diff --git "a/data/dm_maths/full_data_2/10244_11255.jsonl" "b/data/dm_maths/full_data_2/10244_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10244_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from ooooopopooppppoooo.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -121\/111953?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 87*y + 82*y - 110, 4*y = -c - 55. Let t(a) = -2*a**3 - 111*a**2 - 54*a + 62. Let z be t(c). Solve -4*i + z*i = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, a: 3, t: 5, d: 5, k: 5}. What is prob of sequence ddkd?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 9204 and -4.\nAnswer: 9200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 24425?\nAnswer: -24425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -0*n - 154. Suppose -5*a + 6 = 5*v - n, 3*v + a - 16 = 0. What is the lowest common multiple of v and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 - 0\/(-2). Let p = j - 4. Let h = 3 - 4. What is the closest to h in 0.2, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -19*p**2 - p. Let r be x(1). Let c(k) = k**3 - 3*k**2 + k. Let v be c(5). Let t = v + r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/7 - 50*k**2\/7 + 58*k - 154 = 0. Calculate k.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58371174252934 and -17.\nAnswer: 58371174252917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -404.854 - -0.854. Let o = u + 161. Let t = o - -242.999899. Round t to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 13*q + 80 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m. Let c be i(5). Let v = 44 - c. Let f = 0 - v. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (876*i - 435*i - 439*i - 30)*(5 - 13 + 3)*(-2*i - 7*i + i).\nAnswer: 80*i**2 - 1200*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-144)\/30 - -5)\/((-5)\/(-275)). Suppose -a*k = 3*k - 28. Let g(c) = 6*c - 11. Calculate g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:10 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -25743?\nAnswer: -25746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3\/8)\/(297\/(-132))*(-60)\/(-70).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, s: 7, t: 4, m: 1, p: 2, g: 1}. Give prob of sequence gmk.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -55, 4 in ascending order.\nAnswer: -55, -2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2\/((r\/(r*r\/r**18))\/r)*r**(-3\/31)\/r*(r*r**(-14\/5)*r)\/r assuming r is positive.\nAnswer: r**(-2619\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, -95\/2, -4, 2, 8\/15, -3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1266 + -1271. Put -6, 1\/4, q, -0.1 in decreasing order.\nAnswer: 1\/4, -0.1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46655 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14345018?\nAnswer: 2, 229, 31321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -468 - 61. Let i = s + 754. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 x, and 2 s when four letters picked without replacement from {s: 5, o: 1, v: 2, a: 4, x: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19803526801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -2) + (-1 - 11). Let c = l - -11. Suppose -5 = -5*r, 5*z - c*r = 3*z + 148. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**4 + 2*v**2 - 2*v**2 + (26*v**3 + 4*v**3 + 39*v**3)*(-v + 0*v + 3*v) to the form p*v**2 + b + g*v**3 + a*v + r*v**4 and give r.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 41. Let p be v(21). Let o be (-62)\/p + (-1)\/10. Calculate the highest common factor of 9 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1061*q - 1053*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/19 + 248310*h**4\/19 - 7707356150*h**3\/19 + 7705121370*h**2\/19 + 61659842560*h\/19 - 92485294296\/19 = 0.\nAnswer: -3, 2, 62077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127256, 509117, 1145552, 2036561, 3182144, 4582301, 6237032?\nAnswer: 8146337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.93 + -0.07. Let k = 0.40092 + -0.10092. What is the closest to k in h, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(26)\/sqrt(18) - (sqrt(117)*1 - sqrt(117))\/sqrt(9))**2 + (-6*sqrt(52) + (3 + sqrt(637) - sqrt(637) - sqrt(637)))**2.\nAnswer: -114*sqrt(13) + 42383\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s = -13*s + 604 + 254 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.4 (c) 2 (d) 5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (164 - 175 - (-14 - 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 4.2, -105513 in decreasing order.\nAnswer: 4.2, 1\/5, -105513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66708830?\nAnswer: 2, 5, 6670883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50783 (base 9) in base 15?\nAnswer: 9d9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + -1*sqrt(2057))*3)**2 + (4*(sqrt(170) + sqrt(170)*-2))\/(-1*sqrt(40)))*-1.\nAnswer: -18549 + 394*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(567)*-1 + sqrt(567) + 3 + -1*sqrt(567))**2.\nAnswer: 216*sqrt(7) + 9086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, d: 1}. What is prob of picking 2 n and 1 d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (12 + -1 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148 + 162 - (-4 + 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7768696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 16*i**2 + 2*i - 31. Give v(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 + -152. Suppose -l + 6*l - n = 0. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 108?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 32 = -5*m, 2*m + 0*d + 4 = 4*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*p - 11 = -0*p, -23 = -5*k + 3*p. Suppose k = 4*d - 12. Let b be (-19)\/(-38) + (-3)\/d. What is the closest to b in 7, -1\/10, 2\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + -47. Suppose -24 = 2*d - 46. Suppose -d - 4 = -3*p. Solve 10 = -l + x, p*x = 4*l - 0*x + z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 4*q**2 + 3*q - 4. Let v(t) = 6*t**3 + 11*t**2 + 8*t - 11. Determine 11*f(s) - 4*v(s).\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**2. Let i(g) = 58*g + 14. Let z(l) = -12*l - 3. Let u = -176 - -162. Let j(f) = u*z(f) - 3*i(f). Calculate j(c(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, and 1 e when three letters picked without replacement from wwokoeeweowepowe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3341*c - 16 = -3339*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59478\/49565)\/(3\/95*-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104852 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 + 724 = 10*d. Suppose -d = -h - 4*h. Suppose h*p - 105 = 3*p. Solve 0*j - p = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*p + x + 10730415, -4*p - 8584338 = 2*x. Let n be p\/(-6)*18*1. Suppose u - n = -2138246. Round u to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/25*(-75)\/45)\/(10\/(-330))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5785049 is divided by 321.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 84*y**3 - 14*y**2 + 14*y + 14. Let h(o) = 17*o**3 - 3*o**2 + 3*o + 3. Give -28*h(w) + 6*s(w).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69124968 and 2068.\nAnswer: 69124968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*k - 246, -2*k = u - 2*u + 63. Let a = -31 + u. Let q = -17 + a. Calculate the greatest common divisor of q and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 5\/4, 0.\nAnswer: -0.4, 0, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uns when three letters picked without replacement from {g: 1, m: 1, n: 2, u: 3, e: 1, s: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i - 3. Let k(x) = -26*x**3 + 16*x**2 - 16*x. Let p(n) = 5*n**3 - 3*n**2 + 3*n. Let d = -6 + 4. Let y = -18 - d. Calculate i*k(h) + y*p(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116.2 - -116.19531. Round q to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 288*n**3 - 6804*n**2 + 52488*n.\nAnswer: -4*n*(n - 27)**2*(n - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324 is divided by 285?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j. Let n(h) = 13*h. Let f(g) = 4*n(g) + 9*w(g). Let u(v) = 939*v - 1884*v + 945*v - 6*v**2. What is f(u(t))?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 104 and 6322193?\nAnswer: 6322089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + 2*a = -4, -5*o = 3*a - 20. Suppose 0 = -5*m + 6 + o. Solve -m*c = -2*b + 6, 3*c + 4 + 5 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 246.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/5, 0.2, 2\/3, 28, -0.49?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(1 - -1) - 0. Let j = d + 33. Suppose -5*t + j + 53 = 0. What is the remainder when 41 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/(-54) + (-1)\/(-3). Let x be -1*(-2)\/(-5)*5. Let h(u) = 4*u + 1. Let z be h(-1). Sort r, x, z in ascending order.\nAnswer: z, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 2\/9, -5\/6, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -22*a**2 - 11. Let z(n) = 7*n**2 + 4. Determine -4*t(i) - 11*z(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1377) + sqrt(1377) + 2 + -2 + sqrt(1377) - sqrt(1377)) + (-5 + 2*sqrt(1377) - sqrt(1377)))*-2)**2.\nAnswer: -1620*sqrt(17) + 49797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 124289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(2*b - 2*b - b) - b + 2*b + b)*(2 + 4 - 7) - 3*b + 0 + 0.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2938*j + 29233. What is v(10)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 43 = -5*d + 2*f, 2*d = 3*f - 21. Let w = d + 6. Calculate the remainder when 42 + (-12)\/w + -2 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6583 - 4360. Suppose 12*h = m - 63. Suppose 3*r - h = 96. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 61362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -87*u + 88*u + 3*w, -3*u - 8 = -2*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5856*t + 145 = 5860*t - 0*v + 3*v, 9*v + 75 = 3*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, r: 4, h: 6}. What is prob of picking 1 r and 1 h?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-101)\/(606\/72)*(-5)\/(-100)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104286 is divided by 166.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -9*f**4\/2 + f**3 + 2*f**2 + 35*f + 75. Let k(p) be the first derivative of l(p). Find the second derivative of k(x) wrt x.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -58*k**3\/15 - 2324*k**2\/15 + 10048*k\/15 + 704\/15 = 0?\nAnswer: -44, -2\/29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -14. Suppose -3*k = x, -k + 250 = 2*j + 3*j. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 11:05 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + -2 + 1 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Suppose -4*b + 2 + 2 = a. Let p be b\/2 + 9\/2. Solve 9 = -p*s + 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64662, 129281, 193900?\nAnswer: 258519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96.2? (a) -2\/17 (b) 2\/9 (c) 185\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = y - 4, 3*z = -4*y + 8. Suppose 31*b + 121 = 99*b - 15. Put 3, b, z, 5 in ascending order.\nAnswer: b, 3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.905 + 0.805. What is the closest to j in 31\/4, -1, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -556640*l**4 - 176*l - 860 wrt l.\nAnswer: -6679680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53471520 divided by 523?\nAnswer: 102240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*42\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6670*m**5 - m - 1857.