16. Let t be 5*(-2)\/(f\/(-4)). What is the greatest common factor of t and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3654\/(-36)*(-1)\/7*2. Suppose 17 = 2*g + 15, u - x = -4*g. Solve u = -7*f + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 421 + 33?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkblbbbbbkbkk. Give prob of sequence kkbk.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, -5, -2, 12, -1, -103, 3 in decreasing order.\nAnswer: 12, 3, -1, -2, -5, -103, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(85) - (sqrt(85) + 2*sqrt(85))))\/(-4*sqrt(125)) + 4.\nAnswer: -sqrt(17)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deedeeedddeddeeeddd. What is prob of sequence dd?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from pxppppxpxxp.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 - 31*m**2 + 248*m - 245. What is r(5)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 45316704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*u - 15 = -3*o, 0 = -2*u + 2. What are the prime factors of (1\/o)\/(1\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2 + 2. Suppose 713 - 1889 = -w*t. Suppose -5*i + q + 28 - t = 0, 2*i - 4*q = -110. Are -53 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y - 1438. Let v(i) = 14*i + 2883. What is -13*h(o) - 6*v(o)?\nAnswer: -6*o + 1396","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-464)\/(-174)*((-4)\/10)\/((-16)\/(-20))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/98)\/((-12)\/(-14))*3 + 10\/56.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*u + 197*a**4 - 2*a**3*u + 28*a**3 - 5*a**2*u + 1397*a**2 - 296*a*u + 3*a + 3*u - 1 wrt a.\nAnswer: -48*a*u + 4728*a - 12*u + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31360*n**5 + 224*n**4 - 361654*n**3 - 533738*n**2 - 119280*n - 7200 = 0 for n.\nAnswer: -15\/8, -1\/7, -4\/35, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84834 and 98973.\nAnswer: 593838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2007439 and -0.24.\nAnswer: 481785.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -1\/6*k**3 - 8*k + 1\/12*k**4 + 0 + 4*k**2. What is p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jqqjqqjqqjjqqjqqqqq.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 11000 + 5230 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-585 + 296 + 289 - 624*s)*(1 + 0 - 4) to the form u*s + o and give u.\nAnswer: 1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((2 - 6)\/(-16)). What is the smallest common multiple of (m\/12)\/((-1)\/(-66)) and 60\/(-9)*(-24)\/10?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 6*a**2 + a + 6. Let v(i) = -i**2 + 4*i - 2. Let r(h) = 2*h**2 + 21*h + 15. Let m be r(-10). Let s be v(m). What is the tens digit of y(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 581 - 57. Let o = y + -850. What is o rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -51*u - 407. Calculate the remainder when c(-13) is divided by (-3*2)\/(3\/(-26)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19003831 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3\/13 - 4789276*w**2\/13 - 2867116839650*w\/13 + 34406091735000\/13 = 0.\nAnswer: -1197325, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*a - 13 - 1, 5*a = 5*m - 35. Solve 5*w - 5*p + 10 = a, 3*w + 2*p + 14 = 7*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 5*t - 2*t - 9*t in the form v*t + k and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/(-60))\/(((-72)\/6)\/(-120))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + (-95)\/(-10). Let g be ((-4)\/5)\/(y\/45). Put g, 2, -2 in descending order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -125, 5, 3 in increasing order.\nAnswer: -125, -15, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:41 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-30)\/110)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*f**2 - 209*f**2 - 184*f**2 - 204*f**2 + 1026*f**2 - 214*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 3. Let x(h) = -2. Let u(v) = v**2 + 12*v + 14. Let r be u(-11). Determine r*x(d) - 2*b(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let j be c(2). Let z be (0 - j - -9)\/(-1). Let t = 11 + z. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 8, 3*c + 72 = 7*c - 2*v. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i + 32. Let y be s(-14). Let h be (-40)\/30 + 938\/6. Suppose 5*c = y + h. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -6, -3, -0.3, -56?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*r - 43 + 38, 20 = 5*c - c + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtx when three letters picked without replacement from {x: 2, d: 1, t: 1, o: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - 2*v**3 + 7224*v - 2*v**2 - 74 - 7222*v as n*v + y*v**3 + s*v**2 + f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 - -186.93. Let l = 5.4 - 3.4. Sort -0.1, i, l, 2\/9 in descending order.\nAnswer: l, 2\/9, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150623521 to the nearest integer?\nAnswer: 12273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 691 - 678. What is the third derivative of -3*l**2 - 23*l + p*l - 157*l**5 + l**4 + 3*l + 10*l wrt l?\nAnswer: -9420*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*i**2 - 630*i**2 + 73*i**2.\nAnswer: -765*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3468 and -31\/1122.\nAnswer: 38148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 33*x**2 - 2*x - 1. Let a(m) = -m**2 + m + 1. What is 2*a(h) + t(h)?\nAnswer: 31*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 3*f + 88 + 9*f - 15*f. Let b(i) = 3*i**2. Determine b(x(r)).\nAnswer: 12*r**2 + 1056*r + 23232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -590\/61, -4, 137?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 26 = u, -2*u = -0*u - 2*f + 8. Let o be (-10)\/4*(-28)\/14. Let b = 77 - 72. Solve 0 = -g + 4*n + 6 + u, -b*g - o*n + 10 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -44?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12209, 49021, 110369, 196253, 306673, 441629?\nAnswer: 601121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 8*d - 231. Solve -5*w + d = 4*k, -7*k + 3 = -w - 3*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 60*t + 33. Calculate z(-11).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*c - 26, -3*c + o = -17 + 6. Solve -3*t + c*u = 4, 4*t = 3*t + 5*u + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6467 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 divided by 5?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 20. Let j be 0 + t\/6 + -3. Let k(o) = o**2 + 9*o + 7. Let x be k(-8). Which is greater: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 100*s**2 - 206*s**2 + 102*s**2 + (25 - 25 + s)*(-4 + 4 - 2*s) + (s**2 + 0*s**2 - 3*s**2)*(-2 - 2 + 2).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d + 12 = 0. What is the smallest value in -0.5, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(-20)\/(-15). Suppose -5*v - 19 = -3*a, v = 2*a + w - 17. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. Suppose p*z - 8 = 160. Suppose -4*s + z = -3*s. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 6. Let u = 9 - c. Let l(j) = 20*j**3 - 2*j**2 - 18*j + 6. Let r(s) = s**3 + s**2 + 1. Let w(v) = u*r(v) + l(v). Factor w(p).\nAnswer: 2*(p - 1)*(p + 1)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212123 - -203?\nAnswer: 1212332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)\/(1 + 0). Let u be 1*n*(2 + 1). Solve u*j = -5*m - 17, -5 = 2*m - m - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 492652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yksy when four letters picked without replacement from kkkkyyyskasytkkykkyy.\nAnswer: 21\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -9. Let c(x) be the third derivative of x**5\/60 + x**4\/24 - 2*x**3\/3 + 2*x**2. Let l be c(-3). What is the biggest value in 0.1, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a200 (base 11) to base 2.\nAnswer: -1010011101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00158270332 rounded to 5 decimal places?\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 989758 and -0.3049741.\nAnswer: 989757.6950259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, 1, -3, -2 in ascending order.\nAnswer: -184, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + 234\/12. Suppose 0 - x = -2*p. Let a be p\/5*(-2)\/(-4). Solve -2*l - a = 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -5 - (19 + -5 - 22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**5 - 4*c**5 + 3*c**5 + (c - c - c)*(0*c**4 + 0*c**4 - 2*c**4).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 864287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5570, -11134, -16696, -22256, -27814, -33370, -38924?\nAnswer: -44476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 115*u + 311. Let h be m(60). Let t(r) be the first derivative of h + 15\/16*r**4 + 0*r**2 + 0*r + 1\/2*r**3. Factor t(w).\nAnswer: 3*w**2*(5*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1407*g**3*y**2 - 2*g**3 - 2*g**2*y**2 - 3095*g*y**2 wrt g?\nAnswer: 8442*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5555*x**2 + 5555*x**2 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -306, -463, -624, -789, -958, -1131?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 2. Let f be h(5). Let q = -8 - f. Suppose 3*g + 15 = q, -5 = -3*l + 3*g + 10. Solve l = -0*o + o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8680931.7 hours in weeks?\nAnswer: 51672.2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.01709 * -0.0268\nAnswer: -0.000458012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:41 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281 - 125. Find the third derivative of 112*p**2 + 304*p**6 - z*p**6 - 13*p**3 - 153*p**6 wrt p.\nAnswer: -600*p**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*b**2 + 4 - 2*b + 0 + 402*b**2 + 3*b - 2.\nAnswer: 317*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(72) + (-1 + sqrt(72) - sqrt(72)))*-6*1 - ((0 + sqrt(72))*1 - (0 + sqrt(72))*-2)) + -1)**2.\nAnswer: -540*sqrt(2) + 5857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 574, -9, -3, -14734 in descending order.\nAnswer: 574, -3, -9, -14734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3133510\/17 + 184508. Let z = 184 - w. Let l = -18.4 + 18. Which is the closest to -1? (a) l (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71307 by -3753.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**6\/15 + 9*o**5\/10 - 5*o**4\/2 - 25*o**3\/3 + 25*o + 1. Factor f(i).\nAnswer: -2*i*(i - 5)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 0*u + 9104 + 358*u**2 - 2597 + 9*u.\nAnswer: 358*u**2 + 9*u + 6507","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5033657*m. Let b(i) = 2*i**2. Calculate h(b(q)).\nAnswer: -10067314*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1035 (b) 2 (c) 0.1 (d) -3\/2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from {e: 4, z: 5, a: 10}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-14) - (-1 + 5*33\/150)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**4\/3 - 8855*j**3\/6 - 81760*j**2 + 751355*j\/6 - 125965\/3 = 0.\nAnswer: -826, -61, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 14 + -11 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 - 7*y + 2. Let c be 5\/15 - 15\/(-9). Let r(m) = m**2 + 4*m - 3. What is the lowest common multiple of p(-7) and r(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrhh when four letters picked without replacement from hrrhr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Suppose 0 = m*b - 0 - 15. Suppose -5*k - s + 6*s - b = 0, 0 = 3*s - 12. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)*(-18)\/6 + 34. Suppose -m = -7*q + 54. Solve -q*u - 33 = -98 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 - c**2 + 2*c - 1. Let m be x(1). Suppose -d + 29 = 2*z + 2*d, m*z - 5*d - 10 = 0. Suppose z*h = 4*h + 15. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 98*r - 80. Suppose l + 500 = 508. List the prime factors of i(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14736*g - 3434*g + 948977 = 404*g - 425499 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 4*t + 0*t + (-3 + 6 - 2)*(-3 - t + 3) + 2 + 2*t - 2 + (15 - 15 - 8*t)*(13 - 7 - 3).\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -6\/13 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 82317 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48821871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*n**3 - 480*n**3 + 4392*n**2 - 4392*n**2.\nAnswer: -608*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:43 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 19, b: 1}.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155953812?\nAnswer: 2, 3, 7, 941, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 3*j + 1. Let o = -10 + -7. Let b = o + 15. Calculate c(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 85*n**3 - 56*n**2 - 31*n + 21. Is v(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -967 = -246*d + 174*d + 1337 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16014 - 15943. Solve -2*g = -j + 11, -2*j - 5*g = 94 - v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + p = -4*i - 16, -5*i = p + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1876 and ((-15)\/5 - -9)\/((-35)\/(105\/(-2)))?\nAnswer: 16884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6824289*l**3*v**3 - 3*l**3*v**2 - 3*l**2 + 66*v**2 + 124 wrt v?\nAnswer: -40945734*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-15))\/7 + (-431)\/(-10). Let f = -43 + u. Suppose -f - 9\/4*z**2 + 7\/4*z + 5\/4*z**3 - 1\/4*z**4 = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/5 + 12*f\/5 + 3.\nAnswer: -3*(f - 5)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1934335 and -1\/13?\nAnswer: 1934335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/8 and (234\/(-375))\/((-8)\/10).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4\/3 (c) 5 (d) -23.1 (e) 38\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.404 - 7.404. Sort 37, -0.5, l, 0.01 in ascending order.\nAnswer: -0.5, 0.01, l, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/65 - 44620\/(-65). Calculate the highest common divisor of g and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 - (-2236)\/(-18). What is the units digit of -2 + 3 - q\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/2 - 93877*y - 16342167\/2 = 0.\nAnswer: -87, 187841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 10048, 2 in descending order.\nAnswer: 10048, 69, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n\/n**7*n*((n\/((n\/(n*n*n\/n**(-9)))\/n))\/n)\/n*n*n**(-2\/17)*(n\/(n\/(n\/(n*n*n**(2\/7)*n))))\/n assuming n is positive.\nAnswer: n**(666\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-15)\/5)\/3. Suppose -20 - 44 = -z*c. Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 14*h - 30. Suppose -2 = -3*v + 10. Suppose -3*d + 27 = 5*i - 7*i, -5*d + v*i = -43. Let n be b(d). Solve -n*j + 7 = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 12 = -3*g. Put g, -3, 0 in decreasing order.\nAnswer: 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1167531 = 28*p + 136543. Let b = -2651171\/72 + p. What is the common denominator of b and 53\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 3. Let l be a(5). Let v be 1\/l - (-30)\/12. Let k be (-6)\/v - (-96 + 3). What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 5, -103582, 4 in ascending order.\nAnswer: -103582, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + (1 - (5 - -9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = n + 288. Suppose -n + 23 = -5*l. Calculate the smallest common multiple of (-1 - 0\/1) + 5 + 6 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 7*s + 75. Let q be o(-6). Let g = 13 + -7. Let i = 10 - g. Put -0.4, q, i in ascending order.\nAnswer: q, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56\/1133 or -1?\nAnswer: 56\/1133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3527\/56 + 468\/7. Calculate the common denominator of -65\/64 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*s + 167, 3*s + 3 = -0. What is the remainder when 22\/x*318\/(-4) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2663280*p. Let v(h) = -18*h - 7. Give q(v(g)).\nAnswer: 47939040*g + 18642960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 7*h**2 - 64*h + 492. Let z be j(8). Solve -z*m + 6*m + 152 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -45. Suppose -5*p - v = -10*p. Solve 10 = -p*t + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17214 + -1396.\nAnswer: 15818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/104)\/((-223)\/446)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 729317466*z**3 + 3*z**2 - 20581*z + 158 wrt z?\nAnswer: 4375904796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-7) + (-12)\/(-42). Suppose 9*i - b*i = 0. Solve i = q - 1, -5*q = -2*o + 5*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -3 - (21 - 19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 2, h: 1, g: 2, l: 1}. Give prob of sequence sgsl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 4*l - 1 = -7*n, -5*l = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-6))\/(-16)*30\/2*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20320864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-3 + 2 + 3)*(0 + 3 + 6)*(0 + 0 + 2*w).\nAnswer: 72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-27 + (-22)\/(-22))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3809267 is divided by 138?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214 + 214.1. Let u = 105 + -108. What is the second biggest value in r, 5, u, -52?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q + 1. Let j(n) = -25*n**2 - 15*n + 15. Give -15*b(k) + j(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q = 50. Let h = 11 - q. Is -2\/61 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113.22 - -85.43. Round o to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-5)\/(-125)*100\/1900.\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 25. What is r(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = 6. Suppose 2 = -4*t + 5*t. What is d in 12*d**t - 3*d**3 - 2*d**p - 12*d + 2*d**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**8\/336 + 2*k**7\/105 + k**6\/24 + k**5\/30 + 319*k**2. Factor j(x).\nAnswer: x**2*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214403?\nAnswer: 7, 109, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15. Let g = 187 - 187. Suppose 3*i - 40 = -f*h, -5*h + g*h + 2*i = -50. Calculate the greatest common divisor of 25 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3322 and 1208?\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/((48\/42)\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(8\/3)*86. Differentiate 32 + 43 + 24 + 84 + 3 + s*b**4 with respect to b.\nAnswer: 1032*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -55. Let k(m) = -m**3 - 2*m**2 - m - 3. Let y be ((-6)\/(-4))\/(-1)*2. Let q be k(y). What is the highest common factor of p and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 7. Let a be y(6). Let w be (-4)\/(-16) - (-2)\/(-8). Let v = w - -2. Put 4, v, a in ascending order.\nAnswer: a, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:06 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332149877 by 14441299.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2792 and 132238892.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12412 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/28)\/f*f*f*f**(1\/5)*f assuming f is positive.\nAnswer: f**(303\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose -o*m - z = -7, z - 9 = -3*m - 2*z. Is 1\/2 - (-258)\/m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5076 and 46548.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 4 - -6 - (-18 + 39 + -16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*q + 1866 + 444 = -46*q for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97633634?\nAnswer: 2, 7, 6973831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 68 = -f. Suppose -f = -4*a + 84. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -102*h**3 - 360*h + 333. What is the first derivative of f(d) wrt d?\nAnswer: -612*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1344 - -103?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Suppose -d = -2*u + 10, -4*d - 2*u - 4 = -14. Let p(m) be the second derivative of d*m**2 + 0 - 1\/2*m**3 - 2*m. Calculate g(p(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, b: 1, r: 3, t: 2}. What is prob of sequence bt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12152 divided by -4.\nAnswer: -3038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43153 - -9968318\/231. Find the common denominator of c and -115\/462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1994 divided by -1994.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 less than 0.2?\nAnswer: -716.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxxzqhxhqklzxlzxxz. Give prob of sequence xzq.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*u + u + 45. Solve -u - 1 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krw when three letters picked without replacement from {k: 1, c: 1, w: 1, j: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 0*q + q - 71805 + 39*q**4 + 71806 in the form r*q + z*q**4 + c*q**3 + i*q**2 + l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-1\/13)*(q*q\/(q\/(q**(-1)\/q*q)))**(3\/22)*(q*q\/(q*q\/(((q**(-1)\/q)\/q)\/q))*q)**(-6\/13)*q**(-4)\/q**3 assuming q is positive.\nAnswer: q**(-74\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 + 72*l - 337. Is 13 a factor of z(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/63 - 7)\/(2\/75 - 0). Which is the second biggest value? (a) 4 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*f = 10, -20014*f + 22 = -5*w - 20011*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = 6*c + 4*b, 5*b + 15 = 0. Let z(l) = l**3 + 7*l**2 - 9*l - 11. Let s be z(-8). Put s, c, 5 in decreasing order.\nAnswer: 5, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198305 divided by -2333?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d = -299 + 529. Solve o = -d*q + 11, -3*q - 4*o - 156 = -166 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpz when three letters picked without replacement from bpzpppb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t - 2*j - 27 = 0, -2*j + 29 = 5*t. Suppose t*c - 4*c = 3, 5*x = -c + 211. What is the greatest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(120)*6)\/(sqrt(1210)*3*3) + 1.\nAnswer: 1 + 12*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 9*p + 12. Let h be v(10). Is h*(-508)\/8*-5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rooooooooooor. What is prob of picking 2 r and 1 o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 9\/4 (b) 1\/2 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -255 + 218. Let m(r) = -r**2 - 71*r - 60. What is the thousands digit of m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2218916, 8875648, 19970194, 35502554?\nAnswer: 55472728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r**3 + 4*r**2 - 795*r - 1609. Calculate b(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 287303 - 143788 - 143482.\nAnswer: p + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -15450201?\nAnswer: -15450132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r**(1\/2)*((r**(2\/19)*r*r)\/r)\/(r\/r**(-2\/3)))**(-2\/5))**(-1\/10) assuming r is positive.\nAnswer: r**(-47\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33, -62, -75, -66, -29, 42, 153, 310?\n\"Answer: h**3 + 2*h**2 - 42*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 401407063?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from kgksc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 3. Calculate b(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/9 - 9) + 20. Solve 0 = 5*v - 5*z + j, -3*v - 5*z = -14 - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*t = -101*t + 4586 - 419 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - o + 206 = 0, -o = -f + 72 + 126. Suppose -9*k = -11*k + f. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7567652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -62138 times 7?\nAnswer: -434966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64408015 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/54 - 4*f**2\/9 - 397*f. Factor a(i).\nAnswer: 2*(i - 2)*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 106. Let q be z(0). Suppose -4*k - 8 = -0*k, 0 = 5*c - 2*k + 21. Is q + c - (-2)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((-45)\/(-21)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(2 + sqrt(931) - sqrt(931)) + 0 - -2*(sqrt(931) - (sqrt(931)*1 - sqrt(931))**2)*-1) + 1.\nAnswer: -5 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**5\/5 - 231*n**4 + 144198*n**3\/5 - 5686752*n**2\/5 - 11959584*n\/5 = 0.\nAnswer: -2, 0, 91, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2175\/4 + 542. What is the common denominator of x and (-590)\/246 + -2 + 4?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j - 1266 = 52*s, 3*j + 3292 = 5*s + 3217 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**31*k**20\/k*k**(-7)*k**(-1\/4) assuming k is positive.\nAnswer: k**(171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p**3 - 23*p**2 - 9*p + 6. Let t be s(3). Solve 10*d - t = -35 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -83372946, -83372958, -83372972, -83372988?\n\"Answer: -k**2 - 9*k - 83372936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:12 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4317 and 25529299?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -16. Differentiate 9 + 11*n**3 + 0*n**3 - 4*n**z with respect to n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {i: 4, k: 1, l: 2, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - m - 41 = -3*x, 0 = -m + 4. Suppose y - 204 = -4*k, 4*y - x*y - 5*k = -1005. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 - 5*f**2 + 7*f**2 + f**2. Let t(a) = 5*a**2 - 2 + 13*a**2 - 4 + 1 + 2. Give t(x(r)).\nAnswer: 72*r**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -121?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-1*5\/20). Let j = 31 + y. Let z = -0.3 - -0.1. Which is the nearest to j? (a) 1\/5 (b) z (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -512445 (base 13) in base 8?\nAnswer: -7153551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*1)\/sqrt(10) + -4*sqrt(1872).\nAnswer: -47*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 + 6*p - 5. Let k(x) be the second derivative of x**5\/20 - x**3\/6 + x**2\/2 + 24*x. Calculate -4*k(h) - o(h).\nAnswer: 2*h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -10 + 21 - 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*c - 14. Let o(f) = -f + c*f**3 + 1 + 6*f**3 - 12*f**3. List the prime factors of o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29103 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - 1.9. Let z = 148.6 + -148.7. What is the nearest to u in 0, -8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f. Let u(s) be the second derivative of 25*s**4\/4 + 164*s. Calculate u(o(h)).\nAnswer: 675*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 36*u**5 - 132*u**4 + 1621*u**3\/15 + 117*u**2\/10 + 2*u\/5 + 416. Determine p so that l(p) = 0.\nAnswer: -1\/30, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136*f**2 + 52*f**2 - 109 - 125*f**2 + 20*f**2 with respect to f.\nAnswer: -378*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -450 + 13501\/30. Let d(x) be the third derivative of 5*x**2 + 1\/210*x**7 - o*x**5 + 0*x**6 + 0 + 0*x**4 + 1\/6*x**3 + 0*x. Factor d(t).\nAnswer: (t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11970 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2735 - 3.2. What is f rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 93 = -88. Let h = -0.3 - -0.6. Which is the closest to -0.1? (a) h (b) i (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, -5, -150?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1 = 11, 2*j - 5*w + 6 = 0. Let l be (-12)\/(-18) - (-14)\/6. Find the third derivative of -p**l + 3*p**2 - 2*p**j + 3*p**3 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762 (base 8) in base 4?\nAnswer: 33302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 7:35 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + ((-30)\/35)\/(1\/(-21)). Let p = 33 - x. Let t be (-2 - -1 - p)*-4. What is t rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -298, -607, -914, -1219?\n\"Answer: u**2 - 312*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*a + 29125 = 64*a. Let q = -1635 - a. What is q rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 22 + 8*h - 77276*h**2 - 1.\nAnswer: -77276*h**2 + 8*h + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -13*f + 12. Let h(s) be the third derivative of s**4\/4 - s**3 + 1768*s**2 + 1. Give 7*h(q) + 3*k(q).\nAnswer: 3*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**4 - g. Let t = 0 - -4. Let u(d) = 2*d**4 - 2*d. Let j(k) = t*u(k) - 3*n(k). Find the second derivative of j(a) wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3837 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/14 - 62\/4. Suppose -21 = -t - 5. What is the remainder when t is divided by (-4 - (g - -4)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -252 + 272.2. Let k = 33.178542 - 12.9785563. Let x = k - p. Round x to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*n - 5*u = 208*n + 218*n + 55, 0 = -10*u + 20 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 12) + (0 - 1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**3 + 28*u**2 - 90*u - 5. Let z be r(4). Suppose -20*n = -22*n + 10, k = -3*n + z. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 16*l + 9. Let n(s) = 51*s**2 - 733*s. Calculate x(n(k)).\nAnswer: 816*k**2 - 11728*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 373 + -402 - (1 + -65)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:45 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 0 + (2706\/2460)\/((-2)\/(-12)). What is the nearest to 1 in -0.1, 2, h, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 13 - 4 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -6\/7, 0.3, 2, 0.8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154880029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1)\/(8\/(-184)). Suppose -b*h - 3 = -24*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*h - 0*c - c, -4*h - 11 = -c. Let r be 2\/3*(-6)\/4. Let i(l) = l**2 - 5*l. Let z be i(5). Sort z, r, h.\nAnswer: h, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - w - 1. Let t(z) = -11*z**2 + 2*z + 19. Calculate -6*b(r) - t(r).\nAnswer: -r**2 + 4*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -0.8.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, 1705 in ascending order.\nAnswer: -11, 1, 1705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/10 and 305\/(-6)*(-1)\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 + -144. Solve -11*o = -n*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 40 = -l. Let x be (0\/(-3))\/(4\/4). Solve -o + x = -l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/4)\/((-26)\/104). Let w be (2\/i)\/((-4)\/28). Put -6, w, -17 in ascending order.\nAnswer: -17, -6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285.76 + 327.76. Sort m, -2, -4\/23 in increasing order.\nAnswer: -2, -4\/23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9 + 10 + 3 + 19*a - 9. Let o be v(-6). Let x = 107 + o. Calculate the smallest common multiple of x and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 0 = -a - 2, -14 = 5*a + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**2 - q - 2. Calculate the remainder when 81 is divided by i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**7\/630 + 7*k**6\/1080 + k**5\/180 - k**4\/72 - 11*k**3\/3 + 1. Let f(v) be the third derivative of w(v). Factor f(h).\nAnswer: (h + 1)**2*(4*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-4)\/(-20))*(-28 + -3 + 41)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1591.645 millennia?\nAnswer: 159164.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 51.8005s?\nAnswer: 51800.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 + 2*o**2 - 3*o - 4. Let l(r) = -7*r**3 - 3*r**2 + 5*r + 9. What is -5*g(d) - 2*l(d)?\nAnswer: -d**3 - 4*d**2 + 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 15 - 2*i**3 - 29.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127261287 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 4*d. Suppose -i + 2*j = -10, -i + 6 + 4 = -4*j. Let w = -7 + i. Let f be r(w). Solve 2*c = f*q + 10, 0 = -4*c + 2*q + q + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 1. Suppose -45 - 15 = 5*v. Let t(l) = -l**2 - 14*l + 11. Calculate the remainder when t(v) is divided by h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b64a1 (base 14) in base 16?\nAnswer: -17205d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 31*z**2 + 5 - 21 to the form m + v*z**2 + o*z and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y\/(y*y\/(y*y\/((y**(2\/7)*y)\/y)))*y\/(y**(2\/13)\/y))\/(y**0)**47)**(-2\/23) assuming y is positive.\nAnswer: y**(-44\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42916*i + 20146 with respect to i.\nAnswer: -42916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0333*1110\nAnswer: -36.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**4\/12 + f**3 + 22*f**2. Let s be t(1). Let k = 0.14 + 0.26. Put k, 0.3, s in descending order.\nAnswer: s, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33641\/452 + -7930\/113. Factor 4*p + 1\/4*p**2 - d.\nAnswer: (p - 1)*(p + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 4*d**2 + 4*d + 1. Let a be h(3). Suppose -8 - a = -2*t. Suppose -b = b - t. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 11. Let b(i) = i**3 + 8*i**2 - i + 3. Let f be b(-8). Let u = w + f. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590775896 to the nearest integer?\nAnswer: 24306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 24*x - 18*x + 20*x - 14*x to j*x + a*x**2 + l and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 + 21*a + 1. Calculate the lowest common multiple of m(-11) and 39.\nAnswer: 4875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -0.778, 0.3 in decreasing order.\nAnswer: 141, 0.3, -0.778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 1059506*m + 1059508.\nAnswer: -2*(m - 529754)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*s + 19*s + 320406. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7035482 - 0.02.\nAnswer: -7035482.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/(-350))\/3)\/(18\/(-30)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -5, 26, -37.\nAnswer: -37, -5, -2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230086529, -230086526, -230086535, -230086562, -230086613, -230086694, -230086811, -230086970?\nAnswer: -230087177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -1\/10*g**5 + 15\/4*g**4 - 98*g + 105*g**2 + 25 - 253\/6*g**3. Factor x(k).\nAnswer: -(k - 14)**2*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13*3*(-2 - -3). Let j be 6*6*(131\/1310 - (-37)\/30). Factor -12 + j*l**2 - w*l**2 - 3*l**3 + 0*l**3.\nAnswer: -3*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/420)\/(1\/6). Which is the closest to r? (a) 170 (b) 1 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883690486 a multiple of 2841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 7*i**2 - i. Let g(y) = -7*y**3 + 20*y**2 - 4*y. Let t(r) = -3*g(r) + 8*p(r). Let v(s) = 45*s**3 - 35*s**2 + 35*s. Give 35*t(c) - 4*v(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -23*c + 59 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 430123?\nAnswer: 430102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1376 - -1387) + -1 + -41?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23479261 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: Two letters picked without replacement from {i: 9, b: 1, t: 1}. Give prob of picking 1 i and 1 t.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**6 + 78*g**5 - 122*g**2?\nAnswer: 360*g**3 + 4680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 38*c + 2542317. Let s(g) = 2*g. Give u(s(n)).\nAnswer: 76*n + 2542317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3 + 0 - 25*d + (-2 + 0 + 8)*(2 - d - 2).\nAnswer: -31*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24dd - -27?\nAnswer: -24b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9*f = -120. What is the highest common factor of f and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from {u: 1, s: 1, o: 3, f: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 3*h**4\/4 + 6*h**3 + 98*h**2 + 136. What is the second derivative of l(n) wrt n?\nAnswer: 18*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/13 - 14738*k**4\/13 - 27316*k**3 + 1797508*k**2\/13 + 47232290*k\/13 - 261549554\/13 = 0.\nAnswer: -19, 7, 7393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 5*x + 4. Suppose 5*p - 4*z - 5 = 11, 5*p - 2*z = 8. Suppose 0*j + 4*j - 12 = p. Determine i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -47. Let k = 25 + l. Let o(u) = 3*u**5 + 9*u**3 - 6*u**2. Let r(s) = 3*s**5 - s**4 + 8*s**3 - 5*s**2. Let z(t) = k*r(t) - 5*o(t). Factor z(w).\nAnswer: 3*w**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 3*q + 9. Let r(x) = -3*x**2 - 4*x + 14. Let n = -331 - -336. Determine n*r(g) - 8*k(g).\nAnswer: g**2 + 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0201 - 0.2201. Let c = -0.2 - -0.16. Let m = -1 + 0. Sort c, g, m in descending order.\nAnswer: c, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3*t + 3*t)*(-33*t**3 - 4*t**3 + t**3 + 2*t).\nAnswer: 72*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24971675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from gssggggggssgssgsssss.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ae (base 16) to base 6.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 976*p + 33135. What is the hundreds digit of l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20817908 is divided by 1301118?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times -0.03033?\nAnswer: -0.0048528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.05 to 1 dp.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 0*a + 2*a)*(0 + 0 - 2)*(-94 - 20 + 28) in the form p*a + v and give p.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 4*p**2 + 2*p + 4. Suppose 7 = b + 4. Let a(d) = -d**3 + 4*d**2 - 4*d. Let x be a(b). Give z(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -26, -3, 2 in ascending order.\nAnswer: -26, -3, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 2 - 36)*(-2*l**4 + 1 - 1) - l**4 - 2 + 2 + (0 - l + 0)*(-3*l**3 - l**3 - 2*l**3).\nAnswer: 37*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1.62, -0.2, -0.1, -35\/4 in increasing order.\nAnswer: -35\/4, -1.62, -0.5, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 - k - 1. Let q be i(-1). Let j be (q + 1 + -1)\/2. Suppose 3*m + 4*s = 226, j*s - 78 = -m - 2*s. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) -0.4 (b) 2\/19 (c) 316 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2123 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.363 - -0.037. Which is the fourth biggest value? (a) g (b) 2 (c) -1\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14796971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + (-24)\/(-9). What is the third derivative of -1780*r + 1780*r - 10*r**2 - 21*r**q wrt r?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*a*c**2 + 20493307*a*c + 560107*c**2 wrt c?\nAnswer: 22*a + 1120214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100122 (base 3) in base 14?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 617*a**2*h**3*l**2 - 9*a**2*h**3*l - a*h**2*l - 2*h**2*l wrt l.\nAnswer: 1234*a**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*t + 8 = 0, -2*q - 3*t - 6 = -14. Suppose 268 = q*g + 88. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6330.318l to millilitres.\nAnswer: 6330318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, -4, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1683 (base 9) in base 13?\nAnswer: -783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a factor of 3412473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-3)\/(-18)). Let v = i + 6. What is the closest to 0.2 in -2\/3, 4, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.3 and 3656?\nAnswer: 23032.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 371 - 357. What is the remainder when 63 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfpf when four letters picked without replacement from {p: 2, f: 2, n: 6, d: 2, u: 3}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238*x - 111 + 111)*(x + 0 + 0 + (-3 + 3 - 2)*(0*x + x - 2*x))*(8*x - 19 + 19).\nAnswer: -5712*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7125085.\nAnswer: 5, 11, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 4*d**3 - d**3)*(-83*d**2 + 117*d**2 + 212*d**2).\nAnswer: 246*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 11*h - 13. Let x be z(-6). Let l = 19 - x. Solve t = -l*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (68\/(-459))\/(2\/(-36)). Suppose 4\/3*o**2 + s + 4*o = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*g**2 - g**3 - 174*g**2 - g**3 - 91*g**2.\nAnswer: -2*g**3 - 325*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 30414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 2*h = -d - 424, 4*d - 6 = 5*h - 66 - 37 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 0*k**2 + 0*k**4 + 10*k + 3 + 0*k**3 - 7\/5*k**5. Differentiate y(r) with respect to r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -3874?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/33 + (-14)\/(-6). Factor -1\/3*x**4 + 0 + 1\/3*x**s + 0*x**2 + 0*x.\nAnswer: -x**3*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b - 3. Let a(k) = -11*k + 3. Let q be a(6). Suppose -z - 4*c - 83 = 0, -4*z - 15*c = -19*c + 212. Let u = z - q. What is v(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 times 48.8\nAnswer: 2049.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -l + 3, -3*c - 1188 = 3*l. Let o = c + 757. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2275093 is divided by 55490.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*y**2 - 1196*y**2 + 597*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 193028*z - 772176.\nAnswer: 4*(z - 4)*(z + 48261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6*m*m**(-27)*m*m*m**(1\/55)*m**(7\/10) assuming m is positive.\nAnswer: m**(-1901\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2924*g + 2926*g - 90 = 0. Solve 5*l + 4*c + g = 0, l = 2*l + 3*c + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 + 3*b**4 - b**4)*(5 - 6 + 4).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3192*w - 1757 with respect to w.\nAnswer: -3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278373 times -2?\nAnswer: -4556746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9))\/((2\/3)\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(-1\/34)\/(f**4\/f)**(-45))**(9\/5) assuming f is positive.\nAnswer: f**243","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 974, 1031, 1058, 1043, 974, 839, 626, 323?\n\"Answer: -2*a**3 - 3*a**2 + 80*a + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 44*a**2 + 327*a - 207. What is o(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 - k + 218 + 78 - 36*k**2 - 188 + 38*k**2 + 125.\nAnswer: 2*k**2 - k + 549","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 486\/5. Let l be (-9)\/(-4)*14\/126. What is the nearest to l in -3\/7, 10, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/11172 and -107\/59850?\nAnswer: 837900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-184)\/(-161))\/(2\/7). Suppose 3*o = 3*g - 351, 56*o - 59*o + 433 = a*g. What is the highest common divisor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k - 26. Let i(q) = -14*q + 79. Let n(h) = 3*i(h) + 8*z(h). Let c be n(14). Let l(r) = -3*r + 1. Give l(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 + -107. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p**3 + 7*p**2 - 422*p + 7. Let u(b) = b**3 - b**2 - 1. Determine -t(a) - 7*u(a).\nAnswer: a**3 + 422*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014452 (base 6) in base 14?\nAnswer: 26c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 - 114. Let m = g + -130.7. Round m to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 11321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-354)\/20 - (96\/(-8) + 5) and -47\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7031, -7153, -7275?\nAnswer: -7397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5414613 - 5414613 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6*(-3)\/(-12)*50 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -3. Let u = a - 4. Calculate the common denominator of 51\/4 and (14\/24)\/(u\/34).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/265460 and 109\/2150226.\nAnswer: 21502260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {l: 5, p: 2, a: 1, v: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62.194 + -0.106. Let v = -0.055 + 62.055. Let p = v + o. Which is the nearest to 0.1? (a) p (b) 2\/17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3\/2 - 297*x**2 + 53067*x\/2 - 26235 = 0.\nAnswer: -265, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -25 - (-53 - (19 - 75))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - 5*m**3 + 3*m**4 - 34*m**3 - 2 + 2 - 2*m**4 + (-1 - 3 + 6)*(-1 - m**4 + 1) + 4*m**4 - 2*m**4 - m**4.\nAnswer: -m**4 - 39*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*c - 452, 124 = -3*z - 3*c - 206. Let d = z - -116. Solve -3*o - d*t = -4 + 1, 3*t - 2 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 422, 634, 846?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + 18. Let f = 46 - r. Let j(s) = -1. Let n = -4 - -8. Let p(h) = h + 2. Give f*p(w) + n*j(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148278 is divided by 344.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = -2*p. Calculate the remainder when 1*-1 - p - (-52 - 12) is divided by 0 - -3 - (-11 + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*i - 5 + 12, -g = 3*i - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12 and -67\/2049618.\nAnswer: 4099236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*o - 88784, 38*o + 44374 = 2*z + 42*o. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3190?\nAnswer: -1\/1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/8)\/(2\/(-40)). Suppose 0 = 5*s - b + 115. Let g = 30 + s. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 35991*q. Let u(i) = 530*i**2. Determine h(u(b)).\nAnswer: 19075230*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - j)*(75 - 32 - 48 - 410*j).\nAnswer: 410*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a - 5*f - 46 = 0, -3*a + 79 = -5*f. Let z = a - 14. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:15 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 187*a**2 - 1362*a + 185978. Calculate k(189).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 4. Suppose -s - 2*w = 5 - 22, -w = -4*s + 77. Calculate the greatest common factor of h and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 70*p**2 - 454*p - 15. Give y(-9).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-224)\/7*(-2)\/4. Let w = q - 10. Find the second derivative of -6*k - 19*k**3 + 19*k**3 + 0*k + w*k**4 wrt k.\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 6, -y - 34*x = -33*x - 10 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*f - 210 = -222*f. Which is smaller: f or -216\/7?\nAnswer: -216\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -310 + 7*f + 616 + f**2 - 312. What is w(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j - 155 + 283 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, n: 12}. What is prob of picking 1 x and 2 n?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41 and 176.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t + 3*t)*(-7*t + 48 - 106 + 54).\nAnswer: 7*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y - y - 15 + 3*y)*(y**3 + 4*y**3 + 2*y**3) to the form k + i*y + j*y**2 + r*y**3 + v*y**4 and give r.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 821342 or 821344?\nAnswer: 821342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -85, -178, -361, -664, -1117, -1750, -2593?\nAnswer: -3676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38864.34 millimeters to nanometers.\nAnswer: 38864340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -2.527?\nAnswer: 75.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -12 - 1 - (-530 + 510).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 a when four letters picked without replacement from {a: 1, q: 1, x: 1, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 29 + 181 = 0. What is the greatest common divisor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:14 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/3, 0.28, 0.218927?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -4 (c) 1\/3 (d) 3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-1183))\/((-6)\/354) - (-3)\/(-39)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1080\/11 - -98. Let r be 2\/5 + (-16064)\/(-40). Let i = r - 398. Sort m, i, -0.1, 2.\nAnswer: m, -0.1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-2))\/((-4)\/(-10)). Let y be (-8)\/(-14)*7\/2. Suppose 5*c - y*z + 41 = 101, -z - 5 = 0. Calculate the greatest common factor of c and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 2*f**4 + 0*f**3 + (-2 + 2 - 2*f)*(-3 + 3 - 2*f**3) - 6*f**4 + 2*f**4 - 4*f**4)*(-6 + 5 + 0).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 20*n**2 + 24*n + 10. Let r(q) = -q**2 + 8*q - 1. Let i be r(10). Let l be y(i). Is -52 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 14. What is the third derivative of 4*m**2 + 5*m**2 - x*m**3 - 3*m**2 - m**2 wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/7)*r**(-3)*r)**10)**(-24))**(-4\/9) assuming r is positive.\nAnswer: r**(-1280\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.88846m in micrometers?\nAnswer: 84888460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*s + 22523 - 53095 + 23313 = 0 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4684990043?\nAnswer: 12421, 377183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 45*m - 42. Let w be s(-46). Suppose 3*i = -0*i - w*i. Solve -c - 10*c - 11 = i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 6*c**2 - 6*c - 5. Suppose u + 6 - 1 = 0. Let p be b(u). Factor -14\/9*i**4 - 8\/9*i**5 + 2\/9*i**2 - 4\/9*i**3 + 0 + p*i.\nAnswer: -2*i**2*(i + 1)**2*(4*i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -449 + 437 - (-27 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cft when three letters picked without replacement from ccft?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 85 = -3*x + 3*h, 0 = 3*x - 2*h - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364670.\nAnswer: 2, 5, 36467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/5)\/((19\/(-95))\/(5\/(-15))). Suppose 2*o = 5*f - 15, -3*f - 9 = -4*o - 4. Find the second derivative of 22*v - 2*v + 39*v**o + j*v wrt v.\nAnswer: 780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2835646 is divided by 2835632.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4172000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -d?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(135)\/(sqrt(9)*-1))\/(-2*sqrt(3)*5).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 13*x = -1603200. Round x to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 5*h**2 + 2*h + 3. What is the remainder when 71 is divided by l(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2607261 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.43 and 29202?\nAnswer: -41758.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.56664 litres to millilitres.\nAnswer: 29566.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 10\/9, 1\/4, 172, 0.2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -54454691.407+-2546.9\nAnswer: -54457238.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9 - 7*t - 3*t - t**2 - 4*t. Determine i(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 34*s - 541. Let m be a(-46). Let l = -91 + 92. What is the smallest value in -1, m, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -532, -1775, -4202, -8209, -14192, -22547?\nAnswer: -33670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6*y - 10. Let t be c(-7). Let x = -619\/2142 - -1\/306. What is the biggest value in t, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(-1 + 2 + 3)*(2*k**2 + 0*k**2 + k**2) + 3*k**2 - 5*k + 5*k as l*k**2 + z*k + v and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -418.\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (48\/5)\/(17440\/98100)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38013 divided by 14?\nAnswer: 38013\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f + 2\/5*f**2 + 1\/15*f**3 - 1\/3*f**4 + 2\/25*f**5 + 8\/75*f**6 - 1\/21*f**7 + 0. Determine g, given that x(g) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*q + 46, -5*i + 50 = -4*i + q. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 4*o + 4. Let q be 3 + -20 + 13 - -4 - -1. Let f(v) = v**2 - v + 1. Let t(z) = -z + 4. Let y be t(6). Calculate q*u(j) + y*f(j).\nAnswer: 3*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 6*f + 160. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let d(g) = -28*g. Let w(o) = o. Let s(x) = -2*d(x) - 40*w(x). What is t(s(a))?\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 24*h - 2. Let z = 988 + -976. Give t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 27 = 4*l, -8*v + 189*l + 2 = 194*l - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 25017.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 - a + 15. Let s be p(0). Let g = 5798 + -5663. What is the greatest common factor of s and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwxwggwgwh. Give prob of picking 1 x and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -312081, 2\/15, -5 in descending order.\nAnswer: 2\/15, -5, -312081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694134 to the power of 1\/2, to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1875 + -5554\/3. Let d be 2 - (1 + 98073\/24). Let h = d + 4080. Calculate the common denominator of v and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 32 = 4*u, -13*u + 2*l + 22 = -17*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16898, -16917, -16948, -16991?\n\"Answer: -6*a**2 - a - 16891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 65*c - 32 - 6*c - 12*c + 4*c + (3 - 3 + 2)*(4*c + c - 3*c) in the form s*c + a and give s.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 5*o - 7. Let b be f(5). Let x(m) = -11*m + 330. Let l(a) = 13*a - 398. Let k(j) = -5*l(j) - 6*x(j). What is k(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmmmmbmmtbmtmm. What is prob of sequence mb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c + 5*r - 80, 3*c - 71 = -r. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*z**3 - 17*z**3 + 149*z**3 - 67*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21220 divided by -5\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 303 - 179. Let v = b + 1807. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380549208 divided by 11076\nAnswer: -34358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/28)\/(2\/30088) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939*b - 33656 - 74350 = -210*b for b.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-2))\/((-16)\/1368). Suppose 3*p = 3*m - s, 2*m - p + 75 - 305 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2. Let u(i) = 11*i - 2 + 2 + 1 - 44*i. What is u(y(j))?\nAnswer: -66*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 5977?\nAnswer: -597d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - 6*o**3 + 4*o**3)*(-1 + 1 + 2*o) - o**4 + 3*o**4 - 4*o**4 + (0 + 3 + 0)*(-70*o**4 - 164*o**3 + 164*o**3).\nAnswer: -216*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 15, 2*v - 36 = -4*y. Let u be (-4)\/10*15\/v. What is the biggest value in u, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulh when three letters picked without replacement from rlrrurlh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 633 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g - 138. Suppose 0 = -3*a + 9, -w + 48*a = g*a + 121600006. Round w to the nearest one million.\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -10. Let r(x) = -3*x**2 - 7*x - 15. Let b(f) = 3*f**2 + 6*f + 14. Let d(m) = n*b(m) + 3*r(m). Is d(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 5. Let v be f(-5). Let p be 10\/2 - (v + 1). Let r be (-2)\/44*p + 0. Which is bigger: r or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 - 5331*h**3 - 15966*h**2 + 12*h + 21288 = 0. Calculate h.\nAnswer: -1774, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115722\/127 or -911?\nAnswer: -911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 54 - v**2 + 70 + v - 124.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 10*b**2 + 10*b - 6. Let d = 1888 + -1879. Determine s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 3)*(-16)\/32. Let b(h) be the first derivative of m*h**2 - 3 - 2\/3*h**3 + 0*h. Let j(z) = -6*z**2. Calculate b(j(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-10)\/75 - (-128)\/60). Do u and -26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.463949 to 1 dp.\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84251 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179 - -182. What is the smallest value in 0.2, z, -0.2, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28579 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/19 (b) 2\/9 (c) 5 (d) -2\/311 (e) 15 (f) -0.3 (g) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1895723\/475 - 3991. Suppose 0 = -3*o + 5*o. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (24 - (6 - -7)) + -7 + 3 + -1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(5*((-16)\/(-40))\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16927*b**4 - 2978*b - 2 wrt b.\nAnswer: -203124*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 23 = 2*v, v + 3*v - 5*z - 31 = 0. Suppose 3*p + 9 = 21. What is the second derivative of -p*f - f**v + 3*f**4 - 3*f - 8*f**4 wrt f?\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, 34619413, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v - 23. Let c be p(-6). Let y be -1*c - (7 - 12). Solve 5*d + g + 50 = -y*g, 0 = -5*d + 5*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:04 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -22 + (9 - (2 - 6) - 7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 3. Let a(d) = 2*d - 2. Let z be (-12)\/(-39) - 10675\/(-2275). Calculate z*g(k) + 6*a(k).\nAnswer: -3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.8 + 7. Let w = 11.76 - 12. Let k = s + w. What is k rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*l = -315*l - 66 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137005 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10951 = 236*k + 180*k + 27175 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 65*z**2 + 649*z - 1261. Give a(-74).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 21*b - 19*b)*(-3*b - 2*b + 4*b) + (-3*b**2 + 5*b**2 + 4*b**2)*(-3 - 1 + 3) in the form a*b + t + g*b**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3*n, -n = -3*y - 814 + 822 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/47091, -6, 2\/5, 0.04, -1\/5 in descending order.\nAnswer: 2\/5, 0.04, 2\/47091, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 34 = -7*o + 2*b, 23497*o - 35 = 23501*o - b for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33097 and 27515119?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 13*h + 2. Calculate the smallest common multiple of t(-13) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0.45. Which is the smallest value? (a) 2 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1 + (sqrt(363) - (sqrt(363) + sqrt(363) + (-1 + sqrt(363) - sqrt(363)))) + (-1 + sqrt(363))*-5 + -4)*-3)**2.\nAnswer: -7128*sqrt(3) + 117936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8801 + 8797. Suppose g = 6*g. Put g, 5, h in decreasing order.\nAnswer: 5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.41 + 0.41. Let g be ((-1)\/(-5) - -1)\/((-12)\/(-15)). Which is the second smallest value? (a) n (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + 3*q - q)*(-742*q**2 + 8476*q**2 + 74*q**2) to t*q + g*q**3 + c*q**2 + p and give g.\nAnswer: 39040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 4. Let l be t(-3). Let o = l - -22. Suppose 2*y = 71 - o. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/((-1)\/2))\/(6\/(-12)). Solve -m - 6 = -n*p, -m = 5 - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 128\/12 - (-1)\/3. Suppose 0 = 5*x + 2*m - r, 0 = -3*x - 5*m + 2*m + 3. Solve -6 = -5*l + f, -l - 18 = -4*l - x*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p - 2*r, -2 = -5*p - 3*r - 3. Does 12 divide 16 + 1 + p + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64841 and 121989.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - 0)\/(4\/(-16)*7) + (-846)\/1974. What is q in -1 + 2*q**t - 39\/8*q**4 - 3\/4*q + 47\/8*q**2 - 5\/4*q**5 = 0?\nAnswer: -4, -1, -2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) 12 (c) -0.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/4 - 139*p**3\/6 + 86*p**2. Let w be h(21). Is w < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6*(-8)\/(-12). Let v = 59 + -62. Let n = -63 - -253\/4. Which is the closest to z? (a) n (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, f: 1, j: 1, u: 1}. Give prob of sequence fujw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**5 - 1126*q**4 + 4*q**3 - 440*q**2 - 2*q + 2.\nAnswer: -60*q**2 - 27024*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 10\/(60\/18). Let p be (7 + n\/(-1))\/3. Factor 0 + 1\/5*s**3 + 1\/5*s**p + 0*s.\nAnswer: s**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = 29 + 43 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4878.74 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178324135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78354 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -25385166610300.\nAnswer: 25385166610299.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -265*w**6\/3 - 459*w**2\/2 - 519. What is the second derivative of l(b) wrt b?\nAnswer: -10600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 4*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6601601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 0. Let k be -2 - ((-25)\/h - -1). Let w = -3 - -3. Is k greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435 = 227*n - 181*n - 255 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 1832588*y + 12828018.\nAnswer: 2*(y + 7)*(y + 916287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 - -107. Let d(o) = -o**3 - 27*o**2 - 33*o - 42. What are the prime factors of d(j)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 36*l + 12)*(59 + 47 - 35)*(-1 + 0 + 3) in the form m + h*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqvt when four letters picked without replacement from {t: 1, z: 1, n: 1, q: 2, v: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3)*((-53)\/10 + 5). Let j = -3.1 - -3. Which is the closest to j? (a) 4\/5 (b) q (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -372 * -1.546442.\nAnswer: 575.276424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 26 + 70 = 0. Suppose 16*g = -k*g + 5180. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**(-1\/15))\/r))\/r**39)\/(r**(7\/3)\/r)**41 assuming r is positive.\nAnswer: r**(-463\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-20)\/(-8) + -2). What is the units digit of 282\/12 + 1\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 12. Let w = g - 8. Suppose -5*y + 4*h - 7 = -2*y, -2*h + 6 = -2*y. Put 0.1, w, y in decreasing order.\nAnswer: w, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 130\/78*(-18)\/(-20)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188517875 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8197\/24 + 342. Let q(f) be the third derivative of 0 + 0*f**3 + 7*f**2 - 1\/30*f**5 + 0*f + y*f**4. What is the second derivative of q(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1612 - 2384. Let t = 1673 + m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 1, 8, -53.19, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10253 - 6700. Suppose 3*n = -d - 3317. Is (12 - n)*(1 - -1)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5 - 30*j**4 - 111*j**3 - 192*j**2 - 156*j - 48 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2. Let j(m) = m**2 + 1353*m. What is j(t(i))?\nAnswer: i**4 + 1353*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7915849 a multiple of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19582 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -2*f**5\/15 + 73*f**2. Let k(w) = -7*w**2 + 5*w. Let g(d) = 20*d**2 - 14*d. Let v(m) = -5*g(m) - 14*k(m). Calculate v(t(z)).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**6\/30 + s**5\/10 + 7*s**2\/2 - 1. Let a(u) be the second derivative of h(u). What is the third derivative of a(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9630794 times -5?\nAnswer: -48153970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (140\/(-8))\/(-7)*974 - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 153, 177, 207, 243, 285?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from cuduluuicii.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**4 - 6*q**2 - 16*q + 6. Let z(t) = -t**2 + 1 + t**4 + 785*t - 785*t. Let x(a) = -s(a) + 3*z(a). Find the second derivative of x(i) wrt i.\nAnswer: -48*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 - g. Suppose -4*n = -3*b + 13, -5*b + n = -0 + 1. Let o be h(b). Let u be ((-5)\/(-3))\/(3\/o). Is 4 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssmj when four letters picked without replacement from jsmcskxscjkssscks?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**10*a))\/(((a**(-1\/5)\/a)\/a)\/a))\/(a**(-2\/15)*(a\/(a*(a\/a**(-8))\/a*a))\/a) assuming a is positive.\nAnswer: a**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 10) to base 2.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/20 - 2*s**4\/3 - 19*s**3\/6 + 19*s**2\/2 - 21*s. List the prime factors of p(11).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/37)*u)\/u)\/u*u\/u**(-2\/15)*u*u)**(3\/2) assuming u is positive.\nAnswer: u**(862\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 15*g**2 + 6*g + 4. Let p(x) = -x - 1. Let h(b) = 5*p(b) + s(b). Let n be h(1). Solve -n = c - 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57927*1492.\nAnswer: 86427084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 1. Let c be a(1). Let v be (c\/3)\/(2\/(-4)). Let y be (0 - 2) + 8 + v. Solve -y = 5*z + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4481 is divided by 249.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 1825315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -50499 smaller than -50499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1\/5, 0.5, 509705 in decreasing order.\nAnswer: 509705, 0.5, 1\/5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2376 by 12.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.01 (c) -2\/5 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r**2 - 4 - 6*r**2 - 23*r**2 + 3*r - 19*r**2 + 3 as j + c*r + d*r**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.113 - -2.09951. Round n to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*g - 8*l + 3*l, -3*g + 22 = 4*l. Let o be (g\/3)\/(6\/18). What is the highest common divisor of o and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -80 + 5?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + 17\/(935\/197851080) + (-12)\/33. What is p rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + (-65 - (48 - 42)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*v + 6*d, -72*v = -70*v - 5*d - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:48 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + (-120)\/(-28). Let y = -20 - -23. Are y and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:42 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24633 is divided by 4925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3749354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 - 9*o + 14. Let n be y(3). Let t = n + -34. Let k(f) = 4. Let i(w) = w + 9. Calculate t*k(c) - 3*i(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 283844210 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 7 = -9. Let g(a) = a**3 - 5*a**2 - 7*a + 9. Let d be g(6). Suppose 4 + 2 = j*p + q, d*q - 3 = -3*p. Solve 5*r = 3*t + 10, -p*t = -6 - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -307.0324?\nAnswer: -307.0324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*y**3 - 41*y**3 - 2 + 5 - 4 + 20*y**3.\nAnswer: 80*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*((-26)\/6 - 5). Let n = y - 19. Let a(u) be the second derivative of -u**4\/12 - 7*u**3\/6 - 5*u**2\/2 + u. What is a(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 418265163.2 to the nearest one million.\nAnswer: 418000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -815\/348 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84797, -84793, -84775, -84737, -84673, -84577, -84443?\n\"Answer: a**3 + a**2 - 6*a - 84793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:12 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212002 (base 4) to base 3.\nAnswer: 10100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -33*q**4\/4 - 131*q**3\/3 + 92. What is the third derivative of k(j) wrt j?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52b (base 12) in base 9?\nAnswer: -1028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from qqoqjjoqqj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 9*x + 108 = 0. Suppose 12 = -3*s, -3*o + x*s = -4*o + 2442. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 27 = 3*x - 5, -x = 3*s + 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -105*r + 49*r + 3 + 56*r - 22*r**2. Let k(g) = 265*g**2 - 35. Give 3*k(w) + 35*y(w).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(-2*k + 3*k + 5*k + 0*k + 0*k - 2*k + (-1 - 2 + 2)*(-4*k + 2*k + k) + k + 0 + 0 + 0*k - 2*k + k + 2*k + 0*k - 3*k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4858673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -268511 divided by 6133\nAnswer: -268511\/6133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -523\/22230 - 19\/1170. What is the common denominator of g and 35\/33?\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -626 take away 0.07?\nAnswer: -626.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {y: 1, g: 2, t: 1, c: 1, i: 1, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 133419509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 744052*o.\nAnswer: 4*o*(o + 186013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-13)\/2 - 1)*(-52)\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -690.4 + 690.398601. Round b to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 - 998 = -8*m. Calculate the greatest common factor of m and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**8\/20160 - o**7\/840 - o**6\/120 - o**5\/12 - 10*o**2. Let a(d) be the third derivative of v(d). Give a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (33 - 49\/7)*(-5)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f*f*f\/(((f\/((f\/((f\/(f**(1\/3)\/f))\/f))\/f*f))\/f)\/f))**(-9\/5) assuming f is positive.\nAnswer: f**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikppkdgh. What is prob of picking 1 g and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**29\/((f**(-3\/14)*f)\/f))\/((f*f\/(f**(5\/6)*f)*f)\/f)**0 assuming f is positive.\nAnswer: f**(409\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 22321773 + 22321773.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 40*k - 325.\nAnswer: 5*(k - 5)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*z - 71 = 3*z, -z = 4*u - 58. Let j be -6*(1 - u\/9). Suppose 0 = 4*n - j*l, 3*n - 12 = -2*n + 2*l. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13376.7 - 13981. What is s rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 51. Let d = 42.6 - b. Let n = 2 - 2. What is the closest to n in -1, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.128227 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 15 + 5. Suppose -y*z + 387 + 1678 = 0. Suppose 3*u + 4*u = z. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 23. Sort b, 1, -3 in ascending order.\nAnswer: -3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5052 and 648.\nAnswer: 272808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53483 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35031, -35030, -35029, -35028, -35027, -35026?\n\"Answer: b - 35032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 10. What is the third derivative of 0*f**2 + 4*f**5 + f**j + f**5 - 6*f**5 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - k)*(-3*k**2 - 3*k**2 + 4*k**2) + 2*k**3 + 3*k**2 + k - 2*k**2 - k**3.\nAnswer: 5*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:55 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 0*n + 0*n - n + 3*n - n + 4 - 4 - 2*n + (6 - 3 - 1)*(2 - n - 2))*(-231 - 244 + 132) in the form a + b*n and give b.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7209, 14515, 21813, 29103, 36385, 43659?\nAnswer: 50925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507701.\nAnswer: 3, 11, 23, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(3 + -1 + sqrt(17) + sqrt(17) - (-1 + sqrt(17) + 1)) - sqrt(51)\/(sqrt(36)\/(sqrt(48)\/sqrt(4)) + sqrt(3) + sqrt(3))*-1)*4)**2.\nAnswer: 5120*sqrt(17)\/3 + 84032\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 66 - 60 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25c + -1299?\nAnswer: -1528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7900)\/32560 - (0 + (-2)\/8). Let b = w - 7\/37. Let d = -0.2 + 0.15. Sort 2\/13, d, b.\nAnswer: b, d, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7530911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415.4 + -333.4. What is the second smallest value in w, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or -66?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13033604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**6\/210 - z**4\/84 + 6*z. Let v(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 76 + h**3 + 2*h + 4*h**2 to x*h**2 + p*h**3 + b*h + w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12960241.\nAnswer: 7, 1851463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 7*d + 10*d. Solve d = 3*q + k - 7, 0 = -q + 5*k - 1 - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, p: 3, w: 2}. What is prob of sequence wx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = 0. Suppose 236 - 281 = 5*t, -5*b - t + 41 = 0. Solve -4 - 14 = i + 3*z, d = -5*i + 5*z + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -739*a - 19. Let r be d(-1). Suppose 0 = p - 5*t + 6*t - r, 2*p = -3*t + 1437. What are the prime factors of p?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**4 - 459*k**2 + 281285 wrt k.\nAnswer: 8*k**3 - 918*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9256 and 62656?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-192)\/(-4 + 2) - -3. Calculate the greatest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/9))**(5\/14)*((a\/a**0)\/a)**(-31) assuming a is positive.\nAnswer: a**(-25\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 2*u)*(-2*u**3 - u**3 + 2*u**3) + 2*u**4 + 3*u**4 - 3*u**4 - 24*u**3 + 7*u**4 + 24*u**3 + (u**3 + u**3 - 6*u**3)*(1 - 1 + u).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**3 - 486*k**2 - 110*k - 961. Determine a(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 + -74. Let k = n - 63.999881. What is k rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10487 (base 11) to base 12\nAnswer: -8984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-6) - 22\/33. Suppose 3*n - n - 8 = 0. Suppose -2*g + 1 = -n*z + 3, 4*g = -3*z - 4. Which is the nearest to -1? (a) w (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbfb when four letters picked without replacement from bfxbbxxbbfbbfbfbmbbb.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 4. Let m(t) = 6*t - 11. Let y(a) = -11*i(a) - 4*m(a). What is the least common multiple of 22 and y(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*v - 269, -2*w = -4*w - 2*v + 598. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6261087 * 44\nAnswer: 275487828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3718424033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*t**5 + 0*t**5 - 5*t**5 - t**2 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1759542005 + -271?\nAnswer: -1759542276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23629, 23624, 23615, 23602?\nAnswer: 23585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1731, -4, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -67*c**3 + 1 - 3*c**2 - c + 1 - 2. Is h(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446.4414ng to tonnes.\nAnswer: 0.0000000000004464414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04214768 rounded to 5 decimal places?\nAnswer: 0.04215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 40*v**4\/19 - 316686*v**3\/19 + 1187190*v**2\/19 - 1424482*v\/19 + 553938\/19 = 0.\nAnswer: 1, 7\/4, 39567\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646087?\nAnswer: 13, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 73*f**2 - 16*f - 57. What are the prime factors of m(-6)?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 39. Let z be 3*(-3 + q\/(-6)). Let g be (1 - 4)*5\/60. Which is the nearest to z? (a) 0.5 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4148108770?\nAnswer: 2, 5, 13, 31908529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3\/5)*f*f)\/f)\/(f**7*f))**19 assuming f is positive.\nAnswer: f**(-722\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*f - 261*f = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4102251 (base 6) to base 4\nAnswer: -233211313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0*u)*(0*u - 3*u + 2*u) - 3*u**2 + 0*u**2 + 2*u**2 + (2 + 0 + 0)*(u**2 - 2*u**2 - u**2).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 25. Solve 2*h - 4*o = 4*h - 18, 5*o - i = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 10*x**2 + 10*x + 8. Let r be (36\/(-10))\/(4\/(-10)). Is 9 a factor of m(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i**2 + i - 1. Let w be r(3). Suppose -h + 232 = -2*b, w*h + 1130 = 7*h + 5*b. Suppose 3*x - h = 9. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 71, 138, 221, 314, 411, 506?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 14 + 14)*(-11*t**4 + 1 - 1763*t + 1763*t).\nAnswer: -451*t**4 + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b - 3 + 3 + (3 + 1 - 5)*(-b + b + b) + 2*b - 3*b + 0*b + 2*b + 2*b - 5*b)*(176 - 112 + 115 + (2 - 5 + 1)*(5 - 4 - 2) + 5 + 0 - 3).\nAnswer: 732*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0 + 6*k**2 + 15*k - 3\/2*k**3 + 1\/12*k**4. Let q be a(7). Is q less than -7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from {a: 4, j: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 11:58 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 14. Let z = m - 11. Let r(u) = -u**3 - u**2 + u - 1. Let a(v) = 2*v**3 + 9*v**2 - 6*v - 4. Let k(l) = -a(l) - 3*r(l). Give k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let r(p) = 5*p**2 + 8*p + 5. Let a(n) = 6*k(n) - r(n). Let d be a(9). Solve -12 = -3*y, -8 = -2*m - 5*y + d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**3 + 2*c. Let s(r) be the third derivative of -r**6\/120 - 569*r**2. Calculate i(h) + 5*s(h).\nAnswer: -11*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -2*w. Let c be (-14)\/(2\/(-2) - w). Let g(d) = 8*d**3 + 14*d**2 + 14*d. Let n(o) = -4 + 5*o + 4 + 5*o**2 + 3*o**3. What is c*n(b) - 5*g(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 4*y + 2. Let m be b(-3). Let k be (-1)\/(-1 - m\/2). Suppose 4*l = g + 97, -2*l + k*g = -2*g - 66. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 83. What is the common denominator of 5\/(n\/4)*-35 and 3\/(21\/38) + 2?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*16\/(-300))\/((-12)\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1663 + 1665. Solve 3*u + 9 = 0, -2*y = -l*u + 3*u + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*k = 11, 2*c - 13 - 1 = -2*k. Let n be -7*(c + -2)\/(-1). Let r = 18 - n. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 1) - 5 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 + 21*c + 90. Determine j(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 104 (b) 4 (c) -0.3 (d) 1 (e) -0.5 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176\/3*i + 7744\/3 + 1\/3*i**2 = 0 for i.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 5, -18, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -203134304?\nAnswer: -203134300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -40331 (base 7) in base 16?\nAnswer: -262d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -945 (b) -1.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2 - 188617*w\/2 = 0?\nAnswer: -188617\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 368\/11 - 360\/11*x + 84\/11*x**2 + 2\/11*x**3.\nAnswer: 2*(x - 2)**2*(x + 46)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 304, 456, 608, 760?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 61, -2, 11, -71, -3.\nAnswer: -71, -3, -2, 11, 25, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 3*y + 97, 4*y - 35 = -3*n. Calculate the remainder when n is divided by (-63)\/(-15) - (-4)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 14.66, -5, -2, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkrjmjrrjjjrrjrrrmur. Give prob of sequence rrku.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w - 2. Let x(q) = 64*q + 10. Suppose -2*l - 4*t + 20 = 0, 10*l = 12*l + 3*t - 23. Calculate l*o(j) + 3*x(j).\nAnswer: -16*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*z - 6 = 0, 5*p + 5*z = 1 - 11. Let s = -4 - -4. Let d be (-45)\/(s - 5) + p. Solve 3*r + d*o = 2*o + 3, 0 = -r - o - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 8\/293 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - (sqrt(176) + 3))*6 + sqrt(176) + -1 + 5)**2 - (-3 + sqrt(176) + 1 + 1 + -5)) + 5.\nAnswer: -116*sqrt(11) + 383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 o when four letters picked without replacement from oaaao.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 8*f + 60 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 + 105 = 10*a. Let i(p) = p**3 + p**2 + p - 3. Let x(t) = -7*t**3 - 12*t**2 - 4*t + 9. Let k(c) = a*x(c) - 6*i(c). Calculate k(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 98*z + 4 = 4*x + 50*z, 3*x - 8*z = 68 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 12*b**3 + 5*b**2 - 5*b - 266. Let t(j) = -5*j**3 - 3*j**2 + 3*j + 133. Let p(f) = -3*i(f) - 5*t(f). Differentiate p(m) wrt m.\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 7121712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -20. Which is the closest to -0.01? (a) -4 (b) o (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 7*m - 6. Let c be h(4). Suppose -6*s = -c + 6. Calculate the least common multiple of 12 and 9\/(1*((0 - -1) + s)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 9. Let c be (-2 + 1)*(f + -1). Let y = -9 + 11. Solve -y*l = 2*l, 2*r = -l + c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47*q**2 - 17*q**2 + 3*q - 20 + 65*q**2)*(-2*q + 2*q - q)*(-q + 3*q + 2*q) in the form l*q + d*q**2 + m + h*q**4 + c*q**3 and give d.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgcdgr. What is prob of picking 1 g and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34090314 to the power of 1\/2, to the nearest integer?\nAnswer: 5839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.26, 5\/3, -1\/4, -2\/7?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - ((20 - 13) + 4)) + -67 + (-3 - 3)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3169.611362 to the nearest integer.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.08 - -0.08. Let r be (-9)\/24*(2 + 24\/(-9)). Let g = -69 + 74. Which is the closest to r? (a) s (b) -7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m + 3. What is the lowest common multiple of m and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 59 + -25 - (-5 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155\/28 - 21\/4. Which is the closest to l? (a) -1 (b) 0.2 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(8 - 395 - 2). Suppose -f + 26 - 196 = 0. Let k = f + h. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 73*j + 28. What is the units digit of d(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17531646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31898731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135956 divided by -33989.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 1\/5 (b) 2\/7 (c) -5 (d) -4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(242)*-3 - (5 + (sqrt(242) - sqrt(242)*-3)))**2.\nAnswer: -1540*sqrt(2) + 47457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5233 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4970968 or 4970969?\nAnswer: 4970969","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (13 + (12 + 0 - (-12 + -53)) - 7).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14980*o + 59970. Give b(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -154*l. Let b be k(-1). Let s be 2 - -1 - b\/52. Let x = s + 6\/13. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/27? (a) 0.5 (b) -1 (c) -0.15 (d) -6\/41 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 552583005 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*10\/(220\/(-33))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5311*y + 5274*y - 444 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*r + 25, 3*r - 21 = l + 2*l. What is the smallest value in 3, -2, r, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1281*u + 221. Is x(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 71811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -7, -21, 36, 9, 5 in decreasing order.\nAnswer: 36, 9, 5, -1, -4, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 - 17 = 0. Suppose -3*p - j = -61. Calculate the remainder when 58 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -c + z, -3*z = 3*c + 39. Let w = c - -15. Which is bigger: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 2. Determine j(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vmmvvmmmmvvmmmmmmmmm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/3001 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 35 - 5 = 0. Suppose 4 = -t*z + 9. Let x be (-22)\/10 - (-1 - z). Which is the closest to -1\/4? (a) 9 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k - 3*k**2 - 6*k**2 - 16*k + 8*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x = 13*x - 432651 - 342357. Is x a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4\/2 + 10*p**3 + 25*p**2 - 70*p + 75\/2 = 0 for p.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 7*d + 17. Let u be y(3). Let r be 5\/(105\/(-23514)) + u\/77. What is r rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*w + 1. Suppose -13*m = -w*m - 3. Solve 0 = m*i + 2*t + 1 + 1, -2*t + 26 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1018602651 and 15?\nAnswer: 5093013255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose h = 11*h. Suppose -3*x + h + p = 0. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v**2 + v + (6*v - 3*v - v)*(-2*v + 2 - 2))*(0*v**2 + 2*v**2 + 4*v**2).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49, -219, -513, -937, -1497, -2199, -3049?\n\"Answer: -u**3 - 56*u**2 + 5*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 3*r + 3*r + (-4*r + 3*r + 2*r)*(2 - 3 + 3) - 4*r + r + 5*r + 0*r + r + r - 2 - 3 + 2*r + 7.\nAnswer: 10*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.11 or 60?\nAnswer: -18.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 + 1 = 0. Suppose -d*u + 10*u - 1680 = 0. What is u rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2010111122?\nAnswer: 2010111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 - 31*j + 43*j - 3*j - 7*j to p + b*j and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l - 26*l = 11*l - 133*l + 1426 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56381\/5464 or -9?\nAnswer: -56381\/5464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 355303\/3 equal to 118434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 9:11 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 5*o**9\/504 + 7*o**5\/60 + 3*o**2 + 3. Let l(y) be the second derivative of q(y). What is the third derivative of l(s) wrt s?