\nAnswer: -133400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + v + 1. Calculate q(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*w - 64, j - 4*w + 0 = 10. Let v(l) = 49*l - 25*l - j*l. Let c(q) be the first derivative of 2*q**2 - 2. Determine c(v(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (3 + -5)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/2))**(-24)\/(((x**(-2\/7)\/x*x)\/x)\/(x*x\/((x*x**4*x)\/x)))*(x**(2\/13)*x**1*x)**(-9\/5) assuming x is positive.\nAnswer: x**(-8004\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -167?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 152*m**2 - 416*m + 84137. Determine w(-158).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729101240.\nAnswer: 2, 5, 7, 2603933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 4. Suppose 0 = 4*m + 2*t - 10, 5*m - 7 = t + 16. Calculate c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2962 + 2.7038. What is the second biggest value in -2\/7, c, 0, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/734 (b) 0.4 (c) 4 (d) 252\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 8:34 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 6 = -7*h. Let v(j) = j**2 + 0*j**h + 0*j**2. Let a(r) = -2*r**2. What is v(a(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*a = 3*a + 1, a - 23 = 3*y. Let g be (2\/y)\/((-7)\/9). What is the smallest value in -3\/4, -3\/2, g?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2))**50 assuming w is positive.\nAnswer: w**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -0.53.\nAnswer: 0.0636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 61.73557.\nAnswer: -24.694228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -2\/3 (c) -5 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24729497 by -1.\nAnswer: 24729497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (2 + -4 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5916 and 241570?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -140*h - 964. Calculate c(-5).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1275 + -1272. What is the smallest value in -1\/4, f, 2\/305?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + 122?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/170*120\/(-96)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464622 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218*r + 3*r**3 + 31*r - 40*r**2 + 499*r + 33*r**2 + 572*r wrt r?\nAnswer: 18*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38797 - 56466.9\nAnswer: -95263.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*u + 12, -5*y + 8 = 2*u - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 2. What is the smallest common multiple of 11 and z(-12)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/4 - (-1)\/2. Let i(u) = u**3 + 8*u**2 - 12*u - 25. Let p be i(-9). Solve -p*v - 5*f - 5 + 0 = 0, 2 = w*v - 2*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -374, -425, -316, 7, 598, 1511, 2800?\nAnswer: 4519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 101453?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 17 - 2*q)*(-7 - 2*q**2 + 7) as b*q**3 + p*q**2 + v + o*q and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5097*j**3 - j + 4332*j**3 + 0*j + j**2)*(-4*j - 2*j + 5*j).\nAnswer: 765*j**4 - j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1)*1\/11. Let b = -925 - -455. Let v = b - -472. What is the third biggest value in w, 5, -1, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70171.99 decades to months.\nAnswer: 8420638.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 680039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/3 + 196*w**4 - 18252*w**3 + 466560*w**2.\nAnswer: -w**2*(w - 480)*(w - 54)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4809011\/222 - -21662. What is the common denominator of 107\/222 and s?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.262 + 2.738. What is the closest to -0.1 in -2, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10925.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, c: 4, n: 1, e: 5}. What is prob of sequence tc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/21 - 2*z**2\/7 - 6*z\/7 + 18\/7 = 0. What is z?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t - 5. Let n(f) = 5*f + 3. Let m(r) = 4*b(r) + 7*n(r). Let s be m(-2). Solve 0 = 3*d + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24457 and -191326246.\nAnswer: -191350703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 14*t - 435 = -5*w, -w + 111 = -5*t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76 + 232?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/10066?\nAnswer: -3\/10066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*l**2*w - 19147*l*w - w - 1260880 wrt l.\nAnswer: -70*l*w - 19147*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 b, and 1 m when three letters picked without replacement from bbcmmmabmmmmmmbbt.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3824 - -3826. Which is the fifth smallest value? (a) -2 (b) 3 (c) -0.5 (d) z (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000456 rounded to 7 decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 12*g. Give a(15).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 2*f - y, -5*y - 25 = -15. Let n = 91 - 44. Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 816277.2 millilitres?\nAnswer: 816.2772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129322.6 nanometers to kilometers.\nAnswer: 0.0000001293226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -611017 (base 8) to base 10\nAnswer: -201231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 176681*s**3 + s - 74368*s**3.\nAnswer: 102313*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from qbbyqyyybbbbbfb.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 + -8 + (1 - -2) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2259 and 125\/1506.\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/(-15))\/7)\/(51\/(-54))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfzzuxzgzxbzzuzu. What is prob of picking 1 g, 1 x, and 1 b?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (17 - (6 - 3) - 14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*q + 26. Let l(v) = -10*v - 4. Let a be l(q). What is the highest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + -0.36. Let y be 2 - 3 - (-8)\/9. Let l = y + 13\/36. Do k and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*j + 14, 2*j = -2*c - 1 + 3. Let u = 8 - j. Let v(o) = -5*o**2 + 2*o - 2. Let s(k) = -6*k**2 + 3*k - 2. What is u*v(z) - 4*s(z)?\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.09999845 + -9.1. Round q to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52957*z**4 - z**2 + 11150*z + 1.\nAnswer: 635484*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/19))\/x)\/x)\/x**(-18) assuming x is positive.\nAnswer: x**(321\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - 3.6. Let b = -1.4 + 1.8. Let k = 10.59 - 10.09. What is the second smallest value in b, r, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 1.6?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) -0.54 (c) 0.107 (d) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2\/175, -3, -2\/7 in descending order.\nAnswer: 2\/175, -2\/7, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/20)\/((-96)\/(-80))*-12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8578810 (base 10) to base 5\nAnswer: -4144010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 - 60\/(-14). Let w = 2.8 + 12.2. Let t = w + -19. Which is the nearest to -1? (a) m (b) 1\/10 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - 1) + (-66 - -71) + 14 + -3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/9)\/f**(-2\/21)*(f\/f**(-1))**(-1\/53) assuming f is positive.\nAnswer: f**(-550\/3339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1, 0, -66, 0.5, -4331 in decreasing order.\nAnswer: 0.5, 1\/3, 0, -1, -66, -4331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3436.71 months?\nAnswer: 0.2863925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 4*y - 4*y)*(84*y + 52*y + 41*y).\nAnswer: -531*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -794a - -b?\nAnswer: -793b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1360\/544*148\/(-35))\/(3\/(-42)*-8).\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 109*k + 110*k - 228*k**2 - 2 + (1 + k - 1)*(-29 + 29 - 9*k).\nAnswer: -237*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.6, 0, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 45. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((-456)\/1064*(-224)\/24)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p + 4. Suppose v - 16 = -3*v. Let j(x) = -3*x + 3. Let f(i) = -9*i + 9. Let o(k) = -2*f(k) + 7*j(k). What is v*z(u) - 6*o(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 14*n + 1760 = 54*n. Solve 25*s = n*s + 114 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95316581 is divided by 628.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/25 (b) 2\/11 (c) -3 (d) 34 (e) -0.2 (f) 8 (g) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.824 + -21.824. What is the smallest value in 3.2, q, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 15. Let x = r - -13. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**24\/w)\/(w**(-6)*w)*(((w*w\/w**(-1\/3))\/w)\/w)**44)**(-5\/4) assuming w is positive.\nAnswer: w**(-655\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6*(-104)\/702144)\/((-8)\/(-12633)). Let l = p - -7\/2438. Find the common denominator of l and -19\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 9*x**4\/4 + x**3\/3 + 2*x + 3. Suppose -18 = 590*a - 599*a. What are the prime factors of q(a)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 1054122?\nAnswer: -1054121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 62*m**2 + 56*m + 826. Let q be v(-13). What is the highest common divisor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*r + 34, 102*r = 103*r - b - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -496.86114 rounded to the nearest 10?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, e: 2, n: 1, d: 4, p: 2, i: 1}. Give prob of sequence npd.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -3. Let m be (-1)\/f + 15\/9. Suppose -3*x + 2 + 1 = d, -3*d + 16 = m*x. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*q + 2*q, -2*q - 30 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1372 by 2.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 235551104 (base 6) to base 12\nAnswer: 15bb494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 78*w**2 - 30*w + 356. List the prime factors of c(-45).\nAnswer: 2, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 373 + -116. Suppose p = -2*b + 669. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrrgrgrggnrrg. Give prob of sequence nr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 16, d: 3}. Give prob of sequence dodd.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - q + 160. Let b = -53 - q. Suppose -3*t + b = -3. Solve l + 3*s - 10 = -0*s, -2*l + t = 4*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1442 - 432605?\nAnswer: -434350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41926920?\nAnswer: 2, 3, 5, 7, 19, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -324124312 (base 5) to base 15\nAnswer: -1c878c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -15*r**2 - 9*r + 4. Let y(t) = -8*t**2 - 5*t + 2. Determine 4*c(w) - 7*y(w).\nAnswer: -4*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-23949\nAnswer: 14369.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose -1 - 9 = o*f + b, -13 = 3*f + 4*b. Let d = 0.5 + 1.5. What is the nearest to -1\/4 in d, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-1\/4)*f))\/f)**(-32)*(f**(-2\/29)*f)\/f**(-4) assuming f is positive.\nAnswer: f**(2231\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 26241?\nAnswer: -26233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 234768 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -814964?\nAnswer: -814955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/25 - 43\/75. Let j = 0 - -0.4. Which is the closest to -1? (a) j (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/249991 - -3499879\/1249955. Suppose 4*p + 27 = -3*i - 2*i, 2*i + 3 = p. Which is the third biggest value? (a) p (b) m (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*f - 1 + 1 - f + (-2*f - 2*f + 2*f)*(2 + 0 + 0) + f + 3*f - 2*f - 1)*(-f - 2*f + 2*f).\nAnswer: 5*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 237b - -12?\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93\/205 - 6\/41. Let d be ((-4)\/(-10))\/((-1)\/5). Let o = d - -4. What is the third biggest value in o, g, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - (-876)\/(-54). Let u = j + 19. Solve u*h = -h - 5*z, 3*z = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96801, 96771, 96721, 96651, 96561, 96451?\nAnswer: 96321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a + 2. Let b(t) = 6*t - 2. Let m(q) = 5*b(q) + 4*l(q). Determine m(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344670 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3617151 - 4*p**2 + 3614918 + p**2.\nAnswer: -3*p**2 - 2233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -12*n**5 + 5824*n**4 - 790860*n**3 + 30346936*n**2 + 52261872*n + 21118240 = 0.\nAnswer: -1, -2\/3, 71, 130, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -302400 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - u**2 - 5*u**2)*(17042 - 1454*u**2 - 17042) in the form s + n*u + o*u**4 + t*u**3 + f*u**2 and give o.\nAnswer: 4362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001000 - 10110101000?\nAnswer: 1000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 1458. Let o be z(0). Suppose 51*a = 45*a + o. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 4338 = 185*a - 751 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 3)*(0*i**2 + 0*i**2 - i**2)*((-5 + 0 + 3)*(i + 5*i - 2*i) + 66 - 66 - 10*i + 2*i - 2*i - i) as j + r*i**2 + k*i**3 + u*i and give k.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25573 and 717.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 256b7 (base 13) to base 15\nAnswer: 157d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*u**2 + 3)*(292 + 122 - 238).\nAnswer: -352*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/6 + 33*o**2\/2 + o. Let a(h) be the third derivative of -h**4\/24 + 53*h**2 - 76. Give a(i(f)).\nAnswer: 2*f**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80754.38961 + -80754. Let f = w - 0.39. What is f rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30252444 - -34?\nAnswer: -30252410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 10. Let r be m(-7). Let c be r\/40*4*-70. Let d be ((-26)\/c - 1)*6. Put -5, d, 0.2 in increasing order.\nAnswer: -5, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 4\/((-8)\/(-6)). Find the second derivative of -6*n**5 - 7*n + 0 + 10*n**5 + g wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 + 14*m**4 - 39 + (2*m**3 - m**3 - 4*m**3)*(-2*m - 3*m + 3*m) + 0*m**4 - m**4 + 2*m**4.\nAnswer: 21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1900)*2)**2)*2.\nAnswer: 15190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by (-9 - -3)\/(-12)*158.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(30\/(-95)))\/(31\/62)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 2. Give i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is the next term in 14175, 14220, 14349, 14556, 14835?\nAnswer: 15180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6706908 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*q*v**4 - 3584*c**3*q*v**2 + 2*c**3 + 61632106*q*v**4 - 182*q*v**2 - 33*v**2 wrt v.\nAnswer: -24*c**3*q*v + 1479170544*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 12 = 15*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-4)*2\/(-12))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g - 1. Let p(t) = -t**3 + 5*t**2 - 7*t + 10. Let w be p(4). Let k(s) = -s**4 + 2*s**3 - s - 1. Let a(y) = w*b(y) + 2*k(y). Factor a(i).\nAnswer: -2*i**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 47*o - 4. Let g(h) = 5*h + 1. Let w be g(-5). Let x be t(w). What is the highest common factor of 80 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -15. Let c = -8 + m. Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11483*i + 46045. Give k(4).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 783, 795, 821, 867, 939, 1043?\n\"Answer: v**3 + v**2 + 2*v + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 188, -5, -2\/5, -32\/159, 5, -4\/5?\nAnswer: -32\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 120 = 15*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -3171\/5, -0.2, -0.3, -2\/5, 4, -0.03?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -5 - 5) + -4 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/220? (a) 0.2 (b) 0.72 (c) -10.1 (d) 5 (e) -2 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 - -97. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.41523 - -0.01523. What is the third smallest value in 1, 5\/3, c, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, -2, -1, -19.\nAnswer: -19, -2, -1, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/5 - 26*c**2\/5 - 46*c\/5 - 22\/5 = 0. Calculate c.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5589863, 3 in increasing order.\nAnswer: 0, 3, 5589863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3339 and 689?\nAnswer: 43407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 3, 2, 5, 0.1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 110\/(-132) - (267\/(-54) - -4). Which is the third biggest value? (a) 8 (b) -8 (c) m (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60082067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {k: 1, n: 8, m: 7, l: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 + 2*j**2 - j + 4. Let t be m(3). Let b = 20 + t. Let a = b + 102. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 2. Let g(f) = -f**2 + f + 3. Let l(r) = 3*g(r) - 5*o(r). Let c(h) = 2*h**2 + 4*h - 1. Suppose -3*z - 16 = -4. What is z*l(b) + 3*c(b)?\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 58, 42, 28, 22?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 246?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - -92. Suppose -70 = -4*w - 5*b, 0*w = a*w + b - 47. Calculate the smallest common multiple of w and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250000 rounded to the nearest ten thousand?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16817683 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, 7, -56.\nAnswer: -56, -16, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 44 = -8*q + 3*q + q, -33 = -s + 3*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8709787444 to the nearest one hundred thousand.\nAnswer: -8709800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r**3 + 4*r**2 + 4*r. Let n(h) = 261*h**3 + 81*h**2 + 81*h. Let k(i) = 8*i**2 + 45*i - 126. Let l be k(3). Give l*g(b) - 4*n(b).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119687819.\nAnswer: 1163, 102913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -934, -1870, -2806, -3742, -4678?\n\"Answer: -936*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.951782547168 and -600.\nAnswer: -600.951782547168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**4 - 15*h**2*r - 104*h + 377*r - 7 wrt h?\nAnswer: 12*h**3 - 30*h*r - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/25))\/(g**(1\/33)\/g)*g**(-31)*g*g**35)**(1\/11) assuming g is positive.\nAnswer: g**(5717\/9075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 321632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3 + 21*i + 20 = 0.\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 - 11322*r**2 - 827148*r - 13799448 = 0. What is r?\nAnswer: -46, -26, 3846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2069002\/713 - 20\/(-115)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -67*y**8\/28 - 29*y**4\/12 + 13*y**3\/3 - 7*y + 108. Find the third derivative of w(d) wrt d.\nAnswer: -16080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554537790 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**3 - 4*a**2 - a - 4. Let o(x) = 25*x**3 + 17*x**2 + 3*x + 17. Let d(v) = 9*n(v) + 2*o(v). Is d(-2) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -13. Which is the nearest to 0.1? (a) o (b) -0.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58543780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 2, k: 5}. Give prob of picking 1 k and 2 e.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(264)\/sqrt(24))\/(sqrt(24)\/(sqrt(294) + sqrt(294) + 2*sqrt(294) + sqrt(294) - sqrt(294))).\nAnswer: 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231 by -3.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypppyyypfypyyspypyfp. What is prob of sequence pfpp?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -167\/3. Let h = -8.1 + 8.245. Let v = h - -0.155. Put -0.4, x, 3, v in decreasing order.\nAnswer: 3, x, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -85.5. Is p greater than -1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.2 - -9.8. Let o = 1827 + -1830. Which is the nearest to q? (a) o (b) 5 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:38 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-8))\/(3\/(-4)). Suppose z*o - 7 = 1. Let j be -1 + 1 + 4 - o. Solve 4*p + 3 = m - 9, -5*p - 15 = -j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -299*z + 79. Does 25 divide k(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4559804362?\nAnswer: 2, 17, 134111893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-399))\/(85\/(-102))*21\/3.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 947711.0899978 + -947711. Let b = n + -0.09. What is b rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 8. Let n be q(-8). Let k = 36 + n. Suppose v = -k*v + 530. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from nuuoognuguonu?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1960\/(-1200) + (4 - -2). Let t = f - 25\/6. Let -3\/5 + t*w**2 + 2\/5*w = 0. Calculate w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179236416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 10980*k**3 + 2784248*k**2 - 182174364*k + 179401094 = 0. Calculate k.\nAnswer: 1, 131, 5227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (1 - 5) + 2. Suppose y = -v + 4. Calculate the common denominator of -41\/8 and v\/(-30) + (-427)\/60.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 4\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 2*b + 1. Let t be d(1). Let n = -5 - -1. Let r = -5.1 + 5. What is the nearest to r in t, n, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482025681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/5, 71.627, 4, -3\/2 in decreasing order.\nAnswer: 71.627, 4, 3\/5, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 + 34*z - 9828. Determine d(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(6\/5))\/p**(-14)*p*p\/(p*p*p**(-30))*p**23\/p)**(4\/13) assuming p is positive.\nAnswer: p**(1384\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.121, -5\/13, 213?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 8381264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*v + 8. Suppose -3*f + v*r = 3*r - 386, -4*f - 4*r + 528 = 0. Let i = -41 + f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * 2270\nAnswer: -476.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 2:26 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 0.12, -1, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = -3*z, 2*t - 15 = -z + 4. Let h = -3 - -6. What is the remainder when t is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 460445*w**5 - 208*w**2 - 61081675*w - 1?