\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 90, 214, 394?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8984110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -74. What is the units digit of -2 + a + 2 + 7 - -750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 17*j**2 + 25*j + 24. What are the prime factors of z(10)?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 9*k**2 + 11*k + 14. Determine y(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 102, 67, -2, -117, -290, -533?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5050*i - 4 + 497*i + 4 + 8669*i as g*i + o and give g.\nAnswer: 14216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoeoekhhekmeokreeh. Give prob of sequence he.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11339 - 18327 + 395 = -887*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-1)\/5*-5. Suppose v*p + 6 = 27. Suppose -p = 5*c - 22. Solve -12 = -0*j + c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69, -58, -57, -72, -109, -174?\n\"Answer: -u**3 + u**2 + 15*u - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((0 - -1)*-4 - -3)\/((-13)\/91858)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 1 (c) -0.1 (d) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/3 + 27*i. Let a(u) be the first derivative of -2*u**3\/3 - 1. Determine a(s(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 21 = -h, h - 2*z = -0*z - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 9*v - 70. Let q = 0 + 2. Suppose 3*c + q - 17 = 0. Solve -c*o + v - 40 = 4*w, 3*o = w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4\/8383505 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37303 (base 8) to base 4.\nAnswer: 3323003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/42*18\/(-15). Put 8, 1, y in ascending order.\nAnswer: y, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 333589700\/69*(4 - -26). What is a rounded to the nearest one million?\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 987 - 987 - 289*j.\nAnswer: -289*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/9587 + 2425501\/47935. Let b = u + -649\/15. What is the common denominator of b and 54\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-15) + (-280)\/150. Let o = h + 22. Calculate the least common multiple of 10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:27 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34343 and 10697?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58245 is divided by 5191.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/12 + (-3)\/(-6). Suppose -3*d + 0 + 6 = 0. Suppose 12 = 4*n - 5*s + 4, d*n + 5*s - 4 = 0. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5 + 3142*s - 3141*s + 0 + 4. Let q(l) = 7*l - 10. What is q(i) - 5*r(i)?\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 185*k**2 - 723*k - 4. What is j(4)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41726\/13 < 3211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b7b + -2218b?\nAnswer: -2614a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 27. Calculate the remainder when d is divided by ((-22)\/1)\/((-28)\/14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-4)*c*c)*c**(-1\/4)\/c)**(-1\/45)*(c**(-6)*c**(1\/3)\/c)**25 assuming c is positive.\nAnswer: c**(-30007\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - (10 + -5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 + (-201213)\/(-45))\/(4*(-3)\/(-30)).\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 + 2*w**3 + w**3 + (2*w + 2 - 2)*(7*w + 9*w**2 - 7*w).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -0.2528623 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 18 = -7*w. Suppose -v + 2 - 4 = 0, 5*v = -m - 6. Calculate the remainder when m is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b - 103 = -4*y, 0 = -3*y + 2*b + 79. Let n = -10 - -25. Let f be (n\/(-5))\/(2\/(-6)). Calculate the highest common factor of f and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 15*i**2 - 14*i + 13. Let k = -417 - -403. Calculate u(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1236 + -798. Suppose 0 = -2*s + 314 + i. Let z = s - -706. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -10 + -1 + 7 + 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Let u = -5 + -20. Let i be 5\/u - (-34)\/70. Which is bigger: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -303, -296, -285, -270, -251?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwn when three letters picked without replacement from {n: 3, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 7*((-4)\/(-7))\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + -2 + 0.\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3328 or -68819?\nAnswer: -68819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2436.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 216250 + -436?\nAnswer: 215511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2. Let w(c) = -12*c**2 + 37. Calculate w(o(s)).\nAnswer: -192*s**4 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*f, 23*f - 3*a + 81 + 23 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/11 (b) -153 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -4) + (-3060)\/(-34). Calculate the highest common factor of n and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2655 + -1018. Let x = i - 1636.992642. What is x rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -3*s + 2. Let o = -12 - s. Suppose -2 + 0 = l, -2 = -2*t - l. What is the least common multiple of o and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o**2 + 8*o - 1. What is the units digit of f(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.9 + 476.1. Let v = 533.8 - m. Which is the second biggest value? (a) -5 (b) 3\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1654313*n**2. Let d(v) = v**2. What is x(d(h))?\nAnswer: -1654313*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -31*m + 172. Determine a(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -l - 108, -5*l + 39 = 2*t - 33. What is the least common multiple of t and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.7, -13, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1534 in -3, -5, -0.3, -1372?\nAnswer: -1372","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (2 + 1 + -2). Let n be 1\/3 + (-5)\/(-3). Suppose n = -2*h + 8. Solve -2*k = 0, -u*o = k + h*k - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84342, 84339, 84336, 84333, 84330, 84327?\nAnswer: 84324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose x*q + 2*v + 6 = 0, -q = -4*v + 7*v + 4. Let z(a) = -a**2 + 4*a - 1. Let d(k) = -k. What is q*z(j) - 6*d(j)?\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1808 (b) 2\/3 (c) -4 (d) -52\/5 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*b - 577*b + 292*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.3403+0.1504\nAnswer: -2.1899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 8:01 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 - -212. Suppose x - 10 = p, 0 = 3*h + 4*p - 232. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-6)\/(-4))*(-480)\/64?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.36135 + 0.857674. Let w = f + 18.503932. Let p = w + -18. What is p rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Suppose 12 = a*i - 2*k, 3*i + 2*k - 3 = 2*i. Suppose -28 - 29 = -i*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p. Let c(x) = 5*x. Let q(l) = -2*c(l) + 3*u(l). Let z(y) be the third derivative of -y**5\/15 - 5*y**2. Determine z(q(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + q - 2)*(3 - 2*q - 402 + 5*q).\nAnswer: 3*q**2 - 387*q - 1596","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 703 - 56?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95 + 239 - 295)*(-1 + 4 - 1)*(-3 + 1 - 2)*(-2*n - 2 + 2).\nAnswer: -2416*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 11)\/((-27)\/(-18)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiknkccikcincni. Give prob of picking 1 k, 2 c, and 1 i.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629604*x - 24528 = -630042*x for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18348 by -6.\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1128 and 34028.\nAnswer: 204168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103033 is divided by 209?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, x: 1, r: 7, d: 1, c: 7}. What is prob of picking 1 n, 1 d, and 2 c?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 7 = 3*j. Let g be 4\/((-3)\/(-9) - -1). Suppose -2*a - g = -9. Which is bigger: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-536)\/(-14) - (-8)\/(-28). Let a = l - 10. Let o(y) = -y**2 + 4*y + 25. Calculate the lowest common multiple of o(7) and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 3:40 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {h: 1, b: 2, j: 7, i: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*r - 7 - 7. What is the biggest value in 2\/13, 0.01, -1, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705810.\nAnswer: 2, 3, 5, 7, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/n)**(1\/5) assuming n is positive.\nAnswer: n**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -1636 in decreasing order.\nAnswer: 7, -1, -1636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 2*y**2 + y + 1. Let q be z(2). Let i(c) = 4*c + 9*c + 3*c**2 - c**2 - q*c - 24. What is the remainder when i(4) is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14405869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/(11 + -42)*4*(-1 - 0). Let c = -163 + 255. What is the greatest common factor of o and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqii when four letters picked without replacement from {q: 5, i: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1793963, 1793964, 1793965, 1793966, 1793967, 1793968?\n\"Answer: f + 1793962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-26)*r)\/(r\/r**(2\/17)))\/(r\/(r\/(r*r**5)))**(-24))**(-2\/83) assuming r is positive.\nAnswer: r**(-4050\/1411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 9*t. Suppose t = -5*u + 20, 0 = 3*b - 0*b + 2*u - 185. Let y = b + -17. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 = -2*u + 7, 3*x + 6 = -3*u. Suppose -2*f - 298 = -2*p - f, -3*f + 447 = x*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (2 - (-5 - -1)). Let i(s) = s**3 + 2*s**2 - 3*s - 5. Let y be i(-3). Let t be 3 + y - (-4 + 2). Put 5, t, n in increasing order.\nAnswer: t, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 4*d + 3, 3*z + 3*d - 24 = 0. Suppose s = 4*s + 12, 2*s + 28 = -4*h. Let w = z + h. Solve 3 = 5*p - w*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-9) - 2\/(-3)) + 11. What is the highest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*b = 3*b + 4, 2*b - 8 = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**4\/2 + 68314*r**3 - 637545*r**2\/2 + 295994*r + 136614 = 0.\nAnswer: -1\/3, 2, 3, 45538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 550.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56, -169, -348, -593, -904, -1281, -1724?\n\"Answer: -33*s**2 - 14*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9*v = 0. Suppose -3*r + 6 = 2*y - v*r, 0 = 3*y - 4*r - 9. Suppose -7*n = -y*n - 236. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15073, -15076, -15079, -15082?\n\"Answer: -3*r - 15070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z = 5*f - 35, 2*f - 6 = 0. Suppose -w = -z*i + 77, -5*i - 2*w + 86 = -0*i. Calculate the remainder when 77 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*s + 12 = 0, -14*j - 5*j + 5*s + 28 = -16*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3384808 divided by 60443.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-192)\/120 + -4 + (-161)\/(-35). Let y = 0.4 - 0.2. Which is the fourth smallest value? (a) y (b) -26 (c) h (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10210 + 10205. Let w(z) = -z**3 - 3*z**2 + 4*z - 4. What is w(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*v + 4*q - 71, 0 = -v - 2*q - 24. Suppose -7 - 1 = 2*z, 5*z = 4*a - 120. Let u be v\/35 - (-5)\/a. Is 0 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**8\/280 - 3*w**7\/280 + w**5\/40 + w**3 - 5*w**2. Let j(m) be the first derivative of l(m). Factor j(a).\nAnswer: -3*a*(a + 1)**2*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/15 + 808*u**3\/5 - 558554*u**2\/15 + 1593188*u\/5 + 11812768\/15 = 0. Calculate u.\nAnswer: -2, 11, 296, 907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/7 + 1384*y\/7 - 48212\/7 = 0. What is y?\nAnswer: -1418, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*c = 226*c - 947 - 7888 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625835889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*r = 95*r - 36 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57045 and -6.\nAnswer: -57051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.71316 milligrams?\nAnswer: 0.00000271316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:36 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 - 3*d - 5*d**2 + 7*d**2 + 4 - d**3 in the form w*d + j + m*d**3 + k*d**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*q - 16414 + 2070 = -373*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltpco. Give prob of picking 1 p and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.211 + 126.789. Let h = 126.7 - w. Let j be (-25)\/(-10) + (-3 - -1). Which is the second smallest value? (a) -4 (b) -5 (c) h (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 41 - (6 - 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37668645.\nAnswer: 3, 5, 7, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3*d + 4*k - 4, 2*d - k + 1 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10\/u*u*u**(4\/15)*u\/(u\/u**37*u*u)*u**(20\/3)\/u assuming u is positive.\nAnswer: u**(764\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/300 + 21*v**4\/40 + 32*v**3\/15 - 658*v**2. Factor f(a).\nAnswer: -(a - 64)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 1850.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = -d. Let v be 1\/(-2) - 11\/d. Let k(g) = -6*g**2 - 3*g - 1 - v - g**3 + 0 - 3*g. Give k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306 - -1595. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 23*t + 73. Determine u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 + 2*r + 1. Let h be x(-1). Suppose -h*i = -8 + 2. Factor -4*v**3 + v**i + 3*v**2 + 5*v**4 - 3*v**2 - 2*v**5.\nAnswer: -v**2*(v - 1)**2*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 15*r**2 - 111 + 125 - 7 + 2*r**2 - 7.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83158 is divided by 440?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 23*r - 148 - 137 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {t: 2, d: 2, k: 9}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(4\/48)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*r - 1\/2*r**4 - 41\/2*r**2 + 8*r**3 + 0.\nAnswer: -r*(r - 13)*(r - 2)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 3, -6, 150, 14 in increasing order.\nAnswer: -6, 3, 14, 40, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1080 and 972.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {j: 6, e: 12}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {u: 1, m: 2, t: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-1 + sqrt(121))*-2*-5)\/((sqrt(176)\/sqrt(64))\/sqrt(4)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 1\/3 (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*l**3\/3 + 1426*l**2\/3 - 32*l\/3 = 0. Calculate l.\nAnswer: 0, 2\/89, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -10\/9, -5, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-6)*(13 + 774\/(-60)). Which is the second biggest value? (a) x (b) 0.4 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14d8a + -1?\nAnswer: -14d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from vvlv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000150074903 rounded to seven dps?\nAnswer: -0.0001501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*f = -69, 415 = 4*p + 3*f + 330. Let d(m) = m**2 + 5*m - 10. Suppose 4*x + 5 + 23 = 0. Calculate the smallest common multiple of p and d(x).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 805974.\nAnswer: -11\/805974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -40. Calculate the remainder when (44\/(-5))\/(8\/z) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) -0.2 (c) 4.33 (d) -31 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 12*z + 68. Let s be q(-8). Solve 14*l = 2*l - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11229728, 22459385, 33689042, 44918699, 56148356?\n\"Answer: 11229657*y + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130131 + 3033?\nAnswer: -121032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4*r*r**7*r)\/(r**(-3)*r\/(r**(2\/33)*r*r)*r))\/(((r*r\/((r*r**(2\/21))\/r))\/r**3)\/(r\/((r**(-1\/2)\/r)\/r)*r*r*r\/(r\/(r**7*r)))) assuming r is positive.\nAnswer: r**(4721\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -9 (c) -2 (d) -10 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242*k**3 - 2*k**2 - 125*k + 168 wrt k?\nAnswer: 1452*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5761, 2291, -3487, -11567, -21943, -34609, -49559, -66787?\n\"Answer: w**3 - 1160*w**2 + 3*w + 6917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i - 8*i + 3*i)*(i**3 - 1 + 1) + 4*i**4 + 3*i**4 - i**4.\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/4 - 7*c**3 - c**2\/2 + 14*c - 11. List the prime factors of x(-21).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94, -47, 16, 95, 190?\n\"Answer: 8*r**2 + 23*r - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*j*x**2 - 1450*j*x + 438430*x**2 with respect to j.\nAnswer: 83*x**2 - 1450*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*((sqrt(343) - (sqrt(343) + (sqrt(343) - (sqrt(343) + 4*(2 + sqrt(343))))))**2 - -1*(sqrt(343) + 1)**2).\nAnswer: 2772*sqrt(7) + 35375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17302783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/7)\/(452\/791)*(-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 18*w**3 - 781*w**2 + 780*w**2 - w - w to c*w**2 + o + t*w**3 + l*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 h when three letters picked without replacement from {h: 4, c: 11, a: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c**2 - c + 4. Let s = 83 + -72. Calculate the remainder when 32\/16 + s\/1 is divided by t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -7, -12, -17, -22, -27?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/16430267 or 1?\nAnswer: -2\/16430267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/7 + 16132*s**2\/7 - 2301536*s - 311955376\/7.\nAnswer: -4*(s - 2026)**2*(s + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**4\/24 + 2*m**3\/3 + 851*m**2. Let i be 4\/10 + 2\/(-5). Give a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2.08, 9, -0.1.\nAnswer: -2.08, -0.1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-11))**(-42))**(-10\/9))**(-12) assuming i is positive.\nAnswer: i**6160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)\/(m*m\/(m**(-1\/8)*m*m)*m))\/(m**(-3\/20)\/m**20) assuming m is positive.\nAnswer: m**(321\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51, -142, -281, -480, -751?\n\"Answer: -2*a**3 - 12*a**2 - 41*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 35. Let d = 3.9 - n. Which is the closest to -1? (a) 3 (b) d (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.448995 and -812.098?\nAnswer: 807.649005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(931)*-2*-3 + -3 + 4 + 1)**2.\nAnswer: -168*sqrt(19) + 33520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Let j(k) = k**2 - 3*k - 3. Let b be j(n). Solve 3 = -4*o - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, u: 2, c: 7}. Give prob of sequence ucp.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i + 42. Let n be j(0). Calculate the highest common factor of 721 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -702 or -701?\nAnswer: -701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/(333\/(-51)) - -86?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*v**4 - 139*v**3 - v**2 - 10070*v + 1.\nAnswer: 240*v**2 - 834*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189015 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*m + 2)*(0*m + 2*m - 3*m)*(4*m**2 - m**2 - 5*m**2) + (-4 + 4 + 1)*(-2*m**4 - 4*m**4 + m**4).\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5839\/9 + 649. Is -1\/20 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 21. Solve 0 = 3*g + n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3 + 2*b - 13 + 6*b - 26. List the prime factors of s(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2800200 by -116675.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.661182 litres to millilitres.\nAnswer: 661.182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00377309854 rounded to 7 decimal places?\nAnswer: 0.0037731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/2 (c) 3 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-8 + 10 + -31) - 129.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2))\/((-17)\/68). Suppose 4*u - x = 20. Let t(g) = 3*g**2 - g - 1. What is the remainder when t(3) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 7. Suppose 4191 = 9*s + 4155. Which is the fourth smallest value? (a) s (b) 0 (c) u (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -20*j - 7. Let h(x) = -19*x - 6. Calculate -6*f(i) + 7*h(i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24\/(-108) + (-1028)\/(-9) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -386 in 0, -4, 0.1, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -18*x**3 - 2*x**2 - 20*x - 2. What is the units digit of j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1723, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6*1\/(-16)). Suppose 2*q - t = -4. Solve q*k - k**3 - 3*k + 6*k**2 - 8*k**2 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**7\/84 + 7*j**6\/60 + 31*j**5\/40 - 7*j**4\/24 - 5*j**3\/2 + 1448*j. Let m(l) = 0. What is l?\nAnswer: -3, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128 - 643\/5. Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3. Let z = -171 + 168. Put 1, z, x in descending order.\nAnswer: 1, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, j: 5}. What is prob of picking 2 k?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*h**4 - 43339*h**2 + 6792139*h?\nAnswer: -1704*h**2 - 86678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74*4\/(-4)*9\/162*-3*-3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77270665 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254437.\nAnswer: 254437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -100113130211?\nAnswer: -100113130202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 41 = -4*d + d + 32, 1 = -5*d + 2*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**3 - 4*p**2 + 49*p + 257. Give b(-4).\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrxuwurpp. Give prob of picking 2 r, 1 m, and 1 w.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/45 + 4\/18. Suppose 29*w - 15*w - 2*w - 12 = 0. Put -3, z, -2, w in increasing order.\nAnswer: -3, -2, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3480 and 20.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.56 and -23.8?\nAnswer: -13.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.3 (c) 22.64 (d) 10\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 223.87 + -222. Let l = a + 0.03. Let o = l - 2. Put -0.3, 4, o in descending order.\nAnswer: 4, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 16. Let j(r) = 15*r + 15*r - m*r. Let d(w) = -3*w. Calculate j(d(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 10. Let x be t(7). Let u = -3 - x. Solve u = 2*g - 0*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:14 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-16)*(16\/(-10))\/((-1911)\/910)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*u**3 + 192 - 1595*u**3 + 52 - 1175*u**3.\nAnswer: -2362*u**3 + 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/8728 and -101\/98190.\nAnswer: 392760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -2*s + 2, -1690*g + 1693*g - 5 = -5*s. Which is the nearest to 3? (a) -0.1 (b) -7 (c) 2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1613.\nAnswer: 16130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19878 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: Evaluate (84 - 91) + (-14 - (-5 - 3)) + -110.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102950 is divided by 9358?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3685*w**2 - 121*w**2 + 1999*w**2 + 12026*w**2.\nAnswer: 17589*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1284*f - 2314. Let a be g(11). What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*u + u - 138, -4*h - 4*u + 300 = 0. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 33*h**3 + 2*h**2 + 2*h - 1. Let j(o) = -o**3 + o**2 + o + 1. Calculate a(v) - 2*j(v).\nAnswer: 35*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e (base 15) in base 6?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47776.31 millilitres to litres.\nAnswer: 47.77631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1750817710 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -1 + 0*u**4 - 163\/2*u**2 - 37\/30*u**6 - 9*u + 1\/5*u**5 + 0*u**3. Differentiate v(n) wrt n.\nAnswer: -148*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 221*s**2 - 219*s + 210. Determine x(-220).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 96\/(-20) - -3 - (-2)\/(-10). Put j, -3, -4 in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnsn when four letters picked without replacement from nnnssnnnsnn.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -19*p**4\/24 + p**3\/6 - 202*p**2. What is y(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 2*h - 10. What is a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**4\/5 + 14*b**3\/5 - 6*b**2\/5 = 0.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(sqrt(392) + 2*sqrt(392)))\/(((1*sqrt(96))\/sqrt(4))\/(sqrt(294)*-1)).\nAnswer: -1764*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1050*q**2 + 1384*q + 1518*q - 665*q**2 - 1301*q**2 + 750*q**2 wrt q.\nAnswer: -4532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -0*v + 2*v - 3598. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 180 = 5*m. Suppose -m*i - 25 = -31*i. Which is the closest to 0? (a) -10 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 29 = -q, -q + 3*q - 50 = 2*t. Suppose -3*v = -6*v + q. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2799090 divided by -7405\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1 - -1) + (-27 - -33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/45 and 35\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149330 divided by -5.\nAnswer: -29866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(5\/2))\/j**24*(j\/(j*j**(7\/5)))\/(j*j**30) assuming j is positive.\nAnswer: j**(-519\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 89.88 - 11494826\nAnswer: -11494736.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s - 127*s**2 - 8*s**2 + 2*s - 573*s**2 - 8*s.\nAnswer: -708*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**3\/3 + 4*z**2 - 8*z - 128. Let b = -12 + 16. Calculate the remainder when 46 is divided by x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/18 and 20\/387.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/26221 (c) 38\/3 (d) 0.2 (e) -3 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -4 + 8 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -73*j**4\/24 + j**3 + 48*j**2. Calculate the remainder when a(-1) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -564 + -2309?\nAnswer: -2872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -206, -428, -650?\n\"Answer: -222*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*p - 0*p. Let j(w) = w**2 + w - p*w - 5*w**3 - w - 1 + 3*w. What are the prime factors of j(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1529816 times -2\nAnswer: 3059632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.964*-2\nAnswer: 3.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 510463?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:51 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60843410?\nAnswer: 2, 5, 101, 107, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7809 - 8906 = 267*w + 22132 for w.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.22 * 1421520\nAnswer: 1734254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598217 is divided by 37385?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*q + 1, 3*q - 9 = 5*m - 14. Let s(n) be the first derivative of q*n**3 + 0*n**2 - 8 + 7*n - 1\/4*n**4. Differentiate s(a) with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2099136 by -16.\nAnswer: -131196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**4 - i**3 - i**2 - i + 1. Let l(g) = 2*g**4 - 2*g**3 - 4*g + 4. Let x(b) = -l(b) + 4*n(b). Factor x(q).\nAnswer: 2*q**2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-30) + (-75)\/(-125). Let d = 0 - 0.5. Which is the third smallest value? (a) o (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 z, and 1 m when four letters picked without replacement from vvvnzzvzvvnnvvvmvz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6020 and 34916?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 58 = 3*g, 0 = 2*j - 4*g - 56. What is the third derivative of -53*z**2 + 3*z**2 - j*z**5 + 25*z**2 wrt z?\nAnswer: -1920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82941, -165903, -248861, -331815, -414765, -497711, -580653?\n\"Answer: 2*g**2 - 82968*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 179.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*i - 2*q + 6, -8 = -i - q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 23329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 22 = -0*p + 5*p, -2*r + 5*p = -24 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -937 = -2*p - 207. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 54*v - 10. Let r(b) = 3*b - 1. Let w(x) = -m(x) + 10*r(x). Let k(h) = h**2. Determine w(k(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in -2\/5, 4, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/781 - -703\/30459. Let u(k) be the third derivative of 1\/390*k**5 - j*k**3 + 0 + 1\/156*k**4 - 12*k**2 + 0*k - 1\/780*k**6. Factor u(y).\nAnswer: -2*(y - 1)**2*(y + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 + 4*f + 17. Calculate o(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172*c**6 - 6*c**5 - 8*c**4 + 39047*c**2 wrt c?\nAnswer: -20640*c**3 - 360*c**2 - 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 6*y + 1. Let g(o) = 1. Let t(f) be the third derivative of -f**5\/30 - f**4\/24 - f**3\/2 - 29*f**2. What is y*t(k) - 4*g(k)?\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 8 - 13 + 13 = 0. What is the closest to m in 0.5, 30\/29, -0.1, -1\/6?\nAnswer: 30\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 173458254*u - 173458254*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (101 - -3) + -44\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3246, 6519, 9792?\nAnswer: 13065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 26*h - 7*h - 11*h + 9*h. Let p(d) = 2*d. Determine p(x(i)).\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.94273 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2 - 2)*(2*l**2 - 2*l**3 - 2*l**2) + 2500*l**4 + 61 - 60 - 230*l**4 as w + z*l**3 + s*l**2 + f*l + o*l**4 and give o.\nAnswer: 2274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101101000001 - 1?\nAnswer: 1010101101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 4544948*b**2 + 47 + 4544943*b**2 to m*b**2 + i + y*b and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/150*275\/(-110) and 1084\/660 + 4\/(-10)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 139\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -125516 divided by -4\nAnswer: 31379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -971036.\nAnswer: 2913108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 1. Let i(q) = -13*q**2 - 5*q + 19. Calculate 5*f(a) + i(a).\nAnswer: -13*a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54668123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4282 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/3, 5, -0.4, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 66*y - 3 - 3 - 2 - 76*y. Let z be w(-5). Suppose 4*p = 6 + z. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 0*j + 0*j - 2*j.\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-45)\/(-6)*(26 + (-2160)\/81))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1088, -1089, -1090?\n\"Answer: -j - 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -36. Let f be -5105*(40\/15 - i). Let x = -1719 + f. Calculate the common denominator of x and 83\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20209410 divided by 5382.\nAnswer: -3755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 347 + -8327\/24. Let m be 9\/(-6)*20\/(-15). Find the common denominator of (m + (-58)\/30)\/((-1)\/43) and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, e: 3, t: 2, u: 4}. What is prob of picking 2 e and 1 n?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 2, a: 3, d: 2, k: 9}. What is prob of sequence ky?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 16 - (-3 + (-46 - -41))) + 11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nedd when four letters picked without replacement from {q: 4, n: 2, e: 4, z: 1, d: 2, b: 6}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 11) + (45 + -51 - (52 - 1)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1899, -265 in descending order.\nAnswer: 4, -265, -1899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2. Let o(t) = -t**3 - 5*t**2 + 12*t - 12. Let a be o(-7). Let v(m) = 207*m - 207*m - 102*m**a. Calculate l(v(w)).\nAnswer: 20808*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/103138 and -127\/1908.\nAnswer: 1856484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (2 + -1 - -1) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.10042051745 - 5\nAnswer: -5.10042051745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.966684 milligrams to nanograms.\nAnswer: 5966684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 83 = 5*z - 4*u, -2*z - u + 28 = 0. Which is smaller: -279 or z?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ogoiihm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -649\/79 or -7?\nAnswer: -649\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7109412 less than or equal to 7109416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21444 and 2064.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14084*j - 14093*j = 36. Let d(s) = -s**2 - 7*s - 4. Let q be d(-6). Put j, q, 20 in descending order.\nAnswer: 20, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = o + 4*j, -2*j + 21 = o + 3*j. Let p be -3 - (-8 + (o - -1))*1. Solve p = 4*k - 0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2 - 4. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*x - 5*u, -4*u = -3*x - 0*x + 29. Suppose -g - g - x*t + 43 = 0, -85 = -5*g - 3*t. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -21*b + 924. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 f when four letters picked without replacement from fllffl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439088 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 - -39) + 1 - -1) + (-77 - (-14 + -63))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6*v**(1\/8)*(v*v\/(v**(-4\/5)*v))\/v**(1\/12) assuming v is positive.\nAnswer: v**(941\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128)*-1) + ((-2*sqrt(19))**2 - sqrt(19))*-3*-4.\nAnswer: -95*sqrt(19)\/8 + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0980254ng to tonnes.\nAnswer: 0.0000000000000000980254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*g = -3813678 + 715128. Is g a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**3 + 2968*d**2 - 4934*d + 1972.\nAnswer: -2*(d - 493)*(d - 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 712 (base 10) to base 9\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 552*n + 556*n + 75480 = 0, 3*n + 50322 = 2*c. What are the prime factors of c?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3444345 is divided by 450.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 22 in descending order.\nAnswer: 22, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2*o**3\/3 + 9. Let h(s) = s**3 - 3*s**2. What is 4*h(k) + 6*q(k)?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1080 and 1051677000?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6266 (base 10) in base 3?\nAnswer: 22121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**3 + 4*q**2 - 15*q + 36. Let z(k) = -5*k**3 + 5*k**2 - 13*k + 35. Let j(l) = -4*w(l) + 5*z(l). Does 21 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.098 - -0.098. Let k = 87.043 - 87. Let u = -0.057 - k. Which is the nearest to u? (a) z (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6726 and 30270363.\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91)*2)\/sqrt(7) - (sqrt(13) + -3*(sqrt(117))**2).\nAnswer: 2*sqrt(13) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2181*v - 2186*v + 95 = 10*g, 5 = v for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 58, 41, 6, -53, -142, -267?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 90*p**2 + p. Let j(u) = 2498*u. What is c(j(v))?\nAnswer: 561600360*v**2 + 2498*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 4*d - 2. Let x be z(5). Let n = 27 + -45. Let q be 3*(3 + -2) - n. Calculate the highest common factor of x and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w + 50 = 25*w. Sort 0.2, w, 5, -18.\nAnswer: -18, w, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icu when three letters picked without replacement from cfuwi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 2*s - s + 3 + 2*s - 3 + (-1 + 1 - 2*s)*(1 - 1 - 1) - 290*s + 617*s - 394*s.\nAnswer: -61*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 228 + -229.4. Let a = 1184.8 + -1185. Put -1, -2, q, a in decreasing order.\nAnswer: a, -1, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3688994 (base 10) to base 6.\nAnswer: 211022402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) 4 (c) -1\/4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18597112 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -59 + (-5 - (7 - 27) - 11)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 10. Let b be r(-6). Suppose 0 = -5*v - b*i + 3*i + 45, 2*v - i = 18. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-31))))\/m**0)**(-22\/7) assuming m is positive.\nAnswer: m**(660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/3 + 714\/(-396) and (-166)\/(-32) + (-4)\/(-8)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h + 4*i, 0 = h - 4*i + 7 - 1. Find the first derivative of h*m + m - 4*m - 3 wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60700*g**3 - 37*g - 6*g + 36*g + 7*g.\nAnswer: 60700*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1680 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -54 - (27 - -6 - 70)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -54, 25, -44 in ascending order.\nAnswer: -54, -44, -23, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6125*r**4 + 1400*r**3 + 1320*r**2 - 160*r - 80 = 0.\nAnswer: -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13232 + 11?\nAnswer: 13243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53374?\nAnswer: 2, 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 d, and 1 p when four letters picked without replacement from pdydpypypyyyydydxd.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 50*w\/11 + 108\/11.\nAnswer: -2*(w - 27)*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f + 0*f - 1080 + 2343 - 1103.\nAnswer: 10*f + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(188100\/(-500))*6\/35?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 832798*c*o**2 + 7*c*o + 41*c - 53*o - 12 wrt o.\nAnswer: 1665596*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 613\nAnswer: 122.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -32.83. Let i = z - -0.222. Let l = 0.0621 - i. Round l to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, g: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 6. Is t(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.07 - -0.07. Let p = -5 - b. Let y = 1013 + -1013.4. What is the closest to -0.1 in y, p, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179\/2 - -90. Let c = 1712 - 1708. What is the nearest to -186 in c, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 32*b + 1558. Let o(i) = 951*i. Give o(f(c)).\nAnswer: 30432*c + 1481658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - u - 7 - 3 + u**2 - 1 to the form q*u**2 + w + h*u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - 0.87. Which is the closest to n? (a) 3 (b) 3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j - 63 = 0. Let d be 387\/(-2)*(-280)\/j. What is d rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 122911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w - 6. Let j be 0 + (w\/4 - 1). Suppose 3*h = -0 - 6. Which is the nearest to h? (a) 0 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = -30. Let c = p - -25. What is the highest common factor of 35 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*m**4 - 239*m**2 wrt m.\nAnswer: 2832*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 178908 - 5.\nAnswer: 178903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15401 or -15383?\nAnswer: -15401","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8057*q**6 - 9725*q**2 wrt q?\nAnswer: 966840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 2.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41449 is divided by 13779?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214470 divided by -21447.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -36, 0.64, 5, -7\/3.\nAnswer: -36, -7\/3, -4\/3, 0.64, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 13*a - 5. What is m(8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -200342214 (base 5) to base 14\nAnswer: -16921c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535770 is divided by 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 162 = 393. Calculate the smallest common multiple of c and 89.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4 and 143\/44796.\nAnswer: 44796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 9*t**2 + 7*t - 6. Let f = -1126 - -1118. What is x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -7*r + 116. Which is the closest to r? (a) -2 (b) 3\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 129*w + 4536. Let f be a(-48). What is the highest common factor of 104 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-12) + 95\/(-114) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((1*sqrt(105))\/sqrt(3))\/(6*sqrt(30)\/sqrt(6)))**2 + -3.\nAnswer: 79\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -303\/4 + 76. Let o = -0.77 + -4.23. Let n = 1.962 + 0.038. What is the second biggest value in n, 1, o, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (5 - (-2 + 1)). Suppose -3*r = a*z - 10, -4*r = 3*z - 4 - 2. Suppose 4*q - 4 - 20 = r. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -31*(5 + -4 - (-2 - -2)). Calculate the common denominator of 26580\/1240 - 2\/d and -29\/39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 121*u + 46162 = 119*u, 0 = 4*p + u - 36914. List the prime factors of p.\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y - y)*((1 + 1 - 1)*(-45 + 48 - 45) - 1 + 2 + 1)*(1 - 1 + 2*y).\nAnswer: 160*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 1, v: 2, n: 1, y: 1, a: 1}. Give prob of sequence dny.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 11*o + 19 = -95. What is the remainder when 2960 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*p = 300 - 1230, 4*l - 3752 = 4*p. Is 941 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c + 204. Let t be w(29). Let q(f) = f + 5. Let k(x) = 1. Calculate t*q(l) - 4*k(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2092876995 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Suppose -90 = -4*r - 3*m, 4*m = -0 + 8. Suppose 2*q - y*q = -r. Solve -2*z + q = 5*a, 5*a = 4*z + 6 + 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4 + 2556*n**3 + 79704*n**2 - 1488544*n + 5515008 = 0 for n.\nAnswer: -43, 6, 8, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*a + 2805095 = 265*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2400\/11 + (0 - (-10)\/(-55)). Suppose 3*f = a + 256. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281\/6 - 319\/6. Let l be 17\/(-340)*5\/7302. Let t = l + -603619\/379704. What is the common denominator of t and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15565, -15575, -15591, -15613, -15641?\nAnswer: -15675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 22*i**2 - 6. Suppose 3*q - 5*h = -56, 0 = 2*q + 2*h + 29 + 19. Determine c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -1628.\nAnswer: -19\/814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 - 76. Suppose -m + 39 = 5*g + 12, 0 = 2*m + q*g - 19. Is (-6263)\/(-7) - (0 + m\/(-7)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-70)\/(-4)*(-125 - 1). Let m = k + 3350. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -743 = -736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*p + 0 + 39\/8*p**3 + 3\/8*p**5 + 9\/2*p**2 + 9\/4*p**4.\nAnswer: 3*p*(p + 1)**2*(p + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2\/39, -0.26 in decreasing order.\nAnswer: 8, -2\/39, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zufz when four letters picked without replacement from {f: 1, k: 1, l: 2, z: 2, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404858 is divided by 918.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -2 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -60660\/23 at least -2636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 2 = 2*h, h + 4*k - 14 = 0. Let m = h + 2. Let p be m\/(-10) + 126\/15. Solve -2*q = -4*d - p, 0 = 2*d - 2 + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyyuyuuuuuuuyuyyuyyy. Give prob of picking 2 y.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6051869 bigger than 6051870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i - i**2 + 1 - 7*i + 15*i as c*i + u + x*i**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 338 - 264. Let h = -64 - u. What is h rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**5 - 548*a**4 + 72293*a**3 + 760586*a**2 + 2473056*a + 2490912 = 0?\nAnswer: -4, -2, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 13898, -3 in descending order.\nAnswer: 13898, 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8366?\nAnswer: 2, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48218119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + -119. Let o(b) = 0 + b + 0. Let s(i) = -7*i + 1. Calculate g*o(f) + s(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/10, -37, 1.79 in ascending order.\nAnswer: -37, -4, 1\/10, 1.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4623 is divided by 387.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8361502 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3607 (base 8) to base 13.\nAnswer: b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -223101 (base 4) to base 15\nAnswer: -c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25088*s + 25095*s = 2541. What is the remainder when s is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 2*z - 5*z. Suppose -4*m + 2 = -2*l, -3*m = -0*m + l - 4. What is the remainder when 27*35\/14 + m\/(-2) is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -767*z - 9074. Calculate v(-12).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + -1.76. Let f = 3.04 + -3. Let w = f - g. Which is the biggest value? (a) 0 (b) 3\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2426162 and -4.\nAnswer: 9704648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 234, -1, 322 in descending order.\nAnswer: 322, 234, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*i**4 - 8*i**4 + 20*i**4 + (-4 - 5 + 4)*(-3*i**4 + 2*i**4 - i**4) + i**4 + i**4 - 4*i**4 + (-40 + 40 + 7*i**2)*(4 - 4 - 3*i**2).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + 196. Suppose 6*q - q = j. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 57.5.\nAnswer: 287.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 902, 880, 836, 764, 658, 512?\n\"Answer: -c**3 - 5*c**2 + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -4*k - 66 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 71*h**2 - 3*h - 3. Let q be k(3). Suppose 5*y = -147 + q. What is y rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*-16*60\/(-144).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/12))**(-22)*(z**10)**(-3\/7))**(-2\/99) assuming z is positive.\nAnswer: z**(103\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6)\/(47\/(-105186)). What is h rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2 (c) -0.31 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 85. Let u = -36325 - -36349.047. Let o = u + n. What is o rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -382171899, -382171897, -382171895?\n\"Answer: 2*a - 382171901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weccncycyyqw. Give prob of picking 2 y and 1 q.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2508*f - 105338. What is m(-42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 5 = -p. Let h(b) = -90*b + 3. Let r be h(p). Let q = 350 + r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79.72 + 79. Let f = 0.712 + r. What is f rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/4 - (-15)\/(-6). Suppose -n = -j - 113, -2*j = 3*n - b*n - 128. Is n a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/57, -250, -166, -1\/2 in decreasing order.\nAnswer: -10\/57, -1\/2, -166, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 237 (base 8) to base 3\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 2:58 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 319 + -213. Let r = 105.14 - j. Round r to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6940*-37.\nAnswer: -256780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(1 + 0 - 2*c + 0) + 4*c + 2 - 27*c + 153*c.\nAnswer: 132*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3109646.6 to the nearest ten thousand.\nAnswer: -3110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5 - 84*a**4 + 495*a**3 - 1194*a**2 + 1284*a - 504 = 0.\nAnswer: 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 10*n**2 + 19*n + 24. Let u be z(-8). Suppose 25*c - 5*c - 6240 = u. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 398\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 82 = 4*j, -20494054*s + 20494059*s + 110 = -6*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 110 - 3*z - 210 + 100. Let t(p) = -22*p. What is t(r(k))?\nAnswer: 66*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25703, 25699, 25693, 25685?\n\"Answer: -w**2 - w + 25705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443 a factor of 34585430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 494951.8ug in nanograms?\nAnswer: 494951800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3527*q**5 - 2*q**2 + 291.\nAnswer: -211620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 w when four letters picked without replacement from {e: 1, g: 8, w: 2, y: 1, j: 6, v: 2}?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/5)*p*p**(-1\/10)*p\/(p*p**6)*(p**(1\/7)\/p)\/p*((p**(-1\/5)\/p)\/((p\/p**(5\/3))\/p))\/(p\/(p*p**(2\/5))*p)**(-1\/26) assuming p is positive.\nAnswer: p**(-9647\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6367813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -292*g + 2315. What is l(12)?\nAnswer: -1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011352 rounded to 7 decimal places?\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1000?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11*h - 16*h - 20 = 0, -5*h = -4*z - 50. Let i(u) = -u**3 + 6*u**2 - 23*u - 7. Is i(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(-27))**(-6\/19) assuming p is positive.\nAnswer: p**(-486\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16147, -128973, -435205, -1031545, -2014695?\n\"Answer: -16117*z**3 - z**2 - 4*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -13.8. Let g = p + -1.7999989. Round g to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3492.6 and 1.\nAnswer: -3492.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -381 - -362.7. Let d = 118.3 + x. Let i = d + -104.7. Round i to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 12*f - a = -15, -f + 3*a = 19. Solve f - 47 = -9*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -42*c**2 - 57*c. Let u(b) be the first derivative of b**3\/3 + 13. Let y(i) = -n(i) + 6*u(i). Find the second derivative of y(d) wrt d.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmjjnnbmn. What is prob of sequence bn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1513 + 50*y**2 - 1515 + 3009.\nAnswer: 50*y**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5277*m**4*y**3 + 4*m**4 - 2*m**3 + 27*m**2*y**3 + 2*m**2 + 10*m*y + 172*y**2 wrt m?\nAnswer: 126648*m*y**3 + 96*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l**2 + 3*l)*(-3 - 6*l**3 - 3566*l**2 + 3566*l**2).\nAnswer: -6*l**5 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 506530756.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2. Let g(m) = 6*m. Let u(a) = -3*a - a + 3*a + 0*a. Let z(o) = -g(o) + 3*u(o). What is p(z(f))?\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -115*k + 123*k. Let w(f) = -f**3 - 12*f**2 - 11*f - 9. Give w(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l + 102 - 1288 = 412 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130926859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 4*b**2 + 2*b**2 + (-3*b - 4*b + 3*b)*(-b + 2*b - 4*b) + 5*b**2 - b + b.\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 24 = 40*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*s**4 + 99552*s**3 + 39183268*s**2 + 365530056*s + 862831876.\nAnswer: 4*(s + 773)**2*(4*s + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*a - 266, -a + 78 = 10*i - 9. Which is greater: a or 881\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 3, t: 1, s: 2, l: 5}. What is prob of picking 1 l and 2 s?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*u - 27, 0*d + u + 45 = -5*d. Is d bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1694*j - 3394*j + 1698*j. Let t(d) = -29*d - 8. Let z(s) = -10*s - 3. Let w(l) = 3*t(l) - 8*z(l). What is b(w(n))?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47760, -95519, -143278, -191037, -238796?\n\"Answer: -47759*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/5)\/(1*8\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 54.876711 and 0.07?\nAnswer: 54.806711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39.539, 1, -2 in descending order.\nAnswer: 1, -2, -39.539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-22))\/(1*1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8812769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 13*q**2 - 19*q + 36. Calculate y(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*a - 12 = 0, -4080*a + 4082*a = 6*y + 42 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61000447.\nAnswer: 6529, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7*i + 215 = 294, 0 = 4*n + 2*i - 48. Let p(t) = -t**3 + 8*t**2 + 4. Let g be p(8). Calculate the smallest common multiple of (6\/g)\/(6\/40) and n.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*-3)\/sqrt(2).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -408, -616, -844, -1098?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 250 + -249. Is (6\/(-5) + i)*(-36425 - -10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*h**2*o + 9*h**2 + 4*h*o + 54*h + 237*o + 1 wrt o.\nAnswer: -18*h**2 + 4*h + 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 7*j**3 - 18 - 494*j + 494*j.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216321 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)\/(m\/(m**(-5)\/m)))\/(m*m**2)**36 assuming m is positive.\nAnswer: m**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4865559 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (2 + -7))\/3 + -7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-9)\/24) - (12 + -13). Let n be j*((-952)\/24)\/(-7). What is the highest common factor of 68 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1070 + 3016. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*b - 1260 = -0*b + 882 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/4 - 7*z**3\/3 + 3*z**2 - 10*z - 7. Determine x(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4803118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*v**4 + 7*v**3 - 1286*v**2 wrt v.\nAnswer: -2592*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 170971730 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49495 divided by 2.\nAnswer: 49495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 4, o: 2, l: 4, w: 2, t: 1}. Give prob of sequence tllo.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1115199595052 - -5.\nAnswer: 1115199595057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5704541, -11409081, -17113621, -22818161, -28522701?\n\"Answer: -5704540*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107765 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360185 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 43, 56, 69?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1235389*o*p**3 + 18*o + 20*p**3 + 998462*p**2 wrt o.\nAnswer: 1235389*p**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -9. Let q = c + -4.0048. Round q to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39.1 + -39.4. Which is the third smallest value? (a) 2\/5 (b) q (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -3 - 12\/(-3). Let z(s) = 83*s**3 - s**2 - s + 2. Let k be z(f). What is k rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.283, 5, 3?\nAnswer: 1.283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.5383ug to nanograms.\nAnswer: 38538.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2048).\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1361*r + 4039 = -19098 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 - 4 + 2*h**3 + 6*h**2 - 3*h + 4*h. Let m be f(6). List the prime factors of (2 - 1)\/(m\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 13 = 2*y - 4*n, -33 - 12 = 3*y + 4*n + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 1)*(-3 + y + 3).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 2:43 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -20. Let h(j) be the first derivative of -2*j**3\/3 - 5*j**2\/2 + 6*j + 77543. Determine h(g).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -606818199?\nAnswer: -606818199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*n + 2*n. Suppose -n*a = -33 + 5. Let z be (-2)\/a + 60\/14. Solve -o - z*o = -20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 57. Let r be (-2 + 1)\/((-1)\/i). What is the units digit of (-1590)\/(-20)*(-4)\/r + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3662670.\nAnswer: 1\/732534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36087aa - -37?\nAnswer: -3608773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 27*k**2 + 31*k - 39. Let j be m(27). Let d = j + -796. Which is the second biggest value? (a) -0.48 (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23784222.\nAnswer: 2, 3, 7, 11, 51481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*w**2 + 431*w - 431*w)*(0*w**2 + 0*w**2 + 2*w**2)*(30 - 58 + 34) + (-1 - 2*w**4 + 1)*(-1 - 5 + 5).\nAnswer: -298*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.397 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -5, 18, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23970\/423*((-1)\/(-2) - -1). Let o = -41 + k. Let g = 2 - -14. What is the remainder when o is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(55) - sqrt(55)*-3)*6)\/sqrt(5))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*b + 44 = 499*b. Let j = 5 - 3. Find the third derivative of b*t**2 + 8*t**5 + 2*t**j - t**2 wrt t.\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112, -111, -110, -109, -108, -107?\n\"Answer: f - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 415 and 320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23595 and 2925.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -52 - -147\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*x + 55*x + 156 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 69*y**3 + 2*y**2 - y - 1. Let u be 1\/(3 - 20\/8). List the prime factors of h(u).\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 2*w)*(47*w - 70*w - 42*w)*(5 - 4 + 3).\nAnswer: -260*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 9:04 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-192)\/(-20)) + 72\/(-30).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000072866574 to six dps.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**2 - 1931645*q - 1931650 = 0.\nAnswer: -1, 386330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111 and -4.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 4*w**2 + 9*w + 17. What is l(7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swsr when four letters picked without replacement from zzsrzzssrzszszwss?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 + (-9 - -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 15*o + 87. Let j be i(-11). What is the highest common factor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*j = 4*j - 26*x - 47 + 183, 7*j = 3*j - x - 28 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/45)\/(34\/6 + -1).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2836695 minutes in milliseconds?\nAnswer: 17020.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:40 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 11 - 10) + (9 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psppppppppsppspp. Give prob of picking 1 s and 1 p.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*r + 0*r - 6*r)*(-r**3 - 2*r**3 + 4*r**3) + (2*r**4 + 5*r**3 - 5*r**3)*(-1 + 0 + 4))*(-2 - r + 2*r - 3*r).\nAnswer: -8*r**5 - 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -186 (c) 2247 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14177.\nAnswer: 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 50?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 5*r - 2. Let b(l) = 2*l - 1. Let c(i) = 4*b(i) - q(i). Calculate c(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4252, -8492, -12728, -16960, -21188, -25412, -29632?\n\"Answer: 2*r**2 - 4246*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = g - 13, -21*c + 16*c + 14 = -15*g + 44 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**4\/12 - 11*q**3\/6 + 98*q**2. Suppose -7*t + 6*t = -3, 5*d + 3*t = -41. What is v(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 408320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 289*x**2 - 23*x + 7. Is y(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q - 2*x + 6, -7 = q + 3*x. Suppose 3*a - 2*a - q = 0. Suppose -a = m + m. Is -4 not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1076 + -880. What is the highest common factor of 1666 and z?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -53*s + 4405. Give p(83).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:29 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.07 - -2. Round b to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*y**2 - 4*y**2 - y**2 + 3*y**2.\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-21)\/28)\/1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 + -5)*1\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6499 and -7906.\nAnswer: -14405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/18933, 0.5, 3\/17, 5?\nAnswer: -1\/18933","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -214, -419, -640, -883, -1154, -1459, -1804?\nAnswer: -2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -573 - -173. Let t = d - -397. What is the nearest to 2 in 0, -0.5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + -15. Let l be 9 + (-14)\/(84\/(-18)). Calculate the common denominator of -17\/3 and u\/132 + 2\/l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, -17, -77, -191, -377, -653?\n\"Answer: -3*h**3 - 3*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**7\/5040 - q**6\/360 - q**5\/20 - 3*q**2. Let g(z) be the third derivative of m(z). Give g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8690 + -5?\nAnswer: 8687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*b + b + 7, 38 = 2*i + 4*b. Suppose 0*h = -3*h + i. Solve 0 = -4*t + h + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359 times 1?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -115\/505559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1078 - 741. Let k = 474 - w. What are the prime factors of (0 - 1 - 8\/4) + k?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4623 is divided by 137?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5276726 from -1.\nAnswer: -5276727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*v - 6, -5*v + 12 = 3*c + 22. Solve a + 8*d - 4*d + 20 = c, d = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/11 - 0) + 246\/451?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = -2*t. Let x(r) = -3*r**2 + 49*r + 9. Let g be x(17). Let o be (-2 + 0)\/(g - (8 + -7)). Which is greater: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/7 + (-45)\/(3 - -6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1*(-1 + 3 + 2). Suppose -4*l + r + 0*r = -10, f*r - 1 = l. Solve 0 = 2*p + 3*j + 7, l*j - 2*j = -p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16713180 divided by 185702?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 4*i - 6. Let j be q(8). Calculate the highest common divisor of j and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:59 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 + 5*x**2 + x**2 - 4*x**2)*(-6*x + x + 4*x).\nAnswer: -6*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -57 - -2905649564\nAnswer: 2905649507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*3\/(-6) - (-36)\/36. Solve 21*u - 7 = 17*u - 3*v, 3*u + f*v = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1.6.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7\/1884, -3, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3 + 4 - 3*y - 6 + 3. Let n be b(-2). Suppose 2*g - 5*j = -4*j + 8, -4*g - n*j + 28 = 0. Solve -g*v - 2 - 2 = -2*c, -4*v = c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/(6\/40).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1145*p - 2454. What is the hundreds digit of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -20. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75485763?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 32 - 82. Suppose 0 = 5*n + i - 2*i - 40, -3*n + 5*i = -24. Suppose n = -6*q + u. Which is the second smallest value? (a) 0.2 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 less than -42\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-210) + (-4)\/(-20). Let x be 2\/(-6) + 14\/(-3). What is the smallest value in 0.5, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*s + 2930, -s - 2936 = -5*z + s. Suppose -z = -9*n + 2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/134960 and -121\/90.\nAnswer: 1214640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**10\/o)\/(o*o**(-20)*o))\/(o*o*o\/o**(7\/4)*(o\/o**12)\/o) assuming o is positive.\nAnswer: o**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8619 - -13931. What are the prime factors of k?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-152)\/6*3\/(-2). Let n = -27 + a. Solve 3*u + 4 = -n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1149948?\nAnswer: 1\/1149948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -378 and -63675\/169 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - -2 - 1) + 45.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**2 - 6*p - 9. Let i(f) = -15*f**2 - 13*f - 19. Let j(v) = 6*i(v) - 13*w(v). Let m be j(0). Suppose m*r = -r + 84. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 345797, 345796, 345795, 345794?\n\"Answer: -r + 345798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 830163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q. Let m(c) be the first derivative of -4 + 2\/3*c**3 + 0*c**2 + 0*c. Calculate a(m(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18393 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**2 + 14*m + 6. Let r be d(7). Suppose -1\/3*p**3 + r + p**2 - 2\/3*p = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/411844 and -11\/41990.\nAnswer: 455087620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb + -3?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*m**3 - 58*m**3 + 429 + 51 - 102 + 5*m with respect to m.\nAnswer: -72*m**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 2395.4, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(28\/3))\/u*u\/(u*u**(-42)) assuming u is positive.\nAnswer: u**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -9. Let t(s) = -s**2 + 18*s - 9. What is the tens digit of t(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1812396 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102303 and 2322?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbubbbbplbbppbppw. Give prob of sequence lw.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -7*x**5\/6 - x**4\/3 + 4*x**3\/3 - x**2 + x. Let t(s) be the first derivative of p(s). Factor t(z).\nAnswer: -2*(5*z + 2)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/10)\/((-3)\/18). What is the smallest value in o, 2, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 9. Let n = -9 - w. Which is the closest to -0.1? (a) n (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a + -16152?\nAnswer: -16231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = -b, -4*b + 7*b - 2*k - 5 = 0. Suppose -58 - 23 = -b*c. Let d be (-6)\/c + (-244)\/36. Let t(g) = g**3 + 8*g**2 + 6*g + 8. Determine t(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*b + 0*b - 64 = 0, -2*q - 5*b - 68 = 0. Suppose 0 = 4*k - 21 - 11. What is the lowest common multiple of (-1 - -9) + q\/12 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from nvn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**2 + 9\/4*j**4 + 1\/3*j**3 + j - 3. Calculate d(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30004 - -4?\nAnswer: -30000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*g**(-8\/7)\/g)\/(g*g\/g**1)**(-5\/3))\/(g*g**16*g**(4\/3))**(-40) assuming g is positive.\nAnswer: g**(5109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -6*v**5\/5 - 10*v**3\/3 + 12. What is the third derivative of c(x) wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 + 4854\/15. Let y be (l\/16)\/(-9) + 2. Which is the nearest to y? (a) -1 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56609, -55264, -53919, -52574, -51229?\n\"Answer: 1345*o - 57954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 2*y + 11*y + y**3 - y**2 to z*y + b*y**3 + d*y**2 + t and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42706, -41221, -39726, -38221, -36706, -35181?\n\"Answer: 5*w**2 + 1470*w - 44181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**4 - 4*i**4 + 51*i**4)*(-12*i - 17*i - 4*i).\nAnswer: -1749*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Suppose 4*a = -d - a + 15, -z*a = 2*d - 9. Suppose -p = 4*s + 7, 5*s + 4 + 6 = d. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-288)\/(-56))*(-11)\/(2310\/12)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5947*u + 35677. Calculate x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14268, 114657, 387198, 917967, 1793040, 3098493, 4920402?\n\"Answer: 14346*i**3 - 33*i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/16)\/((-7)\/4). Suppose 4 = l, -3*l + 7*l - 10 = 2*a. Solve -6\/7*g**a + 6\/7*g + r*g**2 - 4\/7 + 2\/7*g**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by -2\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24826639 divided by 29.\nAnswer: 856091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 3*j - 2*j**3)*(4*j + 0*j - 2*j) + 501*j**4 - 264*j**4 - 189*j**4 as q*j**2 + v*j**4 + z*j**3 + w + d*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2198*y**3 - y**2 + 7*y - 6. Let l be d(1). What is the derivative of l - 1030 - 1064 - 83*p**3 wrt p?\nAnswer: -249*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26478 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 15. Let n be g(0). Let u = n + -5. Which is smaller: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/87, 0.2, 1.2, -2\/3, 3, -5 in descending order.\nAnswer: 3, 1.2, 0.2, -2\/87, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/4 + 267705*s - 11779141\/4 = 0.\nAnswer: -1070831, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28785143 + 5*w**3 - 28785146 + 57570289.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2856677 - b + 0*b - 5713360 + 2856683.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 4*a**3 + 4*a**3 + 4*a - a**3. Let u be l(3). Suppose -13*h = -55 - 36. Solve u*i - h + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 23. Let y = u - 5.2. What is y rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(3))\/sqrt(5) + sqrt(2) - (-1*sqrt(8)\/sqrt(4) - sqrt(2)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -331812.\nAnswer: 165906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -468? (a) -1 (b) 0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q. Let d be p(-1). Let w(u) = -2 + 1 - u**2 - 8*u - 2 + 9*u. Determine w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/316 and 7\/16.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*2*1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.212 + -5.212. Which is the nearest to -1? (a) -8 (b) i (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1757 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 52.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2621745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -827359 or -827368?\nAnswer: -827359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**4 + 230704*q**3 - 3271589 wrt q?\nAnswer: -12*q**3 + 692112*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773816979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 1 + 1)*(4*m**3 - 13*m**3 + 11*m**3 - 5*m**2).\nAnswer: -6*m**4 + 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 435 divided by 5\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1539 and 1995?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 131, 206, 279, 344?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 22. Let r = 23 + z. Are r and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7)*1*-5 + sqrt(7)))**2*4 + sqrt(70)\/sqrt(90) + 2 + 0.\nAnswer: sqrt(7)\/3 + 16130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*y + 3*y**2 + 23*y + y**2 + 2*y**2 - 4*y**2 + (9*y**2 + 0*y**2 + 5*y**2)*(-4 - 2 + 4) + 5*y**2 - y**2 + 4*y**2.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/(f\/(f*(f**(-6)*f)\/f))*((f**(3\/5)*f)\/f)**(-4\/19))**1 assuming f is positive.\nAnswer: f**(-1342\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 6025910?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 divided by -30040?\nAnswer: -521\/30040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/9, -11\/5, 2, -262?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -7*w - 4037. Find the common denominator of (-4)\/(-14) - w\/14 and 113\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d + 0*d)*(547*d**2 + d + 570*d**2 + 7 - 1116*d**2) + 3*d**3 - 3*d**3 - 6*d**3.\nAnswer: -8*d**3 - 2*d**2 - 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a*a**(-5)*a)**0*(a**(-7)\/(a*((((a\/a**(-3\/5))\/a)\/a)\/a)\/a))**(-20) assuming a is positive.\nAnswer: a**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 e when four letters picked without replacement from {e: 7, v: 2, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1481 - -1517. What is the lowest common multiple of w and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - i + 3. Let x be j(4). Suppose -5*q + 312 = -x. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2331 + 4663 + 491*b - 2332)*(-9*b**4 + 3*b**4 - 8*b**4).\nAnswer: -6874*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229 or 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/24 + 551*s**5\/12 + 6*s**2 - 220*s. Factor g(t).\nAnswer: -5*t**2*(t - 551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/20 + (-43973)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21232 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 11.02. Let h = 0.083 - 11.883. Let p = g + h. What is p rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -22 + 3 - (-1 - -6 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/11 and -89\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847247769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5 + (-79)\/(-5). Suppose 0*x = -l + 5*x + u, -8 = 4*x. Which is greater: l or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from vayeyvaaa.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*h + 6*h - 20, -4*j = -3*h - 20. Solve j*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/11 - (-2)\/4*0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b - b98125?\nAnswer: -b98108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 111706763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -453*q**2\/2 + 90729123*q\/2 - 1802565.\nAnswer: -3*(q - 200285)*(151*q - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 180 = -o. Suppose o*y - 10457 - 409 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -44*q**3 - 11*q**2 - 11*q. Let s(m) = -15*m**3 - 4*m**2 - 4*m. Determine -4*p(n) + 11*s(n).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 162*s + 120 + 93 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 182*g + 3*g**3 + 5*g**3 - 83*g + 144*g.\nAnswer: 7*g**3 + 243*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/60 - j**5\/12 + j**4\/8 - j**3\/2 - 19*j**2. Calculate the remainder when 57 is divided by q(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280212\/11 + 25474. What is d in 18\/11*d + j*d**3 + 8\/11 + 12\/11*d**2 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -976220 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1 + 16 = 0. Suppose 2*g - 1 = s. Suppose -m + g = 4*j, 2*m + 4*j - 6*j = 4. What is the greatest common factor of 6 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 557, 1132, 1733, 2366, 3037?\nAnswer: 3752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163a23 (base 11) to base 4.\nAnswer: 332002231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30685 divided by -6137\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(91) + sqrt(91) - sqrt(91)))\/(1*sqrt(63)) + -2 + -3 + (-4 + sqrt(13) + -2)**2.\nAnswer: -40*sqrt(13)\/3 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 111, 211, 377, 609, 907?\n\"Answer: 33*q**2 + q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*a - 4730 = -9*h, -3*h - 5*a = -2846. Suppose 1837 = 8*x - h. List the prime factors of x.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w, -2*d + 23 = w - 9. Solve d - 8 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106574 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/16 + (-2)\/(-8))\/(19\/95). Solve -5*v = -l*j - 15, -11*v = -9*v - 5*j - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + sqrt(2299)*2 + sqrt(2299))**2 + 2.\nAnswer: 36786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 9*x**2 - 10*x - 9. Let h be f(-8). Let c = h + -4. Solve -4*g = -0*g + c*y - 12, 4*g - 3*y - 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - u - 590000. Let w be d(0). Round w to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3500*c - 42338 - 149582 = 1298*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 - -10010000011001?\nAnswer: 10010000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 1564467867288*f - 1564467867288*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 1148850?\nAnswer: 1148852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117395 and 10189?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**3 + d**2 + 2*d + 1. Let n = 1 - 29. Let p = 27 + n. Determine k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303629148 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11*b**(-4\/3))**(-25\/4) assuming b is positive.\nAnswer: b**(-725\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 2, p: 3, i: 3, n: 1, e: 1}. Give prob of sequence qp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 131706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**4\/12 + t**3\/6 + t**2\/2 - 2*t. Let g = 2 + 5. Let b(h) = -6*h**2 - 5*h**2 + h**3 - 6 - g*h + 5*h**2. Give -b(k) - 6*x(k).\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(-1)\/6*3 - (510 - 498)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3486*k + 167318. Calculate s(-48).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14388 - -43?\nAnswer: -14345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2444262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278525*d + 4*d**2 - 557054*d + 278529*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 5. Determine t(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*y + 21, -y - y = -2*f + 6. Suppose c = f*c. Put 3, c, -4 in increasing order.\nAnswer: -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1511995 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 3*t**3 + 4*t**3 - t**5 + 0*t**3 - t**2 - t**2.\nAnswer: -t**2*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 44906?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 10:17 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -8, 2, 5.\nAnswer: -79, -8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 64*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1.5122 (b) 9 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3669b (base 12) to base 8.\nAnswer: -217527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13240685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38.1 - 40. Let y = f + 2.2. Let t = -3 + -1. Put t, y, -0.1 in decreasing order.\nAnswer: y, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031765 is divided by 13762.\nAnswer: 13377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 127780312, 127780310, 127780308, 127780306, 127780304?\n\"Answer: -2*v + 127780314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 318667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**3 + 4*r**2 - 2*r - 4. What is the tens digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0986086 and 37.56.\nAnswer: 37.6586086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 445*o - 3042. Let a be i(7). Solve a = u + 18 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -401, -579, -737, -869, -969, -1031, -1049?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/((-108)\/20408)*1\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f. Let c(q) = -q + 13. Let r be c(7). Suppose d - 3*h = 9, -d + r*d = h + 17. Let m(z) = 10*z**2 - 12*z**2 + d*z**2. What is m(g(i))?\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 12*r - 13. Let z be m(-1). Let u(a) be the first derivative of 7 + 3*a + 4*a**z + 1\/3*a**3. Give u(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 39*c - 282. Let k be t(29). Let a be (4\/k)\/((-28)\/(-24)). Determine r, given that -2\/7*r - a + 1\/7*r**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**2 - 121*k + 7360. Calculate i(25).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczjdzyyzzdziyddycyd. Give prob of sequence zz.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/21, 3\/434?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from bbmbbmojbjbobbboojjb?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 - 9*d**2 + 3*d**2 - 4*d. Let z(s) = 2*s**2 + 5*s + 1. Let y(n) = -4*i(n) - 3*z(n). What are the prime factors of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2765 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 272*p**2 + 13 - 137*p**2 - 2*p**3 + p**3 + 2*p**4 - 3*p - 139*p**2 as m + n*p + h*p**4 + q*p**3 + i*p**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174581412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/37237568 and -99\/10298.\nAnswer: 37237568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 + 2*s**4\/3 + s**3 + 9*s**2 - 84*s. Determine l(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, 15940 in decreasing order.\nAnswer: 15940, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 6 + -16 - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.5 - -11.3. What is the nearest to 0 in y, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*w**4 - 96*w**3 - 44911*w**2 + 417423494*w.\nAnswer: 444*w**2 - 576*w - 89822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 9135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + (sqrt(133) - ((-2*sqrt(133) + sqrt(133))*-5 + sqrt(133)))))\/(sqrt(2744)\/sqrt(8)))**2.\nAnswer: 475\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -42, 1\/3, 4\/5, 0.2, 4?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 549171000 to the nearest 1000000.\nAnswer: 549000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*l + 325*l - 3*a = -1, 34*a = -2*l - 202 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -571\/5005 + -1\/770. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263 - 356.8. Let u = 95 + r. Which is bigger: u or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1224 - -9941. Is d a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + 3 + sqrt(891)*6 + 4 + (sqrt(891) - (-5*sqrt(891) + sqrt(891))) + 5)*-5)**2.\nAnswer: 1029600*sqrt(11) + 43192000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l\/(l\/l**(-2\/13))*l)\/l*l)**(20\/3))**(1\/10) assuming l is positive.\nAnswer: l**(74\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, u: 1, a: 2, i: 2, s: 2, b: 1}. What is prob of picking 1 a and 1 u?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*z - 78, -2*z + 5*u + 92 = 2*u. Suppose 42*f + 152 = z*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 9*o + 13*o - 11*o. Let z(x) = x**3 - 4*x**2 + 2*x - 5. Let r be z(4). Let q = r + -2. Is q at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2126905 divided by -1\nAnswer: -2126905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**4\/24 - g**3\/2 + g**2. Let y(k) be the third derivative of k**4\/6 + 2*k**3 - 31*k**2. Let h be y(-3). Give p(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 316 = 188. Calculate the smallest common multiple of y and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 2, w: 1, n: 11, v: 1}. Give prob of sequence vw.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 2309830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*l - 282, -3*z + 4*l - l = -258. Let j = -92 + 131. Calculate the remainder when z is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -1\/6, 0.1, 0.045, 0.3, 2, -1974?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 288644842 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1795140*g**3 - 6670777?\nAnswer: 5385420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8973, 17474, 25495, 33030, 40073, 46618, 52659?\n\"Answer: -g**3 - 234*g**2 + 9210*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2*j + 2*j - j)*(1 + j - 1)*(-15*j**2 - 11*j**2 - 31*j**2)*(2*j + 2*j + j).\nAnswer: 285*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 11) in base 8?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47550732 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -6, 25 = -2*z - 4*l - 21. Let h = 42 + z. Calculate the highest common divisor of h and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6359201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1197 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 4\/3*f**3 - 1\/2*f**2 + 1\/4*f**4 - 4*f + 67. Factor u(r).\nAnswer: (r - 1)*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552292 = 49*o - 475728. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24910819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) -5\/3 (b) -0.3 (c) 2\/15 (d) 223.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j + 1. Let h be t(0). Suppose 3*m = d + h, 0*d = d + 4*m - 13. Suppose -4 = -3*w + d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.82832 - -6.228272. Let t = j + -5.4. Round t to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 19. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 + -0.1. Let c = 0.02633 - 0.32633. Put c, r, 2\/9 in decreasing order.\nAnswer: 2\/9, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:36 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p - 5. Suppose k - 2 - 2 = 0. Is 5 a factor of v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47717 - 47717 + 325*f.\nAnswer: 325*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 5 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 503214 divided by 83869.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 - (-48 + (-129 - -77))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6332342387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13) + -1 + 5 + (sqrt(1573)*2*3 - sqrt(1573))**2.\nAnswer: sqrt(13) + 39327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44530 by -5.\nAnswer: 8906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*s - 148177 + 800174 = 0, -4*o + 2*s = -651998. Round o to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from wookkwwwkwo?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. What is the third derivative of 0*r + 0*r + r**u - r**2 + 0*r wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 90*a + 2073. Let m be r(-23). Solve 2*z - m*k = -7, 32*k - 35*k = -5*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddz. Give prob of picking 1 z and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -2. Let k = 1 + -2. Let o be (-6)\/(k\/(2\/3)). Solve -2*a + i*a = -j + 2, -5*j = o*a - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 1, 6\/5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 + -268. Which is bigger: 104 or v?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 692, -0.14, 1057.\nAnswer: -0.14, 692, 1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4655 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 56?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d**8*d)\/d)*(d*d\/(d*((d\/(d\/d**(8\/7)))\/d)\/d))\/d*d assuming d is positive.\nAnswer: d**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 16*b + 104. Determine y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - 65 + 65)*(6*w + 0 + 0) + 142 - 142 + 9*w**2 to the form t*w**2 + x + h*w and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(168) + sqrt(168)*-1)*2)\/sqrt(4))\/(sqrt(864) - (sqrt(864) + sqrt(864)*-2)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 888, -2, -4.\nAnswer: -4, -2, 888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)\/((-64)\/(-192)). Let l be (26\/4)\/13*(1 - r). What is the closest to l in -3, -5, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69674 is divided by 171?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171570793*n**3 - 46364145*n**2 + n + 5 wrt n?\nAnswer: -1029424758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (20\/(-25))\/((-7)\/((-3570)\/(-4)))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2.3, -2.2 in ascending order.\nAnswer: -5, -2.3, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.49 - -0.346. Let z = g + 0.144047. Round z to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c**2 - 133 + 44*c**2 - 78*c**2 + 133.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 + 243*n**4 + 1806*n**3 + 3990*n**2 + 3519*n + 1095.\nAnswer: 3*(n + 1)**3*(n + 5)*(n + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and 14007 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -11*w**3\/2 + 54933*w**2 + 3770932*w + 683808 = 0.\nAnswer: -68, -2\/11, 10056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w - j - 30, j + 84 = 3*w. Suppose 10 = w*z - 22*z. Solve z*p - 7*p - 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(1 + (3*1*sqrt(128))**2) + 4.\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 2 (c) -0.2 (d) -0.04 (e) -838 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v = 21*v + 54 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let i be 2\/(3*(-8)\/72). Let b be i\/(-8)*(-384)\/(-216). Which is bigger: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-4) - (5 - 0))\/(-1). Let f be 5*((-1442)\/245 - -6). What is the smallest value in g, -1.2, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/24 + 5*f**3\/3 - 2*f**2. Let o be k(0). Suppose -4*h - o = -54. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(4 - 11\/3). Let i(m) = m**2 + 4*m - 3. Let d be i(2). What is the greatest common divisor of w and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 + 169. What is the greatest common divisor of y and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*w**2 - 5128\/7*w - 1643524\/7.\nAnswer: -4*(w + 641)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 12*r**2 + r + 7. What is o(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6861 and 45480?\nAnswer: 104012760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**5\/270 + g**4\/2 + 53*g**3\/27 - g**2\/2 - 76*g + 222. Let j(r) be the second derivative of h(r). Factor j(s).\nAnswer: 2*(s + 1)*(s + 53)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23146281 - 23146282.5699899. Let c = -1.57 - b. Round c to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(30 - (-15)\/(-5)). Determine j, given that -23 + 15*j**2 + 60 - 25 + 40*j - o*j**4 - 35*j**3 - 5*j**5 = 0.\nAnswer: -3, -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 48. Let p be 4*(-60)\/g*-1. Solve -5*u - 13 = -b + 2, b + 5*u + p = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -646*o**4 - 5724 - 328*o**2 + 329*o**2 - 202 wrt o?\nAnswer: -15504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3073*v = 2*r + 3072*v - 8, 0*r - r + 5*v = -13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) - (sqrt(360)*1 - sqrt(360))*5 - 2*sqrt(360)*1)\/((-1*sqrt(192))\/sqrt(6)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12824 + 33529. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25 - (27 - 4) - ((-7504)\/2 - -2). Which is bigger: 3750 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 113098*h**5 + 2*h**4 + 372*h**2 - 2*h + 6983 wrt h?\nAnswer: 120*h**3 - 6785880*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1\/3, 0.2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2550 and 5040?\nAnswer: 428400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = 4*y, -4*s = -3*s + 4*y + 3. Let z(h) = -h**2 + 2*h + 3. What is z(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38499283 to the power of 1\/2, to the nearest integer?\nAnswer: 6205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 25*z - 25. Let y(l) = 2*l - 2. Let m(r) = -3*f(r) + 40*y(r). Let k(a) = 4*a - 6. Determine -5*k(g) + 6*m(g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.9188 decades in centuries?\nAnswer: 28.79188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -74*y**2 - 2*y + 5. Let h(z) = -38*z**2 - z + 2. Determine 9*h(i) - 4*k(i).\nAnswer: -46*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.8 - 46. Let k = d + -12.83. Round k to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2975*i = -2950*i - 1257175. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 39*c**3 - 7*c**2 - 4*c. Let w(f) = -f**3 + f**2 + f. Suppose -21*u - 14 = -7*u. Let d(h) = u*o(h) - 5*w(h). Find the third derivative of d(a) wrt a.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 3 - 3 + (-4 + 3 + 0)*(80*y + 55*y + 10*y))*(-1 + 0 + 0).\nAnswer: 140*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.336 - 0.036. Sort -1, 0, o, -4 in increasing order.\nAnswer: -4, -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-44))\/(293 + -294).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -0.4 (c) -5 (d) 2\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -19. Suppose -3*r + 3*f = 2*f - 19, 2*f + 3 = -r. Suppose -w = i + r*m, -i + 3*i - 2*m - 8 = 0. Solve -3*o + 4 = i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1917 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 1. Let x(a) = 1. Let n(g) = -c(g) + 4*x(g). Let q be n(3). Is q at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2322?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/120 + m**5\/10 - m**4\/8 + m**3 - 4*m**2. Let j be z(3). What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 0 - 1\/150*c**5 - 1\/15*c**3 - 3*c + 1\/2*c**2 - 1\/30*c**4. Let m(o) be the first derivative of k(o). Factor m(u).\nAnswer: -2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22168 + 975471\/44. Let o = 1438 - 25861\/18. Find the common denominator of o and t.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 - 7. Let j be u(0). Let l = -26 + 28. Which is the biggest value? (a) l (b) 0.3 (c) -1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - 12\/(-7). Let n be c\/4 - 2\/(-4). Let f = 507\/4 - 126. Is n greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 4:14 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*p - 699 = -50*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 10418\nAnswer: 17\/10418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 - 4*q**3 - 49*q**2\/2 + 136*q + 480.\nAnswer: (q - 8)**2*(q + 3)*(q + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**7\/2520 + 15*n**4\/2 - 42*n. Let l(c) be the third derivative of k(c). Let j(b) = -9*b**2. Calculate l(j(p)).\nAnswer: 81*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*y = 24. Suppose -4*p + y = -p. Suppose -4*q = -o + 12, 6 = -4*o + 4*q + 30. Are o and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -5*f + 7. What is the remainder when (-19 - -24)\/((-2)\/f) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3645, -7277, -10873, -14433, -17957?\n\"Answer: 18*v**2 - 3686*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -74636 divided by -1588\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -3*4\/(-6). Let f be v*(-4 - (-2 - 1)). Let w(h) = -7*h. Determine w(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -0.7?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2163 + -1184. Round n to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**3 + 25*s**3 + 8*s**3.\nAnswer: 51*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + b. Let v be (0 - (0 + 1))*-3. Let n(d) = d**2 - d - 1. Let c(t) = -5*t**2 + 6*t + 6. Let p(x) = c(x) + 6*n(x). What is v*p(u) - 2*r(u)?\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010101011202000 + -1?\nAnswer: -2010101011202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.3. Suppose 0 = 9*q + 10156 - 10147. Let y = -0.8 + 0.3. Which is the closest to -1? (a) l (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187278 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -65527, -131058, -196589, -262120, -327651, -393182?\n\"Answer: -65531*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263611 or 263607?\nAnswer: 263607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/1008*(-8)\/6\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 3*d**2 - 11*d + 7. Let g(t) = 3*t**3 + 7*t**2 + 21*t - 15. Let w(h) = 3*g(h) + 5*p(h). Let k be w(7). Is ((-2)\/((-18)\/237))\/((-1)\/k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500241310 to the power of 1\/3, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**12*c*c**(-12)*c*c*c*c)**(-48)*((c*c**(-1\/2)*c*c)\/(c**(-14)\/c))**(-38) assuming c is positive.\nAnswer: c**199","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + 12*g - 162 = -22 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -203 + 358. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 190*u + 129. Determine v(-80).\nAnswer: 2529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25035?\nAnswer: 3, 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -6474583.\nAnswer: -81\/6474583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-91))\/(6\/(-24)*-8)*-2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1375 = -123*s + 118*s. Which is bigger: 276 or s?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*y + 6*y. Suppose -2*u - 5*x + 35 = 0, -y*u - x - x = -46. Is (-230)\/(-18) + (u\/(-9))\/(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 133?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -13*i. Let h = 14674 + -14678. Let q(m) = -3*m - 3*m + 7*m - 7*m. What is h*n(y) + 7*q(y)?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-115.02183\nAnswer: 46.008732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -11. Let f be x\/9*(-1)\/(-9). Sort 2, 4, f, -0.4.\nAnswer: -0.4, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.453 + -0.447. Let k = -30 - h. Round k to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 - 38508*j**4 - 4469148*j**3 + 13638462*j**2 - 13715463*j + 4584654 = 0. Calculate j.\nAnswer: -118, 1, 12951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -552.947 - -553.2770067. Let y = 42.67 + -43. Let o = y + x. Round o to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**6\/2 + 337*w**5\/2 - 186995*w**4\/12 - 129950*w**3\/3 + 127690*w**2 + 15*w - 42. Solve p(x) = 0 for x.\nAnswer: -2, 2\/3, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11183242.\nAnswer: 2, 7, 41, 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1268104*p**2 + 7033. Let q(c) = 541*c**2 - 3. Give -6*l(z) - 14066*q(z).\nAnswer: -1082*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24436 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhdhchaauhzuhhd. Give prob of picking 1 a, 1 h, 1 z, and 1 d.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597177 is divided by 7756.\nAnswer: 7721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9891 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppuh when four letters picked without replacement from dddhpdphupphp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31822 + -31809. Let q(x) = x + 13. Let f be q(-11). What is the smallest value in f, -2, d, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k = 10. Let h be k\/(2 + 83\/(-42)). Let x = 139 - h. What is the greatest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/f**(-2))\/(f\/(f\/(f*f**(-1))))**(4\/21) assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*l = -l + 94, -43 = -2*x - l. Let s be 30\/x*(-5)\/(-12). Which is the biggest value? (a) 0.5 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.78 - 4.2. Let r = 0.02 - o. Suppose -17*s = -15*s + 10. Which is the third smallest value? (a) s (b) -0.06 (c) 2\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 18*v - 85. Let f be 37\/(-3) + 6\/18. Let w(l) = -2*l - 11. What is the remainder when p(24) is divided by w(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(39)\/sqrt(3) + 2 - (sqrt(832) + -2)*-5)**2.\nAnswer: -246*sqrt(13) + 21862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -16 - -15 - (0 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -14.18.\nAnswer: -0.5672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 + 6*u + 3. Let n(h) = 5*h**2 - 6*h - 2. Let c(x) = -4*k(x) - 3*n(x). Calculate c(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + -10. Let c = 33.545 + k. What is c rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3456885, 3456891, 3456897, 3456903?\n\"Answer: 6*u + 3456879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -16*g**3 + 288*g + 8621. Let l(h) = 42*h**3 - 863*h - 25863. Let p(o) = -11*c(o) - 4*l(o). What is the first derivative of p(q) wrt q?\nAnswer: 24*q**2 + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12561504 to the nearest integer?\nAnswer: 3544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**3 + 3*b**2 + 2*b + 1. Let i be w(-1). Let x = -5 - i. Suppose x*t - 36 = -4*t. Solve 5*r + t = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -263739 + 5802299\/22. Let l = 9139\/8520 - -1\/426. What is the common denominator of n and l?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-24)\/(-32) + 1149\/4 and 396.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 968394 and 90216.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36953 + 37272. Solve l*f + 30 = 329*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/7 - 22060*d\/7 + 9501738\/7 = 0. Calculate d.\nAnswer: 449, 10581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1168, 1405, 1674, 1981, 2332, 2733, 3190?\n\"Answer: f**3 + 10*f**2 + 200*f + 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 12. Let z = 31.2 + -31. What is the nearest to -0.1 in k, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 5222*q + 10384*q - 5162*q. Let i(g) = 55*g**2 + 4*g - 12. Determine i(d(n)).\nAnswer: 55*n**4 + 4*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u + 12 = -53*u. Which is the second smallest value? (a) 2\/5 (b) 2\/15 (c) 2\/3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, f: 5, q: 3}. Give prob of picking 1 f and 1 u.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -113540000 to the nearest 1000000.\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*z - 7, 4*u = -788*z + 792*z + 12 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8650, 19100, 31348, 45394, 61238?\nAnswer: 78880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -3*p - 3*t - 1818, 6 = -2*t. Which is bigger: p or 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 713.015 - 706. Let v = -0.015 + l. What is the smallest value in -0.2, v, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 2}. What is prob of sequence ni?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 + b - 5. Let a be h(7). Suppose 4*x - 4*u = -x, 7 = -a*x + 3*u. Let y be x\/14 - (-6)\/(-14). What is the nearest to 0 in y, -4, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6831, 6847, 6891, 6975, 7111, 7311, 7587, 7951?\nAnswer: 8415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -134? (a) 2\/9 (b) -2\/7 (c) 5 (d) -22 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let d be (-17)\/33 - 5\/(-15). What is the closest to s in 0.3, d, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*p + 2857 + 3093 = -19*p for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*x + 2 - 4, 4*x - 46 = -2*m. Suppose 2*y - 1 = x. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*10\/315)\/(3\/9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (48 - 21)) + (-20 - -1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282664 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: Work out -76183 * 0.1291.\nAnswer: -9835.2253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5635 + 147.4335. Round i to the nearest integer.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.072 to 1 dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 + 210*z + 9*z**3 - 50*z**3 + 33*z**3.\nAnswer: z**3 + 210*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-292)\/7 - 4\/14) + -196478 + 196483.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 58. Suppose -2*q + 2891 = -3*p, 7*p - 3*p = -q + 1429. Suppose h*f + 4 = q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10780, 10786, 10804, 10840, 10900?\n\"Answer: y**3 - y + 10780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4173136*o**5 + 3*o**4 - 2*o**3 - 82884538*o wrt o?\nAnswer: 83462720*o**3 + 36*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2390854973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9002308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 - a. Let j be n(1). Let r = -3449\/42 + 467\/6. Is r bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1986 - 8836 = 685*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u - 172. Let c be m(4). Let h = c - -1328. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*r**3 + 78*r**3 - 414*r**3 + 79*r**3 + 85*r**3 + 85*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -y - 59. What is the remainder when 100 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286625, -573209, -859767, -1146299, -1432805, -1719285?\nAnswer: -2005739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.243 - -38.143. Let b = 38 - v. Which is smaller: b or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -78. What is the first derivative of 98 - 79 + z*r + 44 wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - r - 883 = 0, 0 = -30*t + 27*t + 5*r + 543. Calculate the greatest common factor of 288 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let h(x) = -74*x**2 - 4*x - 6. Let j(n) = -n**2 + n + 2. Let l(d) = h(d) + 4*j(d). What is l(c(m))?\nAnswer: -312*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 2, y: 2, h: 5, l: 6}. Give prob of sequence ysh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 54625, -25.58 in descending order.\nAnswer: 54625, -1, -25.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182 + -124. Suppose -2*d + w = -34. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2472)\/(-99) - (-23 - 15918\/(-693)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - d + d + 0*d**3 - 4*d**3 + d**3 + 2*d**2 - 2*d**2 - d**3 + (2*d - 4*d + 3*d)*(-3 + 3 + 2*d**2).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4536)\/(-11907)*((-9)\/(-52))\/3?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.71748 weeks in microseconds?\nAnswer: 20997131904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 + -157. What is the tens digit of ((-1)\/(r\/64))\/((-96)\/(-144))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 14 = -2*u + 5, -5*u = -4*c - 37. Suppose 5*z = -u + 15. What is the second derivative of -3*a**3 + a**4 + a + a**3 + z*a**3 wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 200*n**4 + 455*n**3 + 335*n**2 + 55*n + 25. Let q(p) = -25*p**4 - 57*p**3 - 42*p**2 - 7*p - 3. Let z(s) = -3*f(s) - 25*q(s). Factor z(a).\nAnswer: 5*a*(a + 1)**2*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2269065*u**2 + 4647881.\nAnswer: 4538130*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/60*6*126\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, r: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1111011010100 (base 2) to base 9\nAnswer: -11738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 33*q**2 - 33*q + 56. Let b be o(31). Let w be (-9)\/6 + b\/(-1908). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/822 and 61\/1644?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**5\/30 + n**4\/18 + 2*n**3\/9 - 17*n. Factor l(m).\nAnswer: -2*m*(m - 2)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 603.5705 decades?\nAnswer: 60.35705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 9*m - 12*m**2)*(-5 + 0 + 4 + 1 + 0 - 2 + 0 + 1 - 2 + (-1 + 6 - 4)*(-3 - 2 + 3) + 1 - 2 + 3 + 1 + 4 + 0).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 5*z + 4*z**3 - 23*z + 18*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -2934 = -2902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19*1.4\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 6\/5, 2\/181, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3579.6 + -3580. Let w = -7 - -13. What is the closest to w in 5, g, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -259, -3\/19, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237 + 31. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20036705 - -5?\nAnswer: 20036712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1096\/5, -3, 3, 1\/70, -4 in descending order.\nAnswer: 3, 1\/70, -3, -4, -1096\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 9:56 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = -3*w, -w = -5*x - 0*x + 8. Suppose -2*o + 15 = 3*p, 0 = -4*p - 2*o - 2*o + 20. Put 3, x, p in decreasing order.\nAnswer: p, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*z**2 + 991*z - 991*z)*(305 - 305 + 30*z**2)*(1 - 1 + 1).\nAnswer: 630*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221805600?\nAnswer: 2, 3, 5, 92419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {d: 1, x: 3, k: 6, i: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r**2 - 8*r - 6 + 4*r**2 + 6*r**2 - 3*r**2.\nAnswer: -2*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 + 10*u + 9*u - 12*u + 0*u**3 - 6*u**3 - 21*u**2 to the form z + x*u + j*u**3 + p*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8125\/48 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.02 - -1.32. Let w = -3.9 + -0.1. What is the closest to 0.07 in 4, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 75 = -4*h + 3*u, 3*h + 3*u = 87 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.04, 0, 0.0718?\nAnswer: 0.0718","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.093, 1\/3, -1, 0.5, 358?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 988560, 988578, 988596, 988614, 988632?\nAnswer: 988650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/12 + 7\/14. Suppose c - 35 = -5*w + 3*c, 28 = 4*w + 3*c. Suppose u*a + 200 = w*a. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 5700042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -35)\/(-76 + 11136\/145).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -160*z**3 - 1188*z**2 + 4692*z + 5720 = 0.\nAnswer: -10, -1, 143\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -3*w - 0*w + a, 0 = 4*w + 5*a + 297. Let y = w - -77. Put -4, y, -1 in increasing order.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278*d**2 + 406*d**2 - 141*d**2 + 347*d**2 to the form j*d**2 + m*d + t and give j.\nAnswer: 890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*g**2*n*o**3 - 11*g**2*o**2 - 6*g**2*o - 2*g*n*o**4 + 2*g*o**4 - 92*n - o**2 wrt o?\nAnswer: 228*g**2*n - 48*g*n*o + 48*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {b: 12, h: 1, v: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-2\/33)*f*f))**(-1\/3)*f**(-19)\/f**1)**33 assuming f is positive.\nAnswer: f**(-1916\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 863.\nAnswer: -862.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 869283 - 581498. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/104 and -71\/396?\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a9579 - 49?\nAnswer: 1a9530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7747017 minutes in seconds?\nAnswer: 46.482102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/(-30)*1*(-90)\/(-12)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 931280 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-7)\/(-70) - (((-289254)\/(-1120))\/(-71) + 4)?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1912278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -377 + 634. Let z = 12 - 92. Let v = b + z. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 3*q**6\/4 + 29*q**4\/8 - 89*q**2. Find the second derivative of y(z) wrt z.\nAnswer: 540*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfyyyyfyyfyyyyy. What is prob of picking 2 y?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/8)\/(163599\/18968)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:12 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1588\/9 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z - 3*z**2 + 15*z**3 + z**4 - 17*z**3 - 13 - 2*z - 3*z - 2*z as n + f*z**3 + a*z + q*z**4 + x*z**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 - (24 + (-28 - -14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((30\/75)\/((-36)\/(-30)))\/((-1326)\/468). Let g = 2.8 - 3. Let m = -710\/9 + 79. What is the closest to g in m, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -1 in decreasing order.\nAnswer: 15, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.215 + -20. Let m = f + -1.239. Let c = m - -1. Round c to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u - 48 = 0. Let z(v) = v**2 - 16*v + 21. Let x be z(15). Is (8\/u)\/(x\/(-1719)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -4\/9, -289972\/3, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 3*o**2 - 4*o + 3. Suppose 4 = -4*s + 12. Let w be h(s). What are the prime factors of (w\/(-6) - -2)*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3413167 divided by 6?\nAnswer: -3413167\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10261*i**3 - 20529*i**3 + 10266*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:51 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 47.1. What is the closest to -1\/2 in -3, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j)**(-2\/29)*((j\/j**(-1\/2))\/j)**46 assuming j is positive.\nAnswer: j**(663\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1123476465 to the nearest integer?\nAnswer: 33518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1513055 by -5.\nAnswer: 302611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s\/(s*((s**(-5)\/s)\/s)\/s*s*s))*s\/(((s*s**(-12))\/s)\/s)*s)**(-33) assuming s is positive.\nAnswer: s**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -248978.744 to the nearest one thousand.\nAnswer: -249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 185 = m, -3*t + m + 4*m = 193. Let f = t - -24. Let w = f - -39. Solve -w = -x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 + (-33 - 0) + -22?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9 + (-14)\/(-21). Suppose i = r + 4*r, c = -r + 7. Solve -5*m - c - 13 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -7, -0.07.\nAnswer: -7, -0.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/((-184)\/23) + (9 - 7)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000074131 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8\/g*g)\/g**8*(g\/g**(-8))\/(g\/g**3))\/((((g\/(g*g**(-6)))\/g)\/g**2)\/((g**0*g)\/g**(2\/19))) assuming g is positive.\nAnswer: g**(169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 - 9*l**2 + 11*l + 17. Let k be h(-7). Let u = -364 + k. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.8 - -20. Let h = -16 + -2. Let j = h - -14. Are w and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3217.62ml in litres?\nAnswer: 3.21762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/6 in 1\/5, -5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337476 divided by -4.\nAnswer: 84369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 797 - 1278. Let j = 477 + o. Sort j, -2, 4\/9, -1.\nAnswer: j, -2, -1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -253 - -256. Suppose v*y - 128 = 145. What are the prime factors of y?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1.37071 (b) 0.0173 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 20151 and -1266626.\nAnswer: -1246475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 - 5*w - 4. Let u be p(-5). Let r = u - 31. What is the remainder when 21 is divided by (-6)\/r + 171\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -5*g**9\/504 - g**5\/12 - 8*g**2. Find the third derivative of u(f) wrt f.\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*o - 82*o - 20803. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 5*d**2 - 16*d - 3. Let v(p) = -p**3 - 2*p**2 - 8*p - 1. What is 2*r(l) - 5*v(l)?\nAnswer: l**3 + 8*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -476?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*k**2 + 2039*c + 64*k**2 wrt k.\nAnswer: 2*c*k + 128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1806, -57, -1.9, -5, -0.2 in descending order.\nAnswer: 1806, -0.2, -1.9, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 492, 1105, 1964, 3069, 4420, 6017?\nAnswer: 7860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 + 125*k**2 + 0*k**3 - 125*k**2 - 4*k**3. Let o(p) = -p**3. Determine -6*l(d) - 10*o(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 23. Suppose 12*l - 6 = v*l. Sort -5, l, 5 in increasing order.\nAnswer: l, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllflglfllgllf. Give prob of sequence gg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -3314324?\nAnswer: -3314323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m - 36*m - 33*m + 176*m - 73*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*h + (-4 + 0 + 3)*(1 - 1 - h) - 6*h + h + 3*h - 1 + 1 - h + (0*h - 4*h + 2*h)*(15 + 7 - 8).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 8 = -7. Let f = 5 + u. Differentiate -3*i**2 + i**2 + 4*i**2 + f with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c - 4*c**2 + 11*c + (4*c - 2*c - c)*(-5*c - 3*c + 3*c) + (3*c - 2*c - 3*c)*(0*c + 2*c - 3*c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -v. Which is the smallest value? (a) v (b) 0.3 (c) 0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8355084?\nAnswer: 2, 3, 696257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297804137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 180.397071 milliseconds?\nAnswer: 0.0000020879290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 15687510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**5\/5 + 18*c**4\/5 + 12*c**3\/5 - 18*c**2\/5 - 3*c = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49420, -49420, -49422, -49426, -49432, -49440, -49450?\n\"Answer: -g**2 + 3*g - 49422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2\/4 - 791*f\/2 + 29772 = 0.\nAnswer: -1654, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q + 19. Let w(g) = 8*g + 9. Let o(n) = -3*a(n) + 5*w(n). Is o(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61142 (base 8) to base 15\nAnswer: 76e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-24) - 13\/52) + 1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3515337 divided by 502191.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 20*o + 225. Let p be z(-11). Solve -3*y - x - 12 = 0, -3*y - y = p*x + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -251056, -1004239, -2259544, -4016971, -6276520?\n\"Answer: -251061*b**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37478284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, -5, -1 in ascending order.\nAnswer: -5, -1, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15\/76 + -1\/19. Let r = 0.768 + -1.168. Suppose 0*y - 8 = 2*y. What is the smallest value in y, q, r, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -5\/102 (c) 4656\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-14)*w)\/((w**(-5)*w)\/w*w))\/(w**(-5)\/w*w)**2 assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1663*q + 713*q - q**2 + 322*q**3 - 1169*q - 173*q + 3*q**2 wrt q.\nAnswer: 1932*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s - 695. Let n = s - 33. Let j = -116 - n. What is the highest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(2*b + 0 + 0) - 4*b + 0*b + 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 42. Let r be (4\/(-6))\/((-14)\/j). Let z = r + 5. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 12:53 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -12. Suppose 0 = 4*a - 5*l - 12 - 24, 0 = -t*l. Let z(r) = 5*r**2 - r + 1. Calculate the remainder when a is divided by z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 24472*r - 24477*r - 8, -2 = -2*r + 3*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(6\/(-10))*1. Let r(c) = c**2 - c - 13. Let g be r(0). Let u = g + 16. Solve -u*f + 0*q - 11 = -q, -5*q - v = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3125660 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -0.1, -0.3 in descending order.\nAnswer: 10, 0, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -6, 26, 94, 210, 386, 634, 966?\n\"Answer: 2*f**3 - 6*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n + 192 = 111*n - 60*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) - (-2*(sqrt(128) + 0)**2 - sqrt(128)) - ((0 + sqrt(128))*3)**2 - (4 + 1 + sqrt(128) - (sqrt(128) - 4*sqrt(128)*-2))**2.\nAnswer: -9113 + 656*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23658 and 0.15.\nAnswer: -3548.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4160*a + 287 + 290 - 577 in the form x + v*a and give v.\nAnswer: 4160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/7 + 108006*d\/7 + 30860 = 0.\nAnswer: -2, 54005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -261, -395, -527, -657, -785, -911?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43104 - -2?\nAnswer: 43111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - q + 755, 2*c + 1520 = 4*q. Let h = -504 + 507. Let f be ((30400\/h)\/(-4))\/((-10)\/c). What is f rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 minus -15?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851188741.\nAnswer: 13, 41, 43, 37139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, -3.6, -0.4, -4\/9 in ascending order.\nAnswer: -3.6, -1, -4\/9, -0.4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -10*c**5\/3 + 94*c**4\/3 - 106*c**3\/3 - 62*c**2\/3 + 116*c\/3 - 32\/3 = 0?\nAnswer: -1, 2\/5, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c. Suppose 0 = -2*k + 28 - c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 9*a - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 21*o**2 + 23*o + 20. Calculate y(22).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2*(-1)\/2. Let z = 23 + -26. Let j = z - -1. Which is the third smallest value? (a) -4 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 24 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1352.5672.\nAnswer: 135.25672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 9*q + 11. Let y be n(-8). Let m(z) = -z**2 - 17*z - 3. Let s be m(-15). Calculate the highest common divisor of y and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6*c + 45. Let y = -236741\/16863 + 5124\/803. Let a = y + -27\/154. Calculate the common denominator of c and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:01 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*m + 12, 2*m = 3*s + 3*m + 10. Let u = 1\/148 - -437\/1036. Which is the third smallest value? (a) s (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 292 = -n, -3*w - 100 + 396 = 2*n. Let u = w - 489\/5. Which is the biggest value? (a) u (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 284, 567, 850, 1133?\n\"Answer: 283*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.288 - -5.29. What is s rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 21010?\nAnswer: 147070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2716, -10777, -24196, -42967, -67084?\nAnswer: -96541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 + 159. Let h(c) = 36*c - c**3 - 22*c + 3*c**2 - p*c. Let f(k) = -2*k**3 + 5*k**2 - 5*k. Give -6*f(l) + 10*h(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 28*p + 24*p**2 - 12*p + 192*p**2 - 16*p. Let h(i) = -23*i**2. Determine h(u(n)).\nAnswer: -1073088*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*o + 5, -2*w - 6*o - 4 = -2*o. Let l be (-4)\/2 - 1818\/(-798). Let r = l + -8\/19. Which is the closest to 0.1? (a) w (b) r (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 2.6. Let q = 0.12 + 0.08. Which is the third biggest value? (a) 1\/7 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 41, 0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -20*v**2 - 1911*v - 1042. Calculate d(-95).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100020 - -200102222012?\nAnswer: 200102121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 700\/(-12)*(-2)\/10*(-90)\/30\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**31\/m)*m*m\/((m\/m**(-9)*m)\/m) assuming m is positive.\nAnswer: m**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let q = 5 + y. Let o = q - 0. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24457*s + 1315793 = 239685 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 249245 and 0.010275.\nAnswer: 249245.010275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 d, and 1 p when three letters picked without replacement from {b: 1, p: 1, d: 4, l: 2, e: 3, k: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 32 = -2*n, -1 + 0 = -n. Suppose -3*b + r = y + 2*b, 0 = 2*b + 6. Solve 0*z + 5*z = -y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 2*h - b, -2 = -h + 4*b. Suppose 0 = h*o - 4*o + 16. Suppose 0 = -o*p + 13*p - 40. Calculate the smallest common multiple of 4 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgqf when four letters picked without replacement from {f: 5, g: 1, q: 2, e: 1}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.0878 rounded to one dp?\nAnswer: -24.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1005\/2 - 2375\/4*f + 15\/4*f**3 + 485\/2*f**2.\nAnswer: 5*(f - 3)*(f + 67)*(3*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -53140.73 and -0.1.\nAnswer: -53140.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-4)\/((-12)\/9). Suppose -3*f + 10 - 4 = r. What is the second derivative of 5*p**2 + 5*p + 2*p**5 - 5*p**f + p**5 wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -16\/393 (c) -19 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1100)*-2 + -5 + sqrt(1100) + (sqrt(1100) - (sqrt(1100)*2 + sqrt(1100))) + 5 + -1 + sqrt(1100) + -5 + sqrt(1100))**2.\nAnswer: 360*sqrt(11) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*(-411 + 315)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -7 + (12 + 8 - 8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 723 - 719. What is the second derivative of s**2 - s**2 + 211*s + 70*s**4 + 61*s**o + 20*s**4 wrt s?\nAnswer: 1812*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 0.35. Let j = 3306 - 3311. Which is the nearest to j? (a) h (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-76260)*-41*-5*(-7)\/(105\/(-12))\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -151, -157, -165, -175, -187?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2. Let a be ((-42)\/9 + 0)*(-12)\/14. Let d(j) = j**2 - 7*j**2 + 8*j**2 - a*j**2. Determine p(d(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -473 - -491. Suppose -d*n + 18 = -36. Let j(t) = -t**2 - t + 4. Determine j(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 0, -8 - 70 = 3*z + 5*h. Let q = 24 + z. Let p(r) = -1 - r**2 + r**3 - 5*r + 2*r**2 + 2*r. Calculate p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/30 - o**3\/6 - 4*o**2. Let l be m(-2). Let q(z) = 8*z - 4. Let p be q(l). What is p rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-21))\/o)**(18\/13)*(o*o\/(o\/(o**(-5)*o))*o)\/(o**(1\/20)\/o))**(-36) assuming o is positive.\nAnswer: o**(70497\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 5. Suppose -4*x = -5*x + 13. What is the remainder when x is divided by ((-4)\/(-6))\/(m\/105)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2*x - 2. Let l(z) = -z**2 - z - 1. Let i be ((-2)\/(-6))\/(4\/(-12)). Let m(b) = i*f(b) + 2*l(b). Let v(r) = -3*r**2 + 21. Determine m(v(d)).\nAnswer: -9*d**4 + 126*d**2 - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1484)\/(-219632)*((-1)\/1)\/((-4)\/16)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -68, -89, -110, -131?\n\"Answer: -21*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -61. Let o(f) = -f**3 - 6*f**2 - 4*f. Let b be o(-5). Let r = x + b. Calculate the least common multiple of r and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*s - 56 = 80*s - 4*b, 0 = b - 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 - 10*w**2 - 9*w + 28. What are the prime factors of g(-6)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.5 (b) -827614 (c) 4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*r, -4*q + 10*r + 7208 = 6*r. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2655528 times -0.1\nAnswer: -265552.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.4349 times 8934\nAnswer: -12819.3966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9)\/(((-8)\/(-12))\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = 10*b - 5*b + 4*f, -125 = 3*b - f. Let y = b + 43. Solve 7*o + y = -35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 + 1985*k**3 + 53235*k**2 - 2434445*k + 18147220 = 0?\nAnswer: -364, -59, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*z = 40, 25*z + 7 = -2*n + 28*z. Solve 4*i + 8 = -4*g, 2*i + n*g - 19 = 7*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231132001 (base 4) in base 7?\nAnswer: -1403656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 2. Let q be o(3). Suppose 5*v - 148 = q*v. Calculate the least common multiple of 22 and v.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/(-876))\/((-1)\/(-228))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfcfcfccagfxfcaafgfc. What is prob of sequence ccg?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + q. Let i be o(-1). Suppose i*f + 4*j - 5 + 21 = 0, 16 = 2*f - 4*j. Sort f, -4, 5 in descending order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 1, k: 2, b: 1, d: 4}. What is prob of picking 1 b and 2 k?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4*n - 2)*(2*n - n - 2*n)*(2 + 0 + 0) to t + m*n**2 + j*n and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-24)*-9*4*-2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2 = -3*t - 3*u, 3*t - 4*u + 8 = 0. Suppose -2*h = -2*y - 8, -10*h - 2*y - 14 = -15*h. Solve -h*o + t*o = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-550780)\/16)\/(45\/(-36)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y\/(y\/(y*(y*y**1)\/y)))\/y)\/y))**(1\/13)\/(y**(-1)\/(y**(-10)*y)) assuming y is positive.\nAnswer: y**(-103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r**2 + 41. Let l be u(0). Is l > 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521963161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -56. Let i(j) = -j**2 + 28*j - 27. Let t be i(27). Solve -m + n*l - 14 = t, -4*l = 2*m - 7 - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704330 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b**2 - 2*b**2 - 2*b**2)*(-57 + 10*b - 28*b + 12*b) to y + q*b**2 + h*b**3 + z*b and give q.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -252\/177235?\nAnswer: -252\/177235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -17*m - 192. Let x(c) = 2*c + 24. Let d(z) = -u(z) - 8*x(z). Let w(p) = -25*p + 2. Calculate -3*d(y) - w(y).\nAnswer: 22*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 94, 212, 440, 814?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 22021002020021?\nAnswer: 22021002020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10504, -21012, -31520, -42028, -52536?\nAnswer: -63044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-1008)\/8)\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 58.83 (c) -10.4 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*104\/(-39)*2\/(-12)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*f)*(-140*f + 2*f**2 - 24 + 140*f) in the form r + i*f + y*f**3 + t*f**2 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from nzazwa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -36*v**2 + 58*v. Calculate f(-2).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -69, -78, -91, -108, -129?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 9*c - 8. Let t be (-6)\/42 + 2\/14. Determine b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 6*q**2 - 5*q - 12. Let y be m(-6). Let c be (-4)\/y - (-1264)\/18. Suppose 0*s = 2*s + c. Are -35 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m**(-1\/3))**(-2\/7) assuming m is positive.\nAnswer: m**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 38. Let u = -156 + 160. What is the least common multiple of u and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7256852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 289057.2 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2702 = 40*q - 1702 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003423177 to seven dps.\nAnswer: -0.0000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891289 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + b - 6*b + (-2 - 4 + 1)*(-1 - b + 1))*(b**2 + 322*b**4 - 655*b**4 + 325*b**4).\nAnswer: -24*b**5 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 4*d - 2. Let y(w) = -16*w**2 - 17*w - 8. What is 9*t(j) - 2*y(j)?\nAnswer: -4*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6 - 3 - (7 + -16)) + -54?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35360625 is divided by 120.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -434, 7, -5, 3, 175, 5 in increasing order.\nAnswer: -434, -5, 3, 5, 7, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((146\/803)\/(30\/33))\/(2\/904990) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*w = 4*w + 18, 12 = 3*d + w. Let j(p) = 8*p - 1 - 6 - d*p + p**2. Suppose 0 = 2*o + 6, 5*y + 4*o = 3*o - 28. Calculate j(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*u - 15 = 103*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3738\/17 + -2320703\/10557. What is the common denominator of 73\/135 and u?\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671781.734 rounded to the nearest 100?\nAnswer: 1671800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11035 (base 6) to base 12.\nAnswer: a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/7 - 1076469560*m\/7 + 144848339200824200\/7 = 0. Calculate m.\nAnswer: 269117390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -443366 times 1.22?\nAnswer: -540906.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1792*f**2 + 7121*f**2 - 1776*f**2 - 1788*f**2 - 2 - 1788*f**2.\nAnswer: -23*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsdgdnssfdf. What is prob of picking 1 d, 1 n, and 1 g?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*v - 21 = 0, -2*s - 3*v - 25 = 2*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/60)\/(21\/(-2))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -c9b?\nAnswer: c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 3. Let p be s(0). Solve 0 = -i + p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -2*d**4\/3 - 6*d - 19. Let b(a) = -163*a. Give s(b(m)).\nAnswer: -212552*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.1, -0.2, 2\/15, -12\/7, 3 in decreasing order.\nAnswer: 16, 3, 2\/15, 0.1, -0.2, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/246 and 63\/3608.\nAnswer: 10824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.1 + 18.9. Let f = g + -70.3. Let r = f - 2.7. Which is the third smallest value? (a) r (b) -2\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2. Let y(k) = -k + 6. Let v(r) = -3*l(r) - y(r). Let t(g) = -22*g - 3. Let h(x) = -23*x - 4. Let s(u) = 3*h(u) - 4*t(u). What is v(s(a))?\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1396 = -99*r + 10405. Suppose 0 = -4*u + 2*p - 38, 0 = -5*u - 3*p - 24 - 29. Let v = 39 - u. Calculate the remainder when r is divided by v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + 1 + (-47 - -49).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -984019 - 227.632.\nAnswer: -984246.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2013 and -38.\nAnswer: 76494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -168\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 8. Let b be f(8). Which is smaller: b or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 73*v**2 + 1146*v + 102. Calculate p(23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + (0 - (0 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - i = 5*a - 248, 2*i = 0. Suppose 5*k + a = 152. Calculate the smallest common multiple of k and (-2)\/((6 + -4)\/(-8)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 4123668?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**2*t**3 - 2*d**2*t**2 - d**2 - 2*d*t**4 + 3*d*t**2 wrt t.\nAnswer: 30*d**2 - 48*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*17528.\nAnswer: -35056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12833 - -14875. Sort -4, 1, m.\nAnswer: -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48300 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*l + 60, -2*l + 3*p + 24 + 16 = 0. Suppose -2*n + 4*f + 140 = 2*n, 4*n - 110 = -2*f. Calculate the greatest common factor of n and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 63*d**3 + d**2 + d - 2. Is 21 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p. Let w(h) = 18524965*h**2. Calculate w(n(s)).\nAnswer: 74099860*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640647.\nAnswer: 3, 7, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2, -5, -1\/4, 335?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 15*h - 17*h - 44 = 12*k + 8, 45*k - 5*h + 160 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210*d - 360 = 492*d + 17984 + 21146 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/88? (a) 0 (b) 1\/18 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515, 719, 923?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/252)\/(106\/(-159)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 636.8382 litres?\nAnswer: 636838.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 4*h**2 + h - 7. Let i be (-3)\/((-6)\/(-10)) + 0. Let t be s(i). What is the common denominator of t\/16 + 3\/6 and -97\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 55\/4 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 + -1)*62\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - -101?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41.63267 times 0.207\nAnswer: 8.61796269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4986 + -4982. Let f = 0.1 + -0.2. Which is the nearest to f? (a) -1\/2 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 2\/5, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1392223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Let n = -2226 - -2231. Which is the closest to 0? (a) n (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -399*j + 2117*j + 2329*j in the form w*j + y and give w.\nAnswer: 4047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 5*w + 15. Let i be j(5). What is the units digit of (212\/10)\/(-3*(-2)\/i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5038100\/151 and 33365 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, 1\/3, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9266 - -10054. Calculate the remainder when o is divided by 130.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 + 1467*h**2.\nAnswer: h**2*(h + 7335)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 19, -9?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10906 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-4)*((-48)\/64)\/((-315)\/36)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0 - 4. Let f(w) = -w**2 + 4*w + 4. Let x be f(c). Let o be x\/(-16) + -7*2\/(-120). Put o, 1, 0.1 in increasing order.\nAnswer: o, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71*0.11\nAnswer: 7.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20336 divided by 5084?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245 - 244.978. What is the third smallest value in -5, -2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.343 - -3.313. Which is the closest to 2? (a) k (b) -0.4 (c) 10 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -0.4 (c) -5\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 10*z + 14. Let q be ((-2)\/(-10))\/((-5)\/25)*-7. Let c be x(q). Is 9*(-2 + 1)*c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -a - 8. Let k = a + 271\/5. What is the common denominator of 89\/2 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**3\/5 + 48*s**2\/5 + 9*s = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/12 + 11*u**3\/6 - 3*u**2\/2 - 132*u. Give q(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1883 - -1882.998292. Round c to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.2 + -8. Let z = -7.2 + t. Let o = -4.6 + 5. Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 847.999995688 + -848. Round p to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -436 or -1274?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -6, -18, 4, 15 in decreasing order.\nAnswer: 15, 4, -6, -18, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158 - 138. What is the third derivative of -23*u**3 - 6 + u**4 - 2*u**2 + q*u**3 + 21*u**3 wrt u?\nAnswer: 24*u + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2069000 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 4a0645?\nAnswer: 4a0648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1369 in 5\/6, 1\/6, 1\/4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**4\/4 - j**3 + j**2 - 5*j - 86. Let d be 9 + ((-9)\/3 - -1). Let i(g) = -3*g**3 - 7*g**2 + 5*g - 11. Give d*h(b) - 3*i(b).\nAnswer: 2*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*c - 7 = 1, 0 = 3*y - 4*c - 13. Suppose d + 15 - y = 0. Let w be 20\/(-65)*(-6)\/d. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5))\/(g**(2\/25)\/g) assuming g is positive.\nAnswer: g**(-77\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 - -6 - (-59 - -63)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u - 528 = -87*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 7*k - 5. Let i be y(-5). Suppose -74 = i*d + 1. Let u be (5\/d)\/(2\/30). Which is the third smallest value? (a) u (b) -2 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmgg when four letters picked without replacement from {g: 12, v: 2, m: 5}?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-12 - 0) + (-1 - (-10 + 0)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 12*y + 97 = 212. Let k be (-7)\/3 + 1\/3. Let b be 4\/(-20) - (-2)\/10. Sort y, -4, k, b in decreasing order.\nAnswer: b, k, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 1. Let g be d(-5). Let p be 140\/30 - (-6)\/(-9). Is 14\/p*g*145\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -34. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 26, 141, 346, 659, 1098?\nAnswer: 1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-6*-2*(sqrt(17) - sqrt(68)\/(sqrt(4)*-1)) - (-3*(sqrt(119) - sqrt(119)*2))\/(sqrt(42)\/(sqrt(24)\/sqrt(4)))))**2 + 4.\nAnswer: 187429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*h - 24 = 0, 1156852*x - 1156856*x + 5*h - 24 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((((y**(3\/2)\/y)\/y)\/y*y)\/y))**(-34)\/(y**(2\/21)*y*y\/y**42*y) assuming y is positive.\nAnswer: y**(-968\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29915*g**2 - 956*g + 134441910.\nAnswer: -59830*g - 956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3654 and 51618.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 2. Let u(j) = 7*j + 5. Let p(g) = 11*g + 8. Let k(s) = -5*p(s) + 8*u(s). Let n = -14 + 10. Calculate n*k(h) - w(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (51\/(-2))\/(21\/(-28)). Let k be b\/84 - (-5)\/(-10). Put 59, k, 0, -0.2 in decreasing order.\nAnswer: 59, 0, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4595829*y - 1479524 wrt y.\nAnswer: 4595829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38687371 = -4*h - 2687371. What is h rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -715, -360, 299 in ascending order.\nAnswer: -715, -360, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3326613 + -1?\nAnswer: -3326614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -807465.3 rounded to the nearest 10000?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001840189 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apmp when four letters picked without replacement from pempa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 64 = -2*c - 4*y, 31*c = 39*c - 2*y + 58 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117860169, 235720349, 353580541, 471440751, 589300985?\nAnswer: 707161249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -48*m**3 + 27*m. Let a(w) = 7*w**3 - 4*w. Let j(g) = g**3 - 7*g**2 + 5*g - 8. Let y be j(7). Determine y*a(h) + 4*p(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - g - 2*g - g + g wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (920 - -6 - -7) + 1 + 2. Suppose 8*y = -10*y + n. What is the smallest common multiple of y and 28?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 e, and 1 a when four letters picked without replacement from appooep?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 6. Let l = 19 + -10. Suppose l*s + s = 40. What is the least common multiple of d and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbkd when four letters picked without replacement from jekjedjjetjeeebekdek.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f**(2\/15)\/f))*f**25 assuming f is positive.\nAnswer: f**(362\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1438.9612 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5968 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*z + 16, 2*y - 5*z = -6*z + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (363\/(-242))\/((-1)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*t + 611996, 5*a - 764992 = 2*t - 6*t. Round a to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 35\/15 + (-8)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 2*a + 6. Let k(b) = b**2 - 3*b + 6. Let f(p) = 3*k(p) - 4*o(p). Suppose -5*u - 4*z = 4, 5*z = -5*u - 0*z - 5. Give f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16c0 + -3?\nAnswer: 16ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - 3*l + 5. Let i be (-64 + 1)\/(-27 + 26). Let z be -2 + (-24)\/(-13) - i\/13. Let o(b) = -b**2 + b - 1. Calculate z*o(r) - j(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n - 2*n)*(2 - 2 - 2)*(18*n + 1 - 14*n + 11).\nAnswer: 8*n**2 + 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 82 = -4*k, 0 = 3*p - 217*k + 220*k - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1857102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*h + 20. Let p = 44 - h. Let b = 27 - p. Solve b = -3*j - j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2262, 2263, 2264, 2265, 2266, 2267?\n\"Answer: t + 2261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 8*i - 9. Let k be a(7). Let b be 4*(-116)\/24*36. Is 14\/3*b\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*g**3 + 1\/2*g**4 + 3\/2*g**2 + 0 + 1\/2*g.\nAnswer: g*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*o*q**4 + 2*o*q**2 + o*q + 109*o wrt q.\nAnswer: 1572*o*q**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3190 - 2563. What is the least common multiple of 570 and n?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14256)\/(-990)*((-1)\/(-2) - -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 20 = -5*x, 5*x + 10 + 16 = -6*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/120 - o**4\/24 + 2*o**3\/3 + 8*o**2. Let i(n) be the first derivative of r(n). What is i(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/3851 - 61598\/34659. Let m = d - -73\/36. Which is the smallest value? (a) -2\/3 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -16. Suppose 2 - a = -2*s - 3*b, 90 = 5*s + 2*b. What is the units digit of (-2)\/(-7) - s\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(112) + sqrt(112))**2 - (4*sqrt(196))\/sqrt(7).\nAnswer: 72*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/108)\/(((-12)\/(-14))\/((-183)\/2562))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -42*(36\/(-60))\/(105\/10)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 10*o**2 - 10*o - 8. Let r be b(11). Suppose -2*n - r*n + 1270 = 0. Suppose 6*x - n = 112. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**2 - 7*r**2 - 4*r + 4*r. Let m(o) = 10*o. Calculate m(z(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 4, -2*f + 2339 = -85*b - 17*b - 975 - 464 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 5. Let o = -1 + 2. Let r(b) = -1 - o + 3. Suppose 0 = c - 0*c - 3. Calculate c*r(s) - h(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(1 - 24\/21). Which is the third smallest value? (a) -7\/2 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = p - 15. What is the smallest common multiple of (-1)\/((-1)\/(22\/2)) and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*d + 6 = 0, -4*y - 2*d - 40 = -10. Suppose -35 = -3*g - 23. Put 1, y, g in descending order.\nAnswer: g, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**22*v*v)\/v**(-2\/49))\/(v\/((((v**(-2\/29)\/v)\/v)\/v)\/v)*v)**37 assuming v is positive.\nAnswer: v**(-283505\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2184*v + 2169*v + 60. Solve 0 = c + v*q - 13, 3*q = 3*c - 8*c + 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/21 + (-31450)\/4284 and (-4)\/(-16)*3\/(-18)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(9 + 11 + 33)*(110*t**4 + 74*t**4 - 47*t**4) to the form j + n*t**4 + q*t + o*t**3 + v*t**2 and give n.\nAnswer: 7261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*t - 3823, 5*t = v - 48 - 914. What are the prime factors of v?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 - (-108)\/21)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.016148 < 7147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 150, 301, 452?\n\"Answer: 151*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Let v be i(-3). Let w(q) be the first derivative of -q**3\/6 + 2*q**2 - 60*q - 24. Let c(h) be the first derivative of w(h). Determine c(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/12)\/(4\/(-30)). Suppose k*u - 34 - 6 = 0. What is the remainder when 31 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 512984 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41993 = -8*j + 260735. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) -24647 (b) -1.062 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*z - 13, 3*o = -o - 5*z. Suppose 2*d - 5*d - o*i + 120 = 0, 2*d = -2*i + 80. 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 r(n) = 10*n**2 + 117*n - 1953. Determine r(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33044.27 nanograms?\nAnswer: 0.00000003304427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 10:57 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70.296 + 48.32. What is c rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1656*f + 18219. Calculate m(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/33 + 2\/11. Let z = -2.787 - -2.787. Which is the smallest value? (a) m (b) z (c) -92 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 17*g**2 + 0*g**2 - 28 in the form s*g**2 + c*g + i and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 954334 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1562 + 1564. Let l(n) = 3*n**3 - 4*n**2 + 7. Calculate l(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqqg when four letters picked without replacement from {j: 2, g: 1, q: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -1. Let y(d) = 3*d**2 - 3*d + 2. Let r be y(2). Suppose m + r = -2*z - z, -5*m - 12 = z. What is the nearest to 0.2 in 3, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.21609, 1\/2, -3\/5?\nAnswer: 0.21609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2435*h + 139 - 139 - 2*h**2 in the form v*h + m + r*h**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376783, -753570, -1130357, -1507144, -1883931, -2260718?\nAnswer: -2637505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -22*s + 386. Let a be y(13). Calculate the greatest common divisor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33189*j**3 - 1325*j**3 - 31861*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 16) to base 10\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -523355 or -523353?\nAnswer: -523355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/45*(12\/(-8) - 1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 96 + 14*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 u when three letters picked without replacement from {x: 2, b: 3, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/5 - 466*d**2\/5 + 1908*d - 9072\/5 = 0 for d.\nAnswer: -252, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 3 + 3. Let q(n) = -n**3 - 8*n**2 - 10*n - 10. Let o be q(-7). Let w(d) be the second derivative of d**3\/6 - 44*d. Determine o*w(p) + 4*g(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 9 + 11 - 25 + 3*h**2 as o + g*h + r*h**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 3) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1010110?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 11:24 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2956.652 to the nearest integer.\nAnswer: -2957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 + 619830*k**2 + 619744*k**2 + 5*k**3 - 1239574*k**2.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (-5 + -1 + 25)) + -24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 + 2*p**2 - p. Let a be u(1). Let d = 376 - 245. Suppose -77 = -16*o + d. Are o and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*m + 411*m - 1146 = -107*m. Solve 6*x + 8 = 5*x - 4*l, x + 1 = m*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 5\/28, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.3 - -33.4. Put 1, v, 0 in increasing order.\nAnswer: 0, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503721 is divided by 6369?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -0.028\nAnswer: -0.00308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 46.76512 hours?\nAnswer: 168354.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9. Suppose d = 4*c + 4*x - 112, -2*c = -5*x + x - 26. Suppose 5*i - c = 17. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66069 - 66086 + 198244 - 59*a - 66089.\nAnswer: -59*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 18*i + 9. Let d(k) = 10*k**2 + 89*k - 45. Let p(a) = -2*d(a) - 11*g(a). Does 6 divide p(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 1\/12*h**4 + 3*h + 0*h**2 + 0 + 0*h**3. Let o(v) = 45*v + 52*v - 100*v. Calculate i(o(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0 (b) 4 (c) 1\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {b: 1, d: 1, r: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 393*a**2*y**4 - a**2*y - 23*a*y**2 wrt y?\nAnswer: 9432*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + s)*(2*s - 1 + 1) + 1 - 2*s - 444*s**2 + 203*s**2 + 264*s**2.\nAnswer: 21*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137693.2300039 + -137693.86. Let u = m + 0.63. Round u to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 12\/25 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6888 and 115\/53382.\nAnswer: 213528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91.49 + 92. Let f = w + 3.49. Which is the smallest value? (a) f (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**3\/6 + 69730*s**2\/3 - 486227290*s\/3 = 0.\nAnswer: 0, 13946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -25*x**2 + 26*x**2 - 144 + 141 - 3*x. Calculate u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13575.0654 to zero decimal places.\nAnswer: 13575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215305 is divided by 1593?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sso when three letters picked without replacement from soososxxxos.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*10*22\/(-55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-71 - -3)*(441\/(-4) + 14).\nAnswer: 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625905587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*b**2 + 231*b - 142*b + 273*b**2 + 187*b.\nAnswer: -b**2 + 276*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*((o\/(o*((o\/o**(16\/3))\/o)\/o))\/o)\/o))**33\/(o**(-6\/25)\/(((o\/o**(30\/7))\/o)\/o)) assuming o is positive.\nAnswer: o**(-25908\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049901497 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*l + 552, 2*l - 1836 = 5*y + 912. Let w = -550 - y. Sort 66, -3, w.\nAnswer: -3, w, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-222780)\/240)\/(-79))\/(-1)?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7313940071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 - 58*o**4\/3 - 124*o**3 + 56*o**2\/3 + 272*o - 448\/3 = 0. What is o?\nAnswer: -4, -2, 2\/3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -22.53, -3.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/686 and 45\/28112?\nAnswer: 1377488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 138.5?\nAnswer: -136.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = 5*r, -22 + 16 = 3*r + o. Put -528, -1, r in ascending order.\nAnswer: -528, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i**2 - 1. Let k(n) = 2*n**3 + 11*n**2 + 5*n + 14. Let w(q) = -c(q) - k(q). List the prime factors of w(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27373*n**2 + 27374*n**2 + 1 + 133*n - 1 + 2 as y + b*n + l*n**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*l - 229250 = -39*l. Do l and 1835 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 12) to base 13\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g, -4*p - 2*g = 2*g - 16. Let o be 28\/(-2)*(-2)\/p. Let r = o - -6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -107?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from pbdyyypbebbbyp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 819208*y - 83887718408.\nAnswer: -2*(y + 204802)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*z - z - 15, r + 3*z = -9. Put -6, r, 0.1 in ascending order.\nAnswer: -6, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10843, 10841, 10839?\n\"Answer: -2*z + 10845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, 1, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4134120434 (base 5) in base 16?\nAnswer: -81c4ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (-200)\/35 + (14 - 1). Factor 38\/7*f**3 - 38\/7*f + 0 - 2\/7*f**2 + x*f**4.\nAnswer: 2*f*(f - 1)*(f + 1)*(f + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 21 - 21. Suppose 3*u - 15 = n, -6*p + 4*u - 428 = -8*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkhh when four letters picked without replacement from {p: 1, j: 1, f: 1, c: 2, h: 2, k: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 8 = 28. Solve c*m + 4*i - 32 = 4, i - 12 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*w + 59 = q, -4*q - 4*w + 212 = 0. List the prime factors of (q\/(-45))\/(1\/(-40)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0856845 to 3 dps.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 142661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 141*z - 32*z)*(2*z**2 - 3 + 3).\nAnswer: -346*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 672807 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4463 divided by 101505.\nAnswer: 4463\/101505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 1\/10 (c) -33 (d) 0.5 (e) 21 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**3 + 9*z. Let b(r) = -4*r**3 - 5*r. Determine 11*b(i) + 6*l(i).\nAnswer: -2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*r = 11855 + 5130 - 1690. Suppose 2*t - 6*t = -3*i + 191, i + t - 52 = 0. Calculate the highest common divisor of i and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - w. Let o be p(-3). Solve t = -3*l + o, 3*t = -2*l - 3*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m. Let a(w) = 21*w - 1482152. What is g(a(u))?\nAnswer: 168*u - 11857216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 3*s - 8)*((-3 + 0 + 1)*(1 + 3 - 5) - 3 + 0 + 5 + 1 + 1 - 3) + 0*s + 2*s - s to the form m*s + c and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/3 + -4)*-75. Calculate the greatest common divisor of r and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 10*y**2 - 9*y + 3. Let w be s(-9). Let u be 3 + (-8)\/(-12)*w. Which is the biggest value? (a) 3 (b) 1\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195847, 391748, 587649, 783550?\nAnswer: 979451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771778 is divided by 38.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37963661 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 882 divided by -7.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -2\/11, -4 in decreasing order.\nAnswer: -2\/11, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13776, -13774, -13772, -13770?\nAnswer: -13768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**46*(t**(-2\/5))**49 assuming t is positive.\nAnswer: t**(-754\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 68 = 5*n - 157, -2*k = n - 53. Find the common denominator of ((-3)\/2)\/(9\/n) and -59\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -822*14\/(-714) - 16. Which is the nearest to n? (a) -3 (b) 1\/4 (c) 3 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600659 is divided by 1239.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwuukwwwuuk?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6451\/17 + 380. What is the common denominator of v and (-10)\/(-4)*(-69)\/(-9)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z - 1\/32*z**4 + 0*z**3 - 6 + 2*z**2 - 1\/160*z**6 - 1\/40*z**5. Let x(u) be the second derivative of b(u). Factor x(y).\nAnswer: -3*y*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 0 + 3 - (-1 + (sqrt(3) - (sqrt(9)\/sqrt(3) - sqrt(3))))*-4) + -6*(3 + sqrt(12)\/sqrt(4)) + (0 + sqrt(9)\/sqrt(3))*-2)**2.\nAnswer: -38*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 3 + 0 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19670800397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3 + (-4*sqrt(130)*2)\/(sqrt(90)\/sqrt(9)*-2))*5)**2.\nAnswer: -400*sqrt(13) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbb when three letters picked without replacement from vukbuvqumvbm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (385\/2 - 1)\/(56\/112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 53*w - 258. Give l(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179 (base 14) to base 2.\nAnswer: -100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyyg when four letters picked without replacement from {g: 8, y: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - 2.9. Let c = j - -4.2. Let k = -404 - -404.01. Are k and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/3)\/(4\/6). Suppose 0 = m - a - 14, 0*m - k*a + 11 = m. Let y = 42 - m. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242+24878086791\nAnswer: 24878086549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let i(r) = 3*r + 5. Let u(m) = i(m) - 4*o(m). Let h be u(0). Solve 4*n = 3*n + 4*c + 8, 8 = h*n - 4*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 + 8356*w - 8727842 = 0. Calculate w.\nAnswer: 2089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -63*r + 5. Let d be c(-5). Calculate the lowest common multiple of ((-3)\/2)\/((-24)\/d) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/9 - 95*b**3\/3 + 23746*b**2\/9 - 153088*b\/3 - 1015808\/9 = 0.\nAnswer: -2, 31, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (770\/40)\/((-2)\/(-16)). Suppose 56*y - u = 45*y. Calculate the remainder when -4*(2 + 57\/(-4)) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.12 and 1.9.\nAnswer: -7.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1655121 and 23777.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -30*f. Let x(b) be the second derivative of -b**4\/4 + 29*b**3\/6 - 3*b - 1077. What is x(y(l))?\nAnswer: -2700*l**2 - 870*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 + 1842*a - 50740604\/11.\nAnswer: 2*(a - 2078)*(a + 12209)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 843640*q**2 - 201620.\nAnswer: 1687280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - -3) + -4 - 1. What is the tens digit of (0 + 3 - 0) + 408\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 10*q - 24. Suppose q*t - x - 393 = -2*x, x + 195 = 2*t. Suppose -2*a = 5*a - t. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x + 600. Calculate the remainder when x is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 1 - 2 + 3.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2089*p**2*r - 2743*p**2 wrt r?\nAnswer: 2089*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*o**2 - 7082*h**2 - 3*h*o**2 + 108*h*o + 15 wrt h.\nAnswer: 6*o**2 - 14164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28 - 0.03. Let w = y + 0.3. Let x = w + 0.51. Which is the smallest value? (a) -1\/7 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6370618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7 - 3*q + 8*q - 8*q**2 + q**3 + 0*q**3 + 4*q. What is the smallest common multiple of s(7) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226.9 + 227. Which is the second biggest value? (a) 1 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**6\/u)\/u)*u*u*(u*u*u*(u\/(u\/(u\/(u*u**(-11)*u))))\/u)\/u*u)\/(u**3\/((u\/(u\/(u\/u**8))*u*u)\/u)) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 2464296?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 781, -3\/7, -0.2, -5, 1, -2\/13 in increasing order.\nAnswer: -5, -3\/7, -0.2, -2\/13, 1, 781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-6)\/(-2))\/3*16\/((-96)\/141)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyynynynnnt. What is prob of sequence ynt?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 + 3*y + 2. Suppose -2*b + 29 = 39. What is d(b)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 + 9*w - 12. Let v(x) = -6*x**2 + 6*x - 11. Calculate -2*g(o) + 3*v(o).\nAnswer: -8*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*u = -80*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -777\/1930 + 1\/386. Let h(u) = 2*u**2 + 7*u. Let n be h(-6). Suppose -3*w = -3*b - 27, 3*b - w + n = -b. Which is greater: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(-1 + sqrt(1216) + 1 + -1 + -1 - (-1*sqrt(1216) + 4 + -3*-3*sqrt(1216))))**2.\nAnswer: 268800*sqrt(19) + 23848000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17528 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*r + 128. Is (-5)\/(r\/(-16)) + 1073 - -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/8)\/((-1)\/46). Suppose -1604 = -5*g - 569. Calculate the highest common divisor of g and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (2\/7)\/((-15)\/(-420)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 16 = -164. Let t(l) = l**3 - 7*l**2 - 7. What is the remainder when t(8) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-5670))\/(52\/(-390)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1778441537.66 - 36950452.34. Let z = 1815391876.99999898 + n. Let l = -113 - z. Round l to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*-13.7\nAnswer: -82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5 = -3. Let i(p) = 2*p - 3*p**2 + v*p**2 + 0*p**2. Determine i(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/4 - (-154)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4961821 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -1, 4, -0.1 in ascending order.\nAnswer: -88, -1, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3314 is divided by 359?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 12. Let h = -3 + c. Suppose 0*i - 90 = -h*i. What is the greatest common factor of 45 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3944421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 13 = -4*f + 3*f, -32 = -2*j - 4*f. Let l(g) = -10 - j - g + 24. Let r be l(4). Solve r = p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:02 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -1. Let a be (-2)\/v*2*6576\/32. Suppose 6*w - 69 - a = 0. What is the highest common divisor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -3.07 (b) 1\/23 (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 - -180.1. Which is the smallest value? (a) 2\/9 (b) -0.05 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132962.\nAnswer: 2, 19, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Suppose 0 = r - 4, -n = r + t*r - 277. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7)**8 assuming x is positive.\nAnswer: x**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -562, -1060, -1556, -2050, -2542?\n\"Answer: g**2 - 501*g - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54401 + 318*o**2 - 177*o**2 + 54402 + 123*o**2 + 449*o**2 to the form v + m*o**2 + g*o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:25 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5 (c) -20 (d) 1\/6 (e) -1 (f) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -b + 2*v - 4*v, -2*v = 4*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiuuiidd. What is prob of sequence ud?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1911 and -75\/363454.\nAnswer: 7632534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -aa?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -324 + 484. Let o = i - 168. Let p(b) = -b**2 + 0 + 1 - 8*b - 4. Determine p(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1792263180.\nAnswer: 2, 3, 5, 97, 101, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13131821 + 15?\nAnswer: -13131805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5007926, 5007925, 5007924, 5007923, 5007922?\nAnswer: 5007921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25741*g**2 - 40 - 120*g**3 - 25741*g**2.\nAnswer: -120*g**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 1\/30*k**5 + 0*k**4 + 0*k + 0 + 3*k**2 + 0*k**3. Let j(n) be the first derivative of -2*n**3\/3 - 2. Determine j(x(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = j - 4*j - 5*g, -4*j = 4*g - 44. Let p = 5 + j. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-38)\/(-4))\/(1\/18). Suppose -70 = -4*b + 2*s, 10*b + 15*b = -5*s + 490. Calculate the greatest common divisor of w and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:35 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44957 is divided by 762?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156878*m**3 - 159*m**2 + 156875*m**3 + 159*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:21 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 4. Let u be w(0). Let d = -1 - u. Solve 0 = -d*p - 16 + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 2, e: 5}. Give prob of picking 2 x and 2 c.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 8. Let r be g(9). Let x = 1 - r. Solve -4*w = x + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110961930 and 1720?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(6292) + sqrt(6292) + 5*sqrt(6292) + 2)*3*-2)**2.\nAnswer: 798336*sqrt(13) + 399572352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*x + 11 = 0, 5*x + 0*x + 20 = 0. Let m = i + 13. Calculate the remainder when 11 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h. Let v be t(-5). Let x = 102 - v. Suppose -b - b = -x. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 + 1) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -27.9985. What is y rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - z = 3*u - 1, 4*u - z = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -366, -373, -382, -393, -406, -421, -438?\n\"Answer: -a**2 - 4*a - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12102 - -121203?\nAnswer: 103101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/19 (b) 0.05 (c) -0.0423\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-5 + 0 + 4)*(3 - 2*n - 3) - 12*n + 21*n + 16*n in the form h*n + c and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 542*v - 81. Let i be q(0). Sort -11, 0.5, i, 1, 0.4 in descending order.\nAnswer: 1, 0.5, 0.4, -11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p\/p**(-19)*(p*p*p**(-12)*p*p)\/p*(p\/(p*(p*p*p**(-6\/7)\/p*p*p*p*p)\/p))**(-6))**(-43) assuming p is positive.\nAnswer: p**(-9890\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -6 - (5 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/5 + 18*a**2\/5 + 16*a\/5 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295 + 3855 = -10*k. Let d = 2204 + k. What are the prime factors of d?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**2 + 846*x - 5341. Determine t(6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/90 + (1 - -3 - (-120)\/(-27))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 68*v**2 + 2*v + 3. Let n(w) = -68*w**2 - 3*w - 5. Calculate -6*l(b) - 4*n(b).\nAnswer: -136*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1102*143331\nAnswer: 157950762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824484 is divided by 186?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5.52 (b) 2 (c) -129\/5 (d) 57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -14*h - 13. Is h greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 20*u + 17. What is the least common multiple of (2 + 5)*3 + 3 and h(-17)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 77*v + 150. Let x be j(75). Solve -4*k + 2483 - 2467 = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 0.07 (c) 207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3 + 7*i + 8)*(-11 - 1 + 4).\nAnswer: -56*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/1169790192?\nAnswer: 1\/1169790192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*p + 111*p = -191*p + 5974 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 20*n - 2. Let b(a) = -2*a**2 + 85530. Give b(j(d)).\nAnswer: -800*d**2 + 160*d + 85522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11861569 a multiple of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 2. Suppose 3*l - 4*b = -2*b - 10, -l = -4*b + 10. Let i be g(l). Is -1 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 11*z**5 + 2*z**5 + 19*z**5 - 8*z**5 - 6 + z**4 - 458*z**3 - 213*z wrt z?\nAnswer: 40*z**3 + 12*z**2 - 2748*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1510*p**3 + p**2 - 1485*p**3 - 1481*p**3 + 4501*p**3.\nAnswer: 25*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Let l(v) be the second derivative of v**4\/3 - v**3\/3 - v**2 + 11*v. Let y be l(n). Calculate the highest common factor of 36 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/75471660 and -59\/46530?\nAnswer: 75471660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*i**3*z + 31*i**3 - 3*z wrt z?\nAnswer: 25*i**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5 = -g. Let i be g*0\/(12\/3). Solve -o + 2*o + 5 = i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -32436*s + 356792. Determine i(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 13. Let a be i(9). Let t(k) = -k + 3. Calculate the smallest common multiple of t(a) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 - 6*w**2 - 25*w - 44. Let i be h(-2). Solve i*d + 6 = -4*p + 4*d, 4*d = -12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -396, -1581, -3556, -6321, -9876, -14221?\n\"Answer: -395*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(810) - sqrt(810)*-2)\/(sqrt(60)\/(sqrt(12)*3)))**2 + -4.