\nAnswer: 9208900*w**3 - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. What is the second biggest value in h, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/5 - 6117*y\/5 + 190008 = 0 for y.\nAnswer: -2184, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3286412 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -24, -74, -146, -246, -380, -554?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 548*j**2 - 14007*j - 6240. Give p(26).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66030\/(-105648))\/(2\/(72\/(-75))).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**2*w**3 - 2*t**2*w**2 - 4*t*w**2 - 23*t*w - w**3 wrt w?\nAnswer: 12*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-30))\/((-2 + -2)\/2)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 1111?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -1\/80*d**5 - d**2 - 3\/32*d**4 + 0 + 0*d - 1\/4*d**3. Suppose l(j) = 0. Calculate j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 13 = 3*k, -5*r = 15*k - 2*k + 59 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5343081 tonnes?\nAnswer: 534308100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2. Let c(y) = -26*y. Give g(c(a)).\nAnswer: 676*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 933870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42033, 42960, 44503, 46662, 49437?\nAnswer: 52828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690901665?\nAnswer: 3, 5, 1663, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.61731 hours to microseconds.\nAnswer: 31022316000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*w + 2*z = 494*w + 10, -2*w - 4*z = 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 2 + 2*k**2 + 9 + 2*k - 7 as n*k**2 + t + u*k**3 + p*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5180020 + -18630020. Round b to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17710 and 464002.\nAnswer: 2320010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 16*w**2 - w + 21. Let u be p(16). Find the second derivative of -239*d**3 - 58*d + 239*d**3 + 167*d**u + 17*d**5 + 218*d wrt d.\nAnswer: 3680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-6)*10\/(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 3:52 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109865628*d**2 + 13058*d - 6326 wrt d.\nAnswer: 219731256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*p - 5191 = -1744 + 5817 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.2 greater than 57122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 3314 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499375654?\nAnswer: 2, 7, 107098261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30502504 (base 6) in base 15?\nAnswer: -125804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*p + 65*p - 4*n - 13, -19 = 3*p + 4*n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -10200010?\nAnswer: 10200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1034 and 658.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 4*v - 3*v**3 + 3*v - 2*v + 3*v**4 - 3*v**2 + v**3 to j*v + i*v**2 + b*v**4 + u + n*v**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 10. Suppose -h*y - 3*y = -10. Is y\/3 - (-870)\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -20, -55, -90, -125?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24904 is divided by 719?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12078 and 72?\nAnswer: 48312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 446 - 402. Let x(k) = -44*k - 16*k**2 + d*k - 10*k**2 + 33*k**2. Let g(q) = 16*q**2. Calculate x(g(p)).\nAnswer: 1792*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 27)\/((-9)\/96). Suppose 2*v = -8, 2*x + 3*v = 2*v - y. Let t = -49 - x. What is the remainder when t is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238810 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 1\/4, -0.18, 10\/19 in increasing order.\nAnswer: -0.18, 1\/4, 10\/19, 99","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2124, -4588, -7052, -9516?\n\"Answer: -2464*k + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74081 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtm when three letters picked without replacement from {m: 10, t: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 27*i**2 - 87*i - 83. Let l be r(30). Let o be (l\/105*162)\/(3\/10). Solve 0 = -5*y - n + 4 - 20, -5*y + 4*n - o = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 8*i = -36. Let j = -5 + 3. Let t = i + j. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/198378 and 181\/2142.\nAnswer: 23606982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -161648, -161647, -161646, -161645, -161644, -161643?\n\"Answer: c - 161649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t)*(2 - 5*t - 2)*(2 - 2 - 3).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -60, -112, -190, -300?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6293*v + 6453*v = 11680 for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/985306 and -101\/124993104?\nAnswer: 874951728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003260957 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*i = 8, -5*z + 5*i - 386 = -376 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 2*v**2 + 0*v**2)*(7 - 3 + 11) + (-v + 1 - 1)*(v - v + v) - 2*v**2 - 3*v + 3*v.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 137 * -206\nAnswer: -28222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122111*h**3*z**2 + h**3*z + 338932*h**3 - 68*h**2*z**2 + 2*h**2*z + h - 4*z wrt z?\nAnswer: -244222*h**3 - 136*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*(f\/f**(-1\/9))\/f)))**(2\/15)*(f**(-10))**33 assuming f is positive.\nAnswer: f**(-8906\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5431*l**2 + 45*l + 24?\nAnswer: 10862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/3213 + 4966\/(-19992) - 3\/(-12).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 + 3 = 0. Let n be (q - -3) + (-6 - -4). Solve -7*p = -n*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 71*a**2 - 26*a**2 - 27*a**2 - 1)*(2*a**2 - a**3 - 2*a**2).\nAnswer: -18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s + 25. Let p = -256 - -260. Suppose p*b = 19*b + 15. Put b, s, -2 in decreasing order.\nAnswer: b, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(z - 3 + 3)*(-270*z - 793*z + 77*z).\nAnswer: -1972*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 35672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*i**6 - 582*i**2 + 257*i**6 + 927*i**6 - 3 - 67*i**2 + 4 wrt i?\nAnswer: 159720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 17140940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**4 + 9*i**3 + 4*i**2 - 5. Let p(y) = y**3 - 1. Let n(c) = -20*p(c) + 4*s(c). Factor n(a).\nAnswer: 4*a**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-6)\/10 + 130\/(-325). Let u(w) be the second derivative of 0 + 1\/12*w**4 + 0*w**y + 9*w + 1\/6*w**3. Factor u(v).\nAnswer: v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4056 + 7843. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b**2 - 3*b)*(1 + 3 - 2)*((4*b + 2*b - 5*b)*(-3*b + b + b) + b - 2*b**2 - b + (-56*b**2 - 23*b**2 + 12*b**2)*(-1 - 4 + 2)).\nAnswer: -792*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y - 69 = 0. Let l = -39 - y. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 - -202. Suppose 3*d + 3*l = 78, -3*d + w*d + l + 70 = 0. What is the remainder when 67 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-54)\/(-8))*245\/196?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -65, 4 in decreasing order.\nAnswer: 4, 0, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4235))\/sqrt(7))**2 + (sqrt(20)\/(sqrt(4) + -5*sqrt(12)\/sqrt(3)))**2.\nAnswer: 9685\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*s - 5*s**3 - 292*s.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {t: 1, n: 7, u: 11}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*n = 124, -3*s - n + 148 = -0*n. Let x = 70 - s. Calculate the highest common divisor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m + 1 - 1 - 6*m. Let p(a) = -a + a + 3*a. Calculate p(h(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9 = -4*y, -6 = 65*y - 63*y. Solve -s*p + 26 = 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*o - q + 20, -2*o + 8 = -4*q. Let a = -20 - -22. Let n(k) = 2*k - o*k + 2*k - a*k. Let r(z) = 2*z**2. Determine n(r(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-8) - 1 - (-75)\/(-270). Let v = -0.16 + 6.16. Is v < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1*(-3 - (-40)\/8). Solve -p - 3 = 0, s*k + 4*p = 9*p + 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(18)\/sqrt(2))\/sqrt(3))**2 + (-2*sqrt(216))\/sqrt(8) + ((2 + sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(3) + (sqrt(24)*-1)\/sqrt(8) + 0)**2.\nAnswer: -14*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/127 (b) 7 (c) -30 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66787926 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - ((-1936374)\/(-9))\/((-6)\/45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 12:20 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -4369.53?\nAnswer: -436.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 0*f**4 + 0*f**5 - 30\/7*f**7 - 19\/3*f**3 + 0*f**2 - 3 + 0*f**6 + 0*f. What is the third derivative of n(a) wrt a?\nAnswer: -3600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < 958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -421 - 9140?\nAnswer: -9561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398460 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: Let k = 11.53 + -11.13. Let f = 0.1 - 0. What is the second biggest value in 5, k, f, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.799 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/520 and -127\/26123640.\nAnswer: 339607320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(5808) + sqrt(5808) + (sqrt(21)\/(sqrt(35)\/sqrt(5)) + 3)**2 + 0.\nAnswer: 8 + 94*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -441*w - 7432 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 3*l**4\/4 - 11*l**3\/3 + 5*l**2 - 5*l - 4. Let z(d) = -3*d + 56. Let u be z(16). Is a(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -19. Let m(g) = g**2 - 3*g - 2. Let r(x) be the third derivative of x**5\/15 - 3*x**4\/8 - x**3 + 4*x**2. Let n(v) = z*m(v) + 2*r(v). Factor n(w).\nAnswer: (w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31300 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/117 + -601\/468. Is -1 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 3. Suppose -5 + s = 3*p, 4*d - p - 7 = 0. Solve d*r + 8 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -3.6, 4, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12320 and 45465.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4 + 4*z**3\/3 - 3. What is w in s(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 5888.\nAnswer: 49\/5888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 n when four letters picked without replacement from nntntntntnntt.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83700 (base 15) to base 3.\nAnswer: 210011121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d - 63 = -3*m, 2*m + d = 43. Calculate the remainder when 39 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 5:08 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/589, 2\/3, -2736, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*h**2\/2 - 597798*h = 0. Calculate h.\nAnswer: -398532\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 27*s + 327. What is g(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + 1*sqrt(99))**2 - (-1 + -3*1*sqrt(99)).