\nAnswer: 486*sqrt(2) + 13127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(3\/5)*t*t**(-5)*t**(-3)*t**4*(t*t*t\/t**(-5)*t*t)\/t*(t**0)**44 assuming t is positive.\nAnswer: t**(117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 3. Let c(m) = -3*m + 3. Let p(j) = -3*c(j) + 4*g(j). Let n = 18 + -14. Suppose n*o + 15 + 5 = 0. What is p(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6603 and 67491464?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 1. Let t(v) = 30*v - 3 - 16*v - 18*v. What is 6*f(c) - t(c)?\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 332*m**2 - 97*m - 238. Calculate k(-4).\nAnswer: 5462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 7. Suppose -81*z + 17 = -64*z. Let v be 27\/5 + z - 4\/10. Calculate s(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - j - 2. Let w be t(2). Let b be w\/2 - 0 - -2. Let d(h) = -5 - h + h + h. Determine d(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - -8) - (38 + -35)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 57a2?\nAnswer: 57a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 153 + -76. Let g be -5 + 124\/24 - 61\/6. Calculate the remainder when j is divided by (-1 - 51)\/(8 + g).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*f - 2 = -a, 5 = -5*a + 5*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.979 - -8. Let s = a - 0.521. Put 5, 0, s, 3\/7 in descending order.\nAnswer: 5, 3\/7, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138579, -554311, -1247187, -2217207, -3464371, -4988679, -6790131?\nAnswer: -8868727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.51 and 0.1383.\nAnswer: 3.6483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*q**6 + q**2 - 108.\nAnswer: 10800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44332 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1729, 1686, -1933, -10916, -27051?\n\"Answer: -298*z**3 + 2043*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22721.01 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1)\/((-6)\/(-15)). Let f(g) = -2*g**3 - 5*g**2 - 2*g + 3. Let t be f(v). Suppose -t = 2*x - 4*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43455 and 1369935?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 865 and -6?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -24996131.44 to the nearest one hundred thousand.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/2 - 25*n**3\/2 + 34*n**2 - 22*n = 0. What is n?\nAnswer: 0, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7 - (5 - 5 - 14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 6864?\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + g + 8 = 0, -7*g = -3*u - 4*g - 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*m + 3*g, 5*m - 50 + 12 = -2*g. Let t be 1 + 1 - (m + -9). Suppose -4*x + 382 = -2*p, x + t*p - 494 = -4*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -17) + (-13 - 12) + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**4 + 42 + 18*x - 20*x + 6*x**2 - 19*x**3 - 43 + 5*x**4 as a + w*x**2 + l*x**4 + t*x**3 + y*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 215\/4*l**2 - 5\/4*l**4 + 375\/2*l + 0*l**3 + 180 = 0.\nAnswer: -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 7, m: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -26*y + 218 - 76 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 7*a - 12*a + 15, -3*x - 3*a - 3 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-680)\/25)\/((-8)\/20). Calculate the highest common divisor of d and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-2))\/(6\/12). Let g = -11 + s. What are the prime factors of 43\/g - 3\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 12:05 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 18 = -2*u, -8 = -u + 3*c + 13. Let x(m) = -m**3 - 13*m**2 - 14*m - 17. Let l be x(-12). Solve 8 + l = u*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 - -0.4. Let m = 3 - j. What is the second smallest value in 3\/2, m, -8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**4 + 193311*k**2 + 119107 wrt k.\nAnswer: -4*k**3 + 386622*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1335183 - 5?\nAnswer: 1335178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*j**3 + 281*j**3 - 1742*j**3 + 1187*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 45. Let u = 26671 - 26669. Let s be 2 + (-1)\/((-4)\/(-12)). Which is the biggest value? (a) d (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4, -1, -0.79 in ascending order.\nAnswer: -5, -4, -1, -0.79, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 11 = -8*g + 6*g, -4*g = 5*n + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 3*k - 68. Is 34 a factor of m(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -11826\nAnswer: 31\/11826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001841714 rounded to seven decimal places?\nAnswer: 0.0001842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 111, -3 in descending order.\nAnswer: 111, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let l = 2 + n. Factor 4*x**l - 3*x**2 + 0*x**2 - x.\nAnswer: x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 53*r - 57*r. Let j = r - -25. What are the prime factors of (0 - 2) + j + 67?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257348947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-8)\/10 + 16032\/3340\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4402321 (base 5) in base 7?\nAnswer: -432432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -22124\/5 = -4424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 8*k**2 - 11*k - 8. Let h be v(-7). Let n be 24\/h*10\/4. Suppose -n*w = 4*w - 637. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16962 - 16958. Let m(j) = -3*j**2 + 5*j + 2. Let u(g) = g. Calculate z*u(q) + m(q).\nAnswer: -3*q**2 + 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21237899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48\/5 of a millennium?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 415*h**2 + 72*h - 73. Determine r(1).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000190715871 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 20 = 0, -3*i - 20 = -2*v + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/((-2)\/6). Differentiate -3*f + f**4 + 4*f - f - x wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t. Let a(d) = 3*d + 5. Let b(n) = 2*n + 1. Let m(s) = 4*a(s) - 5*b(s). Determine f(m(o)).\nAnswer: 4*o + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11219871 divided by -3739957.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 32. Let p be d(-14). Put 9, p, 0, 1 in decreasing order.\nAnswer: 9, 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a factor of 3006810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -202?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9623\/581 - 23\/83. What is the third biggest value in z, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**2 - 23*q - 93. Let l(a) = -2*a**2 + a - 1. Let y(h) = -c(h) - 3*l(h). Solve y(i) = 0 for i.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.239*656.72.\nAnswer: -156.95608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.1 (c) -0.5 (d) 15\/29 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 904 and 688?\nAnswer: 77744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 0.3, 5, 0.5, 14, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2\/5 - 4*x + 96\/5 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**10*(n**0)**1 assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and -0.0244.\nAnswer: -0.1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:08 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36)\/sqrt(3) - sqrt(243)\/sqrt(9)) + 0)*-5 + 4)**2.\nAnswer: 40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 12*x**2 - 11*x + 16. Let t be y(13). Suppose z - 2*n - 22 = -z, -4*z = -3*n - t. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1246 + -2436. Let q be -8 - (2\/5)\/((-11)\/55). List the prime factors of q\/(-5)*w\/(-21).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 8.9 (b) 21 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22486904.\nAnswer: 2, 11, 31, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 154*c - 154*c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2404490 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 13*s + 16. Let l be m(-12). Suppose l*y - u = 4, u + 2*u + 12 = y. Let z = -22\/185 - 3\/37. Is z less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -2, -40, 3 in decreasing order.\nAnswer: 5, 3, -2, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2014, 15936, 53702, 127228, 248430, 429224, 681526, 1017252?\nAnswer: 1448318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.178 and 1919.\nAnswer: 341.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((((-576)\/(-40))\/9)\/((-442)\/(-130))).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -12\/17 (c) 17\/5 (d) 1 (e) 13 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3851?\nAnswer: 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to -21781\/5568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38986 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1001*36\/(-4032) + 0 + (1 - -5) and 47\/8652.\nAnswer: 34608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12705 (b) -4 (c) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + -5 + (sqrt(147) - (2 + sqrt(147))) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-35)\/15 + 1590\/1*45\/81 is divided by 178?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9112*f**3 + 4*f**2 + 8*f - 9499. Let r(t) = -2*t**3 + t**2 + 2*t. Let m(y) = -l(y) + 4*r(y). Differentiate m(v) with respect to v.\nAnswer: -27360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**3\/8 + 201*j**2\/2 + 13467*j\/2 = 0.\nAnswer: -134, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 70 = 2*j. Let t = -12 + j. Suppose -t*s = -s. Solve 2*f + 0*f - 3*h - 6 = s, -5*h = -4*f + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 9*d - 8. Let l(i) = i**3 + 8*i**2 - 10*i - 5. Let j be l(-9). Suppose -b + j = -0*b. What is the lowest common multiple of q(6) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/(1\/3). Suppose 4*t + 0*t - 5*l + 20 = 0, -t - l + 4 = 0. Let k be -3*(24\/20 - 1). Which is the second smallest value? (a) g (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (5 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0296 - -137.8496. Let y = -138 + r. What is y rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 18. Suppose k = -6*c - 104 + 302. Suppose h = c - 24. What is the remainder when 23 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131465*l + 3105 = -131580*l for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/7))**22\/(((j**(-2\/21)\/j)\/j)\/j*j*j**(1\/5)*j) assuming j is positive.\nAnswer: j**(1744\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 52, 55, 56, 55, 52, 47?\n\"Answer: -l**2 + 8*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/22 and -23\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 15 + (-1 - 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**6*(f\/(f**(-4)*f*f))\/(f*f*f**(5\/2)*f*f))**(2\/129) assuming f is positive.\nAnswer: f**(-11\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**3 - 4*d**2 + 245*d - 2. Let u(r) = -r**3 + r**2 + 1. Give -p(f) - 4*u(f).\nAnswer: -f**3 - 245*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 253994*b - 5842396. Determine r(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 1:25 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from knkkkknkknk.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291 = 24*l + 595 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18603 - -18603.2. Sort 6, 0, 4\/7, p, 4 in decreasing order.\nAnswer: 6, 4, 4\/7, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (807\/(-10760))\/((-10)\/(-50))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**6 - 4466*u**4 - 2*u**3 - 134754*u**2 wrt u?\nAnswer: 120*u**3 - 107184*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 28\/1151, 1, -5, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -7307.\nAnswer: -29\/7307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 168930 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(425) + (sqrt(425) - ((sqrt(425) - -2*sqrt(425)) + 1)))**2 - ((sqrt(425) + 3 + sqrt(425) + sqrt(425)*-1)**2 - sqrt(425))).\nAnswer: -15*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1845\/(-40))\/(-9) - (-1)\/(-8). Suppose m*y = -3*s + 182, s - 5*y = 48 + 46. Let j = 72 - s. Solve 0 = -2*o + 6*t - j*t + 13, 12 = -4*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3 + 11940*a**2 - 2978514*a - 9043056 = 0. What is a?\nAnswer: -3, 264, 5709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by -2 - (4 + (-140)\/4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-32 - -9) - -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) + 20\/9. Solve 0 = l - 0*l + a*s + 14, 0 = 5*l + 5*s + 45 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 4.8. What is the biggest value in f, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84345*o**3 - 2*o**2 + o - 242519 wrt o.\nAnswer: 506070*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -11*l. Suppose l = 20*m + 20 - 80. Solve 5*w - 3*n = 6, w + 4*n - m*n - 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15930*q**3 - 47*q**2*s + 5531949*s wrt q.\nAnswer: 47790*q**2 - 94*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11009613*f**2 - 4569676 wrt f.\nAnswer: 22019226*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(468) - (1 + sqrt(13)*-1).\nAnswer: -4 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 5*f**2\/2 - 48*f - 1593. Calculate i(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -352*n**2 + 69345*n - 237. Determine j(197).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -103421533 (base 6) to base 15\nAnswer: -26939c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 9*y = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48, -170, -376, -672, -1064, -1558?\n\"Answer: -r**3 - 36*r**2 - 7*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -11\/8*m + 15\/4 + 1\/8*m**2 = 0.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 8*k**2 - k + 22. Let l be i(-8). Suppose -l*y + 24*y = -18. Let w be (-2)\/6 + 13\/3. Solve w = -y*x + x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11966 equal to -11967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14331300 (base 5) to base 12.\nAnswer: -7400b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 7*z**2 - 5*z - 6. Let w be h(5). Let k = w + -32. Differentiate -k - 1 - 2*r + 3 with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -27*c + 8*c**2 + 2*c**3 + 27*c. Let j = 12 + -7. Let x(u) = u**3 + 5*u**2. Calculate j*b(d) - 8*x(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642310927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 i when three letters picked without replacement from iiqabibbqpbpyyp?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 220*r**2 - 7*r - 1. Let l be (-744)\/(-21) - (1 + (-44)\/28). Let u = -32 + l. Is w(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 533 + -332. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -164.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45599819 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Suppose 0 = z - 5*d - c, 0*z - d = -4*z + 58. Suppose -3*h = -4*f + 94, 4*h = f - h - z. Calculate the remainder when 97 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4)*-1)\/(49\/(-6958))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**4 - 7453*u**3 + 90819*u**2 - 222147*u + 49977 = 0.\nAnswer: 1\/4, 3, 9, 1851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*sqrt(12) - ((sqrt(21) + sqrt(189))*-1)\/sqrt(7) - (sqrt(75)*-1 + -5 + (-2*sqrt(243) - sqrt(243)) + 3))**2.\nAnswer: 224*sqrt(3) + 9412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*r + 2*j**3 + 10*j**2*r - 12*j**2 + 44*j*r - 7755*j - 2067*r + 2 with respect to r.\nAnswer: 2*j**3 + 10*j**2 + 44*j - 2067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 9:28 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65392*p**2*v**4 - 27*p**2 - 3*p*v + 158*p - 3 wrt v.\nAnswer: -261568*p**2*v**3 - 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 15, -b = t + 59 - 44 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1343, 1294, 1245, 1196?\n\"Answer: -49*i + 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 150 (b) 3 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*p - 4*p**3 + 2 + p in the form x*p**3 + j*p + o*p**2 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40115*z**5 + 8*z**3 + 7379*z**2 - 35.\nAnswer: -2406900*z**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*a + 6, a - 3*a = -4*r + 4. Let s be (1\/(r\/68))\/(-1). Let d be s\/(-17) - (-4)\/2. Solve -d*j = -3*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 15*j - 7 = 0. Solve -4*v + 0 = 12, -2*h + v = -j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 - q + 16. Let i be h(-8). Calculate the greatest common divisor of i and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16750576*t**4 - 771*t**2 + t - 239 wrt t?\nAnswer: 402013824*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -150296745 divided by 1768197?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - u + 31, 2*u - 10 + 0 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8286 = 77*s - 16509 - 6929. What is the highest common factor of s and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 21, -1, 755?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 800 + -710. What is the lowest common multiple of t and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289.99 years in decades?\nAnswer: 228.999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.38 + -0.99. Let o = h - 58.63. Let u = o + 65. Sort -0.5, 11, u.\nAnswer: -0.5, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 9. Let u be (-2 - 0)\/(2\/(-12)). Is u not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -212 (c) -1\/2 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50130.\nAnswer: 2, 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 divided by 2984?\nAnswer: -1561\/2984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from xibbbbbvxf.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8001*f**4 + 28*f + 189 wrt f?\nAnswer: 96012*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u. Suppose -4*l + 64 = -u*v + 4*v, -5*l - 40 = -5*v. Suppose -5*k = -3*h - 35, -4*h - v = -2*k + 4*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 32 + 35. Let l(y) = -2*y**3 - 2*y**2 + 2. Let m be l(c). Suppose o - 2 = -m*h, -7 + 2 = h + 2*o. Solve b = h - 6, 5*n - 5*b = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*g**2*x + 111698*c**3*x**2 - 24*c**3 - 44*c**2*g**2 + 358*c**2*x + 2*c*g**2*x**2 - 2*c*x**2 - 2*g**2 + 17 wrt c?\nAnswer: -6*g**2*x + 670188*x**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*k - 467 = 105 + 453 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*a = 195*a - 21. Solve 2*u + y + 4 = 2, u + a*y = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2 - 0) + 0. Let x be ((-18)\/15)\/((-1)\/5). Suppose -2*p = -5*p + x. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, u: 9, p: 1}. Give prob of sequence tput.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 160679*k = -160678*k + 1, 0 = -k - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -203357*d - 203341*d + 406520*d - 40*d**3 in the form z*d**3 + f*d**2 + x + r*d and give r.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 19. Let p be f(-6). Let r(x) = -x**3 + 12*x**2 + 12*x + 17. Let m be r(p). Solve -w - 26 = -m*d - 3*w, -2*d = 2*w - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5916 and 522.\nAnswer: 17748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/36288 and 83\/1316.\nAnswer: 1705536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 4 - (0 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 0*v**3 + v**2 + 0*v**4 - 14 - 3*v + 17\/20*v**5. Let w(b) be the first derivative of c(b). Differentiate w(d) wrt d.\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 2*w**5\/5 - 65*w**4\/2 - 2*w**3\/3 + 3203*w - 7932. Differentiate h(o) wrt o.\nAnswer: 8*o**3 - 390*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -42. Let r = -18\/5 + 152\/45. What is the closest to 0 in d, 1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/177266?\nAnswer: 1\/177266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 4*q. Let l be z(4). Let d = -9 - -9. Which is the nearest to d? (a) -3 (b) l (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 0. Suppose -10*m = -q*m. Suppose 2*j - 10 - 22 = m. Solve 4*c = 8*c - j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-7)\/(7\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6818521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**3\/3 - 4*n**2 - 10*n + 3. Calculate w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -6. Let m = h + -7. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**9\/60480 - t**7\/5040 - t**6\/240 + t**5\/20 - t**2. Let h(d) be the third derivative of q(d). What is h(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 + 631 = -177*k - 321 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-125)\/(-35) + -4)\/((-6)\/(-4)). What is the closest to 1\/5 in v, -3, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 4*b**4\/3 - 25*b - 2. Let p(c) = -c. What is p(h(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/5)\/l)*l**(-4\/5))\/(l*l*l**(-3)*l**13) assuming l is positive.\nAnswer: l**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 - 13956*q + 7140*q - 99 as c*q + u and give c.\nAnswer: -6816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430 = -37*d - 1679 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67697*j + 36*j**2 - 67697*j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7775 - -12009. Is 130 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 261*z + 1530. Let m be h(-6). What is the closest to m in 5, 3, -1, 7.54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = 4*n - 316, -3*j - 3*n - 15 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5 - 1350*d**4 + 120878*d**3 + 901926*d**2 + 1065104*d - 2086560 = 0.\nAnswer: -4, 1, 115, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:03 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*w - w + 940, 5*w - 5*n + 2315 = 0. Let h be (32\/(-20))\/(2\/w). Let v = h - 221. What are the prime factors of v?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 244 = 2*o, -2*o - t + 220 = -3*t. Let z be -1*(-1 - 3\/(o\/(-40))). Put -0.3, 0.4, z, -0.5 in decreasing order.\nAnswer: 0.4, z, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from {v: 2, i: 5, c: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*u + 22, -4*u + r + 5 = -18. Suppose -15 = u*h - 8*h. Solve h*c = -k + 3*c - 1, 4*k + 3*c - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27409*t**3 + 3687*t**3 - 5494*t**3 - 24938*t**3.\nAnswer: -54154*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 123. Suppose -3 = -2*p + 2*v - 7, 4*p = 2*v - 12. Sort p, 5, t in decreasing order.\nAnswer: 5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 57 = u. Suppose 0 = i + 7 - u. Which is smaller: i or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 10\/21 (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36238695 to the power of 1\/2, to the nearest integer?\nAnswer: 6020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10*s + 8 = 0. Let d(h) be the first derivative of -2 - 2\/3*h**3 + 0*h**s - h. What is the derivative of d(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1376 + 2901. Let f be ((-12)\/(-15))\/((-2)\/(-2355)). Let b = d - f. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 656 - 659.558. Round l to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13124?\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 417 and 33.\nAnswer: 4587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by -6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*s + 851 = 438 + 454, 0 = -2*v + 6*s + 44 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n - 3*n = -19*n + 276 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.59\nAnswer: 0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 409709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1608.7 - 1604.7. Which is the nearest to -0.1? (a) 0.01 (b) 12 (c) n (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 66. Suppose 0 = -w + 1 - o, -4*q - 4*w = -556. List the prime factors of q.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-48)\/15*(-148)\/3774*-255\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 - 13956*y**2 + 295024*y + 645840 = 0.\nAnswer: -3510, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 189986600.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -455.29093?\nAnswer: -1365.87279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 80, 121?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 1\/3*l**4 + 0*l**2 + 0*l**3 - 29*l + 0. Let d(a) = -9*a**2. Calculate d(i(q)).\nAnswer: -144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28232 minus 0.3?\nAnswer: -0.58232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230540906 divided by -4.\nAnswer: -115270453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/90 and 44\/17745.\nAnswer: 106470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 + 5*y + 19. Let a be q(-4). Sort -0.2, 0, a.\nAnswer: a, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let w be (-1 + (-21)\/(-18))\/((-248)\/248). Which is the closest to r? (a) w (b) 0.3 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801901.\nAnswer: 37, 21673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2635390 is divided by 164710?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 446.825 hours?\nAnswer: 1608570000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 20 + 77)*(-1 + 1 - i)*(0*i**2 + i**2 + 2*i**2).\nAnswer: -381*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.616245 centuries?\nAnswer: 6739.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 6}. What is prob of picking 2 l and 1 t?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 + 176*j - 664. Let w be d(84). Calculate the highest common factor of 8376 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(5\/4))\/w*w**(-1\/2)\/w)**(12\/11) assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 35*a + 2. Determine l(18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3307459210 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - w = 136787023, -a - 2*w + 3*w = -27357407. Let i = -19017404 + a. Suppose 3*d = -3*d + i. What is d rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 5*t**2 + 6*t. What is the remainder when y(-5) is divided by 4\/((-14)\/((-924)\/11))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v + 0 + 6 - v + 3 - 2 - v.\nAnswer: -31*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:54 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwnnnnprgppgrpcpr. Give prob of picking 1 p, 1 c, and 1 r.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/3)*g*g\/(g*g**(-1\/3))*g**(-1\/5)*g**(-5)*g assuming g is positive.\nAnswer: g**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3249*q + 3249*q - 2*q**3 + 11*q**2.\nAnswer: -2*q**3 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + sqrt(120)*-3)*2)\/sqrt(8))\/((sqrt(3) - sqrt(27)*1)*4)*4.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31740 - 31740 + 4569*x.\nAnswer: 4569*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 44*a + 301. Calculate h(-45).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 y when three letters picked without replacement from {r: 1, c: 4, y: 2, s: 10}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/17 (b) -0.3 (c) -53 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5948199 decades?\nAnswer: 0.005948199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.1. Let s be (-6 - (-99)\/18)*-10. Suppose -5*p + 7*d + 7 = s*d, -4*d - 6 = -2*p. What is the closest to w in 2\/25, p, 2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/358 and -71\/772.\nAnswer: 138188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12220 is divided by 347.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6892849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3906*b**2 - 2*b - 8577?\nAnswer: 7812*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -58.5. Which is the nearest to 1\/3? (a) 2 (b) s (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - -1 - (13 - 1 - 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 13*u**3\/6 - 9*u**2\/2 - 2*u. Let x(k) = -3*k + 2. Give 2*i(m) + 9*x(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 + 955 = l. Suppose -g + 5*j = -360, -5*g + 2*j = -l - 737. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7151*v**5 + 2*v**4 + 4*v**3 - 26*v**2 + 2*v - 1730 wrt v?\nAnswer: 429060*v**2 + 48*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, 17, 1 in ascending order.\nAnswer: -4, 1, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 6. Let j be o(-5). Let q(m) be the first derivative of m**3\/2 + m**2\/2 + 3*m - 14. Let v(w) be the first derivative of q(w). What is v(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 47*z**2 + 8*z + 53. Is u(-41) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - 1*sqrt(121))*3 - (sqrt(121) - (sqrt(121) - 1*sqrt(121)*4 - sqrt(121))))\/(-2*sqrt(704)*-4*-6).\nAnswer: 5*sqrt(11)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*i - 4*v = 220*i - 16, 0 = -2*v - 2 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14476 is divided by 102.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-52)\/(-30) - 2)\/(36*(-5)\/150). What is the biggest value in -4039, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 4*g - 88. Let n be 2897998\/14 + ((-116)\/(-28) - g). What is n rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1\/160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 3)*(0*t + t + 2*t) + 0*t + 0*t - t - 3*t + 2*t - t - 1 + 1 + t as z*t + u and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20062.3 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6190705?\nAnswer: 5, 113, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 16. Give k(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2886\/(-10101))\/((-4404)\/(-2198) - 2) - 2\/4.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -14*r + 4. Let d(f) = -27*f + 7. Determine 3*d(j) - 5*l(j).\nAnswer: -11*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*j + 13. Suppose 3*q + 2*q - j = 0. Suppose -4*i = -8, 5*m - 2*m - 12 = q*i. Solve -5*l - 2 = -l - 5*k, m = -4*l + 3*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10434 (base 5) to base 14.\nAnswer: -3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19382, 19204, 18934, 18572, 18118?\nAnswer: 17572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3692, -15057, -34092, -60797, -95172?\n\"Answer: -3835*v**2 + 140*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9657 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d - 17*d + d as k + s*d and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(-1\/3)*n)\/n)**(-24))**(-2\/43) assuming n is positive.\nAnswer: n**(32\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 1 + 2 + -7. Let q(u) = 2*u - 7. Let m be q(6). Solve b = 3*y - 3*n + 3, 6 = -6*y + 2*y + m*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-25))\/(1\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 23*n + 5. Let z be w(-9). Calculate the common denominator of 33\/62 and (-23)\/(-276)*z\/3.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/17)\/s)\/s**(-6))\/(s*(s\/((s**(6\/13)*s)\/s))\/s*s)**(1\/2) assuming s is positive.\nAnswer: s**(857\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.19293 and -0.3.\nAnswer: 0.89293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 43*o**4\/12 + 8*o**3\/3 - 14*o**2 + 2*o - 7. What are the prime factors of b(5)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**3 + 8*u**2 - 7*u - 4. Let z(i) = i**2 + 13*i + 40. Let w be z(-4). Is f(w) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + -9 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5 - 1. Suppose -25 = -j - 4*r, 0 = -0*r - 4*r + 20. Factor 2*w**2 - j*w**l - w + 4*w**3 - 4*w**2.\nAnswer: -w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7478254*t**3 + 2 - 7478253*t**3 - 178*t**2 - 4 - 1.\nAnswer: t**3 - 178*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 9*r - 16. Let a = -16 - -21. Let n be q(a). What is the first derivative of 8*b**4 - 5*b**4 + 6 - 7 + n*b**4 wrt b?\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/11)\/s**4)\/(s**(1\/2)\/s)**19 assuming s is positive.\nAnswer: s**(115\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(56\/(-63)) + -4)*236. Which is smaller: 119 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:12 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 143533846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.992061 to three decimal places.\nAnswer: -4.992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2191430587369\/254 - 8627800436. Let a = g - -120958. Find the common denominator of ((-1)\/2)\/((-12)\/110) and a.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 3.75\nAnswer: 0.2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 2\/17, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -39619893883.\nAnswer: -39619893882.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + r**3 + 6*r**3 + (-1023*r + 467*r + 460*r)*(r**2 + 2 - 2).\nAnswer: -91*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 + 1338 = 7*i. List the prime factors of i.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d + 5*a = -9, 2*d = -3*a - 5. What is the second derivative of -d*l + 133 + 11*l - 38*l**2 - 135 + 22*l wrt l?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*r - 6*r. Let b be (-27)\/(r - -3)*-1. Let l(j) = 2*j + 8*j - j + 3*j**2 + 0*j**2. Let i(v) = -2*v**2 - 5*v. What is b*i(n) - 5*l(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 19 = y - 34, -2*y - 4*g + 6 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 56 = 18*o. Suppose o*l - 5*l = -l. Solve -2 = -d - l*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/10002 and -23\/15003?\nAnswer: 30006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/80 - 3*j**4\/32 + j**3\/4 - 8*j**2. Let y(p) = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose -g*f - 5*f = -14. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23223 + -3?\nAnswer: -23226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - -2) + (-1398)\/700 + -5. Let v(o) be the third derivative of 30*o**2 + 0 + 0*o**3 + 7\/100*o**5 - 3\/20*o**4 + 0*o**6 - q*o**7 + 0*o. Solve v(d) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-21) + (-145719)\/98*788. What is r rounded to the nearest ten thousand?\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62333447 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times 458623?\nAnswer: 73379.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -9*s - 3*p + 6, 2*p - 4 = 0. Suppose m - 1533 = -z, 0 = -3*z - s*m + m + 4591. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187 (base 15) to base 2\nAnswer: -101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010110 - -101?\nAnswer: -100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y - 46 = -5*d, 4*y - 4*d = 8. Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -502.95 + 8.95. Let b = 472.3 + v. Let j = b - -30.6. Round j to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262771*i**6 + 24044*i**2.\nAnswer: 31532520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -d - 11, 2*d - 61 + 67 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10304 and 786176?\nAnswer: 126574336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82433 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*p + 143, -4*a + 4*p + 298 = 6*p. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 602480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + (-84)\/(-16))*-8. What is the remainder when 38 is divided by -4 + r\/(-33)*42\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + c**2 + 143 - c**2 to the form z*c + i + b*c**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 336161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/5, 240, -6994.\nAnswer: -6994, 3\/5, 5, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x + 4. Let l be p(1). Let w be (-18)\/30 + 56\/l. What is the highest common factor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 7*f**2 - 6*f + 3. Let b be i(6). Let a(u) = 2*u - b*u + 2 - 3 + 3. Suppose l - 4 = -0. What is a(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5660 + 5655. Let z(y) = y + 4 - 15*y**2 + 7*y**2 - 6*y. Let r(h) = h**2 + h - 1. Determine b*r(c) - z(c).\nAnswer: 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-67)\/66*-3 - 3)*-10. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + a**3 + 3*a**3 + 44*a**2 - 7*a**3 - 41.\nAnswer: -3*a**3 + 39*a**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - -9.47. Let b = -2.2 - -92.2. Let h = b - o. Round h to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134086.433 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 3*d + 3. Let y(a) = -2*a**2 + 6*a + 5. Determine 5*t(u) - 3*y(u).\nAnswer: u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 2*l**3 + 2*l**3)*(l + l - 4*l) - l**4 + l**3 - l**3 + (0*l**2 + 0*l**2 + 2*l**2)*(-4*l**2 + 0*l**2 + 2*l**2) - 5*l**4 + 3*l**4 + 0*l**4.\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.257 in -1\/3, -0.5, -0.41?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x + 269. Let i be f(-19). Suppose -6*u - 4*r = -11*u - i, -5*u = r + 18. Let b(s) = -s**3 - 6*s**2. Determine b(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + -60. Let y = f + -87. Let l = y - 65. What is the second biggest value in l, -3, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 6. Let k(n) = n + 5. Let w(o) = -2*a(o) - 3*k(o). Let v be w(5). Suppose 13 = 3*l + v*h - 4, -2*h = 4*l - 24. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5394 divided by 1079\nAnswer: 5394\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/3 + 11*t**2\/2 - 4*t. Let m be g(-7). Let u(j) = -j + 3. Calculate u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p, 0 = -2*l + 5*p - 4*p - 31. Let q = -190\/31 + 2039\/186. Find the common denominator of ((-27)\/90)\/(l\/230) and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275\/72 + -35\/8. Let x = s + 2\/9. Let q = 51.3 - 56.3. Which is the second smallest value? (a) q (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0 (b) 2\/5 (c) -4\/3 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -4, -25, -64, -127, -220, -349?\n\"Answer: -f**3 - 2*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3613096*d**3 - 898404*d**2 wrt d?\nAnswer: 21678576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-13 - -9 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.42 or -21?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63381951?\nAnswer: 3, 23, 306193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**3\/7 + b**2 + 20*b\/7 - 12\/7.\nAnswer: -(b - 1)*(3*b - 2)*(5*b + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -82025\/6 not equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -14*f - 8. Let j(c) = 29*c + 20. Let k(x) = 2*j(x) + 5*z(x). What is k(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnxnxnnxnnxnnnxxxnx. Give prob of sequence xn.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43491 - -3044477\/70. Calculate the common denominator of -93\/50 and l.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:21 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/36 and -29\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-32)*40*((-4)\/(-8))\/((-65)\/2)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**2 - 2*i + 1. Let k be d(4). Let w(y) = 8*y**2 - 137*y + 51. Let p be w(17). What is the greatest common factor of k and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15720876 divided by 4\nAnswer: 3930219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*y - 49 = -120*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12988, 26019, 39046, 52069, 65088?\nAnswer: 78103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 6408 = -16*v. Calculate the lowest common multiple of 2 and v.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29023411 take away -12277?\nAnswer: -29011134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 6. Suppose 0 = -4*z - 7 + g. Let x(j) = -37*j. Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000274368 rounded to six dps?\nAnswer: -0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.1 * 18.\nAnswer: 307.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from gxoeq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2134, -7527, -16512, -29083, -45234?\nAnswer: -64959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9687713*d**2 + 71*d + 34336 wrt d.\nAnswer: -19375426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*l + 2*d + 28, 6*l + 39 = -3*d for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014903727 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-6)*92250\/(-615)*(-2)\/(32\/(-2)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 15) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (6316\/(-24)*-34 - 1)*15\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 13. Let s be j(-9). Is (s\/6)\/(3\/18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227912?\nAnswer: 2, 3, 7, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 - 5. Determine r(-5).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**4\/42 + 4*g**3\/21 - 5*g**2\/7 + 13*g - 1. Determine n, given that u(n) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73921 is divided by 157.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5384 (b) 0.1 (c) 1552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 + 299 = -4*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 3}. Give prob of picking 3 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23708 and 4810925.1?\nAnswer: 4787217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36.01 + -36. Let i = s + -0.00999984. Round i to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70086307*w**2 + 0*w**3 - 79 + 3*w**3 + 70086307*w**2.\nAnswer: 3*w**3 - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-615)\/(-27) + 14\/63. Let c be 46*(-3)\/(-6)*1. Calculate the highest common divisor of c and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -18.49797.\nAnswer: -18.89797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*y + 101*y - 17*y - 810 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*d + 42 = 3, 4*v = -5*d - 1. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21110 (base 4) to base 5\nAnswer: 4341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(1300)) - sqrt(1300))**2 - (sqrt(832)*-2*6)**2.\nAnswer: -108104 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + 2259. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*f + 2*f. Let k = -6 + f. Let w(o) = -o - 4. Let y be w(-4). What is the nearest to 2 in y, k, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 10*m**2 + 1580*m + 163. Calculate u(-35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3108 - -0.0192. Let d = o + 0.07. Let h = -2.422 + d. What is h rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2096.984 + 0.0444?\nAnswer: -2096.9396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.21 - 15.434. Let u = -0.124 - l. Let s = -7.83 + u. Round s to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*((sqrt(176) - 5*sqrt(176))*-5 - (sqrt(176) + 0 + -1)) + 5))**2*3.\nAnswer: 98496*sqrt(11) + 247028076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**15)\/h**(1\/16)*h*h**(19\/3)*h*h**(-11)\/h assuming h is positive.\nAnswer: h**(589\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*3*-3 + -3.\nAnswer: -9*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-18))\/(1\/(-3)*-3)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 11, 0 in descending order.\nAnswer: 11, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45f77 (base 16) in base 12?\nAnswer: 119a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f**2 + 4. Let m be n(0). Let l be (5\/10)\/((-5)\/m). Let t = -1 + 1. Sort l, t, -2\/9 in increasing order.\nAnswer: l, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 13148*d\/5 - 21608738\/5.\nAnswer: -2*(d + 3287)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 4*b**3 + 3*b**2 + 10*b - 8.\nAnswer: -(b - 1)**2*(b + 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2115 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 33*j - 70. Let s be y(-14). Let v = 12 + -6. What is the third smallest value in s, 0.1, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)*y*y**5*y*y)\/(y**(5\/6)\/(((y*y**(-3\/7))\/y)\/y)) assuming y is positive.\nAnswer: y**(131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*s**2 + 371*s**2 - 98*s**2 - 97*s**2 - 91*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 - 0.81. Let i(q) = 13*q + 21. Let u be i(-2). Which is the nearest to d? (a) 5 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 6. Let l(m) = -38*m**2 + m - 71. Calculate c(l(o)).\nAnswer: -114*o**2 + 3*o - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**2 + 0*k**3 - 16 - 30*k + 34*k - k**3. Calculate the remainder when 22 is divided by y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**17\/(m*m*m*m*m*m**(4\/9)*m*m*m*m*m*m**(-1\/3)))**(12\/7) assuming m is positive.\nAnswer: m**(-976\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1*1\/(-10)). Let d be k\/4 - 6\/(-12). Suppose d*f - 20 = 2*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -1 (b) -4 (c) 16412 (d) -0.3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 2 = 0. Find the common denominator of 107\/14 and (-12 - u)\/(-2 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -5*l**2\/2 - 5*l + 1. Let q be 1\/(-1)*4*1. Is v(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83857, 349441, 792081, 1411777, 2208529, 3182337?\n\"Answer: 88528*w**2 - 4671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9955 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -272566? (a) 1 (b) -6\/11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2573338 to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -45. Let w be 2 - ((-6)\/(-12))\/(i\/(-12)). Suppose w = 10*n - 133 - 807. Calculate the remainder when n is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:13 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 1, 5\/2, 0.510573 in descending order.\nAnswer: 5\/2, 1, 0.510573, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 9171823\nAnswer: -18343646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -875*s**4\/4 + 212*s - 1132. What is the derivative of p(m) wrt m?\nAnswer: -2625*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10859\/4 - 2733. Find the common denominator of d and -93\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24300 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -27?\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-325)\/52)\/25*10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000100011 - 100001011?\nAnswer: -10010100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8563.\nAnswer: 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:51 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 65 (c) 9 (d) 0.02 (e) -1\/2 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 253134731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*g**3 + 71*g**3 - 628 - 209*g**3 + 63*g**3.\nAnswer: -10*g**3 - 628","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 158*n**2 - 6*n + 2. Let c(r) = -148*r**2 + 5*r - 2. Determine 4*c(b) + 3*f(b).\nAnswer: -118*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5366, -28, -4, -50 in descending order.\nAnswer: -4, -28, -50, -5366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 b when three letters picked without replacement from obobjbbbj.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*y + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:18 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31953 + -31950. Let t = -2.4 + 6.6. Which is the third smallest value? (a) t (b) m (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 - (-112)\/18. Let f(u) be the second derivative of -u**5\/20 + 3*u**4\/4 - u**3 + 5*u**2\/2 + 414*u. What is the tens digit of f(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-10 - -5) + 59. Find the common denominator of 43\/4 and (-3)\/(-104)*b + 8\/(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/5 + 304*g**2\/5 - 5014*g\/5 - 1064 = 0.\nAnswer: -1, 20, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*x + 36, -3*x = 3*n - 7*x - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11067.42 rounded to the nearest one hundred?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-40)*d))\/d*d\/(d*d**(-1\/23)\/d) assuming d is positive.\nAnswer: d**(-942\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003283339 rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8104917 is divided by 548.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose s - 3 = -l*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45832 divided by 11458.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.02 (c) 38 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4\/8140973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 926*n**3*u*x**2 + 224339*n**3*x**2 - n**2*u - 7*n*u*x - 3*n*x**2 + 412*u + 962*x wrt n.\nAnswer: 5556*u*x**2 + 1346034*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1637, -54, -2, 2 in descending order.\nAnswer: 1637, 2, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 (base 14) in base 2?\nAnswer: -100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3775 + 773?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 210*g - 18. Let b(y) = 13*y - 1. Determine -2*a(u) + 42*b(u).\nAnswer: 126*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15344*k**3 + 55727 + 15353*k**3 + 3*k**2 - 55727.\nAnswer: 9*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 9, 1\/2, -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 265367 or 453\/5?\nAnswer: 265367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26702023 rounded to 4 decimal places?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 5 - -5 - -3 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1664617 and 2096.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 4. Let l be g(-1). Let k(s) = 2*s + 10. Give k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((2109\/(-133))\/37).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 1578?\nAnswer: -3\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-588)\/(-9) + (10500 - 10558)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 183 - 3*c + 0*c - 12 + 4*c - 11*c. What is the units digit of l(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -37. Suppose -j = -5*o + 11, 6*j - 2*j - 4 = t*o. Suppose o = -a + 19. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9593586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 841506, 1681503, 2521500, 3361497?\n\"Answer: 839997*t + 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -16, 11003, -4, 2 in descending order.\nAnswer: 11003, 2, -4, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1109*l - 1053. Is p(-59) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 2, 2626, -1 in descending order.\nAnswer: 2626, 117, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - (sqrt(204) - (sqrt(204)*-1 + sqrt(204))*-6)))\/(2*sqrt(12)*2))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(2448))**2 + ((sqrt(68) - sqrt(68)*2*1) + sqrt(68))\/sqrt(4).\nAnswer: -48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, 1 in increasing order.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.04 - 0.04. Let i = -589 - -1730\/3. Let j = i + 12. What is the nearest to j in 0.5, u, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-27))\/(8\/(-3) - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -13?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {x: 2, s: 1, y: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:32 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 138288886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4623 - 2592. Suppose 2*g = 3*n - c, -2*n + 1370 = -0*g + 4*g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26 + -37 - (-53)\/9 and -53\/5044.\nAnswer: 45396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - b + 13*b = 10*b - 23, 2*l - 25 = 6*b + 5*b for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 1fb5?\nAnswer: 1fb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**5\/4 + 35*c**4\/6 - 160*c**3\/3 + 240*c**2 - 39*c - 2. Suppose w(b) = 0. What is b?\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = 4*t - 1, -2*j + 11 = -3*t. Solve 1 + 4 + j + 243*m**2 - 108*m = 0 for m.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(26 + 30580\/(-1155))*21\/12.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1258 divided by -4\nAnswer: -629\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 8:33 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 1. Let u be h(0). What is the remainder when 71 - -1 - (u + 0) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 12 = 3*b. Suppose b*u = 2*u + 5. Let o(w) = w - 4. Let z be o(2). Sort 2, u, z in ascending order.\nAnswer: z, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {u: 1, f: 3, a: 2, n: 1, x: 7}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/10140 and -19\/300.\nAnswer: 50700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*x - 4211*x = -4885 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/5 + 696*s - 3476\/5.\nAnswer: -4*(s - 869)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 9*k - 4*c - 4, 0 = 3*k - 5*c + 8. Let x = -342 - -514. Suppose -x = -k*n + 312. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 20. Let z be n(20). Let i(l) be the third derivative of z - 3\/2*l**3 + 0*l + 3\/20*l**5 + l**4 - 4*l**2. Suppose i(h) = 0. What is h?\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -763 - -761 - (-29 + 0).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 2*q - 3*q**3 + 1161*q**2 - 809*q**2 + q**3 in the form b*q**2 + l + s*q**3 + w*q and give b.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + -86 + 88\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*m - 18*m - 187*m + 237*m**2 wrt m?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4079, -8347, -12807, -17459, -22303, -27339?\nAnswer: -32567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36540*w - 27685*w + 1766*w.\nAnswer: -62459*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 1. Let y(j) = -14 + 7*j**2 + j**3 - 5*j + 17 - 3*j**2. Is y(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c. Let a(k) = -31*k - 1. Let o(q) = -46*q - 2. Let s(v) = 8*a(v) - 5*o(v). What is s(t(r))?\nAnswer: -72*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -75*p**2 + 5. Let g(o) = -112*o**2 + 8. Calculate -5*g(l) + 8*x(l).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.136 in -2\/5, -249, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 + (-2 - 4) - 4. Suppose 6 = 5*h + 23*c - 27*c, -5*h = c - 11. Solve h*v = u + 1 - 0, 4*u + v = g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 3*sqrt(192) + -3)**2.\nAnswer: -192*sqrt(3) + 3081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21476 is divided by 19434?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 22*k + 11 = 23*k, -c = 4*k - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*m - 3881 - 1514 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 + 93*y**2.\nAnswer: 3*y**2*(y + 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - o**2)*((3*o + 0*o - o)*(-1 + 2 + 0) + (4 - 6 + 4)*(5*o + 0*o - 2*o)).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/(-16) + 319\/(-11) + 15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4052781, 4052774, 4052763, 4052748?\nAnswer: 4052729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.549 + -6.781. Let o = -1.97 + f. Let x = o - -10. Put -1\/9, x, -3\/8 in decreasing order.\nAnswer: -1\/9, x, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/9 - 8053124*y**3\/3 + 72959237813498*y**2\/9 + 340477626939800*y\/3 + 3575019226205000\/9 = 0 for y.\nAnswer: -7, 6039850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372766.\nAnswer: 2, 211, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*z = 41, -3*k = 4*z - 13 - 70. Solve 0 = 2*m - 6*g + 3*g - 23, -k = -4*m + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 163.74 kilometers?\nAnswer: 163740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/(-1 - (1302\/(-324) - -3)) and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b + 629 - 335 = 2*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 496442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 53. Suppose 0 = -k + 1 + 16. Calculate the remainder when c is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((3 - 3) + (6 - 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 403 - (-12 + -8 + 15). Let y be (45 + -46)\/(0 - (-1)\/(-11)). Calculate the greatest common divisor of y and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let a(l) = 7*l**2 + 3*l + 6. Let o(n) = a(n) - 6*j(n). Give o(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -4*g. Suppose g*f + 12 = h, h + 2*f - 4*f = 8. Suppose -4*l - 513 - 3004 = -5*o, -2*l + 2798 = h*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 5. Let t be q\/(2\/2)*-3. What are the prime factors of (-7)\/(4\/t - (-51)\/45)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 143e - 9442?\nAnswer: -8004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*o**3\/9 + 24956*o**2\/3 + 187232*o\/9 - 37444\/3 = 0. What is o?\nAnswer: -3, 1\/2, 9361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1000)\/45 - 2\/(-9). Let p be o\/6*(1 + -4). Let q be 11 + 0 - (2 - 2). What is the highest common factor of q and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p - 1680 = -15834. What is the smallest common multiple of 10 and p?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 divided by -134632?\nAnswer: -257\/67316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 = -120*o + 11*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - h - 1076, 13*c + 520 = 14*c - 5*h. Suppose 3*b - 9*b = -c. Calculate the smallest common multiple of b and 33.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 120, 18, -3, -1, 17 in decreasing order.\nAnswer: 120, 18, 17, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5 - 269. Let t = -39 - l. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - m**2 - 5*m**4 - 243*m - 348*m + 653*m in the form x*m**3 + n + v*m**4 + l*m**2 + b*m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/17 (c) 3\/13 (d) 5\/76 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*u = -329, 63 = f + 80*u - 84*u. Solve -27*r - f = -14*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + 21*k + 60720000. Round k to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*z + 9*z**2 + 4*z - 3*z - 11*z wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109245755 by -3767095.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 0.4, -3\/7 in ascending order.\nAnswer: -69, -3\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 20*u. Suppose u = -3*z - n + 67, -5*n + 0 = 10. Suppose 21*k = z*k - 64. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from uqccx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 = -31. Let l(g) = -g**3 - 6*g**2 - g + 8. Let v be l(f). Solve 0 = 2*d - v + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**3*o)\/(o\/o**(-5)))**(4\/5) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/9637 + 1840121\/876967. Let h = y - -3\/26. Let j = 19522 + -624631\/32. Find the common denominator of j and h.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 474, 1898, 4014, 6570, 9314?\n\"Answer: -42*a**3 + 598*a**2 - 76*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(5\/(-1000)). Suppose -4 = 2*j - y. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 164*i + 108. Let u(p) = 12*p + 8. Let m(f) = -5*d(f) + 68*u(f). Suppose -2*c + 7 = -7. Give m(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 5*z = -25, 4*c + 4*z = 8. Suppose 0*y = -c*y + 100. Suppose 3*k - 2*k = y. Calculate the highest common divisor of 200 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -125. Let q be (-12)\/(-9)*(9 - m). Let w = 176 + -178. What is the closest to -1 in q, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*o)*(-6 + 6 - 7*o) - 2*o**2 + 3*o**2 + 0*o**2 + (0*o + 3*o - 5*o)*(o + 0*o - 5*o) to v*o**2 + c*o + p and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 718\/29 (c) 1 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27855783 and 18.\nAnswer: 55711566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 351\/2223*4\/(-6).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.963 + -0.037. Put w, 0.4, 5, -3\/4 in decreasing order.\nAnswer: 5, 0.4, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-44) - 1) + 12\/24?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6614981\/12 less than -551248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + -4 + (6 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-17 - (5 + -10)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/224 - (-1)\/2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*m = -32, 2*x - 17*m = -13*m - 6 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67446 - 0?\nAnswer: 67446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, k: 2, w: 10}. What is prob of sequence xwk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16*y. Let k be 10\/(-420) - 473\/(-903). Let m(x) be the first derivative of -20 + 0*x + k*x**2. Calculate m(u(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -1\/2*s**3 + 0*s**2 + 0 - 2*s. Let z(h) be the third derivative of h**4\/12 + 7*h**2. Calculate z(j(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/3)))**27)**(6\/25)\/(f**8\/(f**(-2\/5)*f))**(2\/75) assuming f is positive.\nAnswer: f**(-884\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.08 + 0.08. Suppose 13 = 4*r - 59. Let w = r - 17. Which is the smallest value? (a) o (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.631 + 62.669. Let g = j + -3.3. What is the nearest to -1 in g, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 10*g + 9. Sort -2, 217, g in descending order.\nAnswer: 217, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9397, -9279, -9161, -9043?\n\"Answer: 118*m - 9515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 46 = -2*o, -2*o - 2 = v + 5. What is the hundreds digit of ((-151)\/6)\/(v\/78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -20 + 11 + 10 - 7*g**2 + g**3 - 2*g**3. Calculate s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2. Let b(h) be the third derivative of h**5\/15 + 13*h**2. Calculate b(d(a)).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -148, -147, -146, -145, -144?\n\"Answer: s - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.81 - -0.81. Sort 1\/3, 1\/4, 0.4, m.\nAnswer: m, 1\/4, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 1.26. Let q = 0.14 + g. Put q, -0.2, -3 in decreasing order.\nAnswer: q, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -551243.9 - -0.01119531.\nAnswer: -551243.88880469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 5)*(2*w + 2*w**2 - 2*w) + 61*w**2 + 60*w**2 - 176*w**2 + 58*w**2 - 348 in the form s*w**2 + n*w + k and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, v: 5, g: 1, b: 4}. What is prob of picking 3 r?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289105 and 2680?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9308215.\nAnswer: 5, 7, 23, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5998794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001 - 11010?\nAnswer: 100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.4 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {v: 2, l: 3, c: 4, u: 1, p: 2, s: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1845263579 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80833921 and 973?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 2*x - 136 = 0, 1485*x - 233 = g + 1481*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2530, 234, -1\/2 in decreasing order.\nAnswer: 2530, 234, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/14)*t\/(t\/(t**(-21)*t))*t*t*t**2*t**(-9\/5) assuming t is positive.\nAnswer: t**(-1251\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q. Suppose 9 = 2*b - 1. Let s(t) = 6*t. Let l(f) = b*s(f) - 6*u(f). Let i(k) = k. What is 39*i(c) + 6*l(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrqh when four letters picked without replacement from chrqqhhhzchrzzcccc.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2210 = 41*d + 24*d + 65*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24173, 306 in ascending order.\nAnswer: -3, 306, 24173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -169729000 rounded to the nearest one million?\nAnswer: -170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:44 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 11 + -6 - (2 - (7 + -6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6202089?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 12:59 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43916 - 19863. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -5, 23 in ascending order.\nAnswer: -86, -5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 107684.08.\nAnswer: 107683.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 88*z**2 + 0*z + 0*z**4 + 0 - 3\/14*z**7 - 29\/15*z**5 + 0*z**6 + 0*z**3. What is the third derivative of o(k) wrt k?\nAnswer: -1080*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03867 and 0.3?\nAnswer: 0.011601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 175*(11 - 6)*1 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 245075 and 3185983\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/95*(5\/(-2))\/5\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -60259619 to the nearest one million.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8815812773420.8399983 + 8815813397736. Let y = p - 624315. Let l = -0.16 + y. What is l rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680*p - 203*p = 45291 + 1508 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 948 and 540?\nAnswer: 42660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/24)\/(200\/320)*-3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8 - 4. What is the second derivative of p + 12 - 12 + h*p**2 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m - 8*m + 21*m)*(-2*m**4 + 1 + 25*m**3 - 25*m**3 + 2*m).\nAnswer: -12*m**5 + 12*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o**2 + 6*o + 4. What is n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 102, -1, -2.\nAnswer: -2, -1, 6, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 5. Let o be m(-7). Let w be o*(3 + (-5)\/2). Is (-6)\/w*(-254)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s - 16. Let z = -23 + s. Suppose -5*o = -15, -4*p + 12 = -5*p + 2*o. Which is greater: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -486?\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -9*5\/(-3). Let p = 54 + j. Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4040*s**3 - 2*s - 2042*s**3 + 2*s - 2044*s**3.\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -640*q**4 + 51*q**3 + 52*q**2 - 230243920 wrt q?\nAnswer: -2560*q**3 + 153*q**2 + 104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 6 - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 + 37\/(-85). Is 1 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2821*s - 880136. Determine x(-312).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 158826 - 158826.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/28 - 129*m**3\/14 + 750*m**2\/7 - m - 691. Solve c(w) = 0.\nAnswer: 4, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 467125708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m**3 - 2 - 5 + 5 + 13*m**3.\nAnswer: 55*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7083b9 + -111?\nAnswer: -7084ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0098776 times 45\nAnswer: 0.444492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**8\/336 - b**7\/28 - b**6\/24 + 5*b**5\/12 - 43*b**3\/3 + b**2 - 24*b. Let t(j) be the first derivative of l(j). Factor t(g).\nAnswer: -5*g*(g - 1)*(g + 2)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109906, 109177, 108448, 107719, 106990, 106261?\nAnswer: 105532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 11. Suppose -4*w + 7*n = 6*n - 6, -2*w + 8 = 2*n. Put q, -5, w in ascending order.\nAnswer: -5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 772 - 772 + 51*p + (-p + 3*p - 4*p)*(-2 - 1 + 8).\nAnswer: 41*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, j: 2, p: 2, g: 1, x: 2, r: 1}. What is prob of sequence xjj?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37305989 rounded to the nearest one hundred thousand?\nAnswer: 37300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4853*s**2 - 16956*s wrt s?\nAnswer: 9706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13867.937 - 13884. Let b = j + 0.063. Let l = -29.3 - b. What is l rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363) + -1 + sqrt(363))) + -1 + 5 + 2 + 2*sqrt(363) + 0)**2.\nAnswer: 154*sqrt(3) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25807839, -25807838, -25807837, -25807836, -25807835?\nAnswer: -25807834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22+-10535121\nAnswer: -10535143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -539261*10\/(-5)*(7 - 78\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*0.147.\nAnswer: -0.01323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/10) - (-202)\/303. Which is the second biggest value? (a) r (b) -4 (c) 0.2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347 + -88. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 + -154. Calculate the remainder when (1\/(-2))\/(5\/(-260)) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*a - 22, 6 + 19 = 3*s + 2*a. Let l = -49 + 84. Calculate the remainder when l is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, j: 1, v: 1, c: 1}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 647149?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 8. Let v(n) be the first derivative of 14*n**2 + 2*n + 767. What is the units digit of v(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 2*m**2 + 8 - m**2 + 10 - 19. Let g = -72 - -73. Let c(s) = 9*s**2 - 4*s - 8. Calculate g*c(j) - 6*u(j).\nAnswer: 3*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162088916.\nAnswer: 2, 11, 3683839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15))\/(2\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(sqrt(2816) + 2) + 5)**2.\nAnswer: -320*sqrt(11) + 11289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.3964 to the nearest integer.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -1\/12*t**4 - 111*t**2 + 0*t - 19\/120*t**6 + 0*t**5 + 0 - 23\/2*t**3. Differentiate n(w) wrt w.\nAnswer: -57*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3423111340 (base 5) to base 15\nAnswer: -a0a680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 0.4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 27*b**3 + b**2 + b. Let l be z(2). Find the common denominator of 52\/9 and 2\/(-5) - l\/70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.03 + -0.17. Let f = p - 0.35. Let x = 4.6 + f. What is x rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 47 = -12*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 + 2*p - 4. Give o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:29 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18858356 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751668 is divided by 1820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/5)\/(3003\/(-715)) + (-114)\/315.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/((j**(-36)\/j)\/j))\/j)*j*j**(-7\/5)\/j assuming j is positive.\nAnswer: j**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10508*l = 3*k - 10509*l + 6, -9*l = -2*k + 7*l - 188 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274707, 1098846, 2472411, 4395402, 6867819?\nAnswer: 9889662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12718.\nAnswer: 2, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-3)\/(-4)) - 1. Suppose 5*k = -8 + m. Let f = 9 + -9. Sort f, k, 2.\nAnswer: k, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*h - 4055 = 8257, 3*h = 9. Suppose -910 = -5*m + g. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 6*o**2 - 6*o - 19. What is p(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*h + 24191, -19*h + 16*h = -3. List the prime factors of l.\nAnswer: 3, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -419 at least as big as -419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = 8. Suppose -6*b + 11*b = 2*s - 556, 0 = -s + 5*b + 283. What is the common denominator of 15\/2 and 5\/l + 1 - s\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a = -5*l - 56*a + 15, 5*l = -4*a + 19 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/5 (b) -0.2 (c) -6 (d) -2 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1)\/sqrt(6) - sqrt(24))\/(2*sqrt(800)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) -97\/6 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936 by -24.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/3 - j**3 - 3*j**2. What is the remainder when (1 - -1)*(24 + 1) is divided by u(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2965994 and 596.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 4772?\nAnswer: 62036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 51*o**2 - 233*o - 5170. Calculate r(-25).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 4 - (17 + -19))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 < 80327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 25*k + 350. Let l be j(-14). Solve 2*m - 3*m - 4 = 0, l = -2*t + 2*m + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*j + 58823, -4*j - 2015 - 56773 = -4*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 354 - 306. What is the greatest common divisor of w and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.6, 0.4, -5298 in ascending order.\nAnswer: -5298, 0.4, 12.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3623848 by -1724.\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - 9 - ((8 - 0 - 13) + -5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (14050\/150)\/(-2*(-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2269560859 to the nearest 1000000.\nAnswer: 2270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/6*(-5 - 1). What is the third derivative of -3*h**2 + 0 + o - 9*h**4 - 1 wrt h?\nAnswer: -216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*n + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) -4 (c) 1.1 (d) 12 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.1 + 0.1. Suppose 0 = t - 1, 0 + 5 = -j + 5*t. Let o = -154.859 - -154.359. Sort a, j, o.\nAnswer: a, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109409?\nAnswer: 37, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 346 (b) 2 (c) 0.03 (d) -0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002203 (base 4) in base 2?\nAnswer: 1000010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51673 divided by -1.\nAnswer: 51673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 26*o + 2. Let p be h(2). Suppose -3*i = -p + 6. Suppose -2*r - i = -6*r. Solve 3*b + r*w + 18 = -11, -4*w - 11 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u - 10 = 0. Suppose -15 = u*h - 4*g, 4*h + 5 = 5*g - 16. Suppose -c + 5*c - 29 = 5*o, -2*c - 3*o - 13 = 0. Solve w - c = h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + -1 + sqrt(500))*6)**2 + -2)*-2.\nAnswer: -144068 + 2880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/217, 0, 204 in descending order.\nAnswer: 204, 0, -2\/217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 996 = 3*l - h, 5*l - 992 = 2*h. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(38475\/(-162))*-300?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 16. Let l be (-46)\/8 + 1\/(-4). Let c = p + l. Solve c = -2*j - j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (2*sqrt(90) - sqrt(90)))\/sqrt(3) - 2*sqrt(210)\/sqrt(7))\/(2*(-1*-5*sqrt(80))\/sqrt(8)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k + 4*o, 10*o - 17 = -3*k + 5*o. Solve -z - 25 = k*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 27, 12, -23, -78?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -279384, -5, -4, -1, 4 in increasing order.\nAnswer: -279384, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/4 + 7*q**3\/3 + 5*q**2\/2 + 23*q - 1531. Determine v(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10311 + 3?\nAnswer: 10314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 + (-186)\/(-10). Let z = 25 - w. Find the second derivative of 8*h + 5*h**2 + z*h - 2*h - 2*h wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46\/759)\/(-1*(-6)\/(-324))\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10362)\/(-11)*4\/3.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 10:27 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 172414649, 344829289, 517243929?\n\"Answer: 172414640*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -240*q - 39. Let f be j(3). Let g = f + 859. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 197775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -0.5 (c) -69\/7 (d) 2\/5 (e) 14 (f) -59\/3 (g) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-16)*-18)\/(3300\/200))\/((-42)\/56)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795*r**5 + 124435*r**4 - 426515*r**3 - 289915*r**2 + 231230*r - 30600 = 0. Calculate r.\nAnswer: -1, 10\/53, 1\/3, 4, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -948193*-3\nAnswer: 2844579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 169 + -7221?\nAnswer: -7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33872, -135351, -304432, -541115, -845400, -1217287?\nAnswer: -1656776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 5, -155, 2\/13, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a - 12. Let x(h) = -6. Let i(n) = 2*f(n) - 5*x(n). Let z = -101 - -100. Let c(o) = -1. Determine z*i(j) - 6*c(j).\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i + 33. Let y be o(5). Find the third derivative of 81*s**2 - 16*s**3 - y*s**2 - 14*s**3 - 13*s**3 wrt s.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2044561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = 2*j + 5*m, m = 4*j + 25. Let z(x) = -x**3 + 6*x**2 - 4*x - 1. Let h be z(3). Let t = h + j. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-2\/3))\/m*m*m*m*m**(-4\/3)*m)**(1\/27))**42)**(18\/7) assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 3\/197 (c) 1 (d) -11.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**4\/12 + 5*n**3\/3 - 5*n**2 + 7*n. Suppose l = -4*m + 30 - 0, -m + 5*l = -18. Calculate h(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196573087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 3*m**2 + 4*m + 2. Let u be b(-4). Let n(l) = -7*l + 3*l + u*l + 1 + 1. Calculate n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -500 + 489. Let n(v) = -v**2 - 23*v - 126. Let g be n(b). Suppose 3 + 77 = 5*k. Solve 2*w = g*w + k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpbpjmbcpcpcbmmcpu. Give prob of sequence uupu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/120 - f**5\/15 - f**4\/6 - f**3\/3 + 18*f**2. Let k(h) = -h**2 + 4*h + 2. Let y be k(5). What is m(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-516)\/946)\/(6\/(-33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-24)*(-40)\/(-10)*-5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*x + 228*x - 4 + 231*x - 684*x + 4.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1029, -2046, -3055, -4056, -5049, -6034?\n\"Answer: 4*y**2 - 1029*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.94 - 1.14. Which is the biggest value? (a) 0.4 (b) -7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135991755 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8815 - -14320. Let d = r - 5505.00005423. What is d rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345 (base 8) to base 2.\nAnswer: 11100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-819)*91\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 2*m**2 - m + 3. Let b(v) = -v**2 - 1. Let d(h) = 2*b(h) + s(h). Let l be 15\/(-3) + 10 + -4. Give d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:17 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swswgcww. What is prob of sequence wgw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*z + 137*z + 473 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let d be ((-9)\/6)\/((-6)\/8). Suppose -2 = -d*w - 8. Which is the nearest to t? (a) -5 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 55*a - 58*a + 310, -2*p - 3*a - 78 = a + 46 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 7. Let a be f(-10). Let n be 2\/a*(-33)\/(-11). Let q(o) = -64*o - 1. What is the tens digit of q(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63300 and 50510235?\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + (sqrt(9)\/(sqrt(9)\/sqrt(3)))**2)*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + p**2 + 4. Let s be (0 + 8)*6\/(-4). Let g be (0\/s)\/(0 - 1). What is l(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.59 - 1.41. Let i = w + 72. What is the smallest value in -1, 0, i, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:29 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*u - 570*u - 133224 = -284*u. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 297.799 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 - 6*v**2 - 4. Let y(w) = 4*w**3 + 5*w**2 + 3. Suppose -4*c - 12 - 12 = 0. Let b(u) = c*y(u) - 5*k(u). What is b(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -66, -98?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + (3 + -16 - -18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/4))**23\/(j**(-1\/9))**(-26))**(-8) assuming j is positive.\nAnswer: j**(1450\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2035 and 83\/2.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 - 108. Let d be (-1)\/(-1)*180\/9. Suppose -j - d = -6*j. Calculate the greatest common factor of j and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:10 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h = 30*h + 5*g + 2, 0 = 3*h + g + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 78. Solve 5*h - 5*u = 25, -1 + 0 = -5*h - g*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(3\/8)*k**(-3\/7))**30)**4)**(13\/3) assuming k is positive.\nAnswer: k**(-195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92d1 - 6?\nAnswer: 92cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/3 + 300*d**2 - 30272*d + 2083136\/3 = 0?\nAnswer: -538, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 9:01 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 176.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/39 (b) 1 (c) 99260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (15 + -27 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568793.\nAnswer: 41, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.51177 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4588642133.\nAnswer: 97, 167, 283267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**3 - 189*o**2 - 358*o - 624. Calculate m(-17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6165 is divided by 6160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2503116 - -15.275\nAnswer: -2503100.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 92.\nAnswer: 27\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -55. Let r = 40 - u. Suppose 1 = 3*l - r. Solve 3*w + 0 + 5 = -2*y, -y = -l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*j - 24, 4*h - 5*j = 6*h - 27. Which is the closest to h? (a) -2 (b) 4\/7 (c) 5 (d) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g**2 - 25. Let w be v(5). Suppose 9*p = w*p - 64. Solve -3*k - i = -6*k - 3, 3*i = -p*k - 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1, -3 in ascending order.\nAnswer: -3, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 461*w + 2 - 2*w**3 + 8*w**3 - 464*w + 11*w**4 in the form s*w**2 + k*w**4 + n*w**3 + j + u*w and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 4*l)*(-214*l**2 + 116*l**3 + 214*l**2)*(-2 + 2 + l) + (2*l - 2*l + 3*l**2)*(5 + 4*l**3 - 5) - 2*l**5 + 0*l**5 + 4*l**5.\nAnswer: 362*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 39. Suppose -r + 36 = 2*r. Calculate the remainder when x(6) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-36 - 9 + 22)*(-3*l**2 + 4*l**2 + 0*l**2)*(-3 + 5 - 3)*(3 - 6 - 7*l + 5) to the form y + i*l**3 + x*l**2 + t*l and give x.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -304 - -187. Let s = -116.9999864 - v. Round s to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 146200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*w + 416, -137 - 80 = -h + 2*w. List the prime factors of h.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:08 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -701790000 to the nearest one million.\nAnswer: -702000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 189, 198, 207, 216?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 13*a + 69. Calculate d(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 7c?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3) + 3 + 3. Let t = u - 9. Let n(g) = 0*g**2 - 2 - 7*g**2 + g**3 + 3. Let d(l) = l**3 - 4*l**2 + 1. What is t*n(q) + 5*d(q)?\nAnswer: 2*q**3 + q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*-2 + sqrt(63) + sqrt(63))*4*1)\/(sqrt(225)*-2*-2 + sqrt(225)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*s - 2 + 0 in the form l*s + q and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 9*g - 11. Let p be b(-8). Let z be -2*p\/(-6) - -3. What is the third derivative of -20*i**4 - 4*i**5 - i**5 + 20*i**4 - 7*i**z wrt i?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/76982037 and -36\/499235.\nAnswer: 384910185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -316 - -330. Solve 0 = -6*c - c - a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 + 318 = -2*f. Let w(r) be the first derivative of -1\/2*r**f + 3 + 0*r + 1\/9*r**3. Factor w(a).\nAnswer: a*(a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5\/2, 109, 0.4 in descending order.\nAnswer: 109, 0.4, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*l**2 - 1737143 + 1737143 - 303*l**2 - 423*l**2.\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 29*b - 15*b - 12*b as l + z*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v**2. Let i(h) = 2514*h + 2. What is g(i(q))?\nAnswer: 69522156*q**2 + 110616*q + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 15 - 15. Is p less than or equal to 4\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -1 + 17 + -6 + 1 + -23.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121.9 - -121.89273. Round y to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -367.67 + 368. What is l rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6261, -6221, -6179, -6135, -6089, -6041?\n\"Answer: l**2 + 37*l - 6299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in 2\/5, 3\/4, -9\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70600?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = 0. Let n = 9 - -1. Suppose -4 = 2*h, s = -o + 4*h + n + 1. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 55 - -1 - (42 + -48)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38380899?\nAnswer: 3, 3541, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 5)*(-f + 2*f + 0*f + (-f + 2 - 2)*(-2 + 4 + 0)) + 19*f + 13*f - 2*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136 - 40007?\nAnswer: -37651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qqzzdrqnqzr.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - -203. Suppose 25*n + h = 26*n. What is the highest common factor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 14) in base 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = m - 20, 54*u - 4*m = 55*u + 11 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1.1, -2, -7, -26\/19?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r - 2. Let h(y) = -14*y - 5. Let k(d) = 3*d**3 + 7*d - 2*d**3 - 4*d + 4*d**2. Let w be k(-2). Suppose 5*v - 12 = w*v. Determine v*h(f) - 11*p(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/535 and 97\/1124784.\nAnswer: 5623920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 i when four letters picked without replacement from iiwwiwttiwwttt.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*k**4 + 0 + 1\/2*k**2 - 1\/4*k**5 - 6*k + 25\/4*k**3 = 0 for k.\nAnswer: -6, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a factor of 400462944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 84 - (1 + (-2 - -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + -2 + -4 + sqrt(2299) + -5 + 0)*3.\nAnswer: -66*sqrt(19) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -7, -68 in descending order.\nAnswer: 51, -7, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-4\/5)\/t))\/t**(2\/15)*(((t*t**1)\/t)\/t)\/t**(-1\/4))**(1\/5))**(2\/13) assuming t is positive.\nAnswer: t**(7\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 35*t + 19*t + 11*t. Let f(k) = 4*k**2. Determine v(f(d)).\nAnswer: 260*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1862714*k**3 + 7654143.\nAnswer: 5588142*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 2\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/14 + (-48)\/56 + -72. Let i = -73 - u. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - g - 1. Let h be l(0). Let p(o) = -o**3 - o - 1. Let k(f) be the second derivative of 2*f**3\/3 + 3*f**2\/2 + 4637*f. Give h*k(q) - 2*p(q).\nAnswer: 2*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 1 = o, -o - 2 = -64*c + 69*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - (-1712)\/(-112). Let k = 31 + 3. Let d = k + a. Solve -2*l + 26 = 4*w, -3*w + d = 5*l - 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -1001?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9405 = 2*w - 10849. Suppose 4*r = 2*r + 152. What is the highest common factor of r and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770819092883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 6*x - 31*x - 51 - 11 = -34*x, 0 = 2*y + 13*x - 2 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p + 21*p - 10*p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 8*n - 3. Let o(z) = -2*z + 3. Let k be o(-5). Let b = k + -19. What is y(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/33, 1, -2 in increasing order.\nAnswer: -2, -2\/33, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 5:57 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*d + 473600008, -18 = 4*d - 2. What is z rounded to the nearest 1000000?\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c + c + 4*c)*(3 + 0 - 1) + (-c - 1 + 1)*(-3 + 1 + 1))*(-123*c**3 + 63*c**3 - 204*c**3).\nAnswer: -1320*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81445.4 rounded to the nearest 1000?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = l + 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Suppose -l*o - 7 = 23. Let j be 2\/(-6)*o\/10. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(-3) + (-2 - 0). Let k be 5*7 - (-7 - -3). Suppose -s*r + k = -4*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)*1)\/(sqrt(72)\/(-2*sqrt(12))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from {i: 4, e: 5, p: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -764 divided by -191\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8379811 divided by 2.\nAnswer: 8379811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 31*m - 4. Let s be h(-4). Let f = 131 + s. Let z be f - (6 - (-25)\/(-5)). Solve -z*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 4. Let d be s(2). Solve -p - 9 = d*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1375 = 4*r, -426 + 92 = -r + 4*w. List the prime factors of r.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*b**4*n - b**4 + 2*b**3*n**3 - 4*b**2*n**3 - 14*b*n**3 wrt b.\nAnswer: -984*b*n - 24*b + 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -9. Calculate the remainder when 22 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282436.95 minutes in hours?\nAnswer: 4707.2825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*j = 70468, -159*j - 52851 = -3*l - 158*j. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157.132789 - 157.16. Round l to 4 dps.\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(459)*1)\/(sqrt(3) - sqrt(243)))*-3.\nAnswer: 9*sqrt(17)\/8 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -63817 divided by -1\nAnswer: 63817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + i + 25 = -0*d, 2*d = -4*i - 12. Let a = d - 2. Solve a*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/4 + 1441*s**3\/4 + 2889*s**2\/4 - 4329*s\/4 = 0. What is s?\nAnswer: -3, 0, 1, 1443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 - 125 - t**3 - t**3)*(-2*t + 5*t - t).\nAnswer: -4*t**4 - 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41215991.\nAnswer: 1907, 21613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 11*i**3 + 27 + 69 - 17)*(-3 + 1 - 1 + 2 - 5 + 1 + (-1 + 4 - 5)*(2 - 2 - 1) - 4 + 5 + 0 + 4 - 2 + 0 - 3 + 5 - 1).\nAnswer: 11*i**3 - 2*i**2 + 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -5806693?\nAnswer: -5806693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3291*0.174.\nAnswer: -572.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30a1 - 47?\nAnswer: 3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77501 - 77476. Suppose -4*z - 10 = -9*z. Sort q, 5, z in increasing order.\nAnswer: z, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1112166 and 250162?\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21219859351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = -4*j + 68, -5*j = -5*r + 35. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*g - 3194 + 35953. What are the prime factors of g?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 34*x - 27. Let u be f(5). Suppose 3*r = -4*w + u, -6*w + 5*w = 2*r - 37. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192097 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19773 - -19788. Calculate the remainder when 2351 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/1686 - -790171\/1686. Is r greater than or equal to 469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 6*i - 2*w, -6579 = -5*w - 6724 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.741282518 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -46*f. Let m(k) = 2100*k + 8. What is i(m(n))?\nAnswer: -96600*n - 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + 201888.2.\nAnswer: 201943.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1505 (base 7) to base 9\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269 + 274. Let j(h) be the second derivative of 1\/4*h**4 + 0*h**m + 0 - 4*h + 0*h**3 + 1\/15*h**6 + 0*h**2. What is the third derivative of j(s) wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.695 - -0.04.\nAnswer: 0.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - i**2 - 3*i + 1. Let g be n(2). What is the units digit of (g\/2)\/(17\/(-1020))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahpppppa. Give prob of picking 2 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 635 - 635.2. Let g = 0.6 + -2.6. Let u = g - -1.8. Are u and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d - 32. Let v be b(-6). Suppose -i = v*i. Suppose i = 2*y + 3 - 5, 139 = 2*h + 3*y. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence solo when four letters picked without replacement from sssoyolsyyy?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 22, -795, 5, 0.2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1492*p + 8. Let g(v) = -1254770*v - 6732. What is 2*g(f) + 1683*s(f)?\nAnswer: 1496*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v - 246 = 0. Let g be 1\/(2\/3*13\/26). What is the remainder when v is divided by 0 - 1 - (g + -47)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1385694 - -108086323\/78. Let x = w - 636\/13. Find the common denominator of 125\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 2*z - 3, 5*k + 5 = 5*z. Let l(d) = -d**2 + 5*d. Let c be (-2 - -1)\/((210\/(-75))\/14). Let u(v) = v**2 - 4*v. Determine c*u(y) + k*l(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (3 + 33*-1). Let t(c) = -2*c - 6. Let k be t(-5). Suppose 0*j + d = 3*j + k*y, -3*j + 32 = y. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3275840\/2496)\/145\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22044097 plus 0.023?\nAnswer: -22044096.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88.543 and -2.61?\nAnswer: 231.09723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q**1\/q)\/q)*q)**40*(q**(-1))**(-6\/11) assuming q is positive.\nAnswer: q**(1766\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13546043 (base 7) to base 5.\nAnswer: 311202333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 11*w - 2. What is the units digit of t(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukkkkkkkkkk. Give prob of picking 1 u and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 0*j + 2*j + 2*j - 5*j - 3*j to w*j + m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366 + -3?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**17*h)*h)\/h*h**1*h)**(7\/2) assuming h is positive.\nAnswer: h**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 98*c + 14. Is 30 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -988 by -38.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 599*j**5*m**3 - 9*j**5 - 3*j*m + 343*m**3 + 4 wrt j?\nAnswer: 11980*j**3*m**3 - 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = 4*i - 4*l + 155, -4*l + 8 = 0. Let p = -334649\/10 + 33550. Let b = p + i. Sort 2\/9, -5\/2, b, -0.2 in decreasing order.\nAnswer: 2\/9, b, -0.2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by 4?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -39. Suppose 2*j + 2*j = -5*b - o, 3*b = j - 11. Let l be (-92)\/(-20) + ((-4)\/(-5))\/2. Put l, j, -3\/2 in descending order.\nAnswer: l, j, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let n(s) = 7*s - 436. Let z(u) = 10*u - 445. Let j(t) = 6*n(t) - 5*z(t). Calculate p(j(w)).\nAnswer: 64*w**2 + 6256*w + 152881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w - 13. Let u(i) = 13*i - 78. Let b be u(6). Give d(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -35*x + 1084. Determine n(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2 + f - 1. Let s(x) = x**3 + 2*x**2 + 9*x - 2. Let m(t) = s(t) - 2*z(t). What is the units digit of m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r, o + 0*o + 2*r + 36 = 0. Do -33 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.8. Let s = -12 - -11. Which is the closest to s? (a) f (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = m - 25 - 22, -4*m + 19*s = -17*s + 39*s + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tft when three letters picked without replacement from fttu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 8*u + 8. Let j be d(3). Suppose 5*c + j*c = 1638. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + (-2 + 2)\/(-3). Let p be (-4)\/(-3)*(-1 + -2). Let x = n + p. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69637144 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*m - 6237 = 0, -2*d - 2*d + 5*m = 5006. Let l = d - -3044. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 150, 297, 454, 627, 822, 1045, 1302, 1599?\n\"Answer: z**3 - z**2 + 143*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/23? (a) 16\/41 (b) 1\/5 (c) -4\/9 (d) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589536 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/s**(2\/5)*s*s*s**(-2\/75) assuming s is positive.\nAnswer: s**(343\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1264*-9.\nAnswer: -1.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (8 + -8 + 0 + -7)) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((3 - 3) + -5). Suppose 0*n = 5*r - 3*n - 92, h*r = -4*n + 16. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -211, -231, -273, -343, -447?\n\"Answer: -y**3 - 5*y**2 + 2*y - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 0*m**2 - m**2)*(1 + 3 - 4*m - 2).\nAnswer: 8*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 54 + -51 - (0 - 1 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14124573?\nAnswer: 3, 1569397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-19)*x\/x**1*((x\/((x*x**(1\/17)\/x)\/x))\/x)\/(x*x**(-1\/44)) assuming x is positive.\nAnswer: x**(-13491\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1327, 49 in descending order.\nAnswer: 1327, 49, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -4638*q + 4681*q. Solve 25*l = 23*l - q*o - 10, l - 4*o - 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323812?\nAnswer: 2, 80953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tat when three letters picked without replacement from zztttazztzaazztza.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/(1\/(-6)). Suppose 8*n + 39 = 15. What is the units digit of 3 + n - w - -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.0104 - -0.0404. Let m = 3 + n. Let r = -1238 + 1238. What is the smallest value in r, 2, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86979 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:22 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 409571529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 8)*(-2*w**2 - w + w) + (w - 2*w - 4*w)*(-2 + 12 + 2)*(3 - 3 + 2*w)*(-5 + 2 + 4).\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1309\/5 - 261. Which is the closest to -1? (a) 6 (b) -4\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 32 = -3*z. Let i = 13 - z. Suppose -5*l = t + 23, -2*t + l = -13 + i. Solve 6*g = t*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4}. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((112\/(-72))\/(-7)*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*30\/15*(-2)\/24*3. Suppose 4*q = -20, -3*d = q + 2 - 27. Does 11 divide -13*55\/d*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0065740918 to six dps.\nAnswer: -0.006574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 14*v + 8. What are the prime factors of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4283744 is divided by 14426.\nAnswer: 13648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q - 189 = 78*q - 2971. Solve -q = 2*w - 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 10.6, -91.36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, m: 2, i: 1}. What is prob of sequence mxi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5269*y + 16 - 5271*y - 1 + 12.\nAnswer: -2*y + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 3*o**2 + o - 3. Determine i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2555479 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:38 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/28*(-2)\/(16\/55).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 370, 650, 1084, 1696, 2510, 3550?\nAnswer: 4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k - 3 - 4 - 2*k**4 - k - 3*k - 6*k**2 as v*k**2 + l + m*k**4 + f*k + g*k**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 32598*x + 260976 = 0 for x.\nAnswer: -10874, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 549\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1023 and 409882.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13968 is divided by 295.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 3*a**2 - 6*a**2 + (-5*a + a + 3*a)*(0*a - a + 3*a) + a**2 + 0 + 0 + (0*a + a + 0*a)*(2 + 4*a - a - a).\nAnswer: -a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3363*k**3*u - 9693*k**3 - k + 3*u wrt u?\nAnswer: 3363*k**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4216*h**3 - 686*h**2?\nAnswer: -25296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1132, 2248, 3364?\nAnswer: 4480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 853*m. Let c(o) = -4*o. Calculate c(d(g)).\nAnswer: -3412*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 = -55. Suppose -2*y + 47 = -p. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q = 1914052 + 5984233. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/150*-16)\/2*(-20)\/(-88).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 + 8.88. Let t = n - 7. Let b be (-1)\/(-6)*(-6)\/4. What is the biggest value in 0.3, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 3*u + 3 + 5*u + u - 3*u + u + u - 5*u + 3*u + 3*u - 3*u - 2*u + (3*u - u - 4*u)*(5 - 3 - 1) - 7 - 4*u + 7.\nAnswer: -9*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) + 3\/216*26.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 - -268. Let k = -18 - -16. Let m = 2 - k. Solve p = -2*l + 7*l + m*t - 4, -2*l + 4*t - 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let v be t(1). Let r = -6774 - -6772. Let k = 3 - 2.8. Put r, v, k in descending order.\nAnswer: v, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/42 - 3\/9. Let j(o) = o**3 + 15*o**2 - 17*o + 4. Let h be j(-16). Suppose -t + h = 21. Is t at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78641\/26 - -3025. Which is the closest to 1? (a) w (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144211859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**8\/1008 - z**7\/315 - 10*z**2. Factor q(h).\nAnswer: -h**4*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/9756 and 43\/306?\nAnswer: 165852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/760*(1\/(-1))\/(-1)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552705?\nAnswer: 3, 5, 36847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23587\/40 - -2949\/5. Put t, 1618, 2 in descending order.\nAnswer: 1618, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -761 + 5?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166051*k - 11 = 4*o - 166058*k + 8, o - 9 = -k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(114)\/sqrt(6) - sqrt(19)) - (0 + sqrt(19)*4)) + ((1*sqrt(171) - sqrt(171))*1)\/(sqrt(81)*-5))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930\/8835 - (-321)\/19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 448*t - 28982. Determine y(53).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 39 = 29. Solve o*g = -2*m, 0 + 10 = -5*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 2\/13, -1\/16.\nAnswer: -2, -1\/16, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 4*k - 2*a, 2*a = -0*a + 2. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3092 and 643524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.36459 nanometers in millimeters?\nAnswer: 0.00008436459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(190)*2 - sqrt(190)) + (sqrt(190) + (sqrt(190) - (sqrt(190)*1 - sqrt(190))) + sqrt(190))*-1)*3)\/(sqrt(640)*-2 - -2*sqrt(60)\/sqrt(6)).\nAnswer: 18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + x + 13. Suppose -52*u + 67*u = 0. What is b(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (35\/(-5))\/(2\/(-4)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.84*-22.9515.\nAnswer: -42.23076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1506145, 1506283, 1506419, 1506553, 1506685?\nAnswer: 1506815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2189713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 8) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 186, 179, 180, 195, 230, 291?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmemmmmmezmemmm. What is prob of sequence mm?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.082, -0.21, 2, 5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 25. Let g be 23\/7 + 2\/(-7). What is the smallest common multiple of g\/(-2)*h\/(-6) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2312 and 102079424.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4, -36, -1, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 14 - 49. Suppose -4*f + 5*q - 151994 = 3*q, 0 = 4*f + p*q + 152015. What is f rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h, 133 = -5*w - 2*h + 1261. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -144, -502, -1200, -2352?\n\"Answer: -19*s**3 + s**2 - 2*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 0*t**2 + 3*t - 5\/3*t**3 - 44. Let p(s) = -1 - 1 + 3*s**2 + s**2. Calculate 3*p(j) + 2*x(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)*(-10)\/(-10) + -1. Suppose -466 = -4*f + 3*z + 297, v = 2*f + 5*z - 401. Calculate the remainder when f is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1856573756.\nAnswer: 2, 31, 14972369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:25 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 12. Let v be c(-17). Solve v*z = 4*q + 3*z - 14, 0 = q - 4*z - 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 12 = -4*m, m + 2*m + 2*f - 9 = 0. Suppose 11*w - 6*w = m*b + 890, -178 = -w + b. Calculate the remainder when w is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 + -ac?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.20442 millennia to years.\nAnswer: 40204.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1012 - -1012. Factor -1\/4*q + h*q**3 + 1\/2*q**4 + 1\/4*q**5 + 0 - 1\/2*q**2.\nAnswer: q*(q - 1)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (84\/10)\/((-3)\/(-20)). Let j = 548 - 237. Let i = 325 - j. What is the greatest common factor of d and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 7*q**2 - 10*q - 6. What is the hundreds digit of j(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -7*r**3\/3 - 3*r**2 + 4*r. Let k = 6 - -7. Calculate the remainder when g(-4) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133.43 + 1.43. Let w = 132.3 + r. Which is the biggest value? (a) -31 (b) 2\/15 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k*y**4 + 15*k*y**3 - 2*k*y**2 + k - 5*y**6 + 122*y**2 - 4 wrt y.\nAnswer: 48*k*y + 90*k - 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/2727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*((-12)\/(-5) - (-148)\/(-37)). Solve 15*t - b*t + 35 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8.6 (b) 38 (c) 13.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 2*p - 6. Let i be d(-12). Suppose -1766 = -3*l + 2*n - 417, l - n - i = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - (-6)\/(-30). Suppose 0 = 4*k - 8 - y. Solve -2*f + 12 = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (8 - (-15 + 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**4\/2 - 11*s**3\/6 - 10*s**2 + 227*s. Let g(i) = -4*i**2 + 7*i + 13. Determine 8*g(q) + 5*t(q).\nAnswer: -2*q**2 + q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -12. Let t(f) = -f**3 - 2 + 6*f + f - 5*f**2 - 2*f. What are the prime factors of t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 7 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*t - 7 + 1, 4*t = -4*r. Let j be (5 - -19)\/(2\/(8\/6)). Suppose -u - r*u = -j. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/7 - 124*f**2\/7 - 136*f - 1440\/7.\nAnswer: -4*(f + 2)*(f + 9)*(f + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/15*1)\/(6*(-2)\/(-80))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 541 = -989. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 + 19)*(-2)\/(-6). Let r be a + (-2 - -1)*2. Let n = -96 + 1251\/13. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 7. Let a be g(-1). Let l = 589 - 594. Let c be 1 + 1 + (2 - 0). Put 5, a, c, l in increasing order.\nAnswer: l, a, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m. Let n be x(1). Find s such that -2*s**2 + 14*s + s**4 - 16*s**2 - 3*s**4 + 6 - 10 + n*s**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 1 (b) 5 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 168002*t - 168004.\nAnswer: 2*(t - 84002)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w + 83 = 323. Solve 27 = w*v + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 3*g + 3. Let h be z(3). Let p = h + 27. Let n be (4\/p)\/(4\/18). Sort 2, n, 1\/7.\nAnswer: 1\/7, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 21 = 11. Find the second derivative of 135*s - 16*s**c - 4*s**5 + 22*s wrt s.\nAnswer: -400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -28*i - 4. Let d(r) = 6 - 18 + 5 - 55*r. Let p(g) = 3*d(g) - 5*q(g). Find the first derivative of p(a) wrt a.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983 a factor of 341993992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 12?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**2 + 7*p. Let h(q) = -7*q**3 - 49*q**2 - 15*q - 111. Let r be h(-7). Let g(d) = 9*d**2 - 6*d. Determine r*k(w) - 7*g(w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12268674 divided by -3?\nAnswer: -4089558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t. Let a be 12\/20*(2 + 3). Let l(c) = -10*c + a*c + 16*c. Give l(r(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - c - 52 = -0*w - 2, 0*w + 4*c + 88 = 10*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 8. Let a(b) = -2*b - 2. Let p be a(z). Suppose -c - i = -p*i - 17, -3*c + 48 = -2*i. Solve 0 = 5*r + 2*n, -2*r - c = 4*n - 6*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -44*p**2 - 52*p**2 + 95*p**2. Let q(m) = -m. Give q(s(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -409 take away 2336.505?\nAnswer: -2745.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/9 - (6 - 5). Which is the closest to -0.1? (a) q (b) -2\/5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309243*s + 309243*s + 15*s**3 + s**3.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55699 less than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6677, 12, 3.\nAnswer: -6677, -4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17580*d**3*m + 9*d**3 + 14*d**2*m + 19*d*m - 2*d - 1 wrt d.\nAnswer: 105480*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 804867277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = 147. Suppose -q = 6*q - h. Suppose 2*i - q*i + 80 = 0. Solve 2*z + 2*z = -4*x - i, -6 = -2*z + 5*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -6 + 18 - -28\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = -4*y - 2*c, -4*y - 2*c + 30 = 0. Let f be (-18)\/y + (-2)\/5. Let l be -13*(-2 - f)\/(-2). Round l to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 52*a**4 + 4*a**3 - 192*a - 3. Let n(y) = 2*y**4 + y**2 - y + 1. Let i(q) = 3*n(q) + w(q). What is the third derivative of i(t) wrt t?\nAnswer: 1392*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -26*s - 13. Calculate d(4).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -343 (b) -38138 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b = 24. Let x be (-2)\/b + 380\/80. Suppose -6*f + 2*f - 134 = -3*w, -x*w - 4*f + 170 = 0. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 92 = 4*n, -3*k = 8 - 2. Let s = -16 + n. Suppose -s*t + t + 20 = 0. Solve -10 = t*r + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2872 = -52. What is the smallest common multiple of 12 and b?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -27809 and -46136 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 divided by 4?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 2*a + 2*a**2)*(-1 + 0 + 5)*(-3 + 2 - 3)*(-10 + 14 - 76) in the form d*a + x*a**2 + y and give x.\nAnswer: 2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -1\/30*i**5 + 53\/6*i**3 + 0 + 0*i**6 - 1\/105*i**7 + 53*i**2 + 0*i**4 + 0*i. What is the first derivative of q(r) wrt r?\nAnswer: -8*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3712, -2, 0.5?\nAnswer: -3712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - q**2 + 0*q**2 - 4*q**2 + 3*q**2 + 0*q**2 + (2 - 2 - 1)*(7*q**2 + 2*q**2 - 5*q**2).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 14, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let n(q) = q + 14. Let l be n(-12). Suppose -c = 5*g - 26, 0*g = -l*g + 4*c + 6. Let r(d) = 42 - 42 + g*d**2 - 15*d**2. Calculate r(v(o)).\nAnswer: -40*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3388) - -2*sqrt(3388))\/(sqrt(4) + sqrt(4)*-2*1).\nAnswer: -33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, 1 v, and 1 f when four letters picked without replacement from {y: 4, s: 1, i: 2, f: 1, x: 1, v: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxxsxxxxxxsss. What is prob of picking 1 x and 3 s?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 11*o + 66*o + 4990 + 266 for o.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 2*o - 8. Let b be i(-5). Suppose 3 + 0 = v. Suppose -10 = -v*y + 11. Is b > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k - 17. Let h be v(-4). Solve 5 = 2*b - u, 5*b - h - 7 = 5*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 19 - (-32 + 1 - (10 + -3))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -576 + 1730\/3. Let w = -0.034 - 0.366. Put 5.3, w, h in decreasing order.\nAnswer: 5.3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*a + 2*a - 73181 = 0, 0 = -5*w - 3*a + 122000. What is w rounded to the nearest one hundred?\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 - 4.9. Let k = -0.3 - 0. Let f = 4 + -2. Which is the closest to l? (a) f (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*j + 159*j - 636*j + 155*j + 168*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3255\/(-9) + 3)*(-18)\/(-4). Let n = 1500 - j. Let m = n + 41. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-9)*(-5)\/(20\/(-96)). Let n = i + 11. What is the closest to 3 in -2\/3, -2\/15, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14+-43.3494\nAnswer: -57.3494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 202 and 70200528.\nAnswer: 70200730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(450))*3)\/(1*sqrt(96))*-4.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 6*w + 3. Let s be -4 + 4\/(-8)*4 + 3. Let j be t(s). Is 24*(4\/j)\/((-1)\/(-4)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, u: 1, x: 1, q: 2}. Give prob of picking 2 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + 5\/(-15). Suppose q = -2*o + 6*o. Suppose -m - a + 13 = -o*m, 7 = -m + 4*a. Solve 3 + m = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2 - 18 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-31))\/(p**(13\/3)*p))\/(((p*p*p*p**19)\/p)\/(p**(1\/3)\/p)) assuming p is positive.\nAnswer: p**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(1 - -9). Solve 4*q + i - 11 = 0, 2*q = t*i + 15 + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*1 + -9 + 11)\/2. Does 8 divide 120\/(m - 3)*32\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*r + 64. Let d = r + -21. Suppose -a + 1 + 4 = 0, -3*c + d*a = -47. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 1434047?\nAnswer: 7\/1434047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etrtr. What is prob of sequence trte?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 12418.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = y. Let f(o) = 2 - 3*o + 4*o**2 + o**y - 5 - o**2. Give f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 29888647 and 54630.\nAnswer: 29943277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55803 by -18601.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 15*i**2 - i - 5. Let n be m(-15). Let j(z) = -z**2 + 16*z - 33. What is the least common multiple of j(n) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a - 23 = -52*a + 4*i, 3*a + 2*i + 19 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+2.621\nAnswer: 2.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 30*n**2 - 69*n - 158. Let o be c(-32). What is the biggest value in -4\/5, -4, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 110151?\nAnswer: 110152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxqqqxcccqcqqqcc. Give prob of sequence xqx.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*p - 3*p - 954, 0 = -2*p - 2. What are the prime factors of z?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4559.89 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g. Suppose -3*j = 2*j - 5, 2*p - 5*j - 11 = g. Which is greater: 9 or p?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 10*m**2 + 11*m - 12. What is l(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/24)\/((-3)\/(-24)). Suppose -z + 3 = a*z. Is 1\/(0 - z\/(-145)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 bigger than -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d + 487 = 47 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200041?\nAnswer: 200041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i - 11*i**2)*((0*i**2 - 4*i**2 + 5*i**2)*(0*i - 4*i - 4*i) + i**3 + 0 + 0) + (-i**2 - 4*i + 4*i)*(-i**3 - 2*i**3 + 5*i**3).\nAnswer: 75*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -18*c - 300. Let a be t(-23). Which is bigger: 116 or a?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from gogccgoccoocog?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 190*o - 1341. What is c(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*l + 16 = 0, 4*d = -0*d + 5*l + 21. Suppose -13*y + 14*y - 1 = -d*u, y = -2*u + 3. Solve -p + 0 = y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(1 + -1*(sqrt(117) + 6*sqrt(117)*3 + sqrt(117))*-4 + -1))**2.\nAnswer: 18720003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/(-5) + 27 + -36. What is the closest to -1 in -1.4, 4, -1\/2, j?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*p = 45, -2*w + p + 13 = 4*p. Suppose 5*m - 2 = -h, -h = -3*m - w + 1. Solve h*k - 4*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -181 + 990. What are the prime factors of p?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -4, 2, -2, -7\/589, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 430 - 426. Suppose 0 = -7*n + 3*n - 2*q + y, 5*n - 11 = -q. Solve -n*r = 4*b - 3, 3*r - 7*r + 20 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*n + 247*n - 3342 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 3*f**2 + 13 - 8 to the form j*f**2 + s + i*f and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 209.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37509900 divided by 4.\nAnswer: 9377475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 7*l**3\/3 - 15*l**2\/2 + 4*l + 72. Let w be x(2). Suppose o + 4*u = -13, 5*o - 25 = -0*o - 2*u. Solve -w*r + 3 + o = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606016 to the power of 1\/2, to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010011001 - 1000?\nAnswer: 1010010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - a - 4)*(1469*a**3 + 1006*a**3 - 464*a**3 - 289*a**3) + 0*a**4 - 2*a**4 + 4*a**4 in the form u*a**3 + v*a**4 + c*a + r + p*a**2 and give v.\nAnswer: -1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(-3*a - 2*a**2 + 3*a) - a**2 - 2*a + 2*a + (0 + 2 - 4)*(5 - 5 + 2*a**2) + 0 - 2*a**2 + 0 to the form l*a + c + t*a**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 - 2*c**2 + 4*c + 8. Let v(j) = -3*j**2 + 9*j - 9. Let z(m) = 9*s(m) + 4*v(m). Let i(d) = -2*d**2. What is z(i(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 3. Let z = 7 + d. Let m = -67 + 602\/9. Does m = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -4.7, 0, -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (3159\/(-26))\/27. What is the closest to 1\/2 in 1, -1, o, -2\/125?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-5) + (-24)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let n be 1*1*(w + 0). What are the prime factors of 0 + 0 + (5 - n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22183 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1628070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2)\/(8\/(-5572)). Let i = l - -2072. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 229 = -n + 2*c, 2*c + 152 = 2*n. What are the prime factors of n?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5658 * 5\nAnswer: -28290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 41 + 66 + (-16 - 3).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 62*c**2.\nAnswer: 2*c**2*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + j = -20, -4*f - 3*j + 16 = 2*j. Suppose 1 + 9 = c - 4*n, f*c - 5*n - 18 = 0. Suppose -2*i + 432 = c*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4553356 and 344.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/41 - -30*30\/900?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 2*f**2 + f - 1. Let h(k) = -163*k**4 - k**3 - 2*k**2 - k + 53. Let l(d) = h(d) + i(d). Differentiate l(g) wrt g.\nAnswer: -652*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + r + 5628308 = 5628306, 0 = 2*r + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)*r**(-2\/27))\/(r*r**(1\/17)*r*r\/(r*r**(-4\/7)\/r*r)) assuming r is positive.\nAnswer: r**(-34393\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13573 (base 8) in base 3?\nAnswer: 22020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = -30. Suppose 0 = 39*q - 32*q - 1267. Let y = q - 123. Calculate the remainder when y is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Let u(q) = -2*q**3 - 6*q**2 + 10*q + 13. Let d be u(-4). Which is greater: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37192*u - 37182*u - 830 = 0. Solve -24*h = -u + 83 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 622 + -23639\/38. Find the common denominator of (1065\/220)\/(0 + (-15)\/10) and n.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -o + 2*c, -5*c + 12 = -c. Let s be 4\/(-10) + o\/(-10). What are the prime factors of (-1 - 0)\/(s\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 122732?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 177570890 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82483*a*u**2 + a*u + 4*a - 50*u - 19 wrt u?\nAnswer: -164966*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.2. Let u = 0.034 + -5.434. Let v = u - -5.6. Which is the nearest to 0.1? (a) -1 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/9 + 2*o**2\/3 + 4*o = 0. What is o?\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/156 and 103\/753688.\nAnswer: 2261064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 12:40 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4609570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 16*k. Let d(m) be the second derivative of 0*m**2 - 1\/6*m**3 - 51 - m. Determine h(d(s)).\nAnswer: 2*s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581662987?\nAnswer: 443, 811, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 4*x + x**2 + 0*x + (-1 + 1 - 2*x)*(-4 + 5 + 2)*(426*x + 77*x + 218*x) to g*x**2 + a + p*x and give g.\nAnswer: -4324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((80\/(-56))\/5)\/((-1)\/7). Suppose -c - 2709 = -4*i, -t*i - 2*i = -4*c - 2724. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2.1. Let k = 139\/76 - 11\/19. Let y = 3\/4 - k. Put -2, l, y in ascending order.\nAnswer: -2, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjnnjhhnlnn. What is prob of picking 1 m, 1 j, and 1 l?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 0*f**2 + 3*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1767*m**2 - 15920*m + 76. Calculate j(9).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3877023 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0051 (b) -2 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -156950 (base 12) to base 7\nAnswer: -3044625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.84 + 0.16. What is the third biggest value in f, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 282*t + 840. Let f be n(-3). Let d(a) be the first derivative of -a**3\/3 + 3*a**2\/2 - a - 2. Calculate d(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/10 + 35*q**4\/24 - 23*q**3\/12 - 2*q**2 + 123*q. Solve o(h) = 0 for h.\nAnswer: -1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:47 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 6. Suppose -3*n = 51 - 180. Let u be ((-480)\/18)\/10*18*1. Let h = n + u. Give t(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.679107*4\nAnswer: -2.716428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1658 and 22.\nAnswer: 18238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 785.6834kg?\nAnswer: 0.7856834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -50. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/30)\/(2\/87) and 113\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5160812?\nAnswer: 2, 1290203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 404.843 millennia in years?\nAnswer: 404843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 6*q - 2*q)*(12*q**3 + 194*q - 194*q) as j + a*q**2 + s*q + z*q**3 + h*q**4 and give h.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45728068501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436494 is divided by 33488.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/11, -4\/3, -2, -1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let y = -8608 - -8607.96. What is the nearest to i in 5, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4789\/6 - -800. Let p = -25\/12 + g. What is the biggest value in 2, -0.5, p, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {j: 5, u: 6, b: 4, m: 5}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2436755038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 783 - 413. Suppose -s = -1103 - r. Suppose 5*v - s - 1277 = 0. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n\/n**(-2\/7))**(-12\/13)\/(n**(1\/3)\/(n**6*n*n)*(n**(-2\/5))**37) assuming n is positive.\nAnswer: n**(29299\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 808\/1818*3*5\/(-2)*3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22333869 and 2074.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let h(r) = 3*r + 2. Let s(j) be the second derivative of -2*j**3\/3 - j**2 + 2*j. Suppose 0 = 2*w + 2*d, -2*d = d - 9. Calculate w*h(q) - 2*s(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 9 = 2*l - 25, 0 = 5*l - 4*k - 76. Which is smaller: 13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/1*3\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 175591267\nAnswer: 52677380.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102\/5 + 4804\/235. Let q(z) = 7 + 11 - 26 - 2*z + 11. Let s be q(2). Which is greater: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 1168*w**3 - 3476*w**2 + 2312*w.\nAnswer: -4*w*(w - 289)*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1306800 (base 10) to base 13.\nAnswer: -369a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + k**3 - 4*k**3)*(4032*k - 4029*k - k**2 - k**2).\nAnswer: 6*k**5 - 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46934?\nAnswer: 2, 31, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j**3 + 0*j + 0 + 1\/24*j**4 - 4*j**2. Let i be 8\/(-6)*3\/2. Give b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 1 - 5. Suppose 0 = 2*i + j*i - 8. Suppose -s = -3 + i. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91703.25 decades in centuries?\nAnswer: 9170.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15442*l - 138925. Determine j(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 - 0\/(((-50)\/150)\/(2\/24)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(315\/14)*(-210)\/(-616)*11?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(640)\/sqrt(8) + sqrt(5) + -3*(sqrt(5) + 3))**2.\nAnswer: -28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 1:22 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 28. Suppose 0 = -2*n - 0*b - 5*b - 8, -q = -n + 3*b. Let s = -229 - -1835\/8. What is the closest to n in -4, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 79*z**2 + 0.\nAnswer: 79*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14661*n**6 - 243*n**2 - 2*n.\nAnswer: 1759320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -45610\/5627 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 + -9)\/27)\/(20\/(-600))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -12*g**2 + g - 1. Let t(x) = 22*x**2 - x + 130. Determine 2*a(y) + t(y).\nAnswer: -2*y**2 + y + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165842879 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 274 = -1854. What is the lowest common multiple of 8 and p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:15 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*i, 5*i + x = 4*i + 3. Suppose 64 = 4*s - 52. Suppose i*u = s + 21. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3810\/74295 - 11\/468.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-351) + 50\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -586 at most -589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 34 + 18*n + (-n - 3*n + 3*n)*(-1 + 2 + 5) + 1 + 3*n - 4*n + 1 + (-1 - 4 + 3)*(2 - 2*n - 2) to s*n + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 3*q + 9 = 8*l, l + 5 = -4*q. Solve 0 = -k + 2*k + 1, 0 = l*a + 2*k - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2982928 divided by -3.\nAnswer: 2982928\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*(-25*u - 21*u + 167*u - 63*u) to the form j + k*u and give k.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(2 + sqrt(13)) + -2.\nAnswer: 6 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1034 + -1034. Sort 36, q, -5 in decreasing order.\nAnswer: 36, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -15*j + 13*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221513590 is divided by 263.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2132133 (base 4) to base 14\nAnswer: 39a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 78, 199, 380, 627, 946?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61341984*a - 74511980 wrt a?\nAnswer: 61341984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s. Let m be (-14)\/8 + (-3 - (-7 - -2)). Let b(r) be the second derivative of m*r**4 + 0 + 0*r**2 + 0*r**3 - 3*r. Calculate b(d(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 733291659 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 8. Find the third derivative of -5*k**4 + 9*k**2 - k**4 + 0*k**2 - 9*k**a wrt k.\nAnswer: -360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 2*h**2 + 11*h**2)*(4*h + h**2 - 4*h) + 8*h**3 - 8*h**3 - 4*h**4 + 508 + 39*h**4 - 508.\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/728)\/((-5)\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 less than 0?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 146087.8 to the nearest 100.\nAnswer: 146100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13818416 and 7?\nAnswer: 96728912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.80301091 - -0.803. Round k to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.029 + -4.229. Let y = m + 3.2. Let r = -0.05 + 2.05. Put y, 1, r in decreasing order.\nAnswer: r, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2314033203 (base 5) to base 16\nAnswer: -4faabd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10332 - 20?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 55*j**3 + j**2 - 4*j + 1. Calculate t(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 22 - (1 - 0). Suppose 4*w + 56 = 2*i, -2*i - 307*w = -308*w - 38. Which is greater: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 0.3. Let h = 6 + -16\/3. What is the second smallest value in q, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4379 + -4369.686. Let r = x - 9.4. What is r rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 213144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 4781 and -180 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10761 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 5*y**2 + 5*y + 6. Let a be m(-5). What is the nearest to -4\/5 in a, 1\/5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179.045 - -179. What is y rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1355 in -1, -4, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 0*q - 12 = 4*i, -i + 516 - 519 = -5*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350 + 520. Calculate the remainder when q is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1848\/176*(-1 + -1) + 28215\/1349.\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2, -4 in descending order.\nAnswer: 2, 3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) 5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1672.6 and 0.3.\nAnswer: 1672.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*n - 160 + 112, 3*j = 5*n - 185. Solve 53*z - n*z = -95 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10131*d**2 + 2122*d - 2115*d + 10121*d**2 + 87 + 264*d**3 wrt d.\nAnswer: 1584*d - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s\/s**2)\/(s**(2\/15)*s**(-3)\/s) assuming s is positive.\nAnswer: s**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 7*i**2 - 6*i**2 in the form f*i + a*i**2 + s and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 240*q**2 + 3105*q - 5290.\nAnswer: 5*(q - 23)**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 642643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7242931 less than -7242933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 780\/35*4*7\/8. Suppose 0 = 8*g + 5*g - b. Suppose -5*f + 18 = -3*f. Calculate the highest common factor of f and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (0 - -13) - (-22 + 26). Solve 0 = -d - 2, -h - q*d + 12*d + 13 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -363, -1095, -2247, -3819, -5811, -8223?\n\"Answer: -210*t**2 - 102*t - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose -6 = -h*o - 0*o. Let s(b) = -4*b**o + 1 + 0 - 1. Let n(l) = -l**2. Give n(s(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3 - 9.3. Let p = 4.5 - 3. What is the third smallest value in w, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*l + 3*l - 65, -458*q + l - 109 = -463*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001764 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -666 divided by 222\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 304.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 451247184 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*c**2 + 48*c - 6*c**3 - 48*c - 3 = 0. What is c?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*m**2 - 9 + 2 - 7 + 272*m**2.\nAnswer: -m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116842, -116845, -116858, -116887, -116938, -117017?\nAnswer: -117130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(-3039 + 3039 + 2163*y) in the form d + f*y and give f.\nAnswer: 4326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3232 (base 8) to base 9\nAnswer: -2277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035121 to six decimal places.\nAnswer: -0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 3, e: 5, l: 1}. Give prob of sequence jl.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10398877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 17. Let t be m(-16). Suppose -6 = -3*l - 0. Solve 0*h - t = h + a, -l*a - 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -37\/9 (b) 0.2 (c) -1\/7 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -703*g. Let y(x) = -5808*x**2 + 2. Calculate u(y(m)).\nAnswer: 4083024*m**2 - 1406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 1}. What is prob of picking 1 t and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.59854 + -16.6. What is z rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 261 (b) -5 (c) 7.18 (d) -2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 + 0*r**2 + 0*r**2)*(-3*r + r + r) + (0*r**2 - 7*r**2 - r**2)*(25*r + 0 + 1 - 31*r) to w*r**3 + h + t*r**2 + z*r and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 1064*n**3 - 3410*n**4 + 3408*n**4 + 167 + n - 169 to the form p*n**2 + q*n**3 + c*n**4 + o + d*n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x**3 - x**2 + 2*x**3 - x**3 + (-3*x**2 - 5*x + 5*x)*(x - x - x).\nAnswer: -6*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 11:40 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 669 - 443 = c, -5*a + 1860 = 5*c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 + v. Let k(m) = -7*m**2 - m. Let d(c) = -6*a(c) - 5*k(c). Find the second derivative of d(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -26, -41, -72, -125?\n\"Answer: -d**3 + d**2 - d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(539)*-2)**2 - 2*sqrt(539)*2 - (-2 + (sqrt(539) - (sqrt(539) + 3))*4 + sqrt(539))) + 1 + 0.\nAnswer: -35*sqrt(11) + 2168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68766, 137561, 206370, 275199, 344054, 412941, 481866?\n\"Answer: s**3 + s**2 + 68785*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*h, -5*h + 3*h = 3*s. Let j = 7442 + -7437. Solve -j*t + h = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -529000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -110530644 divided by -15790092\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from akka?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352472913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2 + 1. Let q be g(-1). Suppose -w + 11 = -4*t - 8, -w + t = -q. Find the second derivative of -8*z**5 + 0*z + w*z + 6*z**5 wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -203? (a) 0.2 (b) -1\/4 (c) -1\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/119, -0.2, -1\/4, -2\/11, -0.5, -3\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 60 = -31*t. Is -4\/2269 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175749 is divided by 186?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22333404 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/4*4\/(-6). Let s be (-3)\/i + (-9)\/(-2). Solve 3*l = 4*v + 8, -2*v - s = -0*v - 4*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(972)*6*4)\/(sqrt(2304) + (sqrt(2304) - -5*(sqrt(2304) - sqrt(2304)*-4))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 55734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Let p = -48404\/145203 + 1\/48401. What is the biggest value in -4\/3, x, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + (-7626)\/287)*(75\/(-20) + -5).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 16*r**2 - 1187*r - 16191. Calculate v(86).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13575735*j**2 + 27151164*j**2 - 13575655*j**2.\nAnswer: -226*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3317930 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*y = -11*c - 65*y + 4890390, -c + 4*y = -444585. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2266892570 to the power of 1\/2, to the nearest integer?\nAnswer: 47612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.03742 rounded to 0 dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2*r**2 + 751*m**2*r - 96*m*r**2 - r**2 - 4619*r + 231 wrt m.\nAnswer: 2*m*r**2 + 1502*m*r - 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1140?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19\/409 + -36097\/6544. Find the common denominator of 97\/22 and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19543798 and 19543793 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -23 + 1215\/63. Suppose -4*k + d = -28, -k = -4*d - 10 - 12. Sort p, k, -0.06.\nAnswer: -0.06, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 11*w - 420 = 0. Suppose q - w = 52. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 18*f + 22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.89999994 + 1.9. What is d rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 - (-279)\/99. Suppose v + 3*v - z - s = 0, -3*v + 5*z = 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {y: 1, s: 1, j: 1, q: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w**2 - 46*w**2 - 41*w**2 - 33*w**2 + 154*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1078 and 50568.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 26*r**2 + 112*r + 29. Calculate the remainder when b(-30) is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (368\/(-966))\/((-4)\/7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6217?\nAnswer: 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -45990 (base 15) to base 2\nAnswer: -110110000101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/122733 + 15041603\/245466. Let f = -123\/2 + u. Let y = 1925.7 + -1926. Put -1\/7, y, f in descending order.\nAnswer: -1\/7, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -412 + 418. Solve 11 = n*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -107\/6, -6, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 3:59 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223\/7 - -32. Is -0.04 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/20 + b**3\/3 - 13*b**2. Let t(u) = 6*u**2 + 5. Let s(m) = 5*r(m) - 2*t(m). Let n(j) = j. What is s(n(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/6 - (-2)\/(-3). Let f = 0 + x. Suppose q = 2*c + 14, -5*q - 22 = -f*c - 64. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5233\/9)\/(-2 - (-111)\/60). Let a = i + 3879. Calculate the common denominator of -35\/12 and a.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b. Let q be l(1). Suppose -q = -3*w + 56. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59\/2 in -2, -65, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -238.879?\nAnswer: 243.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 7:04 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195 + -196. Which is the smallest value? (a) w (b) 0.5 (c) -0.1 (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 0.3, 8 in decreasing order.\nAnswer: 8, 0.3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 642 and 52799150.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660653684?\nAnswer: 2, 197, 838393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -41. Suppose -7*l + n*l - g = -55, 0 = 2*g + 10. What is the greatest common divisor of l and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 27*h + 102 = -32*h. Let k(w) = 2*w**2 - 4*w + 5. Let z(p) = -3*p**2 + 0*p + 4 + 4*p**2 - 3*p. Determine h*k(l) + 3*z(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14.4*0.5\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3120\/18 - 4\/3.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -559 - -562. Suppose -3*p + 8*p = -5. Let c = p + 18. Calculate the remainder when c is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665191?\nAnswer: 11, 151381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32345 divided by -6.\nAnswer: -32345\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f + 16. Let m be n(-1). Let u be 2\/1*1\/2. Calculate the greatest common factor of u and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757698703.\nAnswer: 47, 16121249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87628510 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:45 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 73234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 2. Let i(f) = -45*f + 11. Determine 5*b(v) - i(v).\nAnswer: 40*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -159645, -638152, -1435661, -2552172, -3987685?\n\"Answer: -159501*d**2 - 4*d - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**5\/5 - 37*n**3\/3 + 31*n**2\/2 - 152. Find the second derivative of i(g) wrt g.\nAnswer: 24*g**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.41 at least as big as 10240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/3)\/(o**32\/o)*o*o*o*o*o**16*o**(10\/7) assuming o is positive.\nAnswer: o**(-194\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6105 minus -0.681?\nAnswer: -6104.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 4, -1\/2, -2, 13, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = 9. Put -4, 6, q in decreasing order.\nAnswer: 6, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwsl when four letters picked without replacement from ililwiwswwl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*d**3*w**2 + 2*d**3 + 77832*w**3 - 81*w + 12494 wrt w.\nAnswer: 72*d**3 + 466992*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -2, 3835 in increasing order.\nAnswer: -3, -2, 5, 3835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34188 divided by -8547.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + -13 + (26 - 4) + 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 6*w - 2*w - 2)*(-4*w**2 + 10*w**2 + w**2).\nAnswer: 28*w**3 - 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -4\/7, -0.2, 3\/2, 0.5, 196?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7241 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/21, -2\/3, 247, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3 + 284394*n**2 - 6824592*n + 40945824 = 0. Calculate n.\nAnswer: 12, 142173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let o(g) = 7*g + 13. Let a(l) = 15*l + 27. Let u(p) = -6*a(p) + 13*o(p). Let c be u(0). Calculate the highest common divisor of w and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*b**2 + 0*b + 0*b)*(0 + 0 + 1) + 2*b - 10*b**2 - 2*b)*(-24 + 29 - 5 - 360*b) as k*b**3 + u*b + z*b**2 + a and give k.\nAnswer: 4320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {z: 3, q: 4, g: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:45 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i + 133. Determine x(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -4 (c) -187 (d) -0.12 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z = 4*u + 610, -2*z + 620 = -2*u. Suppose 7*j = z - 28. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2267 + -2271. Let h be (-1)\/(2\/8*4). What is the closest to h in 9, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 137*w**2 - 34*w - 70. What is the units digit of m(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 + 404. Let h be 8 + (-4 - -1)*1. Suppose 0 = -3*y + 4*r + 270, h*y - 132 = 3*r + d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 8*w**3 + 2*w - 1 - 6*w**2 - w**4 + 0*w**3 + 9*w**3 in the form g*w**2 + v*w + o*w**4 + h + x*w**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14375028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 0.00286?\nAnswer: 0.0004004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8662 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of -5*-137*6\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12 - 5.12. Let q = b + 2. Let k = 3.4 + q. What is the third smallest value in -0.5, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/3, 10, -4, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23330201 + -10?\nAnswer: -23330211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 869*v**2 - 26*v - 20. Let z(c) = 145*c**2 - 4*c - 3. What is -2*d(y) + 13*z(y)?\nAnswer: 147*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17216237 to the power of 1\/2, to the nearest integer?\nAnswer: 4149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 153699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -60. Let k = d - -65\/2. Factor 1\/4*a**2 - k - 1\/4*a.\nAnswer: (a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x)**(1\/33)*x**(3\/25)\/(x**(1\/4)*x))**(-29) assuming x is positive.\nAnswer: x**(93641\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*l = 177*l + 440 + 132 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0*j**2 - 4*j - 1\/39*j**3 + 0 - 1\/26*j**4 - 1\/65*j**5. Factor r(c).\nAnswer: -2*c*(c + 1)*(2*c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 729.93 - 13.93. Let l = -716.01 + h. Let g = 3 + -7. Which is the nearest to 0.1? (a) g (b) l (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32 times -6?\nAnswer: 25.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p - 149. Let f be q(26). Suppose -136*n - 816 = -f*n. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 3 + -1)\/(-3 + 5). Solve u = -18*g + 15*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 896 and 994.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 0.1, 1\/5, 6, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381748?\nAnswer: 2, 19, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 7. Let s be r(-10). Suppose 0 = s*b - 18 - 27. Let i(x) = -2*x**3 + x**2 - 2*x - 2. Let a be i(-1). Solve 0 = a*k - 0*k - b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 2, d: 1, a: 2, f: 1}. Give prob of picking 1 s and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96680 - 96719.691. Round t to one decimal place.\nAnswer: -39.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5246*r + 57319. Give q(11).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32101 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11592 + 904121\/78. What is the common denominator of 76\/39 and u?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9 = 5*j, 3*j + 1 = -c - 1. Let r be -2 + j + 5 - -6. Let a = r + -4. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-40)\/((-52)\/(-8) + -6). Do -3\/4 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10186 is divided by 2502.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ad61 (base 15) in base 3?\nAnswer: -11102212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186019864?\nAnswer: 2, 1091, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2298858 greater than -2298873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 1365796.\nAnswer: 6828980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1214 = 4*h, 4*s + 2*h + 404 = 3*s. Let w = s - -290. Is 5 a factor of 12\/(-42) + w\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x**3 + 25*x**3 - 55*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -247 in 0.3, -11431, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 22\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.15. Let k = -3.09 + g. What is the nearest to -2\/5 in 0, 2, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*-1*sqrt(171) + -2*sqrt(171)*-4 + -5)**2.\nAnswer: -1560*sqrt(19) + 115696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a - 117 = 0. Let b(w) = -6*w + 2. Let i be b(-6). Let r = i + a. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10989133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 1. Let s = t - 4. Solve 4*o - 14 = 3*o + 5*q, 3*q = -s*o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23\/(-7) + (-8)\/(-28). Sort 4, i, -1.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3990 and 4305.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 190\/9 or 21?\nAnswer: 190\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3278.\nAnswer: 5\/3278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 5 (c) 4 (d) 114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, r: 1, e: 2}. What is prob of picking 1 r and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 245 - 81 - 80 + 6*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + 2849\/264 + (-1)\/8. Let r = 17.3 - 18. Let l = 0.8 + r. Which is the closest to 15? (a) l (b) w (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 15*r**2 + 9*r**2 + 3*r**2 - 62*r**3 + 2 - 32*r**3 as t*r**3 + v*r**2 + y*r + h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uulululu. What is prob of sequence uu?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.554 - -0.014. Round c to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1953043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1 - (-1 + -112)) + (-1 - -8) and 462.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 447 + -444. Let h = 356617\/115 + -3101. Which is the nearest to 1\/3? (a) -5 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 12:08 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-15) - 2\/5. Let l be (-79)\/(-632) - -2*20\/192. Find c such that l*c**q + 1\/6*c**3 + 0 + 1\/6*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence git when three letters picked without replacement from {t: 3, i: 3, d: 4, g: 3}.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7814\/51 - 610\/17. Which is greater: 116 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107138491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10107.360858 rounded to the nearest one hundred?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (0 + (sqrt(9072) + -4 + sqrt(9072))*-1)*5) + -2.\nAnswer: -720*sqrt(7) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-9))\/f**(-7\/11))\/(f**(-8\/7))**(-39))**(-3\/17) assuming f is positive.\nAnswer: f**(11997\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/((8\/(-2))\/2). Let z be (1 - 1) + (24\/m - 2). Suppose 0*o - 3*o + 165 = z*p, 5*p - 475 = 5*o. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + 4 + -3 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02071 + -0.10071. Is 290 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/32 - (-8)\/32) + (-3)\/1089*-360\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*b - 122 - 178 = 86*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 1305*i - 19250 = 0.\nAnswer: -14, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 + 246*n + 14. Calculate h(-42).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-252)\/36864)\/(18\/24). Are d and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077153189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004151 to 5 decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43504 or -43505?\nAnswer: -43504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1331*u**2 + 676*u**2 - 3*u + 678*u**2 + 0*u + 3*u.\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -239\/7 (c) -3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -37755 != -37751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 7 - 8*t - 1\/4*t**4 + 8\/3*t**3 - 7\/2*t**2. What is y(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/122395 and 73\/2690.\nAnswer: 244790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 + (-135)\/450. Sort m, 2\/3, -13\/4, 1 in ascending order.\nAnswer: -13\/4, m, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217.8 - -523.5. Let l = 306 - r. Which is the second biggest value? (a) 2\/7 (b) -15 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/7))\/l)\/l)**(-7\/5)*(l\/(l*l*l**(-6)\/l*l))**(-42) assuming l is positive.\nAnswer: l**(-1041\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 + j**4 - j**4)*(2 - 8*j - 2) + (-5*j**2 + 6*j**2 + j**2)*(2*j**3 - 4*j**3 + j**3).\nAnswer: -26*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 77663*m - 310668.\nAnswer: (m - 77667)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 161\/3. Let u(z) = 2*z**2 - 13*z - 48. Let w be u(9). Which is the fourth biggest value? (a) k (b) -0.2 (c) w (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 5, -56\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92034383*t**3 - 27338161*t.\nAnswer: -552206298*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 11. Let w be p(8). Suppose -2*b - n + 11 = 0, -24 = -w*b - 5*n + 2*n. Calculate the least common multiple of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/((-462)\/563764) + -2*3\/(-42) a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 6*m - 4*m. Let k = m + 21. Let j be ((-2)\/k)\/((-1)\/26). Calculate the greatest common divisor of 39 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0 - 5 + 3)*((-2 - 17 + 33)*(1 + 0 - 3) + (9 - 7 - 5)*(-1 - 5 + 3) + 0 - 1 + 3 + (4 - 1 - 4)*(0 + 1 - 3)).\nAnswer: 30*x + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 16965526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -11. Let t(k) = -13*k - 34. Let f be t(-3). Let d = 2.783 - 2.683. Which is the nearest to 1\/8? (a) f (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638.24 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 - -132. Calculate the least common multiple of k and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 20 - 1 - 12 + 7*b**3.\nAnswer: 7*b**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 5*w**2 + 7*w + 13. Let u be c(-5). Are 3\/5 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -3707.9306.\nAnswer: -3708.1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-7))\/(14508\/(-8463))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78369344, 78369345, 78369346, 78369347?\n\"Answer: k + 78369343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 5 + 3*p + 45.\nAnswer: 3*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + v - 1. Let g(i) = 6*i**2 - 4*i + 6. Let c = 7 - 10. Let p(f) = -f - 4. Let z be p(c). What is z*g(x) - 4*n(x)?\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 28 = 5*b, -5*b = -4*m + 5*m + 29. List the prime factors of 22 - 6*(-3)\/b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 3. Let j be r(5). Let b = j + 0. Factor n + 2*n**3 + 4*n**2 - 2*n**b - 3*n - 2.\nAnswer: 2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*q + 6*q - 11*q - 9*q**3 + 6 wrt q?\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7aa00d - -4?\nAnswer: 7aa013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16140 - 16200. What is the closest to 3 in 0.2, a, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204115 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 38*l + 366. Let f be p(-8). Which is the third smallest value? (a) 1 (b) f (c) 1.1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239348 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r + 23*r + 416 = -266. Solve -11 = -r*q - 33 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33, 3, 5, 4 in descending order.\nAnswer: 5, 4, 3, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 14\/3*h**3 - 1\/21*h**7 + 16*h**2 + 0*h**5 + 0*h + 0*h**6 + 0 + 0*h**4. Differentiate b(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of ((-24)\/(-16) - 1)\/(2\/11328)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 36 = 35*u - 32*u, 0 = -5*u + 3*k + 72. Solve -3*f - 2*m + 7 = 0, -10*f = -5*f - 3*m - u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-144)*2)\/((10\/2840*-2)\/(-4))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1)*(-2)\/4. Let l be (1 - n) + (0 - 14). What is the units digit of ((-7)\/(-2))\/((-6)\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7938, 7947, 7930, 7875, 7770, 7603?\nAnswer: 7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1396 - 5*z**2 + 437 + 215 - 2290 - 2*z.\nAnswer: -5*z**2 - 2*z - 3034","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3496042096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1487521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54766565*b + 62092126 with respect to b.\nAnswer: 54766565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/4 + 7311*s**3\/2 - 87775*s**2\/4 - 25584*s + 219420 = 0. What is s?\nAnswer: -14628, -3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1. Let z(b) = -2*b + 3. Let o(f) = f**3 + 8*f**2 + 7*f - 1. Let d(u) = -u - 12. Let v be d(-5). Let j be o(v). Calculate j*y(l) - z(l).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8*d + 1190 = 0. Let y = d + 214. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776481.4 days to seconds.\nAnswer: 67087992960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 37*i**3 - 2*i**2 + 11*i - 24. Give s(2).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*u - 11031079 = 14745259. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -40, -2, -72 in increasing order.\nAnswer: -72, -40, -2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 248474.9635 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 16*a + 33. Let c(j) be the first derivative of 2 + 4*j**2 - 1\/4*j**4 - 5\/3*j**a + 4*j. Determine c(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + z**2 - z + 72. Let s be v(0). Suppose 4*x - s = -0*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 10)\/(9 + (-1921)\/204) - 17\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 3868?\nAnswer: -3868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 3\/7 (b) 1.8 (c) -2\/11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -10. Let z(m) = -m - 1. Let j be z(0). Let i be 4\/6 + j\/(-3). Put p, -5, i in decreasing order.\nAnswer: p, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -31 (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2584442*r**3 - 2584444*r**3 - 4 - 97*r**4 + 0*r + 2*r + 3*r**2 as w + p*r**2 + k*r**3 + m*r**4 + g*r and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.1. Let m = d + -0.4. Let f = -5471 - -5470. What is the closest to 1 in m, f, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 + -2 - (-14)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i**3 + 2*i + 3*i - 3*i - 2*i**3 + (-5*i**3 + 0*i**3 - 6*i**3)*(4 - 3 + 1) + 2*i**3 - i**3 + i**3 - i**3 + 2*i**3 + i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1208020\/(-264))\/95 - -48)\/(2\/68 + 0).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (944\/(-295))\/(-16)*((-1)\/(-1))\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1092*p + 510 + 23514 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1622, 0, -62 in decreasing order.\nAnswer: 0, -62, -1622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + 0.14. Let g = 9272\/7 - 1324. Is r equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192529*h**2 + 4*h**3 + 11129 - 11129 + 192529*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 398478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -2. What is the second smallest value in r, -0.4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46929 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*s + 382*s + 119243 = 90331 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j. Let w(d) = d. Let z(r) = 7*r. Let p(l) = 2*w(l) - z(l). Let b(x) = 6*n(x) + 5*p(x). Let g(s) = s. Determine b(g(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 235327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -30*s + 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -46?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14*v - 264 = 0. Calculate the highest common divisor of v and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 5, -2, -437, 1 in ascending order.\nAnswer: -437, -2, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*j - 196, -4*j = 4*r - 231 - 25. Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1182.0000003995 + -1182. What is j rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - 353\/(-13) - (-68)\/(-273)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13334 is divided by 342.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in -2\/3, -95\/6, -0.2, 6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2079\/(-429) - 2\/13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136054 + -198466.2?\nAnswer: -334520.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 26389.7.\nAnswer: -738911.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -162280 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {b: 2, e: 1, n: 1, i: 1, q: 1, s: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5961 divided by 1?\nAnswer: -5961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310303 (base 6) in base 12?\nAnswer: 58393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6005*y - 4 + 1 + 6289*y - 12310*y + 3.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, -198, 0, -2 in decreasing order.\nAnswer: 269, 0, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 - 18 = 0. Calculate n.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 4 (c) -0.03 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 3 (c) -14\/11 (d) -36\/5 (e) -1 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 308880 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: Convert 3613.551 decades to months.\nAnswer: 433626.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.024.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 times -57?\nAnswer: -4218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 9*d - 9. Let o be m(7). Let y = 2.182 - 0.182. Which is the smallest value? (a) y (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 842, 1677, 2504, 3323, 4134, 4937, 5732?\nAnswer: 6519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 + 41*j + 150. Let v be q(11). Let p be 1*((-2)\/1 + 7). Suppose 4*b = p*b. Sort b, 7, v in decreasing order.\nAnswer: 7, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001036 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 64 + 62 = 0. Suppose -10 = -2*l, -3*n + 121 = 2*l + g. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 1, w: 4, t: 1, p: 1}. What is prob of picking 1 n and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 1. Let u(m) = 3*m**2 - 4*m. Let o(v) = 2*q(v) + u(v). Let z be o(2). What is the highest common divisor of 110 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/3 < 15.00176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11984 = 28*k - 10192. Let t = -422 + k. What are the prime factors of t?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in 0, 2\/5, -4\/9, -0.4, 293?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 1386.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28948 - 18575. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 70 = -j, 3*w - 6*w + 3*j = -48. Suppose 0 = -w*r - 73 + 3709. What are the prime factors of r?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -736 + 920. Calculate the remainder when b is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2485748 and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2761 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10474, -10450, -10426?\nAnswer: -10402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*t + 3701 - 3983 = 2662 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1843467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.2, 0, 0.4, -2, -5\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = 4*h - 27*p + 37, 0 = 3*h - 5*p + 34 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 - 2*u**3 + 13*u**2\/2 + 4*u - 2. Factor z(b).\nAnswer: -(b - 1)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 11 = -4*v + 7, -5*x + 3*v - 32 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -648, -968, -1254, -1500, -1700, -1848?\nAnswer: -1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2601603 is divided by 2601601.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 422*r**2 - 11*r - 9. What is s(-1)?\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*l**2 + 833*l**2 + 3*l - 71*l**2.\nAnswer: 799*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22\/607, 3671 in ascending order.\nAnswer: 22\/607, 4, 3671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 15*x - 35 = 0. Suppose -855 = -l + m, -2*l + x*l - 3*m = 4275. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((2 + (-48)\/18)*-3). Find the third derivative of m + 45*i**2 - 1 + 1 - 135*i**5 - 15*i**5 wrt i.\nAnswer: -9000*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 435?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110 (base 2) in base 10?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -296, 9, 2\/51 in ascending order.\nAnswer: -296, -109, 2\/51, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401, 1526, 3303, 5684, 8621?\nAnswer: 12066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*w + 3065, -3*w + 858 + 1440 = 3*j. Let c = j + 13. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3147 + -3151. Sort -5, -31, -2, r.\nAnswer: -31, -5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 19 - 235 = -26. Solve -d = -6*t - 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -14.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/20 + 13*x**4\/12 + 5*x**3\/2 - 11*x**2\/2 + x. Determine b(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717, 2802, 6251, 11058, 17217, 24722, 33567?\nAnswer: 43746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76323, 76204, 76071, 75918, 75739, 75528?\n\"Answer: -k**3 - k**2 - 109*k + 76434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79603*z**3 + 47*z**2 - 37846368 wrt z.\nAnswer: 238809*z**2 + 94*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132402 (base 5) in base 9?\nAnswer: 7306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.44 + 0.94. What is the nearest to 2\/3 in -1, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3149 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.44? (a) 1 (b) 57.1 (c) -0.4 (d) 0 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 217*q**4\/8 + 457*q**3\/6 + 572*q**2. What is the derivative of v(s) wrt s?\nAnswer: 651","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000754850501 rounded to 7 decimal places?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11242 - 5712. Calculate the greatest common divisor of m and 700.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k**3 - 39*k**3 + 78*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150104620 or 150104616?\nAnswer: 150104620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.96. Let g = -4.04 - o. Let l = -13 + 13.2. Which is the nearest to l? (a) -3\/4 (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 64. Let i(x) = 2*x + 7. Let t(u) = 3*u + 10. Calculate o*i(p) - 5*t(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1417642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12589 rounded to the nearest 100?\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-2 + sqrt(36)\/sqrt(3)*5)\/(5*-1*sqrt(4) - (sqrt(4) - 2*sqrt(4)*-1)))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.944 and 9309.\nAnswer: 9305.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/14*4\/6. Let p be (-5)\/((-20)\/(-8)) - -27. Suppose p = 7*i - 2*i. What is the third smallest value in 0.2, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 1782.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = -5*p - 13, -4*p - 36 = -5*y. Suppose 6*n = y*n + 4. Differentiate 2*z**2 - 5*z**3 + 9 - 14 - n*z**2 wrt z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709882 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975 and 234?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*g - 4. What is the least common multiple of 12 and g\/(-14) + 240\/105?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.83 - 17.83. Which is the biggest value? (a) q (b) 6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007259861 to four decimal places.\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 718 + -718. Let g(l) be the first derivative of x*l - 4 + 0*l**2 + 10\/3*l**3 - 5\/2*l**4. What is the third derivative of g(f) wrt f?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683016695.\nAnswer: 5, 61, 293, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6522153 or 6522152?\nAnswer: 6522152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let l(f) = 111*f**2 - 4*f. Calculate -g(p) - l(p).\nAnswer: -111*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12.2 times -0.05280183\nAnswer: -0.644182326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7\/2 (b) 2\/223 (c) 10 (d) -1 (e) 0.5 (f) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*n + 4, 0*n - 2*q + 23 = 3*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -19. Suppose o = -3*y + 5*y - 5*u, u = 1. Calculate the highest common factor of y and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493659*c**3 - 1493653*c**3 + 4480962*c**3 - 1493638*c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 1:43 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + 6. Let h be (-2)\/(-5) - (-16)\/10. Suppose 3*k + 6*m - 39 = m, -52 = -4*k - 4*m. Solve -5*i + 5*a = t, -h*i - 3*a = 2 - k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let z be (-1)\/1 + h\/2. Let u be (-4)\/11*12\/16. Is z not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9. Let w = r - -3. Suppose w*q - 10 = 11. Solve 0 = -4*f + p - q, 0 = -3*f + 4*p - 5 - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 133?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.202996 rounded to two decimal places?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, -46, -14, -5 in increasing order.\nAnswer: -46, -28, -14, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 20*k**2 + 31*k - 15. Let b be n(13). Let m = b + 809. Solve t = -c - 6, 3*c + m = -2*t - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/12 + 2\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -43. Let l = b + -18. Find the third derivative of v**2 - 7*v**6 + 3*v**l + v**2 wrt v.\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s. Let v(j) = -31*j**2. Calculate c(v(t)).\nAnswer: -124*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -22*k**2 + 56*k + 179. Give j(-3).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539456 + 539456 - 135*b.\nAnswer: -135*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o = -3*o. Let d be (-2)\/2*(-3)\/123. Which is smaller: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-36 + (-32 - -64) + 22\/8)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054862197.\nAnswer: 19, 43, 317, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -191048, -382099, -573150, -764201, -955252?\n\"Answer: -191051*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(((-137970)\/(-60))\/(-73)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f = 2*q - 27*f - 7, 4*f + 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-6)*4\/(8\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6971359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5466*w**3 - w**2 - 170*w + 3.\nAnswer: 32796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -h - 5*n, -h - 1131093*n + 22 = -1131101*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, -2, -57, 4\/9.\nAnswer: -57, -2, 4\/9, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 112, 224, 336, 448, 560?\n\"Answer: 112*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = x + 21, 3*x = 2*w - w + 7. Suppose 5*q = 3*o - 156, -x*o + 113 = -2*q - 81. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35124160 a multiple of 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/10 and 2\/805?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3\/2 + 1030*z**2 - 56216*z + 208416 = 0.\nAnswer: 4, 52, 2004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 203961198*s. Let q(w) = w**2. Calculate n(q(x)).\nAnswer: 203961198*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b + 9. Let f be x(1). Let i(l) = -63*l + 2. Let r be i(-6). Suppose -5*w - r = -j - 3*j, w = f. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*44\/(-24) + 7. Let p = -0.2929 - 0.0071. What is the closest to -1\/4 in p, 1, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -34*(3 + (-5)\/2). Let u = s - -19. Calculate the greatest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 15. Suppose 2*c - 4*c - z*t = -56, -166 = -5*c - t. Suppose d = c + 84. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 - -175 - (2 + 4 + -4).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/20 and -11\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1693, 6718, 15099, 26842, 41953, 60438, 82303?