\nAnswer: -619 + 159*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 4:39 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**2*x*y**2 - 38000*j**2 - 12*x*y**2 + 35*x - 3*y**2 - 4 wrt j.\nAnswer: -8*j*x*y**2 - 76000*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 8. Calculate the lowest common multiple of 11 and g*-1*(-3 + -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.4 + -25.4. Let w(c) be the first derivative of c**2\/2 + c - 1. Let k be w(-1). What is the nearest to k in -1, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 18*w**2 - 25*w + 83. Suppose 22 = -s - 3*i - 0*i, 84 = -5*s - 2*i. Let d be z(s). Which is smaller: d or -151\/5?\nAnswer: -151\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 329 - 291 = 4*i, -3*i + 6 = 0. What is the second biggest value in 0.18, -2\/5, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from xeeexes?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46374, 44465, 42556?\n\"Answer: -1909*d + 48283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1410.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 29. Suppose -8*v = -20 - p. Solve o - 2*o = 3, -v*x + o = -9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvssvsddvdvswsw. Give prob of sequence wsdw.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8720 by -1.\nAnswer: 8720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(19) - sqrt(19))*6 + (6*-4*sqrt(684))**2.\nAnswer: 393954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/30 + 2*h**2. Let y(o) = 4 - 1243*o - 4 + 1255*o. Determine y(q(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -711 + 349949*b**3 + 353102*b**3 - 706233*b**3 wrt b?\nAnswer: -9546*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.1. Let n = 0.5 + o. Let v = -0.06 + -2.94. What is the closest to -0.1 in -2\/9, v, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + (552 - (-7 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18821 + -18822. What is the nearest to -25\/51 in f, 2, -2, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - p. Let z(n) = -n**2 - 2. Let g(i) = -2*f(i) + z(i). Let m be g(4). Let c = m - 12. Solve -3*r = c + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -252433?\nAnswer: 252432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2452 - 244?\nAnswer: 2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -56*u - 114. What is c(6)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*q - 17 - 36 = 0, 4*w + 4*q = 44. Let l be w\/((-10)\/3 - -3). What are the prime factors of l\/(-4) - 3\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/18? (a) -5 (b) 2\/23 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3765 divided by -7421?\nAnswer: -3765\/7421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d*d\/(d**(1\/3)\/d))))**6\/(d*d*d\/(d*d**6*d*d)*d*d*d*d**(1\/12))*(d**(-5)*(d**(-1\/3)*d)\/d)**(-4) assuming d is positive.\nAnswer: d**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343 a factor of 214361070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4340 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1907*y - 55. Is h(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251191?\nAnswer: 251191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 178*z - 1378. Let j(r) = 22*r + 2. Let o(w) = a(w) - 8*j(w). Let k(u) = 2*u. Give o(k(l)).\nAnswer: 4*l - 1394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 680489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -347?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139642738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -268b4a - 3?\nAnswer: -268b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1)**2 + sqrt(252))*-3 - sqrt(252).\nAnswer: -759 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - w - 48398 = -1920, -5*w = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1970, -2049, -2200, -2429, -2742, -3145, -3644?\nAnswer: -4245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.9 - -20. Which is the closest to 0.2? (a) o (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.00461 + 0.40461. Let h = 1.9 + -2. Let k = 6 + -4. Which is the biggest value? (a) k (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a + 203 = 107*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/33 (b) 4 (c) 0.5 (d) -0.4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 3*j**5\/25 + 3*j**4\/10 - j**3\/5 - 3*j**2\/5 + 3. Factor n(m).\nAnswer: 3*m*(m - 1)*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = -4*f + 14*f. Suppose -f = -6*i - 2*i. Let g = 1 + 11. Solve -i*u - g = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 336071.2m?\nAnswer: 336.0712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2065.6395 + 2055.1. Let v = x + -0.0605. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -275*v**2 + 8*v - 645. Let n(h) = -6*h**2 + 2*h + 1. Let i(b) = -c(b) + 4*n(b). What is the derivative of i(s) wrt s?\nAnswer: 502*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 34 = 3*y + 5*h, 0 = -2*y + 4*h + 36. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.2 - -1.6. Let y = -10.8000061 + f. What is y rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2142046, -4284089, -6426132?\nAnswer: -8568175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + 20 - (629 - 613)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/132)\/((-3)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 - 36*p + 7\/2*p**2.\nAnswer: (p - 10)*(7*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21439200 rounded to the nearest 100000?\nAnswer: -21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15880949705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b2b664 (base 12) to base 15\nAnswer: 3a4317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/273*-14*-24?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 13 = -k - 4*q, -8 = -4*k - q. Solve 8 = -0*o + o + k*d, 4*o - 2 = -2*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 3 - ((-6 - -2) + -38 + 46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77054 or -77184?\nAnswer: -77184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53166824 or -53166832?\nAnswer: -53166824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130999 is divided by 115?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 + 17*s + 90. Let g(z) = z**2 + 35*z - 162. Let f be g(-39). Is 6 a factor of q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.59 (b) 0.5 (c) -5\/1709\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c**3 + 2*c**2 - 2*c - 1. Determine a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*p**2 - 619*p + 619*p to r + f*p**2 + c*p and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 28 = -112. Let l be 2\/(-8) + f\/(-48). Let d(m) = -3*m + 3. Let c be d(1). Is l > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 15*o + 2. Let b be y(-15). Let w be b\/1 + -1 + 0. Let f be (-4)\/(-2*w\/(-2)). Which is smaller: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -78. Let z be 58\/12 - (-16)\/o. Suppose z*u - 74 = 81. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**4\/24 + o**3\/3 + 922*o**2. Let l = 11 + -6. Suppose 0 = -l*u - 2*r, -2*u + 3*r = -3*u. Give k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -42. Solve p + 1 + j = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8359, -33393, -75099, -133477, -208527, -300249?\nAnswer: -408643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**3 + 4*b**3 - b**3)*(2 + 2*b - 2) - 4*b**4 + b**4 + 0*b**4 as h + o*b**4 + a*b**2 + l*b**3 + d*b and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(0 - -2))\/2. Let z be 3 + -2 + 9\/(-7). Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -17. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40771 is divided by 453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1629 + -1628.9999113. Round j to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7077593?\nAnswer: 17, 263, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/4 + 3*u**3 + 9*u**2\/2 + 5*u - 3. Let v be h(-7). Suppose -3*s + s = -v. Solve 5*a - s = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 2*d**3 - 2*d**3 + (0*d - 2*d**2 + 0*d)*(d - d - 2*d) + d - 2*d**3 - d - 6944*d**2 + 6944*d**2 - 47*d**3.\nAnswer: -47*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2 = -2*x, -13 + 3 = 5*f - 5*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3, -4, -2378 in increasing order.\nAnswer: -2378, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13288 and 75592?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, p: 9, b: 3}. Give prob of picking 3 y and 1 b.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22701\/(-345)*470\/(-1645)?\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -250*a - 49*a + 1 + 0 - 12. Is u(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 18*d + 92. Let r be t(-6). Let j(s) = -9*s - 141. Let a be j(r). Suppose -o = 4*o + 25. Sort a, 0, o in increasing order.\nAnswer: o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3586, -5, 0 in decreasing order.\nAnswer: 3586, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrrkbkrbebrqbr. What is prob of picking 4 r?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -69. Let c be (-5)\/((-20)\/(-8)) + 17. What is the greatest common divisor of c and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2)\/(1*-1). Let n be 0\/(-17 + 2250\/126 + (-20)\/7). Solve m = 2*l - n*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 55, 29, -19, -95?\n\"Answer: -g**3 - 2*g**2 + 3*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 329 - 329. Suppose -7 + 15 = h - g, b = h + 2*g + 4. Factor -1\/6*q**2 - 1\/2*q**3 + 1\/6*q**h + 1\/6*q**5 + 0 + 1\/3*q.\nAnswer: q*(q - 1)**2*(q + 1)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*p + 18*p - 38*p + 2*p**3 + (-2*p - 2*p + 6*p)*(0*p**2 + 4*p**2 - 6*p**2).\nAnswer: -2*p**3 + 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/9, 1\/11, -2\/15, 4 in descending order.\nAnswer: 4, 1\/11, -2\/15, -22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5954 + 7002. Solve 0 = p*n - 1042*n - 36 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d3 + 4eab?\nAnswer: 48c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422 + -204033021?\nAnswer: -204032044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**5 + 2372*v**4 + 2368*v**3 + 33*v**2 - 5*v - 1131?\nAnswer: -120*v**2 + 56928*v + 14208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6785455*h**2 + 13570913*h**2 - 6785468*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c + 6 = -41*c + 3*m, -5*c + 5 = 4*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*j - 573*j + 222*j - 3369*j.\nAnswer: -3588*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n = -72*n. Solve n*l + 3*l - 12 = 0, 4*u = 3*l + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)\/n)\/(n\/(n*n**(7\/4)*n)*n)*(n**(1\/7))**(-7\/6))**(-1\/4) assuming n is positive.\nAnswer: n**(-11\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 106\/105 - (0 + 4). Let u(z) be the second derivative of d*z**6 + 0*z**4 + 0*z**2 - z + 1\/70*z**5 + 0 + 0*z**3. Factor u(o).\nAnswer: 2*o**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 56*b + 696. Let u(a) = 2*a + 8 - a + 3. Give u(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/13)\/f))\/f**(-3\/8)*(f*f**2*f)**(-1\/13) assuming f is positive.\nAnswer: f**(231\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10512, -21042, -31594, -42168, -52764, -63382?\n\"Answer: -11*m**2 - 10497*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q - 6. Let m(s) = -2*s + 1. Let y(x) = -5*x + 3. Let f(r) = 8*m(r) - 3*y(r). Determine -6*f(c) + v(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/189576 and -23\/231704.\nAnswer: 2085336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 62526*n**3 - 322902831*n**2 - 30105143532*n - 695474748972.