\nAnswer: 107554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) - (sqrt(280) + sqrt(280) + 1*sqrt(280))) + sqrt(280))\/sqrt(8))\/sqrt(7).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -0.1\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*a = -8, -4*t - 5*a = 1 - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 14) in base 13?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = -w. Suppose -3*l = -w*b - 12, l = 3*b - 2*b + 4. Suppose b = p + 2*r - 1, r = -2*p + 4 + 4. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 + 0.04. Let n = -0.2 + m. Which is the biggest value? (a) -2 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*i - 17*i = -1685*i + 124152 for i.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -8. Suppose -3 = -3*p + c. Let j be (0 - (p - 2))\/1. Solve j = -3*s - g, 2*s + 5*g = -2 + 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0*q**4 + 0*q**5 - 13\/60*q**6 + 0*q + 0 + 19*q**2 - 1\/6*q**3. Find the first derivative of v(n) wrt n.\nAnswer: -78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(0 - -1) + 5. Suppose 3*f = -2*s + 11, -5*s = 2*f + 3*f - 20. Let n = m - s. Put 1, n, -4 in increasing order.\nAnswer: -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**7*s)\/s**(6\/13))**(-1) assuming s is positive.\nAnswer: s**(-111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*l**5 + 2*l**4 + 9*l**3 + 134*l**2 + 153*l.\nAnswer: 2880*l**2 + 48*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1) + (-1)\/1. Let f(c) = -4*c. Let x(j) = -5*j + 1. Suppose -12 = -4*d - 5*k, -3*k + 15 = 5*d - 8*k. Suppose d = 4*s - 5. Give g*f(l) + s*x(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 151*v**5 + 42236865*v**3 - 42236865*v**3 - v**2 - 4*v**4 + 5*v**5 - 4*v**5 - 2*v**5 + (0 + v**2 + 0)*(-v**3 + 2*v**3 - 3*v**3).\nAnswer: 148*v**5 - 4*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22203126 + -22190639.999. Let w = -12499 + n. Let j = 13 + w. What is j rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 4*o - 1. Let n be g(-4). Let a = n - 34. Calculate the remainder when 1\/(-2) - (-47)\/2 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -115 + 117 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/2)\/((-18)\/48). Let h(u) = u + 6. Let k be h(n). Are -0.2 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12687)\/(-18) + 7\/(-84)*-2.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*a - 360, -14*k + 19*k - 4*a = 414. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147325765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2791, -524, -0.1 in descending order.\nAnswer: 0.1, -0.1, -524, -2791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*y + 40*y + 138. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/71 + -117\/355. What is the fourth biggest value in c, -2\/9, -43, 0.2?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p - 18 = -3*k, -3*p = -2*k + 12. Let q be 1180*((-3)\/k)\/1. What is q rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/5120*(-8)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 221*n + 220.\nAnswer: (n + 1)*(n + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86.72 + -87. Let w = i - 0.02. Which is the closest to -0.06? (a) -2 (b) w (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -486, -476, -462, -444, -422, -396?\n\"Answer: 2*r**2 + 4*r - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -1 - (-118 - -119).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*z + 21, -2*z - 8 = 3*v + 3. Let s = -1 + z. Suppose 2*g - 6 = -0*g. What is the highest common factor of s and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*j + 30, -60 = -5*d + d - 5*j. Calculate the remainder when 1004 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*((-45)\/25 - -2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 4. Let g be z(-11). Let k be 2\/g*14\/24. What is the third smallest value in k, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*n + 3\/4*n**2 + 0 = 0. What is n?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -17*o**2 - 14*o + 3 = 0.\nAnswer: -1, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2899 and 2.84?\nAnswer: 2896.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/8 and 55\/43664127.\nAnswer: 349313016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*x + 579*x = -4636 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 + 136 + (-1 - -1 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(143)*1 - (sqrt(143)*-2 + sqrt(143))*3)\/((sqrt(99) - -6*sqrt(99)*-1)\/sqrt(9)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -5*f**4\/12 + 82*f**2. Suppose 0 = 3*s, 0 = -b + s - 0*s + 3. Let y(w) = w + w - 3 + b. Calculate y(a(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 0)*1 + (-358 - -380)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 - (1 + 1). Let l be i + (28\/4 - 0). Suppose -3*d = -11 - l. Let k(g) = 5*g - 5. Let r(s) = 4*s - 4. Calculate d*r(j) - 5*k(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893 a factor of 53904418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5790 is divided by (-18)\/252 + -6 + 533\/14.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 - 106. Suppose -158*b + 159*b = z. Solve b = -4*u + u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.793788 litres in millilitres?\nAnswer: 8793.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388660?\nAnswer: 2, 5, 19433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 16*c - 157. Calculate b(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 16*w + 27)*(-w**2 - 4*w - w + 4*w).\nAnswer: -16*w**3 - 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 711 and 321451?\nAnswer: 2893059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 171\/6451 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 338371277 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77863 is divided by 435.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 5. Let z be 3*(70\/(-5))\/1. Let f be 72\/z*(-5 + 68\/8). What is w(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 8. Suppose -5*w + 28 = -4*s, -4*s + c = 3*w + w. Suppose w*o + 4*y = 20, -3*o + 2*y + 14 = 4. Solve 0 = -g - o*l + 10, -5 = -4*g - 4*l - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - u**2 + 2*u - 2. Let h(p) = 5*p**3 - 20*p**2 - 13*p - 42. Let q(t) = h(t) - 2*k(t). Let y be q(19). Is y > 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5 = 5*v, -2*v = -0*s + 5*s + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 5, y: 4}. What is prob of picking 2 y and 1 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24305251 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -k - 5. Suppose -k*b + b = -22. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-8))\/5*((-481)\/65 + 5). Put 1\/4, 2\/9, -28, 2, o in decreasing order.\nAnswer: 2, o, 1\/4, 2\/9, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:23 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j = -43*j - 13. Let o(s) = 9*s + 5. Let d be o(4). Let x = d + j. Does 24 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-99)\/(-27) - 2\/3. Suppose -3*n + 129 = 4*k, -k + 2*n = -n - 51. Suppose 2*d = t*b + 107, 3*d - 193 = b - k. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1. Let z(s) = 4*s - 6. Let u(q) = 6*i(q) + z(q). Let j(x) = -4*x + 161 + 3*x - 161. Determine u(j(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4*-655.\nAnswer: -2882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2619, -5022, -7425, -9828?\n\"Answer: -2403*f - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78159, -78416, -78673?\nAnswer: -78930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, p: 2, h: 1, o: 1, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -15*u**2 + u. Let g(n) = -n. Let y(l) = l. Let i(x) = -3*g(x) - 2*y(x). Determine p(i(h)).\nAnswer: -15*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92792552 - 12647448. Round s to the nearest one million.\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 185573695 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -37. Suppose 2*l = l - 2*p + 18, 3*p = -2*l + g. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19489645*c**2 - 20102073?\nAnswer: -38979290*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -57*n - 1315. Determine x(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, g: 2, k: 2, s: 4}. Give prob of sequence kjks.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162483*y**3 - 152547*y**2 wrt y?\nAnswer: 974898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 5*o - 3*o)*(4*o + o - 4*o)*(-6099 + 2582 + 2500) in the form h*o + w*o**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 51. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347678448 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)\/z**(6\/11)*(z*z**(-1\/5))\/(z**(-4)*z)*(z**(-2\/5))**38*(z*z**(-1\/2))\/z**(-2\/9) assuming z is positive.\nAnswer: z**(-14081\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -205299.6 rounded to the nearest 1000?\nAnswer: -205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 0*z - 7*z - 3*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 2218 + 2678. Let i be (-2019)\/(-9) - 4\/(-6). Suppose 0 = 5*l + 45 - i. Calculate the highest common factor of q and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -5 - (-3 + -5 + 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 1530975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/78 - 6138\/(-1001))*14. Calculate the highest common factor of 104 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1671? (a) 5 (b) -1\/2 (c) 2639\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/20 and 63\/13222.\nAnswer: 132220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/476330 and 105\/1748?\nAnswer: 952660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i - 12. Let w be 1 + 1*(-2 + 1). Suppose -5*m + 2*j = -412, j - 4*j + 12 = w. What is the highest common factor of i and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + 28*k**2 + 10. Let y be z(14). Let f(w) = 8*w**3 - 21*w**2 - 12*w - 1. Is f(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 25*p**8\/336 - p**7\/210 + 35*p**4\/24 - p**3\/3 - 355*p**2. What is the second derivative of u(t) wrt t?\nAnswer: 500*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -18. Let m = -14012.4 - -14012. Which is the nearest to 0.1? (a) f (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 45. What are the prime factors of -17*(2\/1 - -2 - v)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -42320323?\nAnswer: 42320313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1668308 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 297158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2081016, -2081039, -2081064, -2081091, -2081120?\nAnswer: -2081151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 1:54 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.14 + -79.36. Let s = -82.26928 - v. Let d = s + -0.23. Round d to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.2 and -0.11.\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - 3 - -3)\/(-2). Suppose -g - 2*m - 4 = g, j*g - 17 = m. Sort -1, g, 2.\nAnswer: -1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29466 and 1854?\nAnswer: 3034998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 - t**2 + t + 2. Let k be a(-1). Suppose 0 = 3*i + 5*w - 204, 3*w - 60 = -i + 4*w. Suppose -243 + i = -k*m. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3 + f + 2 - 2*f - 3. Let c be j(1). Let x(p) = p**3 + 3*p**2 - 3*p - 1. Let b be x(-4). Sort c, b, -1 in increasing order.\nAnswer: b, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13 - 2*q**2 - 10 + 3*q**2. Let i be a(0). What is l in 2*l + i*l**2 + 3*l - 2*l + l**3 + 1 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -25*d - 65. Calculate c(-10).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.99959 to two dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 - 0.1. Let g = 1.7 + 0.3. Let p = -6637 + 6630. What is the smallest value in g, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(304) - ((-1*sqrt(304) - sqrt(304))*3 - sqrt(304)))**2*1 + (4 + (sqrt(304) + 0 - sqrt(304)) + -1)**2)*6*1.\nAnswer: -700740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -166 and -5?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 11, -0.1, -3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1195\/9 - -133. Let o = 13.3 + -13.2. What is the nearest to -8 in y, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + (-15398916)\/(-13) - (-12)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w - 176 - 112. Let l be (-6)\/(((8\/w)\/(-1))\/(-1)). Solve -5*u - l = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**2 + 437435*r - 53292650 = 0.\nAnswer: 122, 87365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 + 2*f**2 + f**2 + (-832*f + 543 - 544 - 888*f)*(4 + 3 - 3*f - 5).\nAnswer: 5158*f**2 - 3437*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 288060 = 3*l. Suppose 2*j - l = -4*s, s - 2*j + 36007 = 6*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 5*j - g, -3*j + 13*g = 11*g - 148. Let p = -5 + 7. Determine c, given that 12 - 6*c**4 + 46*c**3 - j*c + 6*c**p - 28*c**2 + 14*c**4 + 2*c**2 = 0.\nAnswer: -6, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14883363 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 35 = 9*x + y, x = -3*y + 7. What is the remainder when 49 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from yoclylg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**6 + 6*t**5 - 7820*t**4 + 14997*t**2 - 5*t - 1.\nAnswer: 360*t**3 + 360*t**2 - 187680*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*l + 0*l + 4 = 0, 2*l = -2*h + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16429 + -5351. Does 68 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 64 = -2*k. Suppose 0*p - p + 3*h + 577 = 0, 2*p - 2*h - 1138 = 0. Suppose -3*z + 339 = 5*n, 5*z + 9*n - p = k*n. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 1542 = 48. Suppose -3*t + n = 2*t. Let x = t + -51. Calculate the lowest common multiple of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5 = 0, -m - 17498 = -29*w - 17325 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218256.52 + -5446. Let m = -223682.5199955 - v. Let g = m - 20. What is g rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/640 and -17\/562?\nAnswer: 179840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -4*v - 5, -4*v - 3*f = -20. Suppose 0*w + w - 37 = -y, -v*w = -3*y + 96. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150663 or -150665?\nAnswer: -150665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z - 2*z)*(-1 - 3 + 2)*(13*z**2 - 5*z**2 + 4*z**2 + (-z + 0*z + 2*z)*(3 - 2*z - 3) + 5*z**2 + 10*z - 10*z).\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165537?\nAnswer: 3, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*x = -0*o - 22, 3*o - 2*x - 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0 = -10. Suppose 2*s = -4*d + 66, 0*d - k*s = -3*d + 67. Is d less than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 1\/60*j**5 + 0*j**4 + 0*j**3 + 0 + 0*j - 57*j**2. Let s(l) = 23*l. What is s(k(r))?\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -7, 1, -3 in descending order.\nAnswer: 3, 1, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*i = -259*i - 924. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7215 + -317379\/44. What is the common denominator of 101\/20 and m?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*g + 1194, -1196 = 5*g + p + p. Let l be (g\/(-45))\/((-4)\/(-6)). Let n be l\/36 + (-21)\/(-27). What is the closest to 0 in n, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 3*i**2. Suppose 5*p - 2*l + 16 = p, -2*p = -3*l + 12. Let m be a(p). Is m at least as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28679)\/(-30366)*(-24)\/(-34).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**2 - 1227*o**3 - 8*o**2 + 3 - 2*o - 160*o**3. Let m be y(1). Does 23 divide 2\/(-5) + m\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/7 - 2970*j**4\/7 + 2937324*j**3\/7 - 964403542*j**2\/7 - 2919726813*j\/7.\nAnswer: j*(j - 991)**3*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -1 + sqrt(117) - (1 + sqrt(13) + 2)) + 0)**2.\nAnswer: -40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + j**2 - 4*j**2 - 23*j**2 + 5*j**2.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (11\/((-462)\/490))\/(1\/(-93))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1042431.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2 - 47 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*b**4 + 161*b**3 - 13083*b**2?\nAnswer: 432*b + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43882 + 49462 = 18*u. What is the highest common divisor of 260 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -7 - (13 + (6 - 2) - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-16)*-4)\/((-8)\/(-48)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 702 divided by -8\nAnswer: -351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 20577.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d + 78*d - 10*d + (-2 - 2 + 2)*(-15 - 2*d + 15).\nAnswer: 65*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 2527018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*v**4 - 4*v**3 - 27 wrt v.\nAnswer: 36*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -69710, -140050, -210390?\n\"Answer: -70340*t + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4706653143?\nAnswer: 3, 211, 7435471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t**2 + 119*t + 631. Determine s(-5).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 - -6) + -6)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5100 by 15.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 - 107 + 223 + 29*l.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5397944, 10795879, 16193806, 21591725?\nAnswer: 26989636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -45, -89, -171, -303, -497, -765?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjjr when four letters picked without replacement from jrrrjjjc.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/11)\/n*n)**8*n\/(n*(n\/(n*(n\/(n*n**19*n))\/n))\/n)*n\/(n**(-1\/5)*n) assuming n is positive.\nAnswer: n**(-969\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2 + 79. Let z = k + 28. Let y = 2 + -4. Put z, 3, y, 4 in increasing order.\nAnswer: y, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 5) + 10 + -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76054 + -247454. Round t to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11603769017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1176 and 11688.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.191515l?\nAnswer: 4191.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 2. Let w = j + 0.3. Let b = -1 + w. What is the second biggest value in 2\/3, 4\/3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.0939, 5, 0.3.\nAnswer: 0.3, 5, 17.0939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322281.\nAnswer: 3, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27365\/24 - 1143. Calculate the common denominator of 10\/21 and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -20\/3, -3\/124, -3 in descending order.\nAnswer: 0.5, -3\/124, -3, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r + 17. Let p be g(0). Let k = p + -14. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013367046 to 7 dps.\nAnswer: 0.0013367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 2*f**2 + f + 2. What is b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1620) + 0).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 3*l)*(-307*l**2 - 133*l**3 + 307*l**2) + 2*l**4 - 2*l**4 + 2*l**4.\nAnswer: -131*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 5. Suppose -2*q - 5*i + 4 = 0, 4*i = 5*q - 2 - 8. Let c(f) = -6 - q - 6 + 13. Calculate -6*c(k) + y(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25 and 2835069909.5624.\nAnswer: 2835069884.5624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 4, -1\/102, -102?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 713355 = 713355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125403 is divided by 62660.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + d = 62, -r + 38 = r - 4*d. Solve -r = p - 3*h, 2*h + 0*h = 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27110 divided by 3?\nAnswer: 27110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d + 6*d - 2*d**2 + 3*d**4 + 2 + 4*d**2 + 11*d to the form j*d**3 + n*d + a*d**2 + v*d**4 + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32 - -2)*(-14)\/(-35). Let s = 33 - 48. Let x = v - s. Solve x = 3*d - 6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 + 1. Let z(k) = 5*k**3 - 25*k**2 - 107*k - 4. What is -5*g(f) - z(f)?\nAnswer: -5*f**3 + 107*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 10*f - 25. Let c be u(-10). Is -25 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 87 + (-1 - -1)\/(14 - 5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157321*c**6 - 3*c**2 + 187*c - 54.\nAnswer: -18878520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 15*l + 215. Give w(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 15) to base 10.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/25*(-35)\/(3675\/(-140)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14208123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*(-4)\/6)\/((-3)\/(-9)). Let m be (1 + -1)*(20\/y + 2). Solve m*q + 2*q = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from ymujuyummmmyjjem.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -16*r - 20. Suppose 333 = -257*f - 181. Let a(m) = -3*m - 4. Give f*z(p) + 11*a(p).\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9*n - 3880 = 0. Suppose c = -4*r - 0*r + 1315, -3*r - 4*c = -n. Suppose u = m + 132, 5*u - 333 = 2*m + r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/88 + ((-14)\/77)\/1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 8*h**2 + 20*h + 7. Let l(p) = 3*p + 73. Let m be l(-22). Let s be n(m). Let g = s - -557. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 98*m**2 + 96*m + 82. What is y(97)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4164 - -4159. Which is the smallest value? (a) 26\/15 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1558043742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 294445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4916.886 litres?\nAnswer: 4916886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45527 take away 1?\nAnswer: 45526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15497329 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -4\/3, 0.0423, 1\/6, 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccyccyycccccccyc. What is prob of picking 2 y?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1755 = -5*b - 10875. Let j = b + 7331\/4. Let d be 113\/565 - 39\/(-5). Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 89ba + 1?\nAnswer: 89bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Let c = z - 3. Suppose 2*h = -5*u + u + 58, -c*u + 2*h = -14. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 102. Let y = o - -53. Calculate the least common multiple of 14 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 a factor of 1450626165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 229127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44215 is divided by 2191.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6603.\nAnswer: 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqqq when four letters picked without replacement from {q: 4, n: 1, s: 4, v: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 525170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:01 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 38 = -5*n + y, 5*y + 20 = 0. Suppose -5*t = -51 - 29. What is the lowest common multiple of t and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 11 = -3*x - 13*i, x + 3*i - 15 = 0. Let t(r) = 3*r**2 - 4*r - 13. Let v be t(x). Solve 0 = 4*d - s - 7, v*d - 4*s + 2*s = 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 3*d**3 - d**3 + 2*d**3 - d**3 + d**3 + (d**2 - 2*d**2 - d**2)*(0*d - 2*d + 0*d) - 28*d**3 + 14879 - 14879 - 2*d**2.\nAnswer: -23*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 2. Let c(r) = 9*r + 3. Let j be ((-40)\/(-4))\/(2\/1). Suppose j*n = n - 4*f + 36, 5*f = -2*n + 30. What is n*y(b) + 3*c(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 + -90. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*s + 26*s**2 - 50*s**2 + 25*s**2 in the form o*s + z + g*s**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-21))\/(104\/546)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.73 and 26656.69.\nAnswer: 26650.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24864, 49926, 74978, 100014, 125028, 150014?\nAnswer: 174966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 3:42 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - (-395 + 5 - (-6 + 0)) is divided by 187?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 373800?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -66322580 to the nearest 100000.\nAnswer: -66300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1570*y - 377. Is g(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5698.312kg?\nAnswer: 5698312000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**5\/7 - 400*v**4\/7 + 720*v**3 + 17480*v**2\/7 + 18260*v\/7 + 888 = 0.\nAnswer: -111, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34582*12164.\nAnswer: 420655448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.667552ms in nanoseconds?\nAnswer: 1667552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 + 6*y + 4. Let v(p) = 26*p**2 + 19*p + 11. Let d(s) = 4*v(s) - 11*z(s). Solve d(j) = 0 for j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 29*s**3 - 4187*s**2 + 20*s + 5. Let n(h) = 35*h**3 - 4188*h**2 + 24*h + 6. What is 6*d(z) - 5*n(z)?\nAnswer: -z**3 - 4182*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 3*h**2 - 2*h. Suppose 2*l - 3 = -w + 1, w - 5*l + 3 = 0. Let p = w - 2. Let f be p*3\/9 + 2. What is b(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 6) in base 5?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*g - 1171739 = 1685731 + 1520370. What are the prime factors of g?\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -165798, -166599, -167400, -168201, -169002, -169803?\n\"Answer: -801*g - 164997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 9*x**2 - x - 2. Let c be w(-9). Let k(a) = a**2 - 5 + c - 2. Let j(n) = -4*n**2. Determine k(j(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j, -z + 3*j + 9344 = -5929. Suppose 4*g = g + z. Suppose 0 = 3*a - 2*q + g + 3017, -3*q - 8088 = 3*a. Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -46acac5?\nAnswer: -46acac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 839 by 3.\nAnswer: 839\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 7. Let w(b) = 9. Let t(d) = -4*o(d) - 3*w(d). Suppose -5*r + 17 = -4*z + 6, 2*z = -5*r + 17. Determine t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48 - 47)*(9 + 1). Solve 4*o + 18 = r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c. Let l = 7 - 3. Let t = l + -2. Let s(a) = -t*a - 2*a + 6*a. Determine b(s(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*n = 0. Suppose 2*u - 6 = -n*u. Solve 2*y = u*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/168 and 77\/18.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 4871 - 4675 = 0 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2131 + 2069. Suppose 0 = -3*j + 2*i - 303 + 1, -5*j - 3*i - 535 = 0. Let g = a - j. What is the highest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 + g**2 - g - 2. Let i be b(-1). Suppose i*w - 122 = 2*w. Let f = w + -44. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26a5 (base 12) to base 16\nAnswer: 115d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -11 + (1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2 + 41*j\/2 - 10 = 0.\nAnswer: 1\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2416 and 2265.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3 + 135*d**2 + 4623*d + 4489 = 0?\nAnswer: -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1864038 divided by -2?\nAnswer: 932019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/38 and -59\/2374.\nAnswer: 45106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10*b**2 - 6*b + 6. What is the tens digit of t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643768536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21)\/h)\/h*h*h**(3\/16)*(h*h**(-2)*h)**(9\/8) assuming h is positive.\nAnswer: h**(-349\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 130137377, 520549511, 1171236401, 2082198047, 3253434449, 4684945607?\n\"Answer: 130137378*d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -6 (c) 0.5 (d) 2\/3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*20\/(-12) + -3. Let s be (4\/(-6) - 0)*-3. Let w be ((240\/(-25))\/12)\/((-2)\/5). Solve 4*z = w*v + 12, r*z + s*v - 7 - 11 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11343442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**3 + 0*l + 26*l**3 + 0*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a + 49?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -1\/60*k**6 + 0*k**3 + 0*k - 53\/30*k**5 + 0 - 2\/105*k**7 + 0*k**4 - 105*k**2. What is the third derivative of a(o) wrt o?\nAnswer: -96*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -37. What is the highest common divisor of 28 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12067 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/4 (b) 5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(500) + (sqrt(500)*-4 - sqrt(500)))\/((sqrt(40)*2)\/sqrt(10) - sqrt(4)).\nAnswer: -20*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*g = -g - 12, -5*a = 4*g + 15. Let j = -1 - a. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (-66)\/(-18). Suppose 6*b - 18 = b - 2*y, r*y = -3. What is the third derivative of -2*c**2 - c**b - 2*c**2 + c**2 + 2*c**4 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*1)\/(-10 - (-1971)\/198). Solve 5*v - m = -i - 2*i, -7 = -2*v - 3*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w - 1113 + 71*w**3 + 2228 + 2*w**2 - 1113 in the form y*w**3 + r + j*w**2 + n*w and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a factor of 1184433406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 426\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212*k**3*n**2 - 47*k**3*n - k*n**3 - 3*k*n wrt n.\nAnswer: 424*k**3 - 6*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i**3 + i - 3*i**2 - 440 + 438 - 2*i**4 + i**4 to the form h + u*i**4 + m*i + z*i**2 + c*i**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + p - 168960 = -58*p. List the prime factors of p.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/4? (a) 217 (b) 3\/7 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6) + (-7)\/6. Let h(g) = -3*g + 20. Let w be h(5). Sort w, r, -2 in ascending order.\nAnswer: -2, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -5 (c) 0.846 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-594)\/(-9))\/2 + -7. Suppose -20*u = -n*u. What is g in 0*g + 2\/9*g**4 + 0 + 2\/9*g**3 + u*g**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61.99 and -0.1.\nAnswer: -6.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - (-1658)\/8. Let b = n - 191. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:10 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 8*v = 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -13 - (-3 - -1 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l + 10. Let a(b) = -5*b - 11. Let x(w) = 3*a(w) + 4*t(w). Let d be x(-4). Suppose 1118 = d*j + i + 4*i, 1110 = 3*j - 3*i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -317 - -321. Suppose -2*k + 423 - 73 = b, c*k + 362 = b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/5)\/(23\/46). Which is the closest to h? (a) 1\/2 (b) 0.02 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/798 and -99\/38?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -31*c**3\/3 + 8*c - 31. Differentiate x(z) wrt z.\nAnswer: -62*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -58*c - 387. Let n be r(-8). Let m(q) = 9*q**3 + 2*q**2 - 2*q - 2. Let t(l) = 341*l**3 + 77*l**2 - 77*l - 77. Calculate n*m(h) - 2*t(h).\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -644\/27 - -7652\/351. Let k = -21\/13 + i. Let n = 4 + k. What is the closest to n in -0.2, -1\/4, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y = -35. Let r = y - -13. Let a be (r\/(-28))\/((-19)\/38). What is the third smallest value in 4, a, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 10, 3, 40.\nAnswer: -1, 2, 3, 10, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 35*m + 9. Let k be q(6). Suppose -5*x + k*w + 416 = -2214, -5*x + 2630 = -w. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3978 and 1136586?\nAnswer: 44326854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4 + 100*b**3\/3 - 202*b**2 + 528*b - 504 = 0. Calculate b.\nAnswer: 3, 14\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 - -88. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113378405 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 - 12 - 34*x + 33*x as l + r*x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 172 = -30. Suppose 347 = 3*w + r. What is the remainder when w is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -16. Suppose 6 = -x*n + 6*n. What is the second biggest value in n, 1\/8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 5, o: 5, i: 1}. What is prob of picking 1 v and 3 p?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i - 31. Let t be u(-12). Solve 3*x = -4*h - 2 + 13, h = 4*x + t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30787839.\nAnswer: 3, 3420871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 - 94 = 8*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 7*u**2 + 9*u - 6. Let y be v(8). Suppose y*f - 378 = -j + 5*j, j - 4 = 0. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, 1, 5, -0.04 in decreasing order.\nAnswer: 5, 1, 0.2, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53981205, 53981204, 53981203, 53981202?\n\"Answer: -a + 53981206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, a: 4, k: 1, b: 1, g: 1}. What is prob of sequence kigi?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 497 and 9597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i**2 - 2*i + 1 + 7*i + 10*i**2 + 3*i**2 - 23*i. Determine c(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2426 = 216*h - 382 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13130 divided by 3?\nAnswer: -13130\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/(-32))\/(9\/36)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -2*a + 25, -10 + 5 = 5*a - z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/31)*p**13)**(-10))**(-2\/37) assuming p is positive.\nAnswer: p**(8100\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 908 + -908.1468. Let p = -0.15 - q. What is p rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5 - 2*g**4 + 11903*g**3 + 132711*g**2 wrt g?\nAnswer: 60*g**2 - 48*g + 71418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -0.093.\nAnswer: 1.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25943573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 19008 = -27*f + 8*f. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + 2*q. Let x(k) = 5*k**2 + 5*k. Let y(p) = 7*m(p) - 4*x(p). Let t be y(7). Solve -2*s + 10 = 2*f, -f - 2*s + 2 = -t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 2*a**2 - 5*a. Let k(r) = 4*r**3 - 11*r**2 - 47*r - 28. Let t(p) = 3*d(p) + 3*k(p). Factor t(n).\nAnswer: 3*(n - 7)*(n + 2)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 5) to base 8\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s = 15. Let b(w) = -9*w + 1. Let j be b(s). Is j\/(-8)*-1*-2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -16. Let u = -4 - c. Suppose -33 = -u*x + 3. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 472575?\nAnswer: 472572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j + 3*j. Let b = j + 17. Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-15)\/27)\/(105\/(-126)))\/((-2)\/(-3)). Which is the nearest to h? (a) -3\/31 (b) 2\/29 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 4*x + 4. Let y(w) be the first derivative of -1\/4*w**4 + 5\/2*w**2 + 3 + 2\/3*w**3 - 3*w. Let p be y(3). What is t(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*(sqrt(343) + (sqrt(343) - (sqrt(343) + 2 + sqrt(343) + sqrt(343)))))**2 + 3) + (1 + (0 + -5*(sqrt(7) + -2))**2)*-3.\nAnswer: -1528 + 244*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m + 15 = 5*x, 2*m + 4*x = 12. Let z be (10\/(-4))\/(3\/(-6)). Let m*j**2 + 0*j**4 - 1\/2*j**3 + 0 + 0*j + 1\/2*j**z = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 5*q + 10*q)*(3*q**2 - 3*q**2 + q**3 + (0*q + q + 4*q)*(-1 + q**2 + 1)) to the form s*q**3 + h*q**4 + f*q + v*q**2 + d and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00159957 rounded to 6 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 1. Let p(n) = 7*n**2 - 6*n + 11. Let j(k) = 5*i(k) + p(k). Let x(m) = m**2 + m - 1. Calculate -j(d) - 4*x(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6623046*s + 3. Give w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362742340 to the nearest integer?\nAnswer: 19046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 18208 + 79500 = 0. Calculate the remainder when a is divided by 171.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, 5, 8039 in decreasing order.\nAnswer: 8039, 31, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c - 4. Suppose 0 = q - 16 - 24. Calculate the smallest common multiple of q and k(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 9. Let q = -6 + -14. Let h be x\/(-4)*q\/15. Let a(j) = 2*j + 2. Give a(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1929 - 1921. Which is the closest to -2? (a) -0.3 (b) -1\/6 (c) -4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -1. Let v(z) = -1 - 5*z + 5*z + z**2. Let n be v(y). Solve -3*x - 15 = -n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27613?\nAnswer: 53, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iylidkb. What is prob of picking 1 b and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/(-12) + (-4)\/16. Suppose 16 = 2*c - 4*m, 0 = -h*c - 4*m - 7 - 1. Solve -p + 3 + 1 = -3*j, c*p = -j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**5\/5 - 29*y**3\/6 + 2*y**2 - 19. Let o(g) be the second derivative of v(g). Find the first derivative of o(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**11\/s)\/(s*s\/(s**(-1\/3)\/s)))**(-42) assuming s is positive.\nAnswer: s**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215 + 211 + 210 - 637 + 57*u.\nAnswer: 57*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsx when three letters picked without replacement from {x: 6, s: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.17 (b) 2\/435 (c) 98 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011 - 220000?\nAnswer: -1002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*j + 12764, -j - 9*n + 2548 = -14*n. What is the remainder when j is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-2 - -1 - 3). Solve -3*b = b - 4*d + 4, d + 3 = y*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324012432 (base 5) to base 13.\nAnswer: -399556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41755 divided by 1\nAnswer: 41755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 17 = -5*f, 41 = -5*j - 3*f + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c - 3\/20*c**4 - 22\/15*c**3 - c**2 + 121 + 1\/150*c**5. Factor r(z).\nAnswer: 2*(z - 11)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f + 9. Let i be 0\/(((-18)\/f)\/(-3)). Let m = 94 + -97. Sort m, i, 0.1 in increasing order.\nAnswer: m, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, q: 2}. Give prob of picking 3 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 17*m - 42, 2*m = 3*m - 4*m - q + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -417, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9998.\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83925480 rounded to the nearest 10000?\nAnswer: 83930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 11. Calculate the remainder when -4*(-9)\/(-12)*-13 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 3*n**2 + 19*n + 3. Let c be u(-6). Calculate the common denominator of (-692)\/240 - 5\/c and -127\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (9 - (-8 + 90) - 1) - 11?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355023.1 centuries in years?\nAnswer: 35502310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + -1 + sqrt(20))**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhb. Give prob of picking 1 h and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 208.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28343760 is divided by 601.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.47476 months in years?\nAnswer: 18.20623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82312876 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o**2\/3 - 128*o\/3 - 26\/3.\nAnswer: 2*(o - 13)*(5*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6379)\/(-5) - 6\/(-60)*-8. Suppose 13*d = x + 2456. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6)*84\/(-8). Let s = 20 - r. Solve 0 - 4 = 4*c + 4*x, 2*c = x + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/145893 and -25\/225471.\nAnswer: 2480181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**3 - 5*c**2 + c - 2. Let s be l(-4). Suppose 25 = 5*w, s - 47 = 5*a + 3*w. Let m = 48 - a. Put 2, 4, m, -3 in decreasing order.\nAnswer: 4, 2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7438 + 7437. Which is the closest to 3? (a) -0.2 (b) q (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*(-135)\/81.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 17*g**2 - 21*g - 26. What is y(-18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -57.9. Let z = m + -1.1. Let j = -17\/9 + 169\/99. What is the biggest value in z, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(144\/40)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 5*p**2 + 9*p - 8. Suppose 162 = 202*f - 241*f + 2346. Calculate the remainder when f is divided by u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -3*m**2 + 7*m - m**3 - 1\/8*m**4 + 0. Factor d(i).\nAnswer: -3*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1058 divided by 15.\nAnswer: -1058\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*z + 1008 - 1008 + (-1 - 1 + 0)*(-1 - 2*z + 1).\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -35, 3, -4, -1, -18 in ascending order.\nAnswer: -35, -18, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 88 - 7 = 0. Which is bigger: -93 or k?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.012 years in millennia?\nAnswer: 0.047012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*i = 88, -2*j + 3*i + 198 = 2*j. What are the prime factors of 608\/j*(6 - -1 - 1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 202238 and -23.\nAnswer: 202215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 133\/14 + (-6)\/(-4). Suppose 3*s - 34 = 4*q, q + c - 2 = s. Let i = q - -8. Solve -2*o - 5 = i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13620323 is divided by 1529.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let x(v) = -v**3 + 6*v**2 + v - 5. Let y(r) = 2*b(r) + x(r). Let u be y(6). Calculate the common denominator of -46\/3 and (-2)\/u*(-129)\/(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13698207?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.4. Let o = -5.4 - -4. Let s = d + o. Sort -0.1, s, 0.4.\nAnswer: s, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-40 + (-8 - (-8 - -17)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.4 + 25.34. Let i = -0.06 - q. Let f = i + 10. What is the nearest to f in -1, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - 7*i - 4. Let w be x(-5). Suppose 102 - 2 = 5*f. Calculate the least common multiple of 34\/w + (-1)\/(-3) and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19*h**3 - 3*h**2 + 2*h - 5. What is the hundreds digit of p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131217 to the power of 1\/2, to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65\/19 - 2573\/741. Let k = 83829 + -83824. Which is the closest to 3? (a) k (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -342*h - 33. Is z(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 218*q + 39. Let k(d) = -437*d - 106. Determine -2*k(h) - 5*o(h).\nAnswer: -216*h + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 2. Let w be v*(60\/16)\/(-5). Let i = -68 + 76. Calculate the greatest common factor of w and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 91*p**2 + 175*p + 523. What is the remainder when r(-89) is divided by 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -22. Let i = -14 + 10. Is i at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 0.3 (b) 137 (c) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r + y - 25, -2*r + 3*y = 7. Let b(w) = 13*w - 30. Let c(g) = 7*g - 15. Let u(s) = -6*b(s) + 11*c(s). Let k be u(0). Solve -x - k = -r*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 w when three letters picked without replacement from {z: 1, w: 1, x: 4, d: 1, l: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 11) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 9*t**4\/16 + 14*t**3\/3 + 21*t**2\/2 + 4*t - 98. Solve j(i) = 0 for i.\nAnswer: -4, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 0.7 (c) -10 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*y - 32 = 0, -5*j - 4*y - 21 = 55. Which is the fourth smallest value? (a) j (b) -4\/15 (c) -2\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-80)*-10*1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**4 - 187030*z**3 - 2054774345*z**2 - 5718690999900*z - 4674559781344500 = 0.\nAnswer: -16893, -1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (57\/63 + -1)*-3. What is the smallest value in 1.4, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -735845058 - -21\nAnswer: -735845037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 1}. Give prob of sequence pbp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 + 14831*n\/2 + 29670.\nAnswer: -(n - 14835)*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*h + 334 = 70*h. Let a = h + 166. Let q(w) be the second derivative of 5*w**3\/2 - 2*w. Calculate q(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 + -5 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/40564797 and 143\/36.\nAnswer: 486777564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -85 (b) -5101 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112020222 + -112220?\nAnswer: -10112210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02503 to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 10. Give o(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - h + 2. Let l(d) = 1 + 0 + d + 2 - 5. Let j be l(0). Calculate m(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-681304)\/78612*3\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15875 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -1, -1\/7 in descending order.\nAnswer: 1.7, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6270c (base 14) to base 4.\nAnswer: -321330320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8*h - 5 = 3*h, 5*h = -3*s. What is the nearest to -0.2 in s, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**3\/5 + 107*t**2\/5 + 1093401*t\/5 + 1093293\/5 = 0.\nAnswer: -993, -1, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/3 + (-40)\/(-96)*10. Let l(p) be the third derivative of -10*p**2 + 0 + 0*p + 1\/12*p**4 - a*p**3 - 1\/30*p**5. Calculate l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 30*n**2 + 24*n - 138. Let c be q(-29). Let b(s) = -2*s - 5. Let o(w) = 3*w - 2 + w - 2*w - 3*w. Determine c*o(i) - 3*b(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 + 35 = 5. Let b(q) = -29*q + 1. Let g(x) = -29*x + 1. Let o(c) = 3*b(c) - 4*g(c). Calculate the remainder when o(1) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 46, 71, 96?\n\"Answer: 25*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23\/9 + 179\/63. Let f = -6.6 - -6.1. Let p = 24 + -23.5. Which is the smallest value? (a) f (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1060 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17640121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 7*b + 13. Let l be d(-4). Let p(c) = -24*c**3 - c**2. Let v be p(l). Which is greater: -24 or v?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*r - 12, 5*h + 5*r + 0*r - 20 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13704.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 244 and -205.369.\nAnswer: 38.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153830, 615162, 1384082, 2460596, 3844710, 5536430?\nAnswer: 7535762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*q - 3*z, -8 = 4*q - 3*z - 25. Suppose 0 = -3*x + q*x + 2*a + 44, 5*a + 20 = 0. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/9 + 10*k**4\/9 - 14*k**3\/9 - 2*k**2\/9 + 16*k\/9 - 8\/9 = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*p + 393 = 0, -r + 7*p - 5*p = -90. Let n be (r\/(-72))\/((-1)\/3). Solve n*d - 5 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 314.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17919 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -1\/3*l**3 - 5*l + 0 + 1\/12*l**4 + 1\/2*l**2. Factor g(v).\nAnswer: (v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403013 is divided by 1609.\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -35. Let h(o) = 12*o - 11. List the prime factors of h(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let z(k) = 18*k - 9 - 3*k**2 - 7*k**2 + 9*k**2. Let n(r) = -6*h(r) + z(r). Let p be n(11). Solve 0 = 3*s - p*v + 2, -5*s + 2*v = -0*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -61, -3, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -2. Sort p, -1, 5 in descending order.\nAnswer: p, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 67. Let i be n(-4). Suppose -i*j + w + 267 = -71*j, 2*j - 2*w = 138. Is j less than or equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.3 and -1527004.\nAnswer: 26417169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*l + 6, 0 = 4*z - 3*l - 2. Suppose o + z*f - 23 = -f, -f = 0. Suppose 5*m - o = -8. Let x(a) = a**3 - 2*a**2. What is x(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2033432144 (base 5) to base 3\nAnswer: 21220111022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*b - 16*x = -979, -12528*b + 12524*b + 40 = 4*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 115. Suppose -5*l + 6 = -3*k, 13*l - 5*l = 2*k + 32. What is the remainder when u is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313071 is divided by 4283.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 + -3 - (-15 - -21). Is u equal to 81\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 32*b**2 - 113*b + 113. Let z be q(1). Sort z, -26, -4 in descending order.\nAnswer: z, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 832 and 1416.\nAnswer: 147264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16788 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28433\/14 + 2033. Let w = d - 3. Let c = 10135\/6 + -1683. Find the common denominator of w and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54612 - -30?\nAnswer: -54582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6691239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-6))\/((-1)\/(-10)). Let p be 33\/(-7) + (-8)\/28. Let x = 0 - p. Solve n = 4*w + x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1809 and 1273.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/48 - 1\/2. Let m = 13 - 19. Let u = 10 + m. What is the smallest value in u, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, -2\/7, -5, 66, -35, 7?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1064 and 758898.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and (-3)\/2 - 1860\/(-24)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 411*j - 1 - 410*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2356770?\nAnswer: 2, 3, 5, 13, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1878.15.\nAnswer: -9390.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 275.6986 centuries?\nAnswer: 330838.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x + 1. Let r(f) = -19*f - 3. Let s(q) = -q**2 + 15*q - 21. Suppose b = -3*o + 4, -4*b + 1 = -3*o - 60. Let k be s(b). What is k*z(a) + 2*r(a)?\nAnswer: 7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-498)\/(-664)*(-176)\/84.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 - 6*w - 4. Let b be r(6). Let y = -16 + b. Calculate the remainder when 45 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {h: 5, u: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*m - 3*v, -2*m - 8*v + 5*v + 16 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/15 and 97\/32056540?\nAnswer: 96169620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 64*s + 949. Give z(-41).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20\/(7 + (-1 - (-236)\/(-40))) is divided by 52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112212010111 (base 3) in base 2?\nAnswer: 1000111011001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 - t**3 + 3*t**2 + 0*t**2 as k + s*t**3 + l*t + g*t**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 9*m = -u + 101, -5*u - m = -494. Suppose 33 = 3*r - 90. Calculate the remainder when u is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19944*48.\nAnswer: -957312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*x**4\/5 - 232*x**3\/5 + 178*x**2\/5 - 56*x\/5 + 6\/5 = 0.\nAnswer: 3\/13, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12122 (base 3) to base 7\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284585 is divided by 21890?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**4\/24 + 5*u**2. Let o(x) = -14*x. Calculate n(o(v)).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16109 + (-6 - (-1 - -2)). Let a be (-8)\/(-18) + p\/(-873). Is -22 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -40343\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y. Let p = -390 - -392. Let n(t) = -28336 - 16*t**p + 28336. Calculate j(n(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 0 + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 574116*m - 10909648.\nAnswer: 4*(m - 19)*(m + 143548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*f = -33 + 33 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r - 1. Let i(q) = 22*q - 2. Let w(n) = -n**2 - 5*n + 5. Let d be w(-5). Give d*i(v) - 12*j(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16\/1315, 18, -2\/15?\nAnswer: -16\/1315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:03 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237012 + 355601. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*b - 192 + 151, 33 = -4*h + 3*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 4, -9944, -4, 3.\nAnswer: -9944, -134, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2289014.66 to the nearest ten thousand.\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1\/2)\/1*-10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8*4\/14)\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*l**2 - 2*i**3*l + 51*i**2*l - 359*i*l**2 - l**2 wrt i?\nAnswer: 6*i*l**2 - 12*i*l + 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zncnzc. What is prob of picking 1 z and 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*f**2 + 44*f**2 + 32*f**2 - 2*f**2 + 1 - 1 + (0*f - 2*f + f)*(f + 4*f - 4*f) + 5*f**2 - 3*f**2 + f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3157 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**2 + 0*g**2)*(16 + 21*g**2 - 16) + (3*g**3 - 4*g**3 + 4*g**3)*(-3*g + 3*g - 2*g).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25)\/(-15))\/(10\/4))\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -833 (b) 2\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 175*f - 65. Let v(b) = 11*b**2 + 263*b + 104. Let y(i) = 8*n(i) + 5*v(i). Let d(h) = -23*h. Determine d(y(z)).\nAnswer: 23*z**2 + 1955*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165.8144423 rounded to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -23 - -3*(2 - 1). Let w = 21 + k. Do w and 9\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -170, -341, -512, -683?\n\"Answer: -171*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14*y + 18. Let o be r(-5). Calculate the greatest common factor of o and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2112010 + -22?\nAnswer: -2112032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a*h**2*l**2 - 32*a*h*l**2 - 7*a*h*l - 2*a*h - h**2*l**2 + 60*h**2*l - 2*h*l**2 wrt h?\nAnswer: -6*a*l**2 - 2*l**2 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 307462617 to the power of 1\/3, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2 + 6. Put 17, 4, b, -1 in increasing order.\nAnswer: b, -1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(21) - sqrt(210)\/(sqrt(50)\/sqrt(5) + sqrt(10))))\/(sqrt(3) - (sqrt(3) - 6*(sqrt(15)\/sqrt(5) + sqrt(3)))).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/2 + 3 + -2. Suppose -g + 4 = 0, 59*l - g - 11 = 56*l. Solve -20 = -k - l*n, -k + 0*n - p = -2*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.898*-6962.\nAnswer: 13213.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54627.26 millennia?\nAnswer: 5462726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 15, -5*r = -317*l + 318*l - 27 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0 + 9. Suppose -q + 0*r + 6 = 2*r, -4*q + 5*r - 2 = 0. Suppose -102 = -2*h - q*l, -115 = -2*h - v*l - 15. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 18*j - 3*p + 5 = 0, 0 = -2*p + 6. Let x(a) = 1. Let s(k) = -4*k**3 - k**2 - 2*k. Determine j*x(u) + s(u).\nAnswer: -4*u**3 - u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -2\/9, -4, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.45\nAnswer: -2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t = 16. Calculate the lowest common multiple of t\/4 - (-49)\/7 and (3 - -14) + 2\/(-1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.1302055 to 3 decimal places.\nAnswer: 79.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -54) + (-1 + 9 - 25)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + y + 3*y)*(-4 - 3 + 3)*(-1 + 2 - 4)*(-637*y + 1103*y + 1925*y).\nAnswer: -57384*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4555 is divided by 1515.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nyyynnynnyyyynnnny?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/120 + m**5\/6 - m**4\/8 - 7*m**3\/3 - m**2 + 13. Let z be w(-10). Solve 2*d - 26 + z = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 3\/50*d**5 + 7\/30*d**4 + 2\/15*d**3 + 0 + 0*d**2 + 3*d. What is v in t(v) = 0?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -8559.\nAnswer: -1\/8559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4990615 by -5.\nAnswer: 998123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.953 - -0.3.\nAnswer: -0.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-43)\/(-1032))\/(6\/184)*-1\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -17. Let p = 1.06 + -0.9. Let l = -1.16 + p. Which is the closest to 1? (a) l (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 13. Let r be f(-11). Find the third derivative of 5*o**2 - 4*o**r - 5*o**2 + 6*o**2 - o**4 wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 11) + -3 - 6 - (-3 + -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let f(q) = -10797*q + 10. What is f(z(w))?\nAnswer: 21594*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdla when four letters picked without replacement from {d: 2, l: 9, a: 1, p: 1}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90276 - -4?\nAnswer: 9027a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.095 - -3.177. Let x = 26.20366 - r. Let i = -1.07 - x. Round i to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1270\/(-3175))\/((-8)\/(-570))?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 - ((-335)\/4 + -2). Let n = j - 432\/5. Which is the biggest value? (a) 0 (b) -2\/3 (c) -0.02 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - -95 - (26 + 21)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12903)\/(-103224)*8\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-15))\/((-1)\/60). Suppose -3*i = g + 15, 4*g = i - 0*i + 5. Let d be i + (-585)\/(-20) - 2\/8. Is d at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {y: 2, p: 5, f: 1, b: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/24*-4 - (2 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 752 and 2.473 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10480386?\nAnswer: 2, 3, 7, 249533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2958950*g + 2958795*g + 4185 = 0 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135353406 is divided by 104.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-13 + 18)) + -4 - (-20 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793773 a multiple of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15054732.\nAnswer: 2, 3, 7, 11, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1018653, 1018657, 1018661, 1018665?\nAnswer: 1018669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 398 + ((-3)\/(-2))\/((-3)\/6). Let r = j - 202. Round r to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9698 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30029887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 3 - 0) + -3. Let p(o) = o**2 - 6*o. Let q be p(6). Solve v = -t - q*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -558*t - 2750 + 2750 + t**3 - t**3 + 3*t - 3*t + (1 - 2 + 2)*(-4*t**3 + 3*t**3 - 2*t**3) to d + o*t**3 + m*t + x*t**2 and give m.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -57675.4246274.\nAnswer: -57678.4246274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2321 and 316922.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23227.0885 rounded to the nearest one hundred?\nAnswer: -23200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.4 + -0.4. Let n = -20 + g. Let k = n - -5. Put k, -0.4, -2\/9 in ascending order.\nAnswer: k, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + m**3 - m**3 - 2*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -995, -1989, -2983?\nAnswer: -3977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6183681 to the power of 1\/2, to the nearest integer?\nAnswer: 2487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t. Suppose 5*n - 7 - 8 = t. Find the second derivative of x + 2*x**n - 6*x**3 - 2*x + 0*x wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12063431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32909299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 175. Let a = 14361\/3212 - -35\/292. Calculate the common denominator of a and (-4)\/6 + (-358)\/f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 10, 4*y = 5*s + 3*y - 493. Let u(a) = -2*a + 23. Let h be u(7). Calculate the highest common factor of h and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.9 - 6. Let x = 5 + -4. What is the second smallest value in 3, p, -4, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-50) + 2\/(-25)*-5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*r*u**2 + 8*r*u + 59284753*r - 4*u**2 - 40734*u wrt u?\nAnswer: 22*r*u + 8*r - 8*u - 40734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 14*o. Let l be b(-7). Suppose -q = 2*u - 24, 3*q - 4*q - 5*u = -36. Suppose -6*a + q + 20 = l. Solve a*s = 4*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-5 + -1 - -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-126)\/8 + 3\/(-12) + 1. Is 1217*((-6)\/(-4) - n\/(-30)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -244?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4183, -8365, -12547, -16729?\nAnswer: -20911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - 0) + 18\/(-9). Let w be 1\/5 + (-38)\/i. Solve 20 = -w*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15156 is divided by 632?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 721*b - 710*b + 81 + 149 + 1 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -19*c + 20*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**3 - 7*j**3 - 40*j**3 + j**2.\nAnswer: -59*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54478538, 54478530, 54478502, 54478442, 54478338, 54478178, 54477950, 54477642?\nAnswer: 54477242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - (-24 - 168\/(-21))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 50. Let k be d(26). Suppose 0 = 2*h + 2, 3*h + 2 = -k*i + 25. Calculate the remainder when 39 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*n - 0*n + 30800. Is 2 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22514 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 34*c - 218. What is q(-35)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -101.65?\nAnswer: -101.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-2)\/(-9)*-10. Suppose 17*q + 100 = -33*q. Let z(d) = -d**3 + d**2 + 5*d + 2. Let k be z(3). Which is the smallest value? (a) q (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 88772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -4, -55, 13, -3 in decreasing order.\nAnswer: 13, 1, -1, -3, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from {t: 17, s: 3}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:33 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 32 = 0. Suppose -4*a + 0*a + d = 0, 2*b - 22 = -3*a. Solve -5*g - b = -3*u, -4*g + 3 = -3*u - g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/132*11*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.48 + 0.44. Let l = p - -0.08. Let w = -1 + l. Sort 0, -1, w in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601592179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + t**3 - t**3)*(3 - 3 + 2*t) + 2*t**2 - 2*t**2 + 2*t**4 - t**4 + t**2 - t**2.\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*z**3 + 54*k**2*z + 2*k*z**3 + k + 4*z**2 wrt k.\nAnswer: -2*z**3 + 108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 319 divided by -24154\nAnswer: -319\/24154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 464225 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1144944 and -107\/11982?\nAnswer: 2286453168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5721, 5554, 5327, 5046, 4717, 4346, 3939?\n\"Answer: r**3 - 36*r**2 - 66*r + 5822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 - 3142*n**3 + 2293193*n**2 + 279220816*n + 276924480 = 0 for n.\nAnswer: -105, -1, 1624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiuiuwwwuwiiuur. Give prob of picking 2 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 13. Suppose 0 = 2*u - 2 - f. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93.2290572 + 93.23. Round t to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + 2*w + 2. Let o(i) = -11*i**2 + i - 1. Let u(l) = 10*l**2 - 2*l. Let b(z) = -3*o(z) - 4*u(z). Let g(k) = -3*b(k) + 5*n(k). What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-27) + (-87)\/29?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*n + 31*n - 612*n + 28254 = -223*n for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3369, -3358, -3347, -3336, -3325, -3314?\n\"Answer: 11*d - 3380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4*(5*sqrt(114) + sqrt(114)))\/(sqrt(6) + (3*sqrt(600) - sqrt(6)))*2)**2.\nAnswer: 1091\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96375883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h**3 - 2*h**3 - 2*h**3)*(3 + 4 - 1)*(h - 2*h - h) as c + o*h**3 + b*h + p*h**4 + u*h**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 472 + -125. What is the highest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 2*n**2 - 3*n**2)*(-2 - 3*n**2 + 2) + (-4 + 5*n + 4)*(-n**3 - 3*n**3 + 2*n**2 - 24*n**3).\nAnswer: -137*n**4 + 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t + 224. What is m(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 91.1. Let d = -8.7 - z. Let h = 13 + d. What is the third smallest value in h, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 + -144. Put -5, -1\/4, r in descending order.\nAnswer: r, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 = 2*r, -2*x - 10 = 3*x. Suppose k + 3*t - r = 0, -1 = k + 2*t - 3*t. Calculate the smallest common multiple of k and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/120 - 7*k**5\/60 - 7*k**4\/24 - k**3\/3 - 2*k**2. Is v(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 740413, 1480943, 2221473, 2962003?\nAnswer: 3702533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwkkk. Give prob of picking 1 w and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-3)\/j)\/j)**(-34)\/(j**(-10)\/(j\/((j**12*j)\/j))))**(-18\/5) assuming j is positive.\nAnswer: j**(-486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 539\/14*(-2 + 300\/175).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -561, -2278, -5139, -9144, -14293, -20586?\n\"Answer: -572*q**2 - q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 divided by -3?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666595427 to the power of 1\/2, to the nearest integer?\nAnswer: 40824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -d3 (base 16) to base 5\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 4, m: 9, o: 1, j: 4, p: 1}. What is prob of sequence lj?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.4 (b) -27\/2 (c) 1 (d) 0.1 (e) 43 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 152 + 509 = 0. Is 4\/34 - 78789\/h - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/474 and 15\/2116.\nAnswer: 501492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**3 - 7*i**2 - 17*i - 3. What is p(-3)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46268476517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 6*m**2 + 9*m - 10. Let y be w(7). Let t be y\/10 + (-2708)\/20. Let p be (-2)\/8 - t\/(-4). What is p rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/400*-12)\/((-420)\/(-50)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -3 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 497.\nAnswer: 13419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1111001011110 (base 2) to base 13\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2 (b) -27 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22119 and 10293.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 2506.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.05547 and -0.143.\nAnswer: 2.91247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9399767500 to the nearest one million.\nAnswer: 9400000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3 + 6*h + 5 - 5*h. Let r(j) = 3*j + 5. Let c be (-4)\/6 + (-16)\/12. What is c*r(l) + 5*q(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 8. Let g be f(8). Suppose 2*r = l + 3, g = r - 6*r + 4*l + 15. Let i(k) be the second derivative of -5*k**3\/6 - k. What is i(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14356*q + 1470 = 14426*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 5*o + 29, -d + 2*o = -9. Let v be (4 + d)\/(2 - 1). Let i = v + 0. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33909582 is divided by 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 5, -3, 1 in decreasing order.\nAnswer: 5, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1364*a**3 - 154*a**2 - 2774*a**3 + 1329*a**3 wrt a?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -31*t**3 + 91*t**2 - 15*t + 62. What is b(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 1\/4 (c) 90 (d) -0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*-1*6 - 2*(sqrt(425) - (0 + sqrt(425))))*6 - (-3*sqrt(425) + 3 - (sqrt(425) - (3 + sqrt(425)))*-4))**2.\nAnswer: -2970*sqrt(17) + 462906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 764038.96 + 0.103\nAnswer: 764039.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (1 - 4 - -1)\/(28\/(-1442))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a94125 (base 12) in base 9?\nAnswer: -11588042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 14 - 7. Suppose -9 = -4*t + x. What is the remainder when 11 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 60*k**2 - 211*k - 1082. What is a(-63)?\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 + -860469?\nAnswer: -860412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - w = -23, 4*o = 12*o - 12*o - 2*w - 50 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-25) + (-4)\/(2320\/(-76)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 9:27 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10433\/7 - -1491. Which is the closest to -8.4? (a) -1 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291557640.\nAnswer: 2, 3, 5, 11, 220877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**3\/6 + 15*i**2\/2 + 6*i. Let s be y(-13). Find the first derivative of -4*r**2 - 4 + 8*r**2 - r**2 + 2*r**s wrt r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1620)\/7560*(-1)\/(-1).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 40) + 4 + (2 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387535 (base 11) in base 14?\nAnswer: 11c569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1418*n**5 + 968*n + 2?\nAnswer: 28360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, -1\/5, -2963\/4 in descending order.\nAnswer: 10\/9, -1\/5, -2963\/4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 + 272. What is the least common multiple of t and 1375?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -28, 15323\/8 in increasing order.\nAnswer: -28, 3\/2, 15323\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + -0.01. Let o = -0.94 - w. Let i = 6 + -6.3. What is the third biggest value in o, i, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14040\/1248 + 1\/(-4) + 100\/16\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(704) + (sqrt(704) - (sqrt(704) - 3*sqrt(704)*6)) + -3*sqrt(704)*-2) + 2 + 2)**2.\nAnswer: 1760000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*y - 9, 4*w - y + 8 = -4*y. Let v be w\/(-2 - (2 - 3)). Put v, -8, 0 in increasing order.\nAnswer: -8, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 433916887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 3, t: 5, y: 3, z: 4}. Give prob of picking 2 t.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (418\/(-143))\/((-6)\/(-16) + 660\/(-1248)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 583*o. Let w(y) = 5*y**2 - 80. Determine s(w(m)).\nAnswer: 2915*m**2 - 46640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7072\/3*i + 21632\/9 - 46*i**2 - 2\/9*i**3.\nAnswer: -2*(i - 1)*(i + 104)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239600.\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*x + 55*x - 30*x + 44 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8610 and 11?\nAnswer: 94710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106622, 212930, 319312, 425804, 532442, 639262, 746300?\nAnswer: 853592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(245) - sqrt(245)*-1)*6 + sqrt(245) - sqrt(245)) + sqrt(245))\/sqrt(7))\/(sqrt(700) + sqrt(700) + -3*-1*sqrt(700) - sqrt(700)).\nAnswer: 13*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3321*t**4 - 6*t + 17561.\nAnswer: 13284*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13667 - -13668. What is the nearest to 0.2 in m, 0, 236?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278862 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 - 9888144348.\nAnswer: -9888144348.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**(1\/2))\/t)**(-31) assuming t is positive.\nAnswer: t**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 207830804 divided by -41?\nAnswer: -5069044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -1*(4*(1 + (sqrt(200) - (5 + sqrt(200)))) + 1))**2.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as 7\/5598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-42))\/(31*(-62)\/74958).\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-12) + 2514\/36. Suppose -v = -6*v + f. Suppose 14 = -r + 49. What is the greatest common factor of v and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -392*b - 8589. Determine r(-22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 5*z**2 + z + 5. Suppose -4*y = -y - 15. Let k be t(y). Is 6\/15 + 146\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8530966 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26.13*205.1\nAnswer: 5359.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 24 = -2*a, i - 383*a - 32 = -388*a for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18\/7 + 3. Let s = -2 - 0. Let q = 0.3 + -0.5. What is the closest to -0.1 in s, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18723*c**5 - 2*c**4 + 7*c**3 + 2058*c**2 + 2*c + 6.\nAnswer: 1123380*c**2 - 48*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5247 - 1dd?\nAnswer: 5059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 603 = 597. List the prime factors of (-33)\/(-99) + 2942\/k.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + k. Let i(x) = x. Let w be i(5). Suppose -12 - 3 = -w*c. Suppose y - c*y - 12 = 0. Let v(t) = -t**3 - 6*t**2 + 6*t - 2. Give y*r(g) + v(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56784)\/10816*16\/602?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 - 0.4. Let u = v - 0.26. Let d = 0.1 - u. What is the third biggest value in -3, d, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/49 + 2\/14. What is the closest to 0.1 in -5, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2 - 1643496*k = 0.\nAnswer: -821748, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 153*r**2 + 71*r - 181. Calculate the remainder when 804 is divided by o(-76).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3746*l**2*w**4 + 2*l**2*w**3 - 10378*l**2*w**2 wrt w.\nAnswer: 89904*l**2*w + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.10059 + -5.52959. Let o = l + 0.429. What is the fourth smallest value in -3, o, 22, 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2\/4 + 10713*q + 5814417\/4 = 0. What is q?\nAnswer: -14147, -137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/2 + 10191*h + 20379\/2.\nAnswer: 3*(h + 1)*(h + 6793)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/30 + 73885\/75. What is the highest common factor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 78. Suppose 0*c - 2*c**4 + 4\/7*c**2 - 10\/7*c**y + 0 = 0. What is c?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1544232440?\nAnswer: -1544232435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 divided by -236?\nAnswer: -1153\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 7*q**2 + 6*q - 6. Determine l(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/3*-2. Differentiate k + 2*p**2 - 1 + 4 with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*q + 4327573 - 4299073 = 0 for q.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -754 - -1004. Let f = 248 - u. Let h(w) = w**3 + w**2 + w. Give h(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -15. Suppose -2*a - g*a - 494 = 0. What is the third biggest value in -0.4, -0.5, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**5 + 4033*p**4 - 58*p**3 - 622656*p**2 wrt p?\nAnswer: -120*p**2 + 96792*p - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397006773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -30*q + 20. Let f(n) = -3*n - 1. Give -15*f(p) + h(p).\nAnswer: 15*p + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 250\/8527 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/7 + 875\/49)\/2. Suppose -7*p + f*p = 0. Is 1\/103 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190223936.2 rounded to the nearest one million?\nAnswer: 190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 61927815609*o**4\/2 - 123856128924*o**3 + 1990826*o**2 - 8*o = 0. What is o?\nAnswer: 0, 2\/248853, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (2*sqrt(432) - sqrt(432)))\/(sqrt(9) - (sqrt(9) - -1*sqrt(9) - sqrt(9))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-1 + -159 + -1). Find the third derivative of -g*s**2 + 53*s**4 - 108 + 108 + 53*s**2 wrt s.\nAnswer: 1272*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -32124*r**3 + 11*r**2 + 8*r - 4. What is the tens digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/594659 and 17\/18774?\nAnswer: 74927034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -875240*i**3*l*v - 100*i**3*v + 107*i**2*l*v + 435*i**2*l + 5*v wrt i.\nAnswer: -5251440*l*v - 600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0 + 11 - p**2 + 7. Let j be (-1 - -1)\/(7 + -6). Does 5 divide a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2707 - 217. Suppose -2*s = 3*g - d, 574 + 296 = 4*s - 2*g. What is the remainder when s is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227415 is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -3852\/41. Suppose -7*z - 5*q = -2*z, 2*q = 2*z - 8. Suppose -z*f - 2*m + 0*m = -10, -21 = -5*f - 4*m. Is l bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*q + 961643 - 398407 = -3079614. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*d - 5*w, 5*d + 5*w - 45 = d. Let j be (-7*2\/8)\/((-29)\/(-2900)). Let b = -172 - j. Sort b, -5, -1, d in decreasing order.\nAnswer: d, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76\/77 - 14\/11. Let f be (-675)\/(-95) - (1246\/182 + (-12)\/(-78)). What is the third smallest value in f, -0.3, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) -0.1 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 7, m: 2, n: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248705694*i**4 + 3*i - 154918516.\nAnswer: 2984468328*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*q - 54, 7*t - 183 = 2*t + 2*q. Let z = t - 30. Solve -z*u - 4 = 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jppnmjo. What is prob of sequence opj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -493, -4, 2 in increasing order.\nAnswer: -493, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away 997?\nAnswer: -997.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 + l - 1. Let i be x(1). Let a(m) = 35*m - 83. Is a(i) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 9*h - 21. What is the smallest common multiple of g(3) and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*j + 8. Suppose -5*d + 2*p + j + 4 = 0, -5*d + 5*p = -5. Let v be (2\/(-5))\/(4\/(-20)). Solve -d*y = -v + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 5:02 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from uruunnrrujnuuqrm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 251. Suppose -4*d + o = -2*d. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76748951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*c, -c + 7 = -3*h + c. Is -3 - (h + 4 - 3497) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -3*g - 19, 0 = -3*g - 9. Suppose n + 3*n - 52 = 4*a, -n - 5*a = -31. Let v = n - m. Solve -i = 3*s + v, 0*i - i = 5*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 500 - 310. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 5:44 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.963? (a) -2\/9 (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/53, 1, 0, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/21295471 and -65\/85181884?\nAnswer: 85181884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s - 24. Calculate i(-13).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65883818 and 2002.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:09 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -8*s + 3*s - h, 2*h + 1 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, q: 7}. Give prob of sequence qjj.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k**2 - 36*k**2 + 238*k - 125*k - 113*k.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (sqrt(1872) + -1))**2*5 + 4 + (-1 + sqrt(13) + sqrt(13) + -3)**2.\nAnswer: -16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g + 3*g + g**3 - 1 + g. Let a(o) = 4*o**3 - 3*o - 3. Let u(i) = -i**3 + 4*i**2 + 2. Let w be u(4). Give w*h(t) - a(t).\nAnswer: -2*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 26749870.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 46. Let w(s) = 2*s**2 + 7*s + 12. What is the remainder when w(r) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 22, -3, -116, 412 in increasing order.\nAnswer: -116, -3, 10, 22, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-60)*2\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*2*3)\/(sqrt(1100)*-2))\/((sqrt(7) - (sqrt(7) - (sqrt(21)*5)\/sqrt(3))) + (sqrt(7) - (4*sqrt(7)*-6 + sqrt(7)))).\nAnswer: -3*sqrt(7)\/290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0908731 kilometers in millimeters?\nAnswer: 90873.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -f - 13, 270*f - 87 = a + 275*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-6 - -19) - -4. Which is smaller: f or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -15. Let g be (-68)\/w + (-3)\/6. Suppose -48 = -g*l + 4*l. Solve -2*t - 4 = -l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t**2 + 3. Let y(h) = -60*h**2 - 16. Let u(z) = 16*a(z) + 3*y(z). Let c(j) = -j**2. Give -20*c(i) - 2*u(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 1776321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94? (a) 5 (b) 3 (c) 107 (d) 815 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {s: 2, d: 4, y: 1, w: 2, h: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - m)*(-136*m + 48*m + 62*m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let q(x) = -7*x**2 + 2*x**2 + 2*x**2. Determine r(q(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -186. Let u = -37 + t. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 6. Let q(u) = 5 - 1 + 5*u - 2*u + 2. Let v(w) = -5*p(w) - 6*q(w). What is the units digit of v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:01 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12669*y + 12612*y - 2109 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 139\/3. Let f(k) = -k**2 - 11*k + 125. Let y be f(7). What is the second biggest value in u, -1\/5, y, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(sqrt(13) + 1)*-3 + 4)**2 - (-1*sqrt(208)\/sqrt(8))\/(sqrt(384)\/sqrt(12)).\nAnswer: 1153*sqrt(13)\/4 + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:06 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aee when three letters picked without replacement from {n: 9, e: 8, r: 1, a: 1}.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2 = -t - 2*u, 0 = -4*u + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 4\/11, 5677?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -253*p + 19501. Calculate h(77).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965855?\nAnswer: 5, 11, 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70595 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*(-2 - 1 + 2)*(-1160*i + 7 + 583*i + 576*i + i**2) to l*i + w*i**2 + b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + q - 9. Let r be c(3). Let d = 29 + r. Solve 0*x = x + 4*y - d, 0 = y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - 0 - -14 - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1057*j = 1050*j + 1995. Let d = -281 + j. Solve 8 = -d*o + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2507\/4284 + -2\/1071. Let b = k - 1\/12. What is the closest to 0.2 in 3\/2, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 40, 58, 76?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1976898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -44*(3\/(-3))\/2. Suppose 4*z + 2 - r = 0, -d + 30 = 4*z. Suppose -5*s = 2*m - d, -m - 10 = -5*m - 5*s. Put m, 0.3, 1 in decreasing order.\nAnswer: 1, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 155?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -210681*b**4 - 1968804*b**3 - 25712*b**2 - 112*b + 3939. Solve n(z) = 0.\nAnswer: -7, -2\/459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**4 - 4*i**3 - 132*i**2 - 236*i - 112 = 0.\nAnswer: -4, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1da0 (base 14) to base 9\nAnswer: -7405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161.3 + 155. Let u = -0.3 - t. Let d = u + -6.005. What is d rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20228208 divided by 6\nAnswer: -3371368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-12)\/32)*6\/(-8). What is the remainder when 3 - (j + -1) - -54 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 5*o + 18. Let h be l(-7). Let p be (5\/(-2))\/((-22)\/44). Which is the nearest to -0.2? (a) -3 (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 3*d - 3*d + (-5 + 1 + 2)*(2*d + 0*d - d) + 3*d - 3*d + d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -112, -220, -324, -418, -496?\n\"Answer: s**3 - 4*s**2 - 103*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 6 = 1. Solve -4*u = -5*t - 7, -3*t - t = -u - b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45183612 a multiple of 2633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 4*i - 8. Let f be (-16)\/(-6)*30\/i. Let j be 32\/f*2\/40. Are 0 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 1 - 4*l**2 + 2 as n + c*l**2 + z*l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + 3513?\nAnswer: 3530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 = 4*q, 3*q + 10*z - 9 = 7*z. Suppose q*l + 17 = 87. Calculate the highest common factor of l and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1728, 2885, 3964, 4965, 5888, 6733, 7500?\nAnswer: 8189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1381*a**2*p**3 + 3*a**2*p**2 - 532*a**2*p + 809*a*p**3 - 10*a - p**2 + 3*p wrt p.\nAnswer: -8286*a**2 + 4854*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 9:02 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-240)\/(-5))\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 5\/4, 0.3, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000074980039 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318 and 42.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834933392?\nAnswer: 2, 52183337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.6646 + 48.8245848. Let s = -0.16 + c. What is s rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*w - 2484 = 996. Put 2, 21, w in ascending order.\nAnswer: 2, 21, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uunnuuddnudunuun?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 73*m**8\/336 + 37*m**5\/20 + 21*m**2 + 3. What is the third derivative of o(b) wrt b?\nAnswer: 4380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2682*q - 153116 = 52000 - 32194 + 33592 for q.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 9*q - 13. Give t(-9).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-27))\/(374\/(-330) - (-1)\/(-5)). Determine o, given that x*o**2 - 7\/2 + 3*o = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93287*o + 98814 wrt o.\nAnswer: -93287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1264.00000569 - 1264. Round k to 7 dps.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(4 + 0) + 3. Let w = -14 - -20. What is the units digit of (12\/n)\/((-1)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6054, -6032, -6000, -5952, -5882, -5784, -5652, -5480?\nAnswer: -5262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 1.6 (c) -4 (d) 4 (e) 2\/17 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + 1)*(-16*j - 544 + 544)*(0 - 1 - 1) to m*j + v and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 28 + -27 - -29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g + 24 = 0. Suppose -4*a - 12 = 4*i, -g*a - i = -3*a - 5. Suppose 4*m = -20, 2*w - 55 = -3*w + a*m. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 1. Let o be z(-3). Let g be 6\/((-1)\/o - (-2 - 0)). Suppose -f = g*m - 244, 111 = 2*f + 3*m - 357. Is f a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-163)\/815)\/(2\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92296740 divided by 562785.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and 17521169 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 131, 34, -4, 2 in descending order.\nAnswer: 131, 34, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 522*w**2 + 18612*w + 371112.\nAnswer: 3*(w - 94)**2*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-369173)\/(-92))\/(7\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 18*d - 15*d - m, -2*d = 3*m - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.65.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 294165 divided by -9?\nAnswer: -32685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 - 98. Calculate the remainder when c is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - -0.2. Let w = 1 - s. What is the closest to -1 in w, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*g - 555 - 2*g**2 + 7*g**2 - 58*g + 1275.\nAnswer: 5*(g - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t - 4*z + 36 = 0, 3*z - 118 = -4*t. Suppose -192 = -4*f - t. Calculate the remainder when 449 is divided by f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**5\/5 + 8722*s**4\/5 + 57602*s**3 + 669922*s**2\/5 + 124402*s\/5 - 266228\/5 = 0.\nAnswer: -2147, -31, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-88)\/10*(-5)\/(-1). Let m = l + 134\/3. Let o = -1.347 + 0.847. What is the nearest to -1\/4 in o, 0.5, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((2 - 3) + -3 - -6) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89310 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**6\/15 - 7*y**5\/2 + 6*y**4 - 4817*y. Determine o, given that c(o) = 0.\nAnswer: -36, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-4) + 0*(-1)\/(-4). Let i(l) = -3*l + 5. Let k be i(-5). Solve -3*r = x*r - k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 694 and 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 33618a?\nAnswer: 336186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.023, -4\/7, 5?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 42*q**2 - 235*q + 100. Let v be f(47). Is v greater than 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-182)\/52 - 63\/(-14). Let k be ((-4)\/(-50))\/((-9)\/(-5)). Sort k, g, -0.3 in decreasing order.\nAnswer: g, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5645, -10470, -15295, -20120, -24945, -29770?\n\"Answer: -4825*q - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 184*a + 79*a + 185*a - 248*a. Let l(i) = 3*i**2 + 7*i**2 - 9*i**2. What is p(l(h))?\nAnswer: 200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 + 141*s - 110. Give p(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -20 + -15 + 42.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -1.6. Let u(q) = 44*q - 1500. Let t be u(34). What is the nearest to 0.1 in 0, t, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*f - 0*f + 41984, 4*i = -3*f + 167917. Suppose 4*s + 0*l - 4*l = i, 2*l = -3*s + 31510. What is s rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 0. Let l be 2\/6*(-27)\/w. Let f be ((1*-1)\/(-2))\/(-2). Which is the second biggest value? (a) f (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15675 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8516737, 8516757, 8516789, 8516833, 8516889, 8516957, 8517037?\nAnswer: 8517129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 0, -0.21, -14\/9, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b + 17*b + 0*b as i + y*b and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 22*i**2 + 38*i + 49. Give c(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + w = 5, -4*w + 14 = 79*k - 81*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5)*(-3 - -3068). Let s = t + -308. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1213*z**2 + 166148*z + 188594359?\nAnswer: -2426*z + 166148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwcbepwcb. Give prob of picking 1 p and 1 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tikc. Give prob of sequence kc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -2401, -8080, -19229, -37672?\nAnswer: -65233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 4. Let d(i) = -i**2 - i + 3. Let z(l) = 4*d(l) - 5*n(l). Let a be z(8). What is the greatest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010001020202 (base 3) to base 10\nAnswer: 1122842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from qerreeeaeeeeqarea.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 536416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) 2 (c) -1.11 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, q: 2, v: 1}. Give prob of sequence zqv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 8:43 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/33)\/((-852)\/(-781))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.046 - 0.484. Let z = i + -66.47. Let c = z + 60. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.4, -8, -1\/2, 0.2 in descending order.\nAnswer: 0.4, 0.2, -1\/2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -496, -2040, -4626, -8266, -12972, -18756, -25630, -33606?\nAnswer: -42696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66439.\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 17) + -2 + -2 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -50.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43843 is divided by 577?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4002 and 0.1?\nAnswer: 4002.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19127*q - 19086*q - 1472 = -38149*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.102228 - -0.4.\nAnswer: 0.297772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 9:56 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 54*z**2 + 64*z - 472. Give q(55).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ufffkfrffyur.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36719 and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403800 and 68646?\nAnswer: 4038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, -52, -150, -288, -466, -684?\n\"Answer: -20*h**2 + 2*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/15)\/(6\/(-15)). Let w be -2 - (204 - 1)*o. Let c = -1607 + w. What is c rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1330 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b**3 - 6*b**2 + 5*b - 7. Let v(g) = 8*g**3 + 5*g**2 - 4*g + 6. Suppose -3*w + 3*q - 1 = 11, -4*w = 2*q + 22. Calculate w*v(c) - 4*o(c).\nAnswer: -4*c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/3 - 5*m**2\/2 - 2*m + 1. Suppose 5*r + 9 - 39 = 0. Suppose 3*x + 2*k + r = 0, -2*k = -5*x - k - 23. Calculate d(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6020)\/(-43) + (-436 - -195)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 7 - (15 - -6 - 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 521, 490, 447, 392?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*v + 4140 + 4161, -5*v = 3*d - 8293. Suppose 8*m - 1954 = d. Round m to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1643 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -0.773.\nAnswer: -1.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 536 = 3*p + 497, 5*g - 120 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2\/9, -1122?\nAnswer: -1122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -10, -5\/3, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 9*b**2 - 11*b + 6. Calculate i(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27524 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 + p**2)*(-3*p**3 + 0*p**3 + 2*p**3) - 887*p**5 + 33*p**5 + 98*p**5.\nAnswer: -757*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 4:38 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -54a351?\nAnswer: 54a34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 1 s when three letters picked without replacement from {b: 1, v: 7, s: 2, u: 1, c: 1, j: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-210)*(-3)\/8. Sort -5, 1, o, 3 in increasing order.\nAnswer: -5, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let p = -20.5 - -20. What is the nearest to t in 3\/7, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3516041223?\nAnswer: 3, 41, 223, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -1082\/9. Find v such that 0*v - d*v**3 - 2\/9*v**5 + 4\/9*v**4 + 0*v**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 4*b. Suppose -4*t - 10 = -3*f, b = 4*f + 5*t - 32 - 33. Suppose -f = q - 11. Solve 3 = 2*h + q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8334.224ng?\nAnswer: 0.000000000008334224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, 0.4, -30, -0.3 in ascending order.\nAnswer: -30, -0.5, -0.3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((0 - 5) + -33 + 37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13102 + -31?\nAnswer: -13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = 5*c - 0*u, -4*u = -4*c + 16. Factor 2\/5 + 3\/5*g + c*g**2 - 1\/5*g**3.\nAnswer: -(g - 2)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*r + r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.113 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.709199 to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**2*t + 3*k**2 + 3*k - t - 268 with respect to k.\nAnswer: 6*k*t + 6*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from ttjtjhtj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/378 and (5 - -6*372\/(-720)) + -3.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010410428 rounded to 4 decimal places?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*l**5 - l**4 - 181*l**2?\nAnswer: -1140*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Suppose -6 + 16 = 5*x. Let n(l) = -x + 2 - 39*l + 63*l. Let r(t) = -5*j(t) - n(t). Find the first derivative of r(z) wrt z.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(132) + (sqrt(132) - (sqrt(132) - (5*sqrt(132)*1 - sqrt(132)))))\/((sqrt(132)*-2)\/sqrt(11)) + -5).\nAnswer: -5*sqrt(11)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(3*g**2 - 3*g**2 + g**3) - 87430*g**3 - 87416*g**3 + 174692*g**3.\nAnswer: -156*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2069, 2073, 2079, 2087?\nAnswer: 2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39453.09 + 39253. Let k = p + 195. What is k rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 7. Let t be i(5). Let a be 155 + 3 - (-4)\/t. Is (-2)\/6 + a\/12 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14470203 to 4 dps.\nAnswer: 0.1447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -130000203 (base 5) to base 12\nAnswer: -261879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9951977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*y - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 3, w: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74.9 and -0.5784.\nAnswer: 43.32216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w - 2*w + 4*w)*(-5*w**2 - 3*w**2 + 3*w**2) in the form l*w + v + r*w**2 + j*w**3 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199529.\nAnswer: 11, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-54)\/(-15) + 3\/(-5). What is the third derivative of 7*h**2 - 6*h**5 - 3*h**4 + q*h**4 - h**5 wrt h?\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 27*w**3 - 2*w**2 + 4*w - 3. Let r be d(1). Let x = 32 - r. Suppose -4*k + 890 = x*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*c*j**2 + 926*c*j + 158576188*c - 101*j**2 - j wrt j?\nAnswer: 148*c*j + 926*c - 202*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.5 in 31\/3, -1\/282, -5, -0.2, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5 + 184535*b**4 - 1702935080*b**3 + 5107144560*b**2 = 0. What is b?\nAnswer: 0, 3, 18452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19636067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44\/13? (a) 5 (b) 8\/11 (c) 101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v. Let m be r(1). Let k = 7 - m. Let d be -6*k\/((-27)\/3). What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 - -76.937. Let l = -0.0816 - u. Round l to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 7, s: 4}. What is prob of picking 2 g?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -30\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40005781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c - 576 = -431 + 2063 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (-1 + sqrt(363))) + 1 + 0 + -1)**2 + (-5*(sqrt(363)*3 + sqrt(363)) + sqrt(363) + sqrt(363) + -1*sqrt(363) + sqrt(363) + -4)**2 + -3.\nAnswer: 1584*sqrt(3) + 117626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 96330.65 to the nearest one hundred.\nAnswer: 96300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20285589 = 53561471. Let l = 10061765 - n. Round l to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-825)\/(-22)))\/((-3)\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31590 divided by -1215.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -591.5 (b) -6 (c) -0.3 (d) -2\/9 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201559989.\nAnswer: 3, 59, 1138757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 11\/330*70)\/(1\/1731). What is the greatest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:58 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -19. Let i = u - 10. Let g = -95 - -666\/7. What is the closest to 0 in -1, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1c649e?\nAnswer: 1c6499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/26)\/(4\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-18*o - 18*o - 13*o) - 3*o - 5*o + 6*o - 3*o + 0*o + 2*o + 0*o + 3*o - 2*o + (0 - 2*o + 0)*(1 - 2 + 2).\nAnswer: -53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-4))\/5*200. Suppose 12*v - 14*v + d = 0. Calculate the remainder when 21 is divided by v\/9 - 2\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 2*i + 2*i**4 + 2*i**2 - 4*i to the form f*i**3 + k*i**4 + q*i**2 + v + y*i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -41 + 49. Suppose 5*w - 540 = -2*p + p, -m*w - 1116 = -2*p. Suppose 3*v + v + 210 = 2*z, -5*z = 5*v - p. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g - 37 = 77. What is the second derivative of -g*j**2 + 115*j + 67*j - 19*j wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3173875960 to the nearest one million.\nAnswer: -3174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = -6*v. Let f(i) = -i**3 + 7*i**2 - 6*i. Let r be f(6). Suppose -v*m - 3 = -r*m. Which is the third smallest value? (a) m (b) 3\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50911000 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 2, q: 1, d: 1, m: 1, t: 2}. What is prob of sequence dyyq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -0.092 (b) 2406 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52235404 divided by 4.\nAnswer: 13058851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**3 + 16*o**2 + 624*o + 0*o**2 - 624*o as g*o**2 + l*o + z*o**3 + a and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11.1 (b) 360 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {k: 3, u: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14*d = -3330. Which is smaller: d or 340?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*k - 21 = y, -5*y + 18 = k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -d41?\nAnswer: d44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*p - 25745 + 225 - 236 = 0 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 542*u - 257*u - 266*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10285949 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 21.6227?\nAnswer: 23.6227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*f + 90*f - 7 = 5*u, -u - f = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25024.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zezezerezzerrererzr. What is prob of picking 3 z?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20374649 and 5.2.\nAnswer: 20374654.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 73.1.\nAnswer: -66.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57208807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**12)\/(a*a**(9\/4)\/a*a) assuming a is positive.\nAnswer: a**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12868037)\/(-84) - 1\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = t - 129, 5*t - t + 2*g = 522. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p*p*p**(-2\/33)*p)\/p)\/p*p*p*p**(1\/34))\/(p**(2\/5)*(p\/p**(-24))\/p*p) assuming p is positive.\nAnswer: p**(-120229\/5610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Solve 3*n + n - 4 = w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.42 + -20. Let s = -0.02 + n. Which is the nearest to s? (a) -5 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33306 (base 11) to base 13.\nAnswer: -18c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*l - 17*l - 18*l**2)*(-3 + 6 - 2)*(2 + 0 - 3) + 43 - 43 - 14*l**2 to v*l + g*l**2 + h and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 12 = 0, -22*b + 8 = 1256*r - 1258*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*a = 1420 - 16050 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v**3 + 3*v**2 - 4*v + 4. Let y(q) = -11*q**3 - 3*q**2 + 3*q - 3. Let i(z) = -3*r(z) - 4*y(z). What is the third derivative of i(s) wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -201*a + 2708. Give q(14).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23932 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4995658 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 375*o. Let a(i) = 371*i. Determine -2*a(y) + 3*z(y).\nAnswer: 383*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -27. Let y = -21 - b. Suppose 0 = -4*n + 3*t + 25, 62 = 5*n + 5*t - 13. Solve 3*s - 2*v = n, y*s - s - 1 = -5*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - 417*k**2 + 4223*k + 122. Give t(128).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5454 + 70179 = 13304*b - 81356 + 23949 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*f + 237 = z, z + 112 = -4*f. Let c = -108 - z. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 793*t**3 - 134*t**2 - 40*t + 35483859 wrt t?\nAnswer: 2379*t**2 - 268*t - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 227 = -13. Suppose 240 = -i + 6*i. Suppose 0 = -4*z + z + i. Calculate the highest common divisor of d and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890873 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-1 + sqrt(891)))**2 - (4 + sqrt(1331)).\nAnswer: -27*sqrt(11) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 11745\nAnswer: 2\/11745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*y**2 - 667*y**2 + 801*y**2.\nAnswer: 771*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17643492 to the nearest integer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8*264\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h - 9. Let c(w) be the first derivative of 5*w**2\/2 + 5*w - 310. Give 7*c(r) + 4*t(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/(-1674))\/(98\/(-16709))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 730*z + 36. Let r(m) = 62*m. Calculate r(s(i)).\nAnswer: 45260*i + 2232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2781643*t**2 + 2*t + 162910.\nAnswer: -5563286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 10. Suppose -w*x + 0*x = -10. Solve x*b - 6 = 2*v + 4*b, -3*v - 2*b = 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58, -39, -264, -677, -1338?\n\"Answer: -10*v**3 - 4*v**2 - 15*v + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136.00157 - 136. Round p to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 5*j - 3. Let g be p(-5). Let r be 2\/(-7) + g\/42. Suppose 6*c - 5 = -4*v + c, 0 = r*c + 15. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82044490?\nAnswer: 2, 5, 11, 745859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 29*c**3 - 6*c**2 - 6*c - 21. Let r(o) = 85*o**3 - 17*o**2 - 17*o - 65. Determine 17*m(g) - 6*r(g).\nAnswer: -17*g**3 + 33","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ezzeezeezzezezzeeezz?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 547 + 2*(-3)\/(-6). Let o = l - 153. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = 3*f - 2*f, 4*f + 24 = 4*i. Suppose i*o = -5*c + 20429 + 1194, 2*o + 4333 = c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 4:14 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2600 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 14*o**2 - 12. What is the units digit of y(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 2. Let i = b + -1.1000003. Let k = 0 - i. Round k to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 18*u - 17*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/2 - 8*y**2 = 0. Calculate y.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2 + 36. Let f(o) = -o**2 + 7. Let t(s) = -2*b(s) + 11*f(s). Is 7 a factor of t(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.61 to 0 decimal places.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d**2 + 7*d - 13. Let b(o) = 4*o**2 - 128*o + 3. Let g be b(32). Give x(g).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 bigger than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*f + 1336, 633 = -3*z + 4*f + 1634. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-5 - (2 + -7)))*1. Let t = -4 - -2. What is the biggest value in -5, -4\/5, t, k?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2 + 540838*u - 19 - 540839*u + 17. Determine c(4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -172 + 25. What is the thousands digit of (-55 - 8\/(-2))\/(w\/(-518))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696950 is divided by 2562?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4397\/17 + -259. Are o and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 14) in base 2?\nAnswer: -1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/((-2 - -1) + 2). Suppose -2 - 2 = -2*h - 4*p, 0 = -5*p - 15. Suppose -a = -j - h. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 + 3*b**2 + 5*b - 7. Let u(h) = h**3 + h**2 - h. Let d(x) = 3*x**3 + 3*x**2 - 3. Let o(c) = -d(c) + 2*u(c). Calculate -2*f(z) - 5*o(z).\nAnswer: -z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 9. Suppose 4*p = 5*z - 70, 2*z + z + t*p - 64 = 0. Suppose -66 = -3*a - z. Solve 4*v = -2*f + a, 3*f = -f + 2*v + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13434.\nAnswer: 2, 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8425*v**3 - 75820*v**2 + 67355*v + 40.\nAnswer: 5*(v - 8)*(v - 1)*(1685*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 + -163.35. Let v = -25.5 + g. Let i = 0.2 + -0.6. Which is the smallest value? (a) v (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-1 - 10)) + 19\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 77.04062 years?\nAnswer: 0.07704062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 = 5. Let f(t) = 2*t - 2 + 9 - g*t - 8*t. Let c(r) = -7*r + 6. Let a(x) = -3*c(x) + 2*f(x). Let o(p) = p - 1. Determine a(y) - 3*o(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 + 234. Which is greater: k or -4\/1857?\nAnswer: -4\/1857","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001073175 rounded to 7 dps?\nAnswer: -0.0001073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 7. Let y be (-2 - 10\/(-3))*6. Is k(y) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 452, 677, 902?\n\"Answer: 225*g + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72611 and 39606?\nAnswer: 435666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113\/6 + -19. Let r be ((-4)\/(-6))\/((-10)\/6). Sort -1\/12, r, t in ascending order.\nAnswer: r, t, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000059 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72113 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5075 is divided by 399?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(-2*k - 1 + 1) + 348*k + 320*k - 707*k - 6 to the form l + t*k and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41033, 82109, 123219, 164363, 205541, 246753, 287999?\nAnswer: 329279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + g**2 - 1 - g**2 + 4*g**2 - 2*g**2 + (2*g**2 + 4*g**2 - 4*g**2)*(5 - 2 - 1) + 0 + 3*g**2 + 0 - 1 - 2*g**2 + 1.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5894207 and 6248?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o - 37*o + 11928 = 66*o for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, d: 2, s: 1, m: 3, i: 6}. Give prob of sequence sf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*b - 14*b + 24*b)*(4 + 2 - 3)*(2 - 6 + 1) to d + h*b and give h.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - l - 4. Let q(m) = -8*m. Let h be q(1). Let t(x) = x**2 + 9*x + 5. Let d be t(h). Does 9 divide j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l + 5. Let h be 0*(-4)\/(3 + 1). Suppose -2*p - 4*p = h. Determine g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2 + 7 + d - 4. Let w(x) be the first derivative of 5*x + 86. Let l(t) = 2*p(t) - 3*w(t). Let a(q) = 6*q - 14. Determine 3*a(h) - 8*l(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, w: 1, a: 2, e: 1, z: 1}. Give prob of sequence zhw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22463 and 25672?\nAnswer: 179704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-158)\/(-26) - (2190\/78 + -28)) + (-352)\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 621*n**2 - 71195*n\/4.\nAnswer: -n*(n + 29)*(n + 2455)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371025319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -738669 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2*o**6\/3 - 10*o**3\/3 + 6. What is the third derivative of x(c) wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -48*k**2 - 6. Let d(n) = 623*n**2 + 77. Let q(t) = -6*d(t) - 77*i(t). Let u(y) = -2*y. Calculate u(q(p)).\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229255 and 45435?\nAnswer: 160249245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1099 - 680. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Sort 0, u, -1 in descending order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/13 + 670*j**4\/13 - 68350*j**3\/13 + 1893410*j**2\/13 + 3994560*j\/13 + 2032128\/13 = 0.\nAnswer: -1, 49, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5585*o - 167538. What is z(30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 1:46 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109876919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/((-4)\/36). Let h = j - -8. Suppose t + 2 = -h. Let o(y) = y**3 + 4*y**2 + 2*y + 4. What is o(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -20*a**5 - 6697248*a**4 - 560672171316*a**3 - 1345586690168*a**2 - 1009183655280*a - 224262439200 = 0?\nAnswer: -167430, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 10 = 4*p - 2*p, 4*s - 5*p + 25 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14912 and 714844?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(-58)\/290*10\/(-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 41. Let t(u) = 1447*u**2 - 725*u**2 - 723*u**2. Give r(t(s)).\nAnswer: 4*s**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47124*a**3 - 92533*a**3 + 47843*a**3.\nAnswer: 2434*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -14, 2\/13, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 8*j + 274*j**2 - 274*j**2.\nAnswer: 4*j**3 + 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 5772.\nAnswer: 5772.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 612497057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11730061*o**4 - 8048916?\nAnswer: 46920244*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1579\/3 - 3893\/9. Let m = r - 94. Is 1\/11 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157*f + 27*f - 202*f)*(6*f**2 + 2*f**2 - f**2).\nAnswer: -2324*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + -1.71. Let r = -2 - m. Let h = -33\/5 - -307\/45. What is the closest to 1 in -1, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y - 5. Let b(m) be the third derivative of -m**3 - m**2 + 0 + 7\/24*m**4 + 0*m. Let z(t) = 3*b(t) - 4*c(t). What is the derivative of z(q) wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7621 - 7404. Solve 0 = 197*c - g*c + 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z\/((z*z**(-5))\/z))\/z)*z**8\/z*z**(-2)*z\/(z*z*z\/(z\/z**2)*z)*z*z assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5*g)\/(g\/(g\/(g\/(g\/g**(2\/3)*g)))))**(27\/5))**(-1\/36) assuming g is positive.\nAnswer: g**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.41282mg in micrograms?\nAnswer: 83412.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:57 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9+-23.5\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b - 5. Let m be o(7). Let q be 1 - (-4 + m\/10). Sort 3, q, 0 in ascending order.\nAnswer: 0, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*r + 1239 = 0, 0 = -3*r + r + 6. Suppose 42 = -d*a + 417*a. What is the remainder when 18 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.134 - 28.866. Let x = 33 + k. Let j = 229\/6 + -38. Which is the third biggest value? (a) 0 (b) x (c) 3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(2\/11)*m)\/m*m*m*m))**(-6)*(m**(-3\/5))**(-35))**41 assuming m is positive.\nAnswer: m**(15375\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 23. Let b = 12 - u. Solve h = c + 4 + b, 0 = -h - 3*c - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 7*m**2 - 13*m + 1. Let p be w(-3). Let x(o) = -o - 3. Let l(k) = 2*k + 4. What is p*x(n) + 3*l(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5933 + -5171. Which is greater: w or 0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 2 - 5*m**2 + 5*m**2 + 16*m + 2*m**4 - 15*m to the form v + b*m**4 + f*m**3 + p*m**2 + i*m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-6 + 3 + -1 + sqrt(102)\/sqrt(6) + -5)**2.\nAnswer: 246*sqrt(17) + 28586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 - 4*d + 27. Let h be b(-6). Let i = h + 114. Sort 3, -4, i in decreasing order.\nAnswer: 3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 + 14*h**2 - 20*h**2 + 6*h**2. Let d(l) = -139*l. Determine d(m(z)).\nAnswer: -834*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*q = 86, -5*q + q = 5*s - 87. Suppose -8*y + s = -7*y. Solve -2*h = 4*n - 0 - 2, 2*n - y = 5*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*5 - -1*sqrt(65)*2)\/((-6*sqrt(180)\/sqrt(4) - sqrt(45) - sqrt(45))\/sqrt(9))*3.\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.1 - -16. Let p = -1 - x. Which is the closest to -2\/3? (a) p (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -189 - -1?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 3*y - 2. Let m be c(1). Let w = 1 - 2. Let j = 1 - w. Is m equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 10. Let s be m(-7). Let q be (-5)\/(-15) - s\/6. Suppose 4*h + r - 8 = 0, 2*h + 5*r - 1 - 3 = 0. Put q, 0, h in decreasing order.\nAnswer: h, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076 times 0.11?\nAnswer: -0.00836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 + 1295343*j - 55705296 = 0 for j.\nAnswer: -431824, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 1023080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (12 + -10 + (-1 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13427279*-0.02\nAnswer: -268545.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-49)*(-56 + (-3094)\/68)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12239*r**4 - 15870 wrt r?\nAnswer: -48956*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgrgrha. Give prob of sequence hxg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = i - 0*i + 15, -4*m + 4*i = -28. Suppose 0 = t - 5*u - 8, -2*t + 7 = -3*u - 2. Factor 2 + 2 + t*r**2 + m + 5*r - 4.\nAnswer: (r + 1)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 167026 and 1169182?\nAnswer: 1169182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a. Let p(u) be the second derivative of 2*u**3\/3 + 143*u. What is p(x(v))?\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 9*o**2 - 9*o - 6. Give m(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10714, -19332, -27950, -36568, -45186?\n\"Answer: -8618*w - 2096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4372\/7 at most as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946182?\nAnswer: 2, 3, 31, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5230000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 r when three letters picked without replacement from {x: 9, k: 1, r: 2, m: 7, p: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 + 2*x + x**4 + 0*x + 0 as a*x + l*x**4 + q + m*x**2 + f*x**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 9*m - 15. Let r be x(-6). Suppose 0 = g - r, p - g - 203 = -p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 - 49786*b**3 + 857641812*b**2 - 5592527608198*b + 8311605067882795 = 0. Calculate b.\nAnswer: 2065, 15907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 368*u + 8741. What is k(-24)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-119)\/56*2 - (-12)\/(-16). Let o(u) = 2*u**2 + 10*u + 18. Calculate o(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 4*u**3 - 5*u**3)*((-5 + 4 + 2)*(-1 + 1 + u) + 0*u - 3*u + 5*u - 3 - u + 3).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v - 35. Suppose 761 = -106*r + 231. Calculate b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158574*d**3*v - 18*d**2*v - 29568019*v with respect to d.\nAnswer: 475722*d**2*v - 36*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-21) - 108\/84. What is the biggest value in p, -2\/9, 25\/7, 3\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(10\/24) - (0 + 168\/(-28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0*k + 9*k - 15*k - 4.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1001101?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -99, -220, -389, -606, -871?\n\"Answer: -24*b**2 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 - 4*l - 3. Let n be i(5). Let s = 554 - 523. Let f = n + s. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(6*(-1 + sqrt(1573)) + -4*(sqrt(1573) + 1) + sqrt(1573)*-2 + sqrt(1573) + 4 + sqrt(1573)*2 + 1))**2.\nAnswer: -190080*sqrt(13) + 8168832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -250948000 to the nearest one million.\nAnswer: -251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16313207, 16313205, 16313203, 16313201, 16313199, 16313197?\nAnswer: 16313195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 47*j - 227. What is u(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6*x + 4)*(5*x**4 + 2*x**4 - 5*x**4) + 2*x**4 + x**5 + 0*x**4 + 0*x**5.\nAnswer: -11*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 - 7*r**2 - 13*r + 30. Let l be (1 + 2 + -10)*(-1)\/1. Let h(m) = -2*m**3 + 5*m**2 + 9*m - 20. Give l*h(k) + 5*o(k).\nAnswer: k**3 - 2*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2244\/(-51))\/88*(-2)\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 36950 = -4*j. What is j rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0742 + 579.0742. Let p = s + -579. Which is the fourth biggest value? (a) p (b) -1\/2 (c) 1\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 835819812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 - -35. Let s = v - 256. Which is the third smallest value? (a) s (b) -1 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954*q - 8*q**2 + q**2 + 966*q + 943*q - 2863*q.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 172?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124258279*h**3 - h + 294988963 wrt h.\nAnswer: -372774837*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200764717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4662+-272694346\nAnswer: -272694346.4662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (7 + (93 - (-12 + -14)))\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133*o**5 + 10 + 257*o**3 - 5*o**2 - 257*o**3 wrt o?\nAnswer: 7980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:10 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 650, 5244, 17756, 42158, 82422?\n\"Answer: 662*z**3 - 13*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5683 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 - -4.4. Which is the nearest to z? (a) 2 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54180)\/69230*6*23\/(-4)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 487.94 + -492. Let a = 0.06 + x. Let v = a + 3. Is -1\/2 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017122 take away -22?\nAnswer: 21.982878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 74.2. Let i = q - 8.7. What is the nearest to -10\/3 in -3, i, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 + -0.1. Let q = -14\/85 - 4\/17. What is the closest to -1 in q, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 32*j**2 + j - 1. Let d be a(-1). Let f = d - 268. Round f to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - z - 770*z**2.\nAnswer: -770*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -18)\/(-4 + 22\/5). Suppose 0 = -8*n + 34 + f. What is the least common multiple of n and ((-9)\/6)\/((-1)\/16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucc when three letters picked without replacement from ccccccucucc.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d - 3*d)*(165 - 106*d - 328 + 163).\nAnswer: 106*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 + 17*x**2 - 9*x - 44. Let i(q) = 4*q**3 + 17*q**2 - 9*q - 43. Suppose 3*d + 11 = -7. Let f(z) = d*i(z) + 5*r(z). Is f(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*g, 2*q - 20 = 4*q + 4*g. Let r be (q\/10)\/((-11)\/((-110)\/(-12))). What is the closest to r in 2, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {i: 4, x: 16}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:22 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - o - 2. Let y be v(-2). Suppose -2*x - 3*f + y + 7 = 0, 3*x - 72 = 4*f. Calculate the remainder when x is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 3, l: 1, y: 1, u: 4, m: 2}. Give prob of picking 1 m, 1 l, and 1 r.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15 = 0, -3*p = -2*i + 6*i - 24. Solve -24*v = -25*v + p, 0 = -5*o + 2*v - 33 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let g(u) = u**3 + 4*u**2 - 2*u + 4. Let v(n) = 4*n**3 + 22*n**2 - 11*n + 22. Let k(a) = -11*g(a) + 2*v(a). Calculate k(w) + 2*t(w).\nAnswer: -3*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - j + 2*j + 21 = 0, 2*f + 3*j + 7 = 0. Sort 1, -1, f in descending order.\nAnswer: f, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 1880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 3280 - 3672 - 6088 = 0. What is the least common multiple of c and 360?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9 + 10\/3. Let i be 1 + 2*x\/(-15). Let y = 0.1 - 0.3. What is the second smallest value in y, i, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/(-18))\/8)\/5*(-950)\/(-57)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32232022 - -200?\nAnswer: -32231222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 9*x + 25. Let f(o) = -4*o - 12. Determine -5*f(t) - 2*j(t).\nAnswer: 2*t**2 + 2*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 8*p**2 - 8*p - 13. Is w(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 146575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 7604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 264 = -4*h + 186, -h - 6 = 0. Solve 209*x + k = 218*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871 = 56*q + 143 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-4*(25\/(-5))\/20*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5777*l + 7827*l - 5161*l + 6203*l to the form x + p*l and give p.\nAnswer: 14646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 72, 4, 6\/19?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8353384 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 - 515. Let w = y + 4496\/21. Which is the closest to -1\/4? (a) -0.05 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4 (base 12) to base 14.\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihiwdyyxyhdwdi. Give prob of sequence hhy.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (1 + -14 - -14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637382?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 51 - 12*z)*(-z**2 - 3*z**2 + 3*z**2).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 383 = -8*o + j, 0 = -o - 4*j + 132. Calculate the greatest common divisor of o and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -1. Let m be ((-334)\/24)\/((-17)\/9). Let n = m - 29\/4. What is the nearest to 0.1 in -1\/10, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-2)*15\/60.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4 + 2. Let j be (-6)\/t - (-9)\/(-2). Let v = 367\/5 + -73. Put j, -4\/9, v in decreasing order.\nAnswer: v, -4\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419862 or 419695?\nAnswer: 419695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3644\/2733)\/(6\/(-4))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-270)*(-2)\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/k*k)\/(k*(k*k*(k\/k**(-1\/5))\/k)\/k)*((k**(-6)\/k)\/k)\/k**(5\/7) assuming k is positive.\nAnswer: k**(-729\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.5. Let f = -5.26 + 1.53. Let z = f - -3.83. Which is the third biggest value? (a) -0.3 (b) u (c) 2\/3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 1. Let k = 84 + q. Let d = 89.63 - k. What is d rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130017390 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-376650)\/(-14580))\/(15\/72)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 822, 820, 818, 816, 814, 812?\n\"Answer: -2*d + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7441 + -7432. Is 3\/44 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -1\/24*z**4 - 2*z**2 + 0 + 1\/2*z**3 + 0*z. Suppose 3*y - y = 10. Determine b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from daxxxes?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/2 (b) 0.07 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1707 and 2163.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3419*c - 8. What is h(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21718.\nAnswer: 2, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -436?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5960676098.\nAnswer: -5960676095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 618804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 625 + 115 = -5*d, -4*d = z - 133. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, and 1 k when three letters picked without replacement from {b: 2, e: 1, k: 7, o: 2, q: 6}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1\/4 (c) -3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15081 is divided by 7537.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -3*w**5\/10 + 1045*w**4\/4 + 523*w**3\/2 + 133*w - 13. Let l(b) = 0. What is b?\nAnswer: -1\/2, 0, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10307844 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 2. Let h(f) be the second derivative of -f**3\/2 - 3*f**2\/2 + 2*f. Let g = 6 - 1. Calculate g*h(l) + 7*z(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88165*a**4 + 44651.\nAnswer: -352660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -6*a**5 - 122*a**4 - 808*a**3 - 1792*a**2 - 512*a = 0.\nAnswer: -8, -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 + -2. What is the biggest value in b, 0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252480397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616890 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1697472 and 1008?\nAnswer: 1697472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 276?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 89.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/55 + (-13)\/65. Let k(p) = 14*p + 13. What is k(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*p**4 - 3 + (-p**2 - p**2 + p**2)*(0*p**2 - 2*p**2 + p**2) + (2*p**4 + 2*p**2 - 2*p**2)*(-1 - 2 + 6).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -25*y**2 + 5*y + 2. Let j(k) = 2*k + 233. Give m(j(o)).\nAnswer: -100*o**2 - 23290*o - 1356058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2442 = -8*u. Let x = -31 + u. What are the prime factors of x?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6\/13, 0.2, 23, -5?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/9 and -145\/4086.\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-5))\/((-45)\/1350))\/(4*2\/68)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183415 = 11*r - 176604. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12332787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, a: 4, q: 2}. What is prob of sequence eaaq?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by -6\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-4)\/((-16)\/1))\/(5\/(-2)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**3 - 2*s**2 + 103201*s + 260822 wrt s.\nAnswer: -6*s**2 - 4*s + 103201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -575.3. Let i = l - 571. Which is the nearest to i? (a) -2 (b) 1\/6 (c) 1\/5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:50 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Let p be ((-4)\/3)\/((-2)\/z). Suppose -7 = -m + b, 0 = m - 6*b + p*b - 1. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-12) + -1 + 45\/18. Solve a = -6*l + 9 - 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0 - 28\/33*i**3 + 7\/33*i**4 + 23\/110*i**5 - 2\/15*i**6 + 8\/11*i**2 + 5\/231*i**7 + 35*i. Solve u(t) = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 29. Suppose 4 = -4*t, 3*t - r - 29 = -3*s. Let g(p) = p**2 - p - 3. Let f be g(-6). What is the highest common factor of f and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - 1615*l**3 - 5*l + 13*l.\nAnswer: -1615*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/247 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 42 = -54. Solve 0 = -2*x + 3*x - y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 44*j**3 - 15065*j**2 + 18900310*j - 7906625495. Let o(r) = -26*r**3 + 7533*r**2 - 9450156*r + 3953312747. Let t(m) = 3*h(m) + 5*o(m). Factor t(g).\nAnswer: 2*(g - 1255)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - (sqrt(847) + 4 + sqrt(847))**2*-3 - (-1*sqrt(112) + -1).\nAnswer: 543*sqrt(7) + 10213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 2*n + 26, -26*g - 609 = -30*g + 378*n + 541 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1397 and 1133?\nAnswer: -1582801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404 + -613.\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617518376 to the nearest integer?\nAnswer: 24850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 14. What is u(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 368.81802 + 0.08198. Let t = -369 + x. Let y = 0 - 2. Which is the closest to 0.1? (a) 0.1 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -1.45. Let q = 56.3 + -52. Let n = t + q. Sort n, -3\/7, 0.3.\nAnswer: -3\/7, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q**3 + 1495*q**2 - 1495*q**2 + (-10 + 2 - 17)*(2*q**3 + 4*q**3 - 3*q**3) to v*q**3 + z*q**2 + r + h*q and give v.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36136 - -90?\nAnswer: -36056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42, -29, 8, 81, 202?\n\"Answer: 2*g**3 - g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1145 - 19 = -5*q, -q - 230 = 3*v. Let g = 919\/4 + q. Which is smaller: g or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000053699533 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 206 + -109. What is the common denominator of -1*x*(-4)\/16 and 23\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -9*d - 688. Let k = d + 68. Calculate the greatest common divisor of 49 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**7\/525 - 3*q**6\/100 - 7*q**5\/75 - q**2 + 24*q. Let s(i) = 0. What is i?\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 16*x + 1. Let s be k(15). Let h = s + 24. What is the least common multiple of 32 and h?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71689115051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35114806 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Suppose 2*b - 224 = -3*i, 152 = 2*i + 2*b + 2*b. Let l(r) = 57*r**2 - 74*r + i*r. What is l(g(p))?\nAnswer: 228*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (141\/(-94))\/((-6)\/(-28))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 952 = 1148. What is the greatest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*f - 80, 2*u = 5*f - 23 - 87. Suppose 63 = 5*c - 3*w, -3*w + 62 = 2*c + f. Calculate the remainder when 1\/(-3)*-29*3 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x + 116 = -36 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + 7354b?\nAnswer: 7353b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2335 - -2405. What is the greatest common divisor of 266 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {b: 1, l: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from {t: 1, o: 2, m: 7, w: 1, k: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 14*l - 36. Let w be n(-11). Let h = 142 - 149. Let m(a) = -a + 0*a - 3*a. Let y(s) = 2*s. Calculate h*y(i) + w*m(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11964)\/997)\/((-25)\/(-1)*-2)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 57. Suppose -2*h + n = -2*q - 2, -2*h = -q - 6. Solve 9 = i - q*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -z - 40. Let u(a) be the third derivative of a**2 + 0*a**3 + 0*a - 1\/180*a**6 + 1\/252*a**z + 0 + 0*a**5 - 1\/315*a**7 + 0*a**4. Factor u(p).\nAnswer: 2*p**3*(p - 1)*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:46 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -34*p + p. Let t be -4*(36\/16 - 1). Sort p, -4, -2, t.\nAnswer: p, t, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**4\/12 - h**3\/6 + 81*h**2. Suppose 2*d - 6*f = -f - 29, 2*f - 2 = -4*d. Let m(j) = j**2 - 1. Let q be m(d). What is p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11991*t - 11030*t + 7691*t.\nAnswer: -15330*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrfrhum. What is prob of sequence frr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101750932, 203501866, 305252800?\n\"Answer: 101750934*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*h = -136*h - 560. Let z be -3 + (-552)\/h - 6. Find d such that 8\/7*d + 0 - 1\/7*d**5 - z*d**3 + 5\/7*d**4 - 4\/7*d**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoho when four letters picked without replacement from hooooohooohoohoooo?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 36. Let h(p) = 3*p**3 + 15*p**2 + 7*p + 14. Let t(c) = c**3 + c**2 - c + 1. Let r(z) = -h(z) + 4*t(z). Does 2 divide r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.92 + -17?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 11:47 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*t + 5452 - 6964 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11933, 11934, 11935, 11936, 11937?\n\"Answer: i + 11932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 94 * -316.3\nAnswer: -29732.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = -115. Let v be 7\/((-14)\/12) + 3. Is (4 - 2) + v + z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**2. Let b(g) = 7*g**2 - 4*g. Let j(r) = 27*r**2 - 15*r. Let w(o) = 15*b(o) - 4*j(o). What is m(w(t))?\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - (0 - (-2 + 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(119)*-3)\/sqrt(7) + sqrt(17) - (sqrt(17) - sqrt(68)\/sqrt(4))*4) + -4)**2.\nAnswer: 12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + -52. What is l rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*806759.\nAnswer: 161351.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 9*p, -12*u + 68 = -8*u - 4*p. Let g(x) = 83*x**2 - x + 2. What is the remainder when g(2) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w - 735*w**2 + 754*w**2 - 2*w as l + t*w + c*w**2 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2689 + -0.0374\nAnswer: 2688.9626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0.4, 4.438 in increasing order.\nAnswer: 3\/8, 0.4, 4.438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbwmbwbmw. What is prob of sequence bmb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202 + 285. Let b = -84.4 + m. Let l = 0.5 - 0.5. Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/295, 5, 4, -27\/5, -5 in ascending order.\nAnswer: -27\/5, -5, -6\/295, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2200112102?\nAnswer: 2200112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 13. Let y be i(10). Suppose y*m - 3*j = -4 - 35, -2*m - 31 = -j. List the prime factors of m\/(1 - (-20)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84273 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = n - 4, -16 = 2*t - 2*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*g = -11 + 6, u + 2*u + 15 = 27*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 157868400?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274 + 116. Let c be i\/(-18) - (-6)\/27. Let s = c + -4. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5234 = -3*b, 5*x + 10 - 5 = 0. What is the highest common divisor of 54 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 716235569 to the nearest integer?\nAnswer: 26763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-5\/11)\/(k**(-1\/2))**(-32) assuming k is positive.\nAnswer: k**(-181\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.488 + 1.6. Let i = q - 0.012. Which is the third smallest value? (a) i (b) -3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/21)\/((-5)\/(16035\/(-2))). Let b = q + -153. Suppose 4*l + l = -15. Put l, b, 0.04 in ascending order.\nAnswer: l, b, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (9 - 3) + -3 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -1838, 2\/5, -0.4 in decreasing order.\nAnswer: 2\/5, -2\/15, -0.4, -1838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5698*-0.37\nAnswer: 2108.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1249909976 by 312477494.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38065 = -15*c - 8470. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/2587 + 2581\/7761. Is -813 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 7*w**2 - 2*w + 27. Let k be v(-6). Let i be ((-1)\/k)\/((-1)\/3). Let y(b) = 9*b**3 + b**2 - 1. Determine y(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 304 = -25*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q + 80. Calculate k(25).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -13?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4065365*j - 1982799 wrt j.\nAnswer: -4065365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3294 - -3299. Solve d*i = -128 + 153 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*f + 62 - 8*f - 2*f)*(-24*f + 16*f - 10*f - 26*f).\nAnswer: -44*f**2 - 2728*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 393943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5 - 48*t**4 + 14*t**3 + 324*t**2 - 288*t = 0.\nAnswer: -24, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -575458 (base 11) to base 2.\nAnswer: -11011111011000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3699638 is divided by 3737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*w + 15, y = -4*y - 5*w + 25. Let k be (-1 + 0 + 1)\/2 - 55. What is the least common multiple of y and 10\/k - (-13)\/11 - -11?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 16*k**2 + 21*k + 3. Is a(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 + 4.04. Suppose 105*f = 106*f - 4, -4*n = -2*f + 16. What is the third biggest value in n, 4, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 3. Let x be v(3). What is the units digit of 2*5 + x + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/9*3\/(-2). Solve 5*l - u - 3 + x = 0, -2*l - 2 = -u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:46 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06217 + 0.063. What is s rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 8*j**2 + 3*j - 10. Let g be d(4). Put 7, -5, g, 1 in descending order.\nAnswer: 7, g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -54. Let d(k) = -k**2 - k - 59. Let y(g) = 2*g**2 + 2*g + 89. Let j(i) = r*d(i) - 5*y(i). What is the derivative of j(c) wrt c?\nAnswer: -6*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 - 22*h**2 + 2*h - 24. Let f be r(-7). Suppose 7*j = 63 - 7. Calculate the greatest common divisor of j and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1039 - 991. Calculate the smallest common multiple of t and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five eighths of a millimeter?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/((-1024)\/(-40))*(-14)\/(-1)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37\/3 + (-4)\/(-6). Suppose 2 = -5*g - x. Let b = 0.85 + -1.85. What is the nearest to b in 2, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460098 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -158. Suppose 2 = t + 3, -4*t = b - d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/8*(-1)\/(-10). Let l(y) be the second derivative of -t*y**5 + 0*y**3 - 1\/2*y**2 + y + 0*y**4 + 0. Differentiate l(c) wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 801, 809, 833, 879, 953, 1061, 1209, 1403?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -t + 1838, 3*t = -4*v + v + 5523. Suppose 5*a - 9280 = -5*r, t = r - a - a. What are the prime factors of r?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -43. What is the remainder when 46 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 1. Let o(a) = -9*a - 28. Let w be o(t). Let k = w + -24. What is the remainder when 37 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 17*u**2 - u + 13. Let m(p) = -4*p**2 - 3. Suppose -5*r = -5*d - 4*r + 6, -4*d + 5*r = 12. Let j = 27 + -18. Calculate d*w(o) + j*m(o).\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582427?\nAnswer: 582427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((6 - 3) + 4 + -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxqgiixpp. Give prob of picking 1 q and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 1 l when three letters picked without replacement from {u: 1, v: 2, a: 7, i: 2, f: 1, l: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 132 + 66 = 2*f, 495 = 5*f + 4*h. Let m = 205 - f. Suppose l - i = 114, m = l + i - 10. List the prime factors of l.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.432 - 0.068. What is the third biggest value in 4, n, -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21225218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24489 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z - 1. Suppose 2 = -9*a - 115. Let f(j) = 15*j - 2. Let i(x) = a*y(x) + 6*f(x). What is i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 11*a + 22*a - 117040. List the prime factors of a.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1093710 is divided by 72913?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z, m + m = -z - 176. Let k = 134363 - 134367. Sort m, k, 2, 1 in ascending order.\nAnswer: m, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - 51\/(-15). Let c be (0\/((-3)\/t))\/2. Solve -y + 4*y - 6 = c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 (base 14) in base 12?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 49. Let r(y) = -41*y - 137. Determine r(a(h)).\nAnswer: 82*h + 1872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406737.\nAnswer: 3, 43, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 27. Let d be f(10). Let z be -5 - 0 - (0 - -1). Let i be (4\/z)\/((-8)\/36). Solve 5*s + d*b = 8, 3*s - b - i = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282166?\nAnswer: 2, 17, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2364 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*f + 8*f. Let s(o) = 305*o - 3 - 39*o + f - 4. Let v be s(-9). Round v to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + 3.2. Let j = p + -3. Let t = 0.992 - j. Round t to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8247\/340, 4, 0, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47493\/28 - 15914\/7. Let g = y + 7205\/12. What is the common denominator of 59\/2 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 8*h**2 + 41*h + 99. What is the remainder when 626 is divided by r(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2. Let n be ((-5)\/15)\/((-2)\/30). Let u = 9 - n. Let g(j) = -u + 2*j + 4. Determine f(g(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -95252.18 bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)\/(b\/(((b**(1\/26)\/b)\/b)\/b))*(b\/(b*b**(9\/4)*b))\/(b\/(b*b\/b**(1\/3)*b)) assuming b is positive.\nAnswer: b**(-1333\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -735570 in descending order.\nAnswer: 6, -5, -735570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojs when three letters picked without replacement from {o: 1, t: 1, s: 2, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 34*t**2 - 32*t + 212. Calculate the remainder when s(-35) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 39*f + 422. Calculate q(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 180757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/18)\/1)\/(4\/(-16))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/((p*p*p**(-1\/3)\/p*p)\/p))\/p)\/p)**33)**(-28) assuming p is positive.\nAnswer: p**616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (-616)\/40)\/((-1)\/(-5)). Do x and -89 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4414 (base 13) to base 3.\nAnswer: -111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 36*a - 78*a - 82*a.\nAnswer: -130*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 203 (b) -0.07 (c) 2 (d) 1\/2 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.279489 millennia?\nAnswer: 8279.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:13 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46346 is divided by 1155?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 66 + 5 = i, 0 = -a - 4*i + 53. Let w = -22 + a. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 676*x**2 + 3896*x + 72384.\nAnswer: -4*(x - 13)*(x + 8)*(x + 174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = -3*h, -r - 5*h - 4 = 3*r. Let c be 6\/(7 + -4)*r. Is c >= -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4003*c**5*d + 1325*c**3*d**2 - 2*c**2*d**2 + c**2 - 3*c*d**2 + d**2 + 11314 wrt c?\nAnswer: -240180*c**2*d + 7950*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 301*d - 5. Let k be (2 - 7\/(-4))*4. Let u be ((-4)\/6)\/((-2)\/k). Let r be p(u). What is r rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3182222 and 21.8.\nAnswer: -3182200.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 64 = -4*q, x + 6 = q - 24. Let a = x - -18. What is the units digit of -6*(a\/3 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 1, 4, -9089 in descending order.\nAnswer: 4, 1, -1, -6, -9089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24396569*d**2 + 3*d - 223991123 wrt d.\nAnswer: 48793138*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15585 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 5024?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-2)\/40)\/(12\/(-48)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - p - 5*p + (10 - 5 + 1)*(p - 5*p + 3*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*b - 5555 + 5489 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1219.\nAnswer: 121.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1637 and -434.\nAnswer: -710458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03033 - 0.03033. Which is the fifth biggest value? (a) -165 (b) -1 (c) -2\/9 (d) 2\/3 (e) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*s + 4*s - 4*s)*(-3 + 3 + 2*s) as g + n*s + t*s**2 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-1134))\/((-5)\/(-90))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 + 2\/9*b**2 + 26\/9*b.\nAnswer: 2*(b + 4)*(b + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5460 (base 8) to base 3\nAnswer: 10221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 48050*k - 5155. Is v(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 40*z - 364 = -12*z - 2374 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l - 69. Let s(c) = -c**2 - 18*c + 18. Let b be s(-19). Let t(k) = -31*k**3 + k**2 - 1. Calculate the remainder when w(17) is divided by t(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 + 279*z - 285. What is j(39)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -16*t**2 + 10*t - 10. Let p(k) = -5*k**2 + 3*k - 3. Let r(h) = -3*i(h) + 10*p(h). Let q(y) = -3*y + 3*y - y. Calculate r(q(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2916\/3*2\/(-10). Let y = 19807\/105 + o. Let l = y + 38\/7. Is l bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7739592 kilometers to meters.\nAnswer: 773.9592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -112. Calculate the remainder when 75 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3113255 or 3113254?\nAnswer: 3113255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -156\/1145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 7, -84, -2 in decreasing order.\nAnswer: 7, 5, 1, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five quarters of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15195 - -15203. Put 3, j, -5, 0 in descending order.\nAnswer: j, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 0*f = 70 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2968204 is divided by 6187.\nAnswer: 4631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 29 + 35 = 0. Suppose -r + 6 = -j. Differentiate -16 + j + 13*o**3 + 18 with respect to o.\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let l be 0*((-3 - -6) + -2). Let y(f) be the second derivative of 49\/6*f**3 - 13*f + 0 + l*f**2. What is y(i(r))?\nAnswer: 49*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 6*z + 23, -35*z = -34*z + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114a173 (base 13) to base 5.\nAnswer: 2331201304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 41, 3, 88\/5 in increasing order.\nAnswer: 1\/6, 3, 88\/5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 83 (b) 3\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1238, 4937, 11096, 19709, 30770, 44273?\n\"Answer: -l**3 + 1236*l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0*y + 2\/3*y**3 - 9\/8*y**4 + 0 - 5*y**2. Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 116*u - 18, 3*y + 156789*u - 27 = 156784*u for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*y + 80, 0 = -3*w + 2*y + 174 + 80. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 4:44 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1376 + 1375. Sort -4, 1, -10, i in ascending order.\nAnswer: -10, -4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 1760?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -15*a**2. Let z(d) = -13*d - 4. Suppose -18 = -8*p + 17*p. Let b(r) = -781*r - 242. Let c(t) = p*b(t) + 121*z(t). What is c(i(w))?\nAnswer: 165*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let s = -13 + 21. Suppose 6*g - 37 - 11 = 0. Let c(z) = -s - 8*z + g. Determine c(f(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1877*s - 678*s**2 + 82*s**2 - 727*s - 2*s**4 wrt s?\nAnswer: -24*s**2 - 1192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 1. Let s(f) = 5*f - 3. Let n(h) = 2*s(h) - 9*y(h). Let l be n(-6). Let p be (l - -7 - 0)*1. Solve -p*m + 20 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6051 + 6051 + 10*c**2 + 40*c**4 + 2*c**3 wrt c.\nAnswer: 960*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68*r*v**2*w + 182*r*v*w**2 - 5*r*w**2 - 2538*r + 2 wrt v?\nAnswer: 136*r*v*w + 182*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 6*d**2)*(3*d + 2*d - 4*d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from clcccaalacaallc?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.063 + 0.037. Which is the second smallest value? (a) -3\/8 (b) 1.5 (c) r (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-4))\/((-4)\/(-8)). Let z = j + -3. Find the third derivative of 5*q**3 + 3*q**2 - z*q**3 + 0*q**3 - 2*q**3 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f - 31*f - 279 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 8*j**2 - j**3 + 448 + 1643 + 5*j.\nAnswer: -j**3 - 8*j**2 + j + 2091","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 5*b - 24. Let h be -2*(0 - (-14)\/(-4)). Let g = b + h. Which is greater: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/7)*i*i\/i**(2\/9) assuming i is positive.\nAnswer: i**(85\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/117)\/(1\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/72)*d))\/(d*d**15\/d*d)*(d**(-50)\/d)\/(d*d*d**(-9)\/d) assuming d is positive.\nAnswer: d**(-4321\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4746247 litres in millilitres?\nAnswer: 474.6247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1429786491 to the nearest integer?\nAnswer: 37813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11413239 and 447578.\nAnswer: 22826478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*b - 5. Let z(r) = -r**2 + 3*r - 2. What is z(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*l = 42, l - 50 + 4 = -3*t. What is the remainder when 41 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 23. Suppose -3*y + 5 + q = 0. Suppose -15 = y*l, 1199985 = -4*p - 0*p + 5*l. What is p rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 2, 1, -2, -7?\n\"Answer: -p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -316046.4 to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -101. Let l be (4\/(-60))\/(1 + r\/27). Put l, 0, -1 in ascending order.\nAnswer: -1, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1594*u - 1594*u + 3191*u = -30 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -585.6 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37549590 plus 0.018?\nAnswer: -37549589.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*a = -19*a - 663 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411636969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**5 + 4*b**5 + 3*b**5)*(-3 - 1 - 1)*(-11 - 4 - 12).\nAnswer: 270*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32967 + -32966.5. Let n = -54.961 + -0.039. Sort n, -4, l.\nAnswer: n, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/56 - (-5)\/7. Suppose 2*a = -4*y + 162, a = 2*a - p. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1 (c) 10 (d) 8 (e) -2885 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 45 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2. Let t(q) be the first derivative of -2*q**5\/5 - 67*q**2\/2 - 38. Let b(s) be the second derivative of t(s). Calculate b(c(m)).\nAnswer: -96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.9448 to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x**2 + 14180*x - 181636 = 0.\nAnswer: 13, 3493\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j. Let c(d) be the first derivative of 2*d**3\/3 - 11. Determine s(c(p)).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 4. Suppose 7*i - 2 = 6*i. Let j = c - i. What is the lowest common multiple of j and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Suppose j + 5*n + 4 = f*n, -2*j + n = -2. Suppose j = -z + 3 + 4. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-70)\/4)\/7. Suppose -4*s - 5*y - r = 0, 2*y - 5*y - 3 = s. Suppose s = -i + 3*i + 2*i. Solve -5*x - 2*p - p = 35, 5*p + 25 = i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.7 + -4.7. Sort 1\/4, r, -1 in ascending order.\nAnswer: -1, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 0.1766, -4, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (0 + 1))\/2*1. Suppose s = -z - 0*z. Which is greater: z or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -343, -700, -1067, -1450, -1855, -2288, -2755, -3262?\n\"Answer: -u**3 + u**2 - 353*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 11*b**2 + 10*b + 12. Let r be h(10). Let q = r - 18. Let g = q - -13. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 8. Let y = x - 1. Calculate the highest common factor of 2 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-158)\/8 + 2\/(-8). Let r = m - -154. What are the prime factors of r?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13136206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2 - 5. Let n be (-1)\/(-4) - (-195)\/20. Let o(u) = 9*u + n*u - 4*u. What is o(a(l))?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680884974 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 475.97875 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:46 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/2 - (-280)\/50.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + q**3 + 6*q**3 - 7*q**3 + q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 26*k - 588 = 0. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-147)*28\/8. Put -0.4, c, -3\/8 in decreasing order.\nAnswer: -3\/8, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112\/17 + -1559\/136. What is the common denominator of (-270)\/(-52) - (2 - 4\/4) and b?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r**2*r*((r*r**(-5)*r)\/r*r*r)\/r*r**(-1\/5)*r)\/(((r**4*r)\/(r*r**(-1\/2)))\/(r\/(r\/(r**0\/r)))**(3\/17)) assuming r is positive.\nAnswer: r**(-5591\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001111011000100 + -1?\nAnswer: -10001001111011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-18)*((-36)\/(-32))\/(-3). What is the biggest value in -0.062, n, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -1)\/((-247)\/(-2)). Let r be 2312\/52*59\/(-76). Let q = r - y. What is the common denominator of q and -29\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753 is divided by 428?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:10 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 25*m + 29. Let r be c(-26). Let f(d) = -2*d**2 + 1 + 3*d + 2*d + 5*d**3 - 4. What is the units digit of f(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -356.2 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c - 4. Let h be t(-1). Suppose -p + 4*w = -h, p - 5*p + 5*w = -21. Sort -3, -2, 2, p in descending order.\nAnswer: p, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 1. Let j = 0.3 - q. Let c be 35\/350*20\/(-8). What is the second biggest value in j, 3, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1664*f. Let x(c) = 37*c. Let i(w) = -5*a(w) + 224*x(w). Let j(u) be the first derivative of -2*u**3\/3 + 3717. What is i(j(z))?\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - 140.75. Let n = b + -1.25000685. Round n to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = -2. Suppose 0 = r + 1 + 1. Suppose 3 = -3*z - 6. Put r, z, a in descending order.\nAnswer: a, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -2 (c) 1\/6 (d) -4 (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000174 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -294246 <= -294208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4\/3 (b) 5 (c) -1 (d) -4 (e) 6 (f) -70\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.252038 rounded to 2 dps?\nAnswer: 21.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4264 by -5502.\nAnswer: 2132\/2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) -1 (c) 82 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:06 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -22742827 >= -22742827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3768*z + 7531. Let l be w(-2). Let b(t) = 3 - 2*t + 4 - 3. Determine b(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/3 + 16*i + 54 = 0.\nAnswer: -3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24844, -99310, -223434, -397228, -620704?\nAnswer: -893874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roooroooorrorooo. Give prob of picking 1 r and 2 o.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347024 divided by 14?\nAnswer: -96216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -22, -15, -6?\n\"Answer: w**2 + 2*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/1127*(-1498)\/12 - 2\/(-7). What is the fourth biggest value in m, 1, 1.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000055444 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 2549 - 6171 = 0. Let h = 1286 + b. Does 17 divide h\/12 + (-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in 0, -4, -0.03, -5, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 0*o + 2*o + 7*o**2 + 2*o + 1. What is g(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320201 (base 4) in base 12?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2365*n**2. Let d be k(-3). Suppose -3*x = 2*z - 21310, -2*z - z = -3*x + d. What is x rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-326*z + 501*z + 608*z)*(4*z - 2 + z**2 + 0*z - 3*z**2) to the form v*z**2 + m*z**3 + q*z + o and give v.\nAnswer: 3132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*17\/136*-25.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 + 4*h + 3. Let u be d(5). Let z be 4\/u*(-9)\/18. Calculate the least common multiple of 6 and z - (-15 + (3 - 3)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10262844*i**6*q**2 - 5*i**3*q**2 - 312*i**2*q**2 - 2*i**2*q - 3995*i**2 wrt i?\nAnswer: 1231541280*i**3*q**2 - 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462, -1012, -1646, -2364, -3166, -4052, -5022?\nAnswer: -6076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 176000, -2, -7 in ascending order.\nAnswer: -7, -3, -2, 176000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 0 = 77. Let k(h) = -2*h**2 + 16*h - w*h - 9*h. Let a(s) = 18*s**2. Determine k(a(r)).\nAnswer: -648*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 m when three letters picked without replacement from reezemzeermmekrkwmmm.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2785 = -30*u + 2935. Let n = -33\/148 + -1\/37. Which is the closest to n? (a) -3 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2545\/4 - -628. Find the common denominator of (-72)\/(-3) + 1\/2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.278, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*p - 2*p = 526, 0 = -2*p - 10. Let w = m + -80. Suppose -2*j - w = -3*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 66 = j + 3*w, 3*j = -3*w + 198. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 7. Let p be n(6). Let s be p\/(-3*2\/(-12)). Suppose s = -2*y - 0*y. What is the third smallest value in -2\/5, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*t - 52 = 0, 33 + 71 = -4*q - 3*t. Let w = -27 - q. Suppose -5*x + 3*f + f = 26, 4*f = 2*x + 20. Which is bigger: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 34)*(-4 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85651 divided by 3.\nAnswer: 85651\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 2025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 916*o + 917*o - 26 = 0, -4*o = -5*n - 53 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -238950, 9 in decreasing order.\nAnswer: 9, 3, -238950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 623997 and 2292.\nAnswer: 2495988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(104)\/(sqrt(10)\/sqrt(5)) - (sqrt(3328) + 1 + sqrt(3328))).\nAnswer: -30*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 63 + 3*w - 29 - 35. Determine y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 98001203, 196002406, 294003609, 392004812?\n\"Answer: 98001203*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213484 divided by -53371.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*p**3\/3 + 101*p**2 + 3118*p\/3 + 936.\nAnswer: -(p - 52)*(p + 1)*(7*p + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -1\/4, 0.3, -2\/13, 24\/877, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 16*s - 50. Suppose 10 = 4*u + s. Solve u = -4*f + 32 - 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**9\/o)*o*(o\/(o\/(o*o**8)))\/o*o**(2\/15)\/(o**7*o) assuming o is positive.\nAnswer: o**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91814, -91788, -91762, -91736, -91710?\n\"Answer: 26*x - 91840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 92*r + 70. What is the lowest common multiple of 18 and c(6)?\nAnswer: 5598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 1 + 18)*(-3 + 2 + 2)*(-l - 34 + 34) - 4*l + 4*l + 2*l as w*l + j and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = d, 0 = -9*d + 4*d - 4*p - 81. Let x = 1 - d. Suppose -3*g + 3*w = -9, -7 - 10 = -3*g - 5*w. Solve 5*h - 30 = 5*j, -g*j = h - 5 + x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523014 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 - -1118?\nAnswer: 10b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = 2*b, -2*b - 10 = -0*r - 4*r. Suppose 19 = -s + 5*z, 1 = -r*s + 3*z - 8*z. Let p = 0.02 - 2.02. What is the nearest to -0.1 in s, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 14*d + 864 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from neenqnnnnnnqnne?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 35*w + 50. What is a(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:32 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*s - 43*s - 124*s - 104*s - 114*s.\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 49 = 65 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 + 0 = 0. Solve 4*i + 2*l + 10 = 36, 0 = k*l - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1104436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1266154104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-26)\/(-22) + (-73455)\/165. Let x = -429 - k. Calculate the highest common factor of 800 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218960 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from ayasaysa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-136))\/1*(43648\/186)\/88.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((-6 - 41) + 22 - -46)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 14*s**2 - 5*s + 5. Let a be d(2). Suppose 5*j - 143 = 4*r + 58, 0 = -3*r + 3*j - 147. Let z = a + r. Solve w - 7 = -3*k, -z*k + 2 = -5*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 12*y**2 - 4 + 35*y**2.\nAnswer: 23*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*d - 15, -26*z + 30*z - 20 = 0. Let h(b) = -20*b**2 + 8*b**2 + 4*b**2 - 2*b + 3*b**3 + 9*b**d + 2*b**3. Give h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((96\/(-5))\/2)\/((-19)\/(-1045)). Let o = q + 854. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/(-252) + 12\/(-108) + (-1350)\/(-1260).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 + -96 + 95 + (-3 - 4) + -74.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 120912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4.15. Let u = -0.15014 + b. What is u rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 17. Calculate g(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10219 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-11)\/((-165)\/21546) + (-4)\/10. What is the greatest common divisor of a and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Suppose 0*k = -k + 3. Suppose 5*y - 8 = -k. Put -2, y, z in descending order.\nAnswer: y, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmjs when four letters picked without replacement from {j: 10, d: 2, f: 2, m: 1, s: 1}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - 12 = 138. Let m = -4 + 6. List the prime factors of (a - 2)*m\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose -q*a - 17 = -68. Suppose 2*w = a - 1. What is the remainder when 23 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/2 + 21*y**4\/2 + 3*y**3\/2 - 61*y**2\/2 - 21*y = 0. What is y?\nAnswer: -1, 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 220*l - 24200.\nAnswer: -(l + 220)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000111110010000 + 111000?\nAnswer: 101000111111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**27\/((r*r**(-11\/5)\/r)\/r) assuming r is positive.\nAnswer: r**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128.225 + 0.225. Let l = 96.6 + a. Let z = 31.400474 + l. What is z rounded to five decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/135 + 12\/27?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 157710695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408 and 5076.\nAnswer: 172584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/5 + 141*f**4\/5 - 4508*f**3\/5.\nAnswer: -f**3*(f - 92)*(f - 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -97, 0.8, -1\/3 in decreasing order.\nAnswer: 0.8, 0.1, -1\/3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1703873\/(-1486830) + 28\/609\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9 + 0)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 10*h**2 + 19*h + 12. Let v be s(-10). Is ((35\/2)\/(-7))\/(1\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1105\/9 or -124?\nAnswer: -1105\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131\/196 - 4\/49. Let t be 10\/30 - (-1)\/(-3). What is the nearest to t in 2\/5, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1115970 by 5.\nAnswer: -223194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -0*x - 12*x. What is the remainder when x is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62769 divided by 3\nAnswer: 20923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 195?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 626282773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 + 1 = 0. Suppose 0 = d + 3*i - 8, -d = -4*i - 9 - x. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -32?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/5)*d*d)\/d**(-15) assuming d is positive.\nAnswer: d**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247291039.