\nAnswer: -3*(n - 10467)**2*(n + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6864 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 259*n - 12098. What is l(47)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c**3 - 4*c**2 - 3*c + 7. Let p(o) = -5*o**3 + o**2 + o - 2. Let b be (-186)\/(-15) + -1 - 2\/5. Let t(a) = b*p(a) + 4*d(a). Calculate t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 9*o**3 + 17*o**3 - 7*o**3)*(-2*o + 0 + 0).\nAnswer: -2*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -9*c + 4*c. Suppose -6*k - 732 = -c*k. Let y = -86 - k. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 5*m + 3*l + 2*l, -5*m + l - 159 = 0. Let h = 45 + m. What is the remainder when 40 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-4)\/(-36) - 58\/(-6). Let b be (-52)\/(-9) + 2\/9. Calculate the greatest common divisor of n and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - sqrt(77)*-1 - sqrt(77))*5 - (sqrt(77)*1 + sqrt(77))*1)*6)\/((1*sqrt(70))\/sqrt(10) + sqrt(14)\/(sqrt(2) - sqrt(18))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94451401?\nAnswer: 11, 8586491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/1337619 and -37\/1691.\nAnswer: 119048091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d**2 + 6*d**2 - 45679 + 45679.\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.187 - 0.403. Let s = 2.09 + k. Let n = -12\/17 + 19\/51. What is the third biggest value in s, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 3, r: 2, i: 3, u: 3}. What is prob of picking 2 u, 1 l, and 1 y?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43242 (base 6) to base 8\nAnswer: 13452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**2 + 0*k**2 - 3*k**2 - 15*k**2 - 20*k**2 - k**2 + (-4*k - 2*k + 5*k)*(2*k + 2*k - 3*k).\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -486958 divided by 243479?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6)\/(-30)*(-135)\/12?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601419 is divided by 300703.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.1 - -15.1. Let v = b - 3. What is the closest to 2 in -0.18, 2\/9, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 4*v - 1. Let c = 5 + -1. Suppose c*s + 0 - 12 = 0. List the prime factors of u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u - 2*h - 1, -3*u + 4*h = -2. Suppose n = -0*n - 5, 3*c = u*n + 73. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -375*t + 376*t - 11*t**3 + 6*t**3 - 2*t**2 as f*t**2 + k + c*t**3 + y*t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1*w)\/w)**43)**(-47) assuming w is positive.\nAnswer: w**(-2021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 3663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*p - 3403 = -3*p. Calculate the remainder when 6682 is divided by p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 5, k: 5}. Give prob of picking 4 q.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**4\/4 - 3*d**3 + 4*d**2 + 14*d + 12. Let z be u(8). Is 15 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20*l**2 - 329*l - 195. Let i(o) = 11*o**2 - 166*o - 97. Let y(j) = 7*i(j) - 4*v(j). What is y(52)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-18))\/((-1)\/12). Let v(f) = -2*f - 1. Calculate v(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.422 rounded to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/7 + (-4 - 0\/(-13)). What is the closest to 2\/5 in n, 2, 0.01?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7653267 plus -59?\nAnswer: -57.2346733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -21*y**2 + 15*y + 5. What is a(-2)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 20 + (-34 - 3) + 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/3 - 13*b**2\/6 + b\/3 + 5\/2 = 0?\nAnswer: -3, -5\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {h: 2, d: 5, x: 2, n: 6, e: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*(k\/(k\/k**5))\/k*k)*k**0*k*(k\/k**4*k)\/(k\/k**(-4)) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(1\/2))**(-13)*b**(-2\/11)\/(b\/(b**(3\/8)\/b)) assuming b is positive.\nAnswer: b**(-3019\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i + 2, -3*q + 4 = -4*i. Suppose -3*m - 2 = 1, 3*u - 3*m - 18 = 0. Suppose 0 = u*o - q*o - 65. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-24.23137\nAnswer: 4.846274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63, 67, 81, 111, 163, 243?\n\"Answer: r**3 - r**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -841850, -841882, -841914, -841946?\n\"Answer: -32*g - 841818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -19. Suppose -8 = 5*g + 4*k, -2 = -p*g - 2*k - 4. Let n be 6\/g - 612\/(-8). What is the greatest common factor of n and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -10753\/4?\nAnswer: -10753\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -58. Find the third derivative of -44*h - 4*h**b - 2*h**3 + 44*h + 13*h**2 wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + 0.7. Let o = -3704 + 4055.1. Let n = 351 - o. Which is the nearest to n? (a) -0.1 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4047390, 4, -2, -1.\nAnswer: -2, -1, 0, 2, 4, 4047390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 322792 a multiple of 514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005515367518 to 7 decimal places.\nAnswer: 0.0005515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64135, -64251, -64367?\n\"Answer: -116*s - 64019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60325 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41684 divided by 779?\nAnswer: 41684\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -63*u + 352. Determine h(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 1, h: 1, b: 1, s: 2}. Give prob of picking 1 h and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 1353.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 195926 divided by 47\nAnswer: 195926\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 1927 + 653 = 0. What are the prime factors of w?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-35)\/(-7) + -5)*(-3 - -2). Which is smaller: 3\/1916 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - 3 - 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 - 27*a - 26. Let u be s(9). Let v(d) = d**3 + 15*d**2 - 21*d. Let x be v(u). Round x to the nearest one hundred.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 8*x**2 - 16*x + 10. Let s be q(-7). Let t = s - 223. Let a = t - -217. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/r**(-1\/15))))\/r**(-1\/16) assuming r is positive.\nAnswer: r**(271\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 1\/4, 2\/9, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/(x*x**(-2\/3)*x)*((x*x**(-7))\/x)\/x**5)**(-6\/5) assuming x is positive.\nAnswer: x**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078645987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 5*u + 6. Let k(l) = -l + 0 + 5135*l**u + 1 + 1165*l**2 + 0. Let s be k(1). Round s to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 6*s**2 + 62*s - 340. Calculate p(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 214222.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28*0.49\nAnswer: -13.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6162468 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 e when four letters picked without replacement from gzzezzzgzezegvgzgeeq.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5530 to the nearest 100.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2325.147 and 8360.\nAnswer: 10685.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - -0.3. Let f = z + 1.1. Let j = -0.55 + -9.45. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - g - 2*b + 25, 4*b = 3*g - 41. Let p = 14 + g. Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1356 + 44*w**2 - 46*w**2 + 1356.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = 2*y - 4*k - 129 - 68, 22*y - 19*y - k = 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 14, 3, -43.\nAnswer: -43, 0, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*j = 381*j + 3700 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 1. Let n = -5.6 - -6. Let s be 2\/(24\/108 - (-28)\/(-45)). Which is the nearest to 1? (a) n (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 2*y**5\/5 + 19*y**4\/12 - 18*y. Find the third derivative of v(x) wrt x.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 15) to base 16\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(30\/32)*2406\/3208.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 10:31 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -20. What is the smallest value in 7\/2, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -402 + 431. Let s(g) = -g**3 + 32*g**2 - 63*g - 69. What is the remainder when s(f) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.5, -12, -2\/595, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((((sqrt(77)*4)\/sqrt(11) - sqrt(7))*2)**2 - (-5 + sqrt(2268))) + -4).\nAnswer: -36*sqrt(7) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2, -439, 86 in descending order.\nAnswer: 86, -1, -2, -5, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -327\/5 + 2439\/35. Is x bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 6*s + 9*s)*(-s - 2*s + 0*s) - 5*s**2 + 6*s**2 + 3 - s + 2*s + (-1 + s**2 + 1)*(-2 + 1 - 1).\nAnswer: -22*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 10. Suppose 4 = -4*a - d, f + 9 = -3*a - 3*d. Suppose a = -k + 4*l + 18, -8 = -k + 5*k + 4*l. Solve k*p - 3 = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/4 + 403*b**3\/4 + 1215*b**2\/4 + 1217*b\/4 + 203\/2.\nAnswer: -(b - 406)*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -836484 at least -836485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, -67, -110, -167, -244, -347?\n\"Answer: -d**3 + 2*d**2 - 34*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/3, -356, 4, 2\/2183 in ascending order.\nAnswer: -356, -4\/3, 2\/2183, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3 - 3. Suppose a*s = -s. Let d be (-3 + 3)*1\/1. Solve -b + 5 = 5*y - d*y, s = -4*b + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154072939 a multiple of 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 650*g**2 - 72*g**3 + 0*g + 12 + 648*g**2 + g as z*g**3 + w*g + c + d*g**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626*t - 437 = -1645*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13 (b) 2 (c) 0.5 (d) -401108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2610 is divided by 2096.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2. Let c(r) = -4*r**2 - 2*r. Give c(v(q)).\nAnswer: -64*q**4 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*f + 71 = -2*b + 84*f, -2*b = -9*f - 139. Determine t, given that 12\/7*t**2 - b*t + 2\/7 = 0.\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 3851570.8.\nAnswer: 3851570.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1372, -2005, -3054, -4513, -6376, -8637, -11290?\nAnswer: -14329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100897476?\nAnswer: 2, 3, 1901, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3073484 and 3073484 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -103 (b) -5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5 + 19*j**4 + 66*j**3 + 94*j**2 + 61*j + 15 = 0. What is j?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/8 - -1)*2. Let u = h - 4. Suppose -u = x - j - 18, 4*j + 66 = 5*x. What is the smallest common multiple of 20 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = s - 1542437 + 1542435, 3*k - 4*s + 13 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 - 3*z**2 - 4*z + 8 - 8. Is p(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 34529.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(475) - sqrt(19))*-5)**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 909398236 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320764492 divided by -4?\nAnswer: -80191123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 4*o = 10*p + 12, -4*o = 5*p + 60. What is the third biggest value in p, -6\/11, -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 317045272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52705, -52746, -52787, -52828, -52869, -52910?\nAnswer: -52951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.1 - -6. Suppose -3*s + 24 = 4*x, -3*x - 4 + 1 = -3*s. Let o = 0 + 1. Which is the nearest to o? (a) n (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146615022 to the power of 1\/2, to the nearest integer?\nAnswer: 12108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/300756 and -62\/22929?\nAnswer: 2298678108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-111)\/9*(-6 - -3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 19. Let v = -5 - q. Let i = -20668 + 20667. Which is the closest to i? (a) v (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4168473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = r - 2*z, -2*r - 10 = -5*z - 50. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6471.96 millennia?\nAnswer: 77663520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(-2 + (-4*4*(sqrt(153) + -3*((sqrt(153) - (sqrt(153) + 0)) + sqrt(153) + sqrt(153) - sqrt(153)) + 4))**2).\nAnswer: -221184*sqrt(17) + 2893788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43732?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slslelllsvvvllslbl. Give prob of sequence lb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6053.10239 - 6053. Let y = m - 0.103. What is y rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (2782600\/(-467840) + (-1)\/16). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -102, -221, -386, -597, -854, -1157?\n\"Answer: -23*t**2 - 4*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -1862d4?\nAnswer: 1862d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 66*s - 59*s. Suppose 657 + 1891 = s*p. What are the prime factors of p?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + 4)\/(-10)*-1*-8. What is the highest common factor of 36 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211 and 1688?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 14*m**2 + 2*m + 22. Calculate the remainder when q(-12) is divided by 32\/1 + 15 + -23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33490 divided by -3349\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1460 = m - 601, 2*d - 4 = 0. What are the prime factors of m?\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 7*b - 11 = -3*m, -3*m + 10 = -4*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81111967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - z - 9*z + 231 + 4*z + 3*z.\nAnswer: -z + 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 18*k**2 - 19*k + 17. Let w be o(8). Let x(p) be the first derivative of p**4\/4 + 8*p**3\/3 + 5*p**2\/2 + 2*p - 1. Does 8 divide x(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-4))\/(12 - 423\/36). Suppose -q*y + 1415 = 5*r - 8*y, -2*y + 10 = 0. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-12)\/(-20) - (-183)\/(-255)). Let j = 34 - k. Suppose 2*i - 1 - 47 = j. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 39 + 18 + 16.\nAnswer: -8*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-2*f + 3 - 3) - 6*f - 3*f - 2*f + (0 + 0 + 3*f)*(5 + 0 - 3) - 2 + 3 - 3 + f.\nAnswer: -6*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -140. Let b = -91 - k. Suppose -5*m + h = -331, -b*h - 24 = -m + 45. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -22*x. Let r(b) = 13*b**2. Give n(r(i)).\nAnswer: -286*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 57 = -3*k + 3*f, 3*k + 3*f = 81. Let h = k - 12. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.29 - -40. Let n = 3.71 - f. Are n and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = 4*h, -2*h + 3*h - 15 = -5*g. What is the remainder when 29\/g - (-1)\/(-4) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 38 - 98 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 5*d - 29, 0*d - 5*d = 5*h - 6 + 18 + 13 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/5, 2, -1, 5\/2808?\nAnswer: 5\/2808","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134 - 15?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 850 divided by -3\nAnswer: -850\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8 - 4 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (245 - 18\/3*1) + 2?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2353?\nAnswer: -4\/2353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.9. Is t not equal to -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Let r = 2.99994 - w. What is r rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + c = -75 + 77, -c - 12 = -3*g. Solve 5*r = 0, -g*b - 4*r - 6 + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266617 by 532.\nAnswer: -266617\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from nnkknnnnnnknnnnnnnnn?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.32, -1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452\/10 + (-2)\/10?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 20*j**4 + 4*j**3 - 28*j**2 - 4*j + 24. Let u(a) = -13*a**4 - 3*a**3 + 19*a**2 + 3*a - 16. Let v(c) = -8*u(c) - 5*w(c). Factor v(n).\nAnswer: 4*(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4408552909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 52128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0. Let z(s) = s**3 + 5*s**2 + 2*s - 1. Let v be z(-4). Let j be (8\/20)\/(v\/(-5)). Which is the nearest to u? (a) 1\/6 (b) j (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43350, -109738, -220384, -375288, -574450, -817870?\n\"Answer: -22129*t**2 - t - 21220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2211\/4 (c) -5140\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 5554*k + 151416.\nAnswer: -2*(k - 27)*(k + 2804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50749384 divided by -13016?\nAnswer: -3899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/((-20)\/(-700)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 15*f + 3. Determine y(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-200)\/(-9) + (-6)\/27. Let a = c - 16. Calculate the lowest common multiple of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 + 11*q + 14. What is c(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10579 - 3353 - 3360 - 3866 - 12*l - 17*l.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -969 - -1495. What are the prime factors of c?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220\/333 + 1495\/444. Find the common denominator of p and 49\/954.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 2.009.\nAnswer: -2.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*v = 205*v + 560 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -331*s - 1662. Calculate u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -50*v**4\/3 + 2066*v**3 + 298*v**2\/3 - 2066*v - 248\/3 = 0?\nAnswer: -1, -1\/25, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 156787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(192))**2 - (1 + sqrt(192) + 1)**2)*4.\nAnswer: -128*sqrt(3) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 17.255.\nAnswer: -69.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -2*n**7\/15 + 2*n**6\/5 - n**5\/5 - n**4\/3 - 10*n**2. Factor s(k).\nAnswer: -4*k*(k - 1)**2*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 - (4 - (0 + 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2 + 40496*c - 445577 = 0.\nAnswer: -40507, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, -219, 5, -16, -0.3 in decreasing order.\nAnswer: 5, 3, -0.2, -0.3, -16, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277*n**3*o**2*y - n**3*o*y - 2*n**3*o + n**2*o**2 - n**2*o*y - 21*o**2 + 233*o*y wrt n?\nAnswer: 1662*o**2*y - 6*o*y - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2 + 1\/(-3)*483\/(-230)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7968124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*j - 242*j + 12 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10601, 10615, 10637, 10667, 10705?\n\"Answer: 4*t**2 + 2*t + 10595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcc when three letters picked without replacement from wcwwwccwwcccwcwcwwc.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -103, -101?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 23*c**2 - c + 52. Let g be q(20). What is the greatest common factor of 56 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(1\/68)\/(q**(-10)\/(q*q\/q**(-1\/8))) assuming q is positive.\nAnswer: q**(1653\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - 550 = -3*c, 4*c + 4*k = 712. Calculate the highest common divisor of c and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*j - 582, 44*j - 47*j + 435 = g. Let d = -144 + j. Solve -n = -2*c - d*c + 12, 16 = 4*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -79\/2*l**2 - l + 27. Let d(t) = 2*t. Calculate h(d(g)).\nAnswer: -158*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/25*(-3)\/(-6)*(-50)\/(-20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-100)\/(-24)*(-3)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1371 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 380544.4 to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c - 1. Let b(p) = 5*p**2 + 8*p - 40. Let n(l) = 4*l**2 + 6*l - 30. Let h(y) = -3*b(y) + 4*n(y). Give f(h(o)).\nAnswer: -12*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9568 at least -9568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13\/(s*s**(4\/11))*s**(2\/7)*s**25 assuming s is positive.\nAnswer: s**(2843\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -207 - -331. Let z = 129 - j. Solve -4*q - q = z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -302\/191 + -253395\/764. Let z = r - -348. Find the common denominator of z and -41\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 81685 and 3.211.\nAnswer: 81688.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyvvvvvyyb. Give prob of sequence vb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 416795659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/3 - 13*j**2\/2 + 7*j. Let g be v(11). Let z(r) = -r**3 + 10*r**2 - 5*r - 13. Let b be z(g). Is b bigger than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 3*b - 12, -4*q + 12 = 2*b. Suppose v - 472 = q*j - 5*j, -j + 160 = 3*v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.7. Let v = 70.2 + -76. Let w = v - -7.8. Which is the nearest to -1? (a) h (b) 6\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322644 and 4646.\nAnswer: 32587044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1092.5 from 503.18.\nAnswer: 1595.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -5\/8, 3\/86, -5, -10, 5\/6, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 314 + -264 + -12 + -15\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v**2 + v + 1. Let h be s(0). Let o = h + 1. Suppose -o*i - 65590 = 3*l + l, l + 4*i = -16380. Round l to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261782004 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (23*(-6)\/(-2898))\/((-1)\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4992 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58 (b) -2\/5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 - 3316*g\/3.\nAnswer: -4*g*(g + 829)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*v**2 - 237*v**2 + 104*v**2)*(35*v + 23*v**2 - 35*v).\nAnswer: -1955*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.56 + -0.36. Let r = z - 10.2. What is the closest to 0 in 2, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540 divided by -885?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a)\/a**(3\/4)*(a\/a**(-8))\/a**(-2\/5) assuming a is positive.