\nAnswer: 89, 151, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -307 + 3989\/13. Let u = -4.66 + -0.34. Let z = -4.88 - u. Which is the second biggest value? (a) -2 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 - 9*k**3\/5 - 48*k**2\/5 - 52*k\/5.\nAnswer: k*(k - 13)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5339 divided by -5950?\nAnswer: 5339\/5950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1289*d - 4*x + 36 = 1284*d, -9*d + 3*x = 48 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 + 189. Let f be -8*(5 - (-94)\/y). Suppose -4*x = -3*x - 12. Solve 3*v = x, q - 1 = -2*v + f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 429 + -516. Let d = 643 - v. List the prime factors of d.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 81*p + 1. List the prime factors of h(1).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2 - 280\/135). What is the greatest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b + 40. Suppose -55 + b = -2*r. Round r to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59.9 - 60. Let t = 0.1 + r. Which is the second biggest value? (a) -3 (b) 4 (c) 3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 52. Let c = r + 25. Solve z + c*p = -8, 18 = -3*z - 4*p - 0*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(4\/7))**(12\/11) assuming m is positive.\nAnswer: m**(36\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-91 + 91 + 3*l**3)*(-2 + 2 + 1) in the form n*l**2 + c*l**3 + o*l + q and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000354064285 rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*16)\/((-9)\/(-18)). Suppose x = -17 + c. Calculate the remainder when x is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 6.24297, 2, 1\/6, -0.287?\nAnswer: 6.24297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -69*k. Let b(r) = -1239*r. Give b(a(m)).\nAnswer: 85491*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:04 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*p**5 + 90558*p**4 + 33460071*p**2 wrt p.\nAnswer: -8700*p**2 + 2173392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 19*y - 131. Let s(r) = -48*r + 55. Let i be s(1). Let c be q(i). Let l(g) = -g + 4. Calculate l(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 5. Let b = 18 - o. What is the nearest to -1\/4 in 3\/7, b, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0, 1 in ascending order.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 8. What is the remainder when 37 is divided by b(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1287 divided by -1.\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -1 - (-57 + (50 - 5)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9243760 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99881.19 less than 8780?\nAnswer: 108661.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-q + 3*q - 4*q) + 2*q - q - 4*q - 1 + 1 + 2*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1571 + 1571. Solve -5*q = m + 11 + 3, k = -5*q - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*c - 235*c + 684 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 v, and 1 z when four letters picked without replacement from rvznpzvbbvnnnvrnv?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1152\/11 + 4575\/44. What is the closest to 2 in 4, -11, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.5, -10\/71, 1761, 0.4 in decreasing order.\nAnswer: 1761, 2\/3, 0.5, 0.4, -10\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = u + 3*i - 7, -u + 5*i + 1 = 0. Let m = -59 - -63. Solve -k = -m*k + u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 1. Let l be a(-3). Suppose 27*x + 1797 - 207 = -238*x. Sort 2, -13, x, l in descending order.\nAnswer: 2, l, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 11\/4 (b) -0.1 (c) 5 (d) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*32.31292\nAnswer: -3.5544212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -j - 4*v + 20, 0 = -j - 4*v + 16. Solve j = m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 103*o - 308*o - 2*o**3 + 101*o + 104*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/2)*x)\/x*x*x*x*x**1)\/(x**(1\/4)\/x**(12\/11)))**(2\/73) assuming x is positive.\nAnswer: x**(191\/1606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -2*p**7\/105 + 3*p**6\/40 - p**5\/10 + p**4\/24 + 2*p**2. Factor a(b).\nAnswer: -b*(b - 1)**2*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - 452.\nAnswer: -452.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1536705\nAnswer: 2\/1536705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -34685.5 times 5?\nAnswer: -173427.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d = 6. Suppose n = -5*f + 44, 0*n + 68 = n - d*f. Calculate the remainder when n is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-2\/39))*l*l)\/l*l\/((l*l**(2\/19))\/l) assuming l is positive.\nAnswer: l**(625\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/98182?\nAnswer: 3\/98182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -m + 95, -9095*b - 5*m = -9091*b + 105 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((-363)\/(-44))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6817, -6819, -6821, -6823, -6825, -6827?\n\"Answer: -2*r - 6815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 1066?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.58852 centuries to years.\nAnswer: 9158.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 3. Let c be a(-1). Solve 0 = 2*w - 3*f - c, w - 7 = -0*f + 3*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1031?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102564945 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 24200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3158*t**3 - 11*t**2 + 316*t + 3. Let k(m) = -3159*m**3 + 10*m**2 - 212*m - 3. Let j(b) = 3*k(b) + 2*x(b). What is the third derivative of j(q) wrt q?\nAnswer: -18966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6536 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.1 + -1.1. Let o = -13 - u. Let g = o - -17.1. What is the third smallest value in g, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*l - 5*z, 2*z + 0*z = -4*l + 4. Suppose -5*d + 2*g + 20 = 5, -g = -5*d + 10. Which is the third biggest value? (a) -7\/3 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 97*r**2 - 333*r - 3612. What is a(93)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 5451?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 216.656 - 231.8477. Let n = -15.2 - h. What is n rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21300 and 987600.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 20 (b) 0.1 (c) 3 (d) 0 (e) -4 (f) 1\/496 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1 + (1 - 1 + 2)*(0 + 0 + 2) + 4 + 3 - 5 - 2 + 6 - 2 - 2 + 6 - 2)*(-8 + 4 - 2) + 34 - 31 - 46)*(-4*y**2 - y + 6*y**2 - 5*y**2).\nAnswer: 327*y**2 + 109*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 20*m = 16660. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f - 8604969 = -8603865. Suppose -6*p + 320 = -p. What is the smallest common multiple of f and p?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 6}. What is prob of sequence ngg?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 29 + 10 = 0. Suppose -a + 11 - 7 = g, -o*a + 14 = 2*g. Let n(r) = -r**3 + 6*r**2 - r - 7. Determine n(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7876972223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*j**2 - 59*j**4 - 1041*j + 1041*j wrt j.\nAnswer: -1416*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-6 + (0 - -4)). Let z = 310 - 1241\/4. Which is the biggest value? (a) 5 (b) z (c) 0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 796 = 790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1635, 4706, 7777, 10848, 13919?\n\"Answer: 3071*z - 1436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 209*x**4\/24 + 31*x**3\/2 - 25*x**2 - x. Differentiate t(m) with respect to m.\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9270 and 2678?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6675 (base 11) to base 16.\nAnswer: -225a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 46*a - 318. Let b be x(10). Solve 24 = -34*g + b*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*g - 318 = -4*v + 260*g, 4*v - 314 = -g. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*12.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a + 4. Let o be v(0). Solve 4*y - o*s + 7 = -s, 5*y = -3*s - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/12)\/((-1)\/(32 + -2))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2508 and 1038597?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 290, -4, -3 in increasing order.\nAnswer: -4, -3, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 71*z**2 + 51*z + 3. Let r(d) = -215*d**2 - 145*d - 8. Calculate -17*q(k) - 6*r(k).\nAnswer: 83*k**2 + 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001880424222 rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177 or 179?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 10*o**2 - 18*o - 50. Determine k(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -2*d + 24, -3*q + 3*d + 51 = 0. Calculate the greatest common factor of 200 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (0 - 1)*-5. Find the second derivative of -d*w**3 - 15*w - 12*w - 2*w - 18*w**3 wrt w.\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.93 (b) -0.1 (c) 1\/3 (d) -74\/11 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -26*r + 52. Let a(i) = i**2 - 12*i - 13. Let s be a(r). Let c be (-9)\/10*(-2)\/(-6). Does c = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + 0 + 0)*(-2*f + 2*f - 5*f**2).\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 99 - 957. Suppose 152 = 4*o - k. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11401*j - 3 + 11404*j + 0 to n*j + z and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349283559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -43. What is the highest common divisor of 40 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a8 (base 13) to base 12.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + 0. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-276)*4\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 - -1) + (-68 - -74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30833*l**2 + 10133*l**2 + 69164*l**2.\nAnswer: 110130*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 10*z**2 - 97*z - 523. Determine s(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 174, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1385 + -609. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -24578*j + 245778. Calculate q(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4679262 - 30*n**3 + 4679262.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107023 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 11:07 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153779?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 3*h - 65. Suppose -11 = 3*z + 5*i, 2*z - 4 = -2*z - h*i. Suppose w + z*w + 10 = f, 0 = 4*f + 4*w + 20. Which is bigger: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2745*-24.1.\nAnswer: -66154.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-90) - 119\/(-9). Let x(r) = -r**2 - 4*r - 3. Let b be x(-5). Let j = b + t. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757139502 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 l when four letters picked without replacement from {f: 4, i: 2, l: 4, e: 5}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**8\/840 + z**7\/1260 + 5*z**4\/12 + 11*z. Let n(j) be the third derivative of a(j). Find the third derivative of n(b) wrt b.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 3. Let n be 3 - (2 + -5)\/o. Let a = n - 1. Sort a, 2, 0 in decreasing order.\nAnswer: a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 48 = -0*k - 2*i, k - 2*i = 8. Let b be k\/70*20\/(-1226). Let x = -716297\/128730 + b. Calculate the common denominator of -71\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114723 (base 10) to base 13\nAnswer: -402ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -78\/25 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2085 + -1.20842628. Round b to 6 decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a, 5*a = -x + 3*x + 24. Let u = 17 + x. Find the third derivative of -2*o**6 - 7*o**2 + u*o**2 - 5*o**2 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.44, 187814, 3, -1, -3 in increasing order.\nAnswer: -3, -1, 1.44, 3, 187814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + 7)*278\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82194 < 82194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 395.0882t?\nAnswer: 395088200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043016.\nAnswer: 2, 3, 13, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.9+13688\nAnswer: 13688.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + ((sqrt(1300) - sqrt(1300)*-1) + sqrt(1300) - sqrt(1300)) + sqrt(52) + ((sqrt(325) - (-3 + sqrt(325)))*-3 - sqrt(325)))**2.\nAnswer: -342*sqrt(13) + 4774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:24 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354715*a**2 + 25*a + 355442*a**2 - 25*a.\nAnswer: 727*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008625797 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-341)\/(-186))\/((-18)\/(-56) - (-9)\/(-36))?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 - 16*i**2 - 50*i - 17. Let z = 345 + -352. What is the hundreds digit of r(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22560 less than or equal to 22501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 119 and 55.\nAnswer: 6545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 218 = -235. Suppose 6*j - u = -5. What is the highest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 43. What is the least common multiple of (-87)\/(-15) + 15\/75 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -740.0985 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10790243357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-256)\/704)\/((-18)\/165))\/(10\/36). What is the highest common divisor of w and 32268?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1702 and 13\/19.\nAnswer: 32338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15*p**2 + 1073*p + 487. What is l(72)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*b + 2 + 2, 0 = 5*q - 4*b - 62. Calculate the greatest common factor of 21 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r + 2*r)*(2*r - 2 + 2 + (0 + 1 + 2)*(2*r + 6*r + 3*r)) + 9*r - 9*r + r**2.\nAnswer: 141*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -17*s - 3. Let p(h) = -120*h - 20. Let f be (3 - 0)*(-2 - -1). Let g(u) = f*p(u) + 20*r(u). What is the units digit of g(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -84.\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 - 206 = -s - 2*c, -2*s - 378 = 3*c. Put -2, 6, s in decreasing order.\nAnswer: 6, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -428*c**2 - c**3 - c - 49*c**3 - 14*c**3 + 426*c**2 to the form n*c + i + t*c**2 + o*c**3 and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421672147?\nAnswer: 13, 43, 754333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/7 - 108*g**2\/7 + 222*g\/7 - 16 = 0.\nAnswer: -56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 1671 - 152. What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)\/(sqrt(90) - sqrt(90)*1 - sqrt(90)))**2 - (4*sqrt(52) - (-4 + sqrt(26)\/sqrt(2) + sqrt(13))).\nAnswer: -6*sqrt(13) - 23\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 7:32 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23622424 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01703 + -0.08297. Suppose -4 = h - 5*y, 6*h - 3*y - 2 = h. What is the third biggest value in h, 3\/2, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 14 + 1 = 0, -4*v + 2*h = -2. Suppose 3*t = -9, -2*z - 3*z + 109 = -v*t. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106361*w**4 - 252*w**2 + 133926231.\nAnswer: 425444*w**3 - 504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 891423 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 12*b + 12 = 0. Suppose 0 = -4*i - b*j + 1002, i = 8*j - 6*j + 256. Suppose -i = 4*m - 11*m. What is the lowest common multiple of m and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41574)\/1599)\/(((-3)\/(-3))\/(2\/(-4)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 3*u**3 - 3*u**3 + 6*u**3 - 2*u**3 + (8*u**2 - 2*u**2 + 4*u**2)*(u - 2*u + 2*u) + 2*u**3 - 4*u**3 - u**3 as i + z*u**3 + l*u + w*u**2 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**1\/h)\/h*h**6\/h)\/(h\/(h\/(h**(-1\/6)\/h))*h**(3\/4)))**8)**(-15) assuming h is positive.\nAnswer: h**(-650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6)*-112 - -2. What is the highest common factor of m and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -51*b + 3. Suppose 56*x + 571 = 148*x + 5723. Let u(o) = -968*o + 56. Determine x*l(c) + 3*u(c).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*q - 2*q. Let m = 34 - 29. What is the second derivative of -6*j**m - q*j - 15*j**5 - 14*j wrt j?\nAnswer: -420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 4*y - 194. Let q(x) = -x**3 + 9*x**2 + 18*x - 777. Give 9*l(o) - 2*q(o).\nAnswer: 2*o**3 - 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/500 and 109\/460210.\nAnswer: 23010500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 24*v - 65. Let k(b) = 2*b**2 - 46*b + 129. Let d(x) = -7*c(x) - 4*k(x). Calculate d(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6109140\/643 + -9501. Let j be (3770\/16075)\/((-27)\/(-525)). Let i = j + m. Find the common denominator of i and -26\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*v - 3*v + v)*(v + v**2 - v) + 2*v**3 - v**3 - 2*v**3)*(16*v**2 - 27*v**2 - 41*v**2) + 7*v**5 + 9*v**2 - 9*v**2.\nAnswer: -45*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -590 - -1272. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 36*t + 284. Let x(p) = 2*p**2 + 80*p + 276. Let k be x(-36). Determine q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9112 or 9114?\nAnswer: 9114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.5 - 0.5. Let b = 10.0000025 + y. What is b rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2 and -99\/476452?\nAnswer: 476452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/246 at most as big as -1.239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/58)\/((-368)\/21344)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802510.\nAnswer: 2, 5, 80251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let j be u\/42 + (-4)\/(-14). Let y be ((-18)\/180)\/((-8)\/(-6)*30\/80). What is the closest to 2\/3 in -0.4, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195339913?\nAnswer: 195339913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 92*z + 1. Let g be a(1). Suppose 13 = -2*t + g. Let w = t + -17. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 + 125 = -34*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*i + 9. Suppose 25 = -2*c + 5*y, 0*c - 5 = -i*c - y. Solve -2*n - n = c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, q: 6}. What is prob of sequence qg?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-11)\/(-792)*6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -15. Let d = 9 - j. Sort d, -5, 2.\nAnswer: -5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 6319966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 10, 7*t + 29 = 4*j + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) 0.2 (c) -22 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 2. Suppose i + 2*u = 4, -3*i = -0*i + 3*u - 3. Let g be w(i). What is the units digit of (-111)\/(-12) + 2\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725970 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 21*o**2 - 1. What is the units digit of w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5216 + 5210.658. What is u rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 25*h - 11. Let b(q) = q**2 + 13*q + 6. Let p(k) = 11*b(k) + 6*c(k). Give p(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -113, -449, -1001, -1763, -2729, -3893?\n\"Answer: p**3 - 114*p**2 - p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6746633 and 242394.\nAnswer: 40479798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i - 12. Is 12 a factor of (i\/(-14))\/(6\/1036)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let f(z) = -2*z. Let a(x) = -4*f(x) + 6*u(x). Suppose 6 = 2*k - 6. Let t(r) = -k*r**2 + 4*r**2 + 0*r**2. Give a(t(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9475*w**2 + 7*w**3 + 9475*w**2.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 70 + 22 + 48 + 71*y.\nAnswer: -y**2 + 71*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 - 426*c\/11 - 844\/11.\nAnswer: -2*(c + 2)*(c + 211)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - 8ba28ab?\nAnswer: -8ba2912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2*t**3\/3 - 1. Let p be 3 - (1 - (2 + 18)). Let i(r) = -r - p + 22. Determine i(h(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80939445 is divided by 997?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-28)*16\/6)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(7) + 1*(sqrt(7) + -2 + sqrt(7)))**2 + (-5 + -2*(sqrt(567) + 0))**2.\nAnswer: 178*sqrt(7) + 2301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1956*k**2 - 3860*k + 104 = 0. What is k?\nAnswer: -2, 13\/489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4230, -2, -102?\nAnswer: 4230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.7. Let l = 2.05 + -0.05. Let g = -2 + l. Is o > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -79*l - 263. Let c(j) = -159*j - 528. Let o(d) = 3*c(d) - 5*g(d). What is the derivative of o(s) wrt s?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23655 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/90 and 113\/21582?\nAnswer: 107910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 12. Suppose -x + i = 3*x. Which is the second biggest value? (a) -0.4 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) -3\/4 (b) -1\/3 (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.006 + 1.006. Let g = 0.1 + -0.1. Let b = g + n. What is the third smallest value in -3, 5\/3, b?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36223513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, b: 7}. What is prob of sequence bvvv?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*3\/(-9) + 0. Let v = 1\/12 - q. Which is the third smallest value? (a) 2 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 456 + -444. Let n be (c\/2 + (9 - 15))*1. Suppose 0 + n*b - 8\/5*b**2 + 2\/5*b**3 = 0. What is b?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 37. Suppose f*a + 61 = 4*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 3, 12, -58, 0.4?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/(d\/((((d\/d**(-2\/15))\/d*d)\/d*d)\/d))*d)))\/(d\/(d**(1\/3)*d))*(d**(-3\/8)*d)**21 assuming d is positive.\nAnswer: d**(1631\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k - 85 = -125 + 74 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*b**2\/13 + 602*b\/13 - 96\/13.\nAnswer: 2*(b + 16)*(19*b - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u**(-2)*((u**1*u*u)\/u)**1)**(-23))**31 assuming u is positive.\nAnswer: u**(-9269\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 11*i**2 - 17*i - 8. Calculate l(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 115*j**2\/4 + 112*j + 111.\nAnswer: (j + 2)**2*(j + 111)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ad9d (base 14) to base 11.\nAnswer: -1160a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 19. Let m = 17 + k. Let g = m - 6. Which is the smallest value? (a) g (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v - 1. Let o(u) = 230*u + 62. Give -o(c) - 16*z(c).\nAnswer: -22*c - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 6:03 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-7) + (-6)\/(-21). Let v(q) = 119 + q - 4*q**k - q**2 + 4*q**2. Is v(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 4. Suppose -i = 2 + 3. Suppose 5*x + 21 = 146. Calculate the remainder when x is divided by j(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*q - 3*c, -5*c + 8 - 13 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62708912*p**4 + 171161919*p**2.\nAnswer: 1505013888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3 = -5*i, 0*o - 3*o - 9 = 3*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 7566?\nAnswer: -7569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 0.2 (c) -3 (d) -111829 (e) 0 (f) -5 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1230852 and -16\/21.\nAnswer: 1230852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**4\/12 + 2*g**3\/3 - 5*g**2. Give a(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 22083?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41, 83, 123, 161, 197?\n\"Answer: -w**2 + 45*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.1043 to one decimal place.\nAnswer: -31.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6897.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1 - 23*u + 13*u - 57*u - 8*u. Is h(-1) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-52 + 1965\/35)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1889*y. Let o(b) = -10*b**2 - 4865. Calculate c(o(p)).\nAnswer: 18890*p**2 + 9189985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4123014 (base 5) to base 12.\nAnswer: 32b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 168741 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -83. Suppose 46 = 5*k - n. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -674 - -669. What is the nearest to -0.3 in f, -8\/9, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2312232110201?\nAnswer: 2312232110133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - (-791)\/105)\/(2\/(-12)). Factor 0 - c*l + 16\/5*l**2 - 2\/5*l**3.\nAnswer: -2*l*(l - 7)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -16, -0.2, 0.5269?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -17, 0 in descending order.\nAnswer: 4, 0, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a**2 + 13*a**2 - 14*a**2)*(44*a - 23*a - 9 - 23*a).\nAnswer: 30*a**3 + 135*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417a (base 11) in base 10?\nAnswer: 20173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-325) + ((-18144)\/546)\/72?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 565, 13, -6, 0.\nAnswer: -6, -5, 0, 3, 13, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 12:47 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Suppose t + 3 = c, -2*t - a - 1 = -c. Solve -5*p - t + 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 758 = -2*c, -2*a - 511 = -5*c + 1384. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -10*c**3\/9 - 46*c**2\/9 - 20*c\/9 + 16\/9 = 0.\nAnswer: -4, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = q - 2*u, -4*u + 13 = 2*q - 9. Sort -1, -5, q, 4 in decreasing order.\nAnswer: 4, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 12*a - 13. Suppose -10*u + 55 = -15*u. Let b be c(u). Let y be ((-164)\/(-6))\/(b\/6). What is y rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -1, -2, -27, -7 in decreasing order.\nAnswer: 70, -1, -2, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 3 (c) 2 (d) -9 (e) 0.8 (f) -1591\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-404)\/90 - -5 - 1\/9) + 0. Let d = -0.04 + 1.04. Which is the closest to d? (a) -183 (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 22, 49, 96, 169?\n\"Answer: i**3 + i**2 + 3*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 23*w**5 - 153*w. Let s(q) = 1125*q**5 - 7497*q. Suppose -63*n + 37*n = 2574. Let c(f) = n*g(f) + 2*s(f). What is the second derivative of c(i) wrt i?\nAnswer: -540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.011 and -0.03317?\nAnswer: 0.04417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*t**2 + 232*t**2 + t**4 - 5*t + 0*t**4 - 1 - 8*t**3 - 2 - 8*t**3 as l*t + r*t**2 + a*t**3 + o*t**4 + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1052048 grams to nanograms.\nAnswer: 105204800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 523 divided by -2.\nAnswer: -523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/60 + m**4\/4 + m**3\/6 + 2*m**2 + 4*m. Let s(b) be the first derivative of q(b). What is s(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 1953019*n**3 - 1953049*n**3 + 0*n.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/6))**36*((y\/(y*y**(-14)*y*y*y))\/y*y)\/y**1 assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jor when three letters picked without replacement from {r: 1, c: 1, h: 3, o: 6, j: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 60.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -121132320031 (base 4) in base 7?\nAnswer: -110531305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/165)\/((-6)\/36)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 3*v**2 + 5*v. Let s be w(4). Find the first derivative of 13*h**3 - h**4 + s - 13*h**3 wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6 = r + 14, 2*t - 5*r + 6 = 0. Suppose -4*q + 17402 = 2*b, 0*b + 8695 = t*q - 5*b. Round q to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 6*k**2 + 7*k. Suppose -u + 5*u = 56. Suppose -v = 4*m + u, 2*v + 3*m + 6 = -v. Let w be 4\/(v*-2) + 6. Determine r(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.046 from 0.04333631.\nAnswer: -0.00266369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 134. Let j be 56\/v*(-5)\/(-2). Is 21 a factor of (11 + -9 - 1)*398\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -565497\/115 at most as big as -4918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*w + 2*t, -7*w + 14*w + 10*t - 65 = -30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (1\/(-2))\/(1\/(-38)). Let t = f + -1. Solve -5*w = -l - 19, 4*l - 5*w + t = -18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/33 and -69\/418.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87817951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Let c = 5 + -1. Solve 5*m - 3*m - 10 = 0, 17 = g*u + c*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - 4*p**2 + 2*p - 1. Let h(x) = -3*x**3 + 3*x**2 - 2*x. Calculate -2*d(v) - 3*h(v).\nAnswer: 3*v**3 - v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -37. Suppose -m + 3 = 2*l. Which is greater: l or -28\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3\/8 (c) 4 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njtttutjjujtnnjknin. Give prob of picking 1 n, 1 j, and 1 t.\nAnswer: 125\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11774\/9 + 1314. Find the common denominator of x and 71\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, u: 7}. Give prob of sequence ttuu.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 622640 divided by 8.\nAnswer: 77830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -11*y**7\/15 + 671*y**3\/6 - 125*y**2. What is the derivative of h(z) wrt z?\nAnswer: -616*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17732372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(-5863)*-2)\/((-7)\/539)\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 - 33*f - 90. Let z(s) = -3*s**2 - 32*s - 93. Let m(k) = -k**2 - 21*k + 43. Let j be m(-23). Let g(w) = j*z(w) + 4*r(w). Factor g(l).\nAnswer: -3*(l + 3)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4370064?\nAnswer: -1\/2185032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t - 10. Let v = 1 + 0. Let i be v + -2 - (-5 + 1). Let j(a) = 4 + a - i*a - 8 - 2*a. Determine 12*j(g) - 5*y(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1861*i**3 - 16*i**2 + 220083*i?\nAnswer: 11166*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 11 + 11 + -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 232156285 a multiple of 4079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 15927795*v + 253694653562025\/2.\nAnswer: (v - 15927795)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1035, 7856, 26251, 62016, 120947, 208840?\n\"Answer: 966*y**3 - 9*y**2 + 86*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 583*h - 296*h - 283*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -1) + -22 - -81261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/71 in -2, 1\/5, -11, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513) + (-1*sqrt(513) - sqrt(513)) - sqrt(513))*6)\/(-3*sqrt(243)*1) + -1)*-2.\nAnswer: -8*sqrt(19)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -1 (b) -1.7 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 476bb?\nAnswer: 476b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = -5*b, h + 7 = 3*b - b. Let g(i) = 4*i**3 - 4*i**2 + 4*i + 4. Let s(v) = 3*v**3 - 5*v**2 + 5*v + 5. Give h*g(t) + 4*s(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 360279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -7. Let j(c) = 3*c - 24. Let q be j(8). Is (-51)\/z*-6 + q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 6*j - 219. Let c(v) = 4*v**2 + 21*v + 655. Give -2*c(m) - 7*w(m).\nAnswer: -m**2 + 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*u + 60, -u = 5*t - 3*u - 249. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 197, 286, 435, 656?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -22 - -16 - (-11 + 27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2308132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 3*b**2 - 32 + 3*b + 31. Let x be s(1). Calculate the greatest common divisor of 28 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182805 (base 10) to base 15\nAnswer: -39270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/2)\/(2 - 1). What is the common denominator of -65\/2 and k\/6 - (-45)\/(-162)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6872.00003137 - -6872. Round u to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21911*g**2 - 2489*g**2 + 7523*g**2 - 15630*g**2.\nAnswer: -32507*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 192. What is y(57)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4*1016 + (-7)\/(35\/(-25))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*n, 3*n + 5*p - 12 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -12*h**2 + 6*h. Let r(p) = 2*p**2 - p + 1. Give -o(z) - 4*r(z).\nAnswer: 4*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0*u**3 + 1\/21*u**7 + 3*u + 0 + 0*u**4 + 1\/10*u**5 - 2\/15*u**6 + 0*u**2. Factor f(c).\nAnswer: 2*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -4 (c) -71 (d) -3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21234 divided by 6\nAnswer: -3539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*s - 80, 4*b - 2*s - 64 = -s. Suppose 18*q = b*q + 280. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(-17) - (0 - 2). Let d = 37 + -15. Solve 3*x + 2*x = 2*u + d, -u - 13 = -i*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 5327468179.\nAnswer: 5327468165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -0.093, 2\/11.\nAnswer: -2, -1, -0.093, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + m**2 - 6. Let x(n) = n**3 + 5*n**2 - 9*n + 34. Let i be x(-7). Let j be 1\/1*(1 + i). Give y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 432 - -212?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2952*-5.\nAnswer: -14760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 + -102. Let i be (2\/(-1) - (-2 - 12))*c. Let p be (-22)\/3 - (40\/i)\/5. Is -9 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -1\/2 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Let u = 0.1 - 1.1. Let w = 6.542 - 1.542. What is the closest to 0 in w, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/((-12)\/198). Suppose s - 7 = q. Let h be 10*s\/6*3. Calculate the greatest common factor of h and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 6087.\nAnswer: 7\/6087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-14))\/(9\/693). Let z(v) = v**2 - v. Let k(f) = 9*f**2 - 11*f. Let m be 7 - (138\/16 - (-57)\/152). What is m*k(b) + q*z(b)?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 8*w - 11. Let b be k(-3). Suppose 2*l - 2 + b = 0. Does 4 divide (24\/l)\/(-2)*24\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/7)*d**0*(d\/(d\/(d*d**(2\/7)*d)))**(-18\/13)*(d*d**(-3\/4)*d*d**6*d)**(-2\/11) assuming d is positive.\nAnswer: d**(-125\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5\/(5\/58) - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4, -6*h = -4*p - 3*h - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -5003 and -35017\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -18*s**3 - s**2 - s - 1. Suppose 0 = -5*f + 4*x + 11, -9 = 4*f - 3*f + 2*x. Let i be g(f). Calculate the highest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 t when three letters picked without replacement from {w: 4, m: 7, j: 5, e: 2, t: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-455)\/(-56) + -8 - 7\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21112 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*v + 52 = 4*z, 5*z - 60 = 2*v. List the prime factors of (16\/z)\/(34\/119).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cd3d (base 14) to base 10.\nAnswer: 35531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5573*l**4 + 3*l**3 - 50*l**2 - 15046479*l wrt l?\nAnswer: 66876*l**2 + 18*l - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0350735mm in nanometers?\nAnswer: 35073.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/13 - 310*s\/13 + 9348\/13 = 0?\nAnswer: 41, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 5*k - 92. Let t be u(13). Suppose t*l - 7538 = 6862. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 x, and 1 r when four letters picked without replacement from rfrfixxfi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.63 (b) -0.2 (c) -0.128 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -1 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0312 - 70.0312. Let d = -49 + -27. Let f = d - i. Which is the biggest value? (a) 0.5 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15840*k**2 + 2704*k - 1.\nAnswer: 31680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7195433 rounded to 2 decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8367 take away -287.7?\nAnswer: -8079.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -73. Suppose -17*l + 83 - 32 = 0. Let n be ((-175)\/l)\/(2\/h). Round n to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**4\/m)\/(m\/(m*m\/((m*m**(1\/4))\/m))))\/(m*m*m\/m**(-1\/2)*m)**38)\/((m**(-1)*m*m\/(m\/m**(-2\/7)))\/(m**(-2\/5))**(-41\/3)) assuming m is positive.\nAnswer: m**(-67829\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:13 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 880 or 882?\nAnswer: 880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/6)\/(-7)*(-4)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27038 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -20*h - 2. Let q(n) = -23 + 7 + 11 + 0*n + 8 + 21*n. Determine 3*c(l) + 2*q(l).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:45 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:47 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.3766 to the nearest integer.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-10 - 12) + 15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:20 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*(-1)\/((-21)\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 7*z + 32*z)*(2*z**4 - 3 + 3) - 3*z**5 + z**5 + 4*z**5.\nAnswer: 86*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55521320 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 929111, 3, -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = 2*c, -4*c = 4*d - 9*c - 10. Suppose 4*g + 150 = b, d*b - 2*b + 294 = -5*g. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/5)*z*z**(-5\/3))**20\/((z\/(z**(-1\/3)*z))\/(z*z**(-9))*(z**(-2\/5)\/z)**40) assuming z is positive.\nAnswer: z**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(343))*3 + sqrt(21)\/(sqrt(12)\/sqrt(4))*-2)**2.\nAnswer: -228*sqrt(7) + 2563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9*j = 14*j - 15, 0 = -4*w - j + 3. Let f(b) be the third derivative of 0 - 1\/6*b**3 + 29*b**2 + w*b + 1\/24*b**4. Determine f(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*m - 2*m**2 - 12*m**3 + 136*m + 2*m**2.\nAnswer: -12*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 28. Is -1\/2 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -91. Let p = -1181 - -1179. Let k be (-2)\/8 + 0\/(-1). Which is the fourth smallest value? (a) p (b) y (c) -4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m + 4. Suppose -5*q + 965 = 5*o, 986 = 3*q + 2*q - 2*o. Let d be (-2)\/8 + (-175)\/q. Is d >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*u - 219*u**2 + 20 + 442*u**2 - 18 - 222*u**2 - 16*u**3 - 5*u**3 - u**4 in the form l + n*u + t*u**2 + i*u**4 + x*u**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 10*s**2 - 2*s - 5. Let u be (-4)\/3*(-15)\/(-2). Let t be h(u). Solve t = 3*w + 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10*v**2 + 318*v - 2267. Calculate m(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-36) + 276\/27. Suppose -m*p + 7*p = -540. Suppose -2*b - 99 = -g, 4*g - 2*g + 2*b = p. List the prime factors of g.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 719 + -702. Sort q, 3, 0.4 in ascending order.\nAnswer: 0.4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*2911\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/9)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 386*u\/5 - 156.\nAnswer: 2*(u - 2)*(u + 195)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28389 at most as big as 28390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**3 - 3*o**2 - 3*o - 1. Let p(x) be the second derivative of x**5\/20 + 7*x**4\/6 - x**3\/3 - 29*x**2\/2 + x - 15. Let h be p(-14). Calculate j(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n - l + 8, 0 = l - 2. Suppose -3*o - 9 = n*u - u, 4*u - 4*o = -4. Let a be 1\/5*(-2 + u). Let c(d) = -18*d**2 + d + 1. Give c(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (364\/(-65))\/((3\/5)\/(-3)). Suppose -x - 19 = -2*b + 21, 2*b + 2*x = v. What is the greatest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 11*r - 17. Let n be i(7). Suppose 17*k = n*k + 816. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k - 357. Let g be w(-51). Suppose -2*v + 4*q + q = -13, -5*v + 3*q + 23 = g. Solve -v*c - d - 21 = 2*d, 2*c - 5*d - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.7631094 and -9.67423.\nAnswer: -7.9111206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4697861779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -r - 51. Let p(t) be the first derivative of 0*t**4 + 0*t**5 - 3*t**2 + 0*t**3 + r - 3\/2*t**6 + 0*t. What is the second derivative of p(x) wrt x?\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70810.\nAnswer: 2, 5, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*p - 9, -m = -5*p + m + 1. Let o be (-6)\/21 + (-24)\/14. Let y be (p\/o)\/((-1)\/(-4)). Which is smaller: -5 or y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1149705 and -0.92?\nAnswer: 1057728.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i + 134*i = -69*i + 378*i - 15589 for i.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(40\/(-125))\/(-4)*2*4\/4?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 9*b**2 + 18*b - 40. Suppose k + k - 59 = 5*j, 0 = -3*k + 6. Let h be t(j). Let 0*c + 0*c**3 + 4\/15*c**2 - 2\/15*c**h - 2\/15 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64806 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b. Let u(x) be the second derivative of x**7\/2520 - x**4\/4 + 5*x. Let a(y) be the third derivative of u(y). Give i(a(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -71.4. Which is the nearest to 3? (a) 4 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z + 52. Let j(r) = -6*r + 25. Calculate 5*j(n) - 2*o(n).\nAnswer: -4*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1264 in 80, -1, 3?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 36 = -13*b + 4*r, -5*r = 3*b - 57. Let f = 44 + -32. What is the greatest common divisor of b and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - y**2 + 2*y**2 - 40*y**3 + y**2 as g*y + k + b*y**2 + h*y**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 48 = -t. Let u be (9\/(-2) - -3)*t. Let i be 20 - (5 - (1 - -2)). What is the greatest common factor of i and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 3*g**3 + 3*g**3)*(g**2 - g**2 - 2*g**2) - 38775*g**4 + 38775*g**4 + 10*g**3 - 2*g**5.\nAnswer: -6*g**5 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - c**2 - c - 2. Let m(j) = 28*j**3 + 22*j**2 + 22*j + 44. What is -6*m(y) - 132*s(y)?\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n + 2*n + 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.045 + 8.755. Let y = k + 0.2. Let i = y - 30. Is 1\/2 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/60 - 38*g**2. Let u(j) = -2*j - 1. Let y(v) = -v - 1. Let h(k) = -6*u(k) + 11*y(k). Calculate h(l(i)).\nAnswer: -i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34916880 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 126982956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 take away 126.019?\nAnswer: -147.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:29 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 8*m**2 + 9*m + 8. Let x be q(7). What is the units digit of x\/1 - (-1 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 17*v**7\/42 - 94*v**4\/3 - 4*v - 5. Find the third derivative of j(l) wrt l.\nAnswer: 1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 divide 174309534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1237168372 by 4.\nAnswer: -309292093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f**3\/5 + 149860*f**2 + 1332024*f\/5 - 333008\/5 = 0. Calculate f.\nAnswer: -41626, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 84 = -129 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*i + 10 = 0, -5*i + i = f + 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1358.83 and 1.5135.\nAnswer: -1357.3165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x - 332. What are the prime factors of x?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i + 76921 = 75741 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 28*s - 4. Let h be n(-14). Let o be h\/18 + (-39)\/(-54). Let m = 5.1 - 0.1. Which is the biggest value? (a) m (b) -2\/15 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 895, 1343?\nAnswer: 1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s + 57. Calculate f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4)*(-1 - -1489386 - -9) 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 (32\/20 - (-4)\/10) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-8)\/(-12)))\/(3\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 4*r**2 - 2*r - 5. Let h be v(-4). Solve 3*a - 7 = -4*o + 2*a, o = -h*a - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1089\/(-43560))\/((-12)\/64)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 3*s**2 - 5*s**2 + s**2 - 125*s**4. Let w be z(3). What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(684)*-4*1 + -1 + sqrt(475) + (sqrt(475) - (sqrt(475) - (sqrt(475) + -6*(sqrt(475) - (sqrt(475) - 1*sqrt(475))) + sqrt(475)))))**2.\nAnswer: 78*sqrt(19) + 28900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/698995 and -26\/2485?\nAnswer: 4892965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**4*y**2 - 26*p**3*y**2 + 2*p - 21*y**2 wrt p?\nAnswer: -72*p**2*y**2 - 156*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 6)*5\/15. Let n(r) be the third derivative of 11*r**2 - 11\/3*r**3 - 1\/30*r**5 + 0*r**4 + k + 0*r. Find the first derivative of n(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1462.586 - 1536.5741. Let i = 74 + o. What is i rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 11 (c) 7 (d) -4.1 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -i + 2*u, -3*u = 24*i - 27*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 9 + (5 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35974b3 + -44?\nAnswer: -3597537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 8*l - 5*l - 4*j, -2*l + 5*j = -48. Suppose -5*o + 13 = -4*o. Calculate the remainder when l is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 15*p**6 + 5*p**4 - 2*p**2 + 5*p. Let x(g) = g**4 + g**2 + g. Let s(w) = -k(w) + 5*x(w). What is the third derivative of s(y) wrt y?\nAnswer: -1800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -0.5, -4 in descending order.\nAnswer: 5, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, o: 3}. What is prob of picking 3 p?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -194*(-158 - (-7608)\/48)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-20))\/((-3)\/(-2)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngt when three letters picked without replacement from nnngnggngtntnnnggg?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n**2 + 21*n**2 - 12*n**2 - 2. Let a(f) = f**2 - 3*f - 4. Let j be a(4). Calculate t(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 215, 197, 177, 155?\n\"Answer: -q**2 - 15*q + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - c = -4, -4*w - 2 + 6 = -2*c. Suppose 3*o + 4 = 4*d, 2*d + d = w*o + 4. Suppose d*a + 450000 = -a. Round a to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in -1\/77, -0.3, -4, -118?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-33)*234\/390?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25105300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2684664 and -29\/44192?\nAnswer: 10738656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152512 - 457545 + 152511 + 152517 + 7*m**2.\nAnswer: 7*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 119, 340, 559, 776, 991, 1204?\n\"Answer: -x**2 + 224*x - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -51. What is the remainder when 36 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 52*i + 1. Let l(x) = -1. Suppose -36 = -4*d, 4*a - 92*d + 5 = -91*d. Calculate a*m(z) + 2*l(z).\nAnswer: 52*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 270 + -262. Let j(c) = 11*c - 18. Let r = 2 + 1. Let i(o) = -4*o + 6. Let v(w) = r*j(w) + y*i(w). Find the first derivative of v(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 1 - s**2 + 0*s - 4*s. Let q be k(-12). Let p = 111 + q. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -0.5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppf when three letters picked without replacement from pppppppfpfp?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 15*c**2 + 32*c + 20. What is the tens digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351146639?\nAnswer: 351146639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 390407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (276 + 22*n**2 - 276)*(-3 - 3 + 5 + (3 - 1 + 0)*(3 - 6 + 1) + 2 - 3 + 2).\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 35 + -12 - 7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 51\/51*693\/135 - 5\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4986\/6225 + 8*(-12)\/120. Is -1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*p - 209*p = -4*n + 8, -2*p = 6*n - 6 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 3:32 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 6*k - 2*k + 9 - k. Let q = -2 + 2. What is the least common multiple of 8 and h(q)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tft when three letters picked without replacement from {t: 11, f: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182278661?\nAnswer: 41, 4445821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8625864um to meters.\nAnswer: 0.0000008625864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3186025 and 7.\nAnswer: 22302175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5670998?\nAnswer: 2, 2835499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 2*s - 2*s + (4*s**3 + 2*s**3 - 5*s**3)*(2*s**2 - s**2 - 2*s**2) - 3*s**4 + 3*s**4 - s**5 + 2*s**5 + s**5 - s**5 + 0*s**5 + 2*s**5 - s**5.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -641, -2, 0, 3, 0.3, 232?\nAnswer: -641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118486, -118487, -118488, -118489?\nAnswer: -118490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 0 + 2\/5*j - 22\/5*j**3 + 4*j**2 = 0.\nAnswer: -1\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8182 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 10*d + 6, 5*m - 2*d = 10788. What is the remainder when m is divided by 697?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7990917 is divided by 7990904?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 8*b + 18 = -10*b, -3*b - 11 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.168348686 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + r**4 - r**2 + (-r**2 - r + r)*(2*r**2 - r**2 + r**2) - 28*r**4 - 5*r**4 - r**4 - 21*r**4.\nAnswer: -56*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*k + 5*p, -31*k = -34*k + 2*p + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91920 divided by 6?\nAnswer: 15320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 12. Let a(h) = h**3 + 8*h**2 + 12*h - 6. Calculate the least common multiple of a(-5) and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**19\/q)\/(q\/(q**(-15\/4)\/q)))\/(q**(-16)\/q**(-8)) assuming q is positive.\nAnswer: q**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqrrkqkk. Give prob of sequence qr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:43 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -77*l**2. Let u(w) = -21*w**2 + 45*w**2 - 27*w**2. Give u(y(z)).\nAnswer: -17787*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202200 + -1?\nAnswer: -1202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 41*u**4 + u**3\/3 + 51*u**2\/2 + 124. Find the third derivative of c(n) wrt n.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + -3 + -4.\nAnswer: -7 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 289, -2, -4 in increasing order.\nAnswer: -17, -4, -2, 4, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) - 9\/36. Let q(w) = -w**3 - 27. Let i be q(s). Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**4\/4 + l**3 + 2*l**2 - 3*l - 91. Let q be -1 + 2 - 6\/(-2). What is d(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6848426 - 1\nAnswer: -1.6848426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*n - 5*u - 9, 31 = 4*n - 3*u. Let f = -11 + n. Let w = f - -10. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*((-5*sqrt(612)*1 + sqrt(612))**2 - (((sqrt(425) + (-1*sqrt(425) + sqrt(425) - sqrt(425)) - sqrt(425)) + sqrt(425) + sqrt(425))*-5)**2).\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1065*h - 439.\nAnswer: 1065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*v - 24 + 12, 3*v = -4*k + 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2 + 22*l + 28. Does 12 divide n(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 5 = -t. Let v = t - 10. Calculate the least common multiple of 5 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -10 in increasing order.\nAnswer: -10, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 323*r + 1620. Calculate w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2371*v + 5 + 2*v**2 - 431*v + 0*v**2 - 5 as c + y*v**2 + t*v and give t.\nAnswer: 1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 81*l = -t - t - 531, -t - t + 4*l - 289 = -335 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -1 - 1) + -14 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 3:34 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 4, -5*i + n + 116 = 0. Suppose 3*h - 43 = 4*r - 17, -2*h - 4*r = -i. Calculate the remainder when 15 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*-34*1\/8. Let j = -0.0261 - 1.9739. Which is the nearest to -0.1? (a) n (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 674584 and -5?\nAnswer: -3372920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/8 + 31*d**3 - 1005*d**2 + 10300*d - 34750.\nAnswer: (d - 10)**3*(d + 278)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(-2) + (-160)\/96. Which is the biggest value? (a) 4\/7 (b) -1\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5 - 823*l**4 - 126896*l**3 - 8678162*l**2 - 220730854*l + 112550881 = 0.\nAnswer: -103, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -40. Suppose 3*i - 35 = 73. Find the common denominator of -74\/3 and (-182)\/i + n + 50\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 467 + 6*i - 3*i**2 + 454 - 1386 + 463 to the form o*i**3 + r + z*i**2 + m*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnqby. Give prob of picking 1 n, 2 b, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 58. Let o be 3*(-25)\/(t - 0). Suppose -330 = -o*f - 0*f. Is -2 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1952*j**2 + 992*j**2 - 12*j + 961*j**2 - 59*j**3 in the form o*j**2 + s*j**3 + y*j + z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jin when three letters picked without replacement from {v: 2, i: 1, x: 1, m: 1, j: 1, n: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/3? (a) -2\/15 (b) -2\/13 (c) -1 (d) -3\/2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -97, -1409, -4939, -11785, -23045?\n\"Answer: -183*o**3 - 11*o**2 + 2*o + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3887*q**2*z**4 + 2*q**2*z + 7964*q**2 with respect to z.\nAnswer: -15548*q**2*z**3 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/10109660 and 63\/22.\nAnswer: 10109660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3552 and 286.\nAnswer: 507936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 16*r. Calculate g(7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.4 (c) 2\/11 (d) 4 (e) 0 (f) 0.36 (g) -12\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 12:47 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-65)\/26*(-8)\/10. Suppose m*x - x = -3*q - 51, x - 75 = 4*q. Let c be (-9)\/q*2*6. Solve 5*o = 4*f + 4 + 10, 4*f + 5*o - c = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 159. Let j = 177 + a. Which is greater: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 3*i**4\/4 + i**3 + 7. Find the third derivative of h(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -19. Let q be 4\/(-3)*(-1)\/(-2). Let o = -4756 - -4759. Which is the fourth smallest value? (a) r (b) o (c) q (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96974509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -5\/14 (c) -3 (d) -27.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-2\/9)*c)\/c)*c**5)\/(c*c**(-2\/7)*c*c)**27 assuming c is positive.\nAnswer: c**(-4225\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1453*p + 1113 = -452*p + 112 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364327944 is divided by 525?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 + 34820\/122115. Let t be 0 - (-709)\/69780*-502. Let i = l - t. Find the common denominator of -19\/10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 76\/30 + 343\/(-147). Sort -4, 0.3, 0, z in increasing order.\nAnswer: -4, 0, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12098439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/7))**(2\/49)*r*(r**(-14)\/r)\/r*r**(-4))**(-5\/4) assuming r is positive.\nAnswer: r**(32545\/1372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, g: 3, h: 5, u: 2}. What is prob of sequence gh?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/6)\/((-4)\/(-8)). Let n = 52 - 7. Suppose 0*k + c*k - n = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(975)*-1*-4)\/((sqrt(297)\/(sqrt(27)\/sqrt(3)))\/(sqrt(704) - (-2*sqrt(704) + sqrt(704) + sqrt(704)))))**2.\nAnswer: 11980800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 smaller than -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 186\/(-15) - (-4)\/10. Let w be (45\/a)\/(3\/8). What is the common denominator of -7\/12 and (2\/(-54))\/(w\/(-735))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 7, -27 in increasing order.\nAnswer: -27, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7860\/(-21))\/(-4*2\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*a**4 + 2*a**3 - a**3 - 4*a**3 + 2*a**2 - a + 3 as n*a + w*a**2 + j*a**3 + b*a**4 + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52710 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43503.264 milliseconds to days.\nAnswer: 0.00050351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 3*l + 9*l)*(19*l - 4*l**2 - 19*l)*(8*l - 2*l - 4*l).\nAnswer: -56*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 10. Let a be 8 + 3*(-4)\/3. What is the units digit of s(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1530, -3059, -4588?\n\"Answer: -1529*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b + 251*b**2 + 106 - 252*b**2 + 4*b as d + l*b + p*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 420, 881, 1450, 2085?\nAnswer: 2744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-14) + (-8)\/28. Let l be (j\/(-2)*0)\/(-1). Suppose w + 7 = 5*t + 1, -3*w - t + 14 = l. Solve -w*s = 4*a + 28, s = -3*a - s - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 102*z**5 - 98*z**4 - 106*z**3 + 98*z**2 + 4*z = 0. What is z?\nAnswer: -1, -2\/51, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 40997?\nAnswer: 409a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/142?\nAnswer: 3\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 2481*h**2\/4 + 27191*h\/4 - 18125049\/4.\nAnswer: (h - 79)*(h + 93)*(h + 2467)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 106*p - 2. What is s(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 0 - 4 + 91480*f**2 + 2 - 91476*f**2. Let b(d) = -5*d**2 + 3. Suppose 0 = 30*u + 104 + 16. Give u*b(a) - 6*x(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-5)\/(-2)*13. Suppose 0 = -5*b - 0*b + m. Let n(a) = -2*a - 9. Calculate the remainder when b is divided by n(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 37. Suppose 0 = -3*a - a - 3*c + 58, -3*c = a - 10. Let w(f) = -a*f**v - 4*f + 11*f**2 + 4*f. Let p(t) = -2*t**2. Determine p(w(n)).\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*f**2 + 228*f**2 - 139*f**2.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:59 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223427723 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3677*m**2*u**2 + 2*u**2 + 45*u with respect to m.\nAnswer: 7354*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499969?\nAnswer: 499969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 776602088 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r + 10*r + 11*r.\nAnswer: 37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6285527 is divided by 285702?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**(-23\/3)\/(a**(2\/3)\/a)**(3\/8))**(-3\/2) assuming a is positive.\nAnswer: a**(175\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x + 3. Suppose 4*m - 3*m = 7. Suppose 0 = -m*i + x*i. Solve 3*a = -i*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Let u = g - 1. Suppose -4*z - 25 = -9*z. Solve z = 3*o - u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31725, -31653, -31539, -31383, -31185, -30945, -30663?\n\"Answer: 21*g**2 + 9*g - 31755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*h = 9, 2*p + 8 = -4*h - 8. Suppose 4*v - 10 = p*v. Let u be 387\/15 + 1\/v. Round u to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*b + 164*b + 52127 + 79678 = 0 for b.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 111*t**2 - 55*t - 1. Let f be a(55). Let b(u) = -u - 1. Let r(l) = -2. Give f*r(k) - b(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 + 342*x**2 + 19494*x + 370386 = 0. Calculate x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 10*x + 19. Let p be z(8). Suppose -8 = 2*g - 3*h, 3*g + 0 - 22 = -4*h. Suppose 3*t - 4 - g = 0. Solve 0 = p*o + t + 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/330)\/((-4466)\/(-13398))\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l**2 - 5. Let o(n) = 7*n**2 + 2. Let z(r) = -9*o(r) - 4*p(r). Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -186*q + 111*q. What is the remainder when 1646 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 43*f + 7371. What is z(110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o - 1. Let a be (-2)\/3 - 4\/(-6). Suppose a = -t - 2, 4*t + 2 = 2*j - 16. Solve -o*b - 1 = -j, 4*p = -2*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 580922178 from -24.\nAnswer: -580922202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n - n - n - 10*n**2 - 4*n wrt n?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -0.1, 7, 794, -8, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -7)\/(-2 + -1). Which is the closest to 1? (a) -2 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5.9. What is the biggest value in -1\/7, -8, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55232\/13, -3, -2, 7 in increasing order.\nAnswer: -3, -2, 7, 55232\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84352, 334742, 752046, 1336258, 2087372, 3005382, 4090282?\nAnswer: 5342066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 9*o. Let n be m(8). Suppose 0*h = 2*a + 4*h - n, h = -5*a + 2. Is 12 a factor of a + 6*9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 1. What is the second biggest value in 5, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 35 = -5*t. Let p be 2\/4 + 1\/(-2). Let i be (4 - 3) + 0 + p. Calculate the highest common divisor of t and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311717763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 7*c**6\/30 + 5*c**4\/12 - 13*c - 17. Let x(w) be the first derivative of i(w). Find the third derivative of x(p) wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3577820 (base 9) to base 8.\nAnswer: -7317420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 7*d**2 - 10*d + 7. Let n be z(-8). Suppose -3*h - v = -13, -h - 2*h + 11 = -v. Solve -h = w - 2*w - 3*r, r = 4*w + n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571 minus -930?\nAnswer: 3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*o - 5443, 3*h + 3255 = -o + 4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478bc (base 15) to base 7.\nAnswer: 1640010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 172, 201, 230, 259?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by -11.\nAnswer: 162\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114538, 229085, 343632, 458179, 572726, 687273?\nAnswer: 801820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = u, 3*u - 12 = -u. Let f = -57079 + 57039. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:09 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1637884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -174\/5. Let s = 10.5 - 10.6. Put y, -2\/5, s in decreasing order.\nAnswer: s, y, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((-1*sqrt(99)*-3*1 + -4)*6)**2 + -5.\nAnswer: -10368*sqrt(11) + 130603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6082*g**3*k**2*s + 4*g**3*k**2 - g**3 - 94*g**2*k - g*k**2 wrt s.\nAnswer: -6082*g**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 268, 14 in decreasing order.\nAnswer: 268, 14, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -33. Let m(r) = -r**2 - 4*r - 4. Let i(b) = b**2 + 12*b + 8. Let f be i(-11). Let n be m(f). Which is bigger: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 22*h**2 + 1\/6*h**3 + 0*h**5 + 0*h + 1\/120*h**6 + 0*h**4 + 0. Give g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + g - 10. Let q be f(-3). Solve 1 = -t + b - q, -4*b = 5*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*f - 107*f - 32*f)*(-13 - 73*f + 13 + 2*f) to the form w + n*f**2 + i*f and give n.\nAnswer: 9230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4158 and 59697?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1120, -1536, -1074, 704, 4236, 9960, 18314, 29736?\n\"Answer: 73*f**3 + f**2 - 930*f - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y\/y**6)\/y))\/((y**(1\/15)*y)\/y) assuming y is positive.\nAnswer: y**(89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + b - 20. Let o(l) = 4*l**2 - 3*l + 2. Suppose -73*a - 14 = -74*a. Calculate the remainder when o(b) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 76 = 5*z, -7*z + 2*z + 5*p = -70. Let f(j) = 29*j + 98. Is 22 a factor of f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 3*l + 12, 4*l - 2 = z - 18 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/107046 and -145\/1782.\nAnswer: 10597554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54784)\/(-660) - 4257\/702405?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/4597?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/9 + 1*-3. Let i(b) = 15*b - 300. Let k be i(20). Let j(p) = 2*p - 1. Let c be j(2). Solve k = -c*l + 2*x + 5, o*l = 5*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*16\/(-360)*114\/4. Suppose 23*l - d*l - 32 = 0. Let s = 0 + 1. Calculate the lowest common multiple of s and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132666486*p - 7639223 wrt p.\nAnswer: 132666486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -782 + 749. Let k = -27 - g. Let u be 2 + (-28)\/15 + 0. What is the nearest to k in 4\/7, u, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -349998*b - 6. Let d be s(3). Round d to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 6*j**2 - 31*j + 393. Let q be d(8). Solve 12*m + 5*z - q = 15*m, -3*m = 3*z - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3219 * 0.46\nAnswer: -1480.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 215 = -4*w, -3*h + 221 = 8*w - 4*w. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -d - 18, 5271 = -2*z + 2*d + 5283 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*g + 55 + 57, 4*c + 2*g = 222. Suppose -3*h = 2*h - c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3919 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 24733331 = -46*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34145153 (base 6) to base 11\nAnswer: -650857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/13)*j)\/(j\/(j**10*j)))\/(j**(1\/20)\/(j*j\/(j*j**(-3\/14)))) assuming j is positive.\nAnswer: j**(21859\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6632954.\nAnswer: 2, 283, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c + 12. Let w(o) = -4. Calculate n(a) + 4*w(a).\nAnswer: 7*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*c = -2*j - 30, 0 = -2*c - 2*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 23.2. Which is the closest to p? (a) -2 (b) 1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/(-13) + 3\/(-1). Let g be (14\/(-5))\/(-1) - p. Which is the closest to -2? (a) -0.4 (b) -2\/17 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299396739 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 7980?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 + 163 + 9*y)*(-10*y**3 + 72*y**3 + 21*y**3).\nAnswer: 747*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/731 in -3, 91, -2\/13, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 420 in descending order.\nAnswer: 420, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Calculate the greatest common factor of 15 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/56 - (-95)\/252 and 71\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 4*y**4 - y**4 + (2*y - 2*y - y**2)*(-675*y + 1339*y - 5*y**2 - 667*y + 8).\nAnswer: 7*y**4 + 3*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8764.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 77*z**2 - 48*z - 372. Give y(-38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 66\/5 (b) -2\/25 (c) 25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 3971526*j**3 - j + 3971525*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4 - 4) + 0 + (11 - 26)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22258 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let w(n) = -n**2 + 0 - 1 + 2*n**r. Let o(d) = -8*d**2 + 8. What is o(f) + 10*w(f)?\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -47705116 != -47705116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -205252 - 33444?\nAnswer: -242026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 23*r + 3488. Does 8 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -68*o**3 + 18. Let x(m) = -68*m**3 + 17. Let h(i) = -6*k(i) + 5*x(i). What is the derivative of h(r) wrt r?\nAnswer: 204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101862*p + 3*p**3 + 10*p**4 - 1 + 2*p**2 + 2 + 101862*p as j*p + y*p**3 + l*p**4 + k*p**2 + n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-360)*45\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 268 (b) 0.03 (c) 4 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 196262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23, -3, -4 in descending order.\nAnswer: 23, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 12. Suppose -o = 5*k - 2*n - 19, 5*n - 5 = 0. Let a(f) = 2*f**2 - 4*f + 3. Let r be a(2). Put 5, k, r in increasing order.\nAnswer: r, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-117)\/13 - 7) + 13569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 0. Solve t = 4*i - 3 + 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 + 561*h**2 - 31125*h + 434007 = 0. What is h?\nAnswer: 21, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r**2 - 575043*r + 261390 = 0.\nAnswer: -17426, 5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128\/341 - 6\/31. Let g(o) = o**3 - 5*o**2 + 5*o - 4. Let t(z) = 4*z. Let u be t(1). Let b be g(u). Do b and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 40. Suppose -m*o - 138 = -11*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {u: 1, a: 2, g: 1, r: 1, p: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1331.\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 3*b + b + 3*b - b + b + 2*b - b + 0*b + (0 + 0 + 1)*(1 - 1 + b) - 3 + 3 + 3*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -o - 4*o. Suppose -o = -4*m - 6. Let g be m\/18 + 11\/3. Solve -1 + 9 = g*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 24 - 68*f**3 + 0.\nAnswer: -68*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 13*n**2 + 26*n - 38. What is the remainder when k(12) is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*t = -3*b - 5, -3*t = 2*b - 10. Suppose -b*y - 164 = -z, 4*y - 191 = -2*z + 179. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -37.31?\nAnswer: 37.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 18 = 3*v. Suppose 0 = -5*f - v + 109. Suppose 0 = -9*o + 4*o - f. Which is the biggest value? (a) -2 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/3079?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32867, -65732, -98583, -131414, -164219?\nAnswer: -196992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35234143 - 0?\nAnswer: -35234143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 8*h - 12*h + 82, 0 = 4*h + b - 74. What is the remainder when h is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**2*s**3 - 8*p**2*s - 1004*p**2 + 3*p - 274289*s**3 + s + 1 wrt s.\nAnswer: -18*p**2*s - 1645734*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 4\/3*y**3 - 26*y**2 + 88 + 0*y. Find g, given that z(g) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23444 - -23448. Let p(w) be the first derivative of 1\/5*w**2 + 3\/10*w**f + 4\/3*w**3 - 11 - 12\/5*w. Factor p(y).\nAnswer: 2*(y + 1)*(y + 3)*(3*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87 + 10*u + 87)*(0*u + 1 - 2*u + u) - 2*u**2 + 7*u**2 - 3*u**2 to the form r*u + f + m*u**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/120 + 7*a**5\/60 - a**4\/12 + 5*a**3\/3 - 5*a**2. Let t = -71 + 78. Determine x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(5\/4)*w))**(-2\/57) assuming w is positive.\nAnswer: w**(5\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 162495879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -569141620.5 to the nearest 10000.\nAnswer: -569140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 u when three letters picked without replacement from {z: 4, u: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 minutes after 1:02 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2197, -5\/8, -4.\nAnswer: -4, -5\/8, 2197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 2. Let c(a) = a - 1. Let i(j) = -2*c(j) + q(j). Let v(z) = -1324697 + 1324697 - 117*z. What is i(v(h))?\nAnswer: -351*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 47 = 38. Let c = i + -21. Let m = -176 - -176. Sort -18, m, c in increasing order.\nAnswer: -18, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/9 + 1125866*n**2\/9 + 9006640*n\/3 + 18013088 = 0.\nAnswer: -562909, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + l + 9. Let g be q(-3). Suppose -4*r - g = -8*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1608714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 q when four letters picked without replacement from quvvqffffufq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 + (6\/(-4))\/(1\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -2*k**6\/15 - 3*k**2\/2 + 11*k + 15. Let c(j) be the first derivative of p(j). What is the derivative of c(a) wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 9:41 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 11 - -15) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*f + 66. Suppose -b + 13 + f = -5*l, 4*b - l - 44 = 0. Solve 5*i = -0*i - b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -19*w + 221. Calculate the remainder when 277 is divided by j(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132440660 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488837?\nAnswer: 163, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (-2 + sqrt(1872))*-3) + -2*sqrt(117)*4 + (3*(sqrt(1300) + -1) - sqrt(1300)))**2.\nAnswer: -448*sqrt(13) + 13361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 3. Is -1\/28 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = w - 21, -2*w = 38*g - 28*g + 48 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-160)\/15 + (-1)\/3. Let x(k) = -15*k - 10. Is x(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m + 1. Let x be 1*2\/4*-2. Let t(d) = 35*d - 24*d - 9*d - 1 + 5 + 5*d**2. Give x*t(c) + 4*a(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4035 - -4034. Which is the nearest to -0.1? (a) j (b) 3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 18*k + 13. Let p be 1 + 6 - (14 - 11). What is the hundreds digit of x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -950, -3470, -9132, -19508, -36170, -60690, -94640, -139592?\nAnswer: -197118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 4:27 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -596630 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 + 1115*f**4 - 55670*f**3 - 730710*f**2 - 1289925*f - 616005 = 0.\nAnswer: -9, -1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/19 - -1\/76. Suppose -2*y - 2*v = -1 + 13, 3*y - 5*v - 22 = 0. What is the nearest to 0 in y, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7350 or 7345?\nAnswer: 7345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82260246 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 21406602 (base 7) in base 9?\nAnswer: 3405180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 2 (b) -4 (c) -3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512489843, -512489847, -512489851, -512489855, -512489859, -512489863?\nAnswer: -512489867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451241 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15596256 and 288?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8447*g = 8483*g + 396 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -1. Let c = 0 - g. Which is bigger: c or -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1133544?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -4, -0.25, -3, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 1, i: 2}. Give prob of sequence iis.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2 + 95*p - 29*p + 5*p**2 - 29*p + p**3 - 33*p + 1. Calculate r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2234, -8949, -20168, -35915, -56214?\n\"Answer: -4*t**3 - 2228*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4950.249ml?\nAnswer: 4.950249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 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 r(a) = a**2 - 24. Let c be r(6). Let z be ((-18)\/24)\/(2\/(-8)). Suppose 0 = 4*b + 4*v - c, -5*v + 19 = -z*b - v. Sort 6, 1, b, 2 in descending order.\nAnswer: 6, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6222 greater than -6222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7054151 is divided by 1780?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*x + 14, -x - 5*f = 2*x - 11. Let u be x\/(-9) - (-74)\/(-6). What are the prime factors of 4\/u + 31\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*s = -1102*s - 1392*s + 205*s + 92463 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -1, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20714717?\nAnswer: 41, 505237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 21*j + 20. Let p be (-5 - -7)*(-10)\/(-3)*3. Let i be k(p). Suppose i = -5*l + 4 + 96. Solve -l = 3*u + u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*o**3 + 93*o**2?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-10)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:16 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-260)\/84 - -3)*3*-23401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -31.89. Which is the smallest value? (a) d (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3809 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8 + 1?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p + 48 + 87 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 257*h - 2. Let b(y) = -2*y - 3938. Determine b(v(r)).\nAnswer: -514*r - 3934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = -11 - 9. Sort k, 2, -4, 4 in decreasing order.\nAnswer: 4, 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1.5, -0.1, 0.5, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*h**2 - 33*h**2 - 32*h**2 to the form t*h + l*h**2 + b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/168576 and 107\/19500.\nAnswer: 273936000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 5, p: 4, t: 1, w: 6}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1.21. Let w = 7.51 + -8.1. Let h = w - s. Which is the closest to -4\/5? (a) 0.5 (b) -3\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x**3 + 2*x**2 - 70*x + 172. Calculate c(5).\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 395 = 8*z. Suppose 4*y = 5*u + z + 448, y - 169 = u. Is 3 + (-4 - u) + -2 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfttnuopttt. Give prob of picking 1 t and 1 o.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2183, -2\/3, -2\/651 in increasing order.\nAnswer: -2183, -2\/3, -2\/651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -2\/3 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543575 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3) + 1 - (4 - 7). Let l(p) = 0*p**3 - 2*p**3 + 2*p - b + 6*p**2 - 6*p**2. Calculate l(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 617753 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54453124 + 135?\nAnswer: 54453303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 895*b - 104*b + 113 - 228 + 115 to the form d + i*b and give i.\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/51*(9 + -13) + 10)*-6?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 4:43 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1085 and 2170.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 856170 and 223230?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49330.81 micrometers in nanometers?\nAnswer: 49330810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 + y - 2. Let l be t(0). Let d be l\/(-4) + 14\/4. What is the second derivative of 2*p**d + p + 2*p + 0*p wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 455, -507.\nAnswer: -507, 84, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(6\/5))\/(l\/l**6))\/(l\/(l\/(l*l\/l**(-2\/7))))**(-2\/25))**(13\/3) assuming l is positive.\nAnswer: l**(11336\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530289 is divided by 66277?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - -2.1. Let o = -8 + 12. What is the biggest value in -5, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/73 (b) 8 (c) -3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -84\/13, 0, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1199 and 514602?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 793128*h - 18*h**2 - 2*h**3 - 19*h**2 + 37*h**2 - 793128*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(891) + -2 - sqrt(396)*1).\nAnswer: -18*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i + 6. Let n be f(0). Let u be 5\/(-5)*(n + -1). Let b(l) = -6*l - 4. Let t be b(u). Solve -2*y - 10 = 0, 2*a = 4*y - 2 + t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -436 - -1023050?\nAnswer: 1022311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 216196087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*2 + sqrt(153) + (sqrt(153) - (sqrt(153)*3*-1 - sqrt(153))))\/(2*sqrt(108)\/(sqrt(12) - (sqrt(84)*2)\/sqrt(7))).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(76) + sqrt(76))*5 + -5*(sqrt(76) - 2*sqrt(76)))*-5)\/(((2*sqrt(16))\/sqrt(4) + sqrt(100) + (sqrt(100)*2 - sqrt(100) - sqrt(100)))*3).\nAnswer: -25*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-264810)\/(-100))\/13 + (-12)\/(-40) and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let o(c) = 4*c**2 - c - 8. Calculate 6*m(a) - 2*o(a).\nAnswer: -2*a**2 + 2*a + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5055395 times -1.7?\nAnswer: 8594171.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 423 + -421. Suppose -m - w*m + 4*l = -2836, 4*m - 2*l - 3798 = 0. Is 56 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1760 + -1764. Let n = -18\/11 + 177\/88. Let k = 2 + -1. Which is the nearest to k? (a) m (b) 3\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325 a factor of 402211950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/31782443 and -47\/437624.\nAnswer: 254259544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.15 (c) 747\/10 (d) 18 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 477*h + 1766. What is the units digit of g(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -172*y**2 + 35. Let k(u) = -246*u. Give f(k(t)).\nAnswer: -10408752*t**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835827489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98390 and 796959.\nAnswer: 7969590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -2, 595, -3, -1 in descending order.\nAnswer: 595, 5, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q**3 - q**2 - q + 1. Let m(s) = -s + 7. Let b be m(6). Calculate the remainder when 18 is divided by y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4 = -8*b + 6*b, 5*o - 2*b - 28 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75136621 a multiple of 1089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*2*1)\/(4*sqrt(99)) + (((sqrt(275) - 2*sqrt(275) - sqrt(275))*-4 - sqrt(275)) + sqrt(275) - (0 + sqrt(275)*2 + sqrt(275)))**2.\nAnswer: sqrt(11)\/6 + 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (192\/(-18)*-3)\/1. Which is greater: r or -31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 0)*(-7*d + d + 0*d) - d - 3*d + 3*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 817809\/230380 + 2\/11519. Find the common denominator of o and 95\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -697 + 729. Calculate the highest common factor of r and 1024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from ccco?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 1. Let m(h) = 8*h + 6. Suppose -24*q - 25 = -29*q. Let s(g) = q*f(g) + m(g). Determine s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271842?\nAnswer: 2, 3, 45307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = 0. Let n(k) = -3*k**2 - 7*k + 0*k**2 + 5 + o*k**2. Let d(r) = -r**2 - r + 1. Let t be -2 - (-2 + 4 - 3). What is t*n(h) + 5*d(h)?\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37810267*y**4 - 39*y + 202171 wrt y.\nAnswer: 453723204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 3*s - 52\/3.\nAnswer: (s - 4)*(s + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0*t + 0 + 8\/3*t**3 + 1\/4*t**4 - 4*t**2. Let b(g) = -g - 3. Give -16*b(x) - 3*p(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.73 + 27991203\nAnswer: 27991203.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57545362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 26 = x - 45 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147473 = 4*t - y - 120928, 0 = 4*t - 3*y - 268411. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 43*y**2 - 354*y - 140. Give c(8).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-11 - (17 - 32))) + -24 + 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}