\nAnswer: a**(293\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pff. What is prob of sequence pp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6426 and 69258.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546001343.\nAnswer: 3929, 138967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**5\/2 + 105*f**4 + 2345*f**3\/2 + 870*f**2 - 12200*f - 12000 = 0.\nAnswer: -20, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 - 7 + 7.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 1 - (77 - 67 - (1 - 0)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108791 - -880499.\nAnswer: 771708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 7*o + 20*o. Solve 0 = o*j + 13*j - 80 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqe when three letters picked without replacement from eeeeeeexqeeeeeeeq.\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 35*m**2 + 66*m - 29. Is n(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 84 (c) 15493\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/124 - -25\/62. Let h = -25\/7 - -23\/7. What is the third smallest value in -3, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -98*j - 12. Let s(h) = h. What is n(s(i))?\nAnswer: -98*i - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/171)\/((-2)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2, 4, -1\/2, -54.3 in increasing order.\nAnswer: -54.3, -2, -1\/2, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 212279. Let k be f(0). Let x(l) = -l + 7. Let u be x(5). Suppose 287724 = -2*i + r - k, -u*r = -6. Round i to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 542? (a) -1\/3 (b) 0.2 (c) 35 (d) -0.2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26895575121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1825000 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 15 = -125. Let n = d + -19. Suppose -5*q + 0*q + 30 = 0. Solve 0 = q*m - n*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2105474909 - -2105297853.0013. Let z = u - -177047. Let v = z - -9. What is v rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179934*g = -179756*g - 4450 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 226165 - 215.752.\nAnswer: 225949.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21966 divided by 4536.\nAnswer: 523\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105788*i + 105788*i + 6*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*g - 370, -5*v - 164 - 54 = -3*g. Suppose g = -2*d + 264. Calculate the highest common divisor of d and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3591 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: Expand (j + 0*j - 2*j)*(-9*j + 14*j + 12*j).\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14480761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyy when three letters picked without replacement from {y: 3, g: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and 0.1.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 10015?\nAnswer: -10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 424*m - 22038. Calculate f(51).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034118668 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k**2 - 61*k**2 + 154*k**2 + 12*k**3 - 54*k**2.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712.331 millilitres to litres.\nAnswer: 0.712331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -259.6 + 0.6. Let s = y + 259.01552. What is s rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1692)\/235)\/((-6)\/1).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 26 = -21. Let m be (r\/2)\/(((-28)\/24)\/(-7)). Let o(c) = -7*c**3 + c**2 + 2*c - 2. Does 19 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 74. Let a(w) = -5*w**3 - 4*w**2 - 3*w + 9. Let n be a(k). Calculate the common denominator of -21\/2 and 1*(-2)\/4*n\/(-117).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -21. Let w = n + 5. Suppose 0*c - 3*c - 2*o + 179 = 0, -c + 73 = w*o. What is the remainder when c is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694381.\nAnswer: 13, 130337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -19*m**3 + 2*m - 1. Let q be b(1). Let w be 3\/q - 38\/(-12). Determine j, given that 0*j**2 + w*j**2 + 0*j**2 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a factor of 1701078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 882823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163615 = 5*o - 5*a, 3*o - 98170 = -5*a + 7*a. What are the prime factors of o?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, f: 4, h: 1, s: 2}. What is prob of sequence fhs?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from vkkkubkvnkavnvk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h. Suppose -22 = -3*c - 16. Let u(s) = -c + 6 + 2*s - 4. Determine u(d(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -75, 5, -9 in descending order.\nAnswer: 5, -3, -9, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886425860.\nAnswer: 2, 5, 73, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 8*y + 2 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-36)\/30)*(-18)\/(-15). Does 22 divide ((-1)\/(-3))\/(a\/909)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or 230043\/1915?\nAnswer: 230043\/1915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 462*11*2\/77. Calculate the greatest common divisor of 165 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m - 20. Let i be d(17). Let z = 228 - i. What is z rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 - 57*b + 52 + 62.\nAnswer: -57*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4543 + -4535. Solve z + 4 = 3*y, 3*y + u = 5*y - 2*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.139 times -5?\nAnswer: -5.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 54 = -5*d, 12*d - 12468*c + 12471*c = 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 12*k - 10. Let z(f) = 5*f + 27. Let x be z(-7). Let o be i(x). Calculate the highest common divisor of 242 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 14 - g**3 - 5*g**2 + 18*g**2 - 2*g - 3*g. Let z be y(16). Is z\/(-4)*(4 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000359 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 201*(-1 + (-5)\/(-15))*-13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 51*c + 125. Let z(t) = -2*t**3 + 50*t - 125. Suppose 81 = 19*k + 5. Let x(j) = k*l(j) + 5*z(j). Differentiate x(v) with respect to v.\nAnswer: -6*v**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 - 3 - (-2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -19. Suppose 2*q - r = 8. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267770 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 - 2*x. Let m be i(2). What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 883.8 * -47498\nAnswer: -41978732.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - -0.01. Let o = 0.8 - 0. Let s = -5.8 + o. Put x, 0.2, s in descending order.\nAnswer: 0.2, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 240 + 171. Let w be (2 + (4 - 2))*161. Suppose -w = -5*m + a. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 24*q**4 + 0*q**2 + 0*q + 6 - 4*q**3 + 22*q**4 - 56*q**4 + 3*q to the form n*q**3 + x*q**4 + m*q**2 + r + j*q and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 6 = 10*l. Let n be 7 - (l + -4 + 5). Let u(r) = -r**3 - r**2 + 8*r**n - r**2 - 2*r + 1 - 2. What is u(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 - m - 2 + 3*m)*(3 - 5 - 1) + (1 + 2 - 5)*(2*m - m - 2*m) in the form b + t*m and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2142953.292 to the nearest 1000.\nAnswer: -2143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628034673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 3*j**2 + 5*j + 5. Let f be r(-3). Let v = f - -12. Suppose 3*g = -v*a + 6, -g - a + 3 = 1. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 422610184 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/11 - 160*z**3\/11 - 162*z**2\/11 = 0.\nAnswer: -1, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 6576*h + 2194894.\nAnswer: 2*(h - 2911)*(h - 377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -65, -1438 in decreasing order.\nAnswer: 3, -65, -1438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 5, o: 8}. What is prob of sequence vov?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8858 by -2.\nAnswer: -4429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 3\/5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 580718\/85 + -6832. What is the nearest to 0.1 in m, 1, 14, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 33*l + 517. What is s(-18)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i - 12. Let m be l(5). Suppose m*k - 86 = -22. Let h = 240 + -88. Calculate the greatest common divisor of h and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-989)\/36593 - 1478\/74?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 459 + -463.45. Let z = -4.75 - h. What is the second biggest value in -29, -3\/7, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 163589900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 11. What is m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14145849*0.032\nAnswer: 452667.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(54) - sqrt(486))\/sqrt(675).\nAnswer: -2*sqrt(2)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -976 - -959 - (-31 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -506704775*y**3 + 18*y**2 - 7928927 wrt y.\nAnswer: -3040228650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31124108293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m. Let p be (136\/(-204))\/(86\/18 - 5). Let i(o) = -2*o - 40. Calculate p*h(q) - i(q).\nAnswer: -q + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.243799 days in milliseconds?\nAnswer: 107464233.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47682 and 138.\nAnswer: 1096686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*x**4 - 33257*n**2*x**2 + 6*n**2 - 2378*n + 3*x wrt x.\nAnswer: -12*n**2*x**2 - 66514*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 2*a + 5. Let u be k(-4). Let i = -86 + 90. Let r be ((5 + -2)\/(-15))\/(i\/30). Put r, u, -0.4 in descending order.\nAnswer: -0.4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, h: 7, c: 1, f: 1}. Give prob of picking 2 h and 1 f.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156891 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67\/8 + -567\/40. Find the common denominator of x and -15\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxggxq. Give prob of picking 1 x and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1\/2 (b) 0 (c) 0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Is x greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*v - 854*v - 16446 + 276024 = 751*v for v.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*n**4 + 1 + 3*n**4 + 2 wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -20. Suppose 6*x + 18 = 4*n + 3*x, 0 = -3*x - 6. Let k be (15\/(-9))\/(n\/(-45)). Calculate the greatest common divisor of c and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*k - 4, 0*k + 3*k = -4*s + 8. Suppose -5*z - 407 = -3*y, s*z - 400 = 2*y - 5*y. What is the remainder when y is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 636\/78 - (-4)\/(-26). Let u = 16 - s. Let y(j) = -j**3 + 8*j**2 + 19. Is y(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62246.1178 to the nearest one thousand.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, -3\/8, 648.1, 0.2, 0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-16) + 53\/(-4). Suppose -10 = 2*i - 3*i. Let d = l + i. Put d, -2, 1 in ascending order.\nAnswer: d, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 28) + (-165 - -26 - -216).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 29*k**2 + 30*k + 61. Let p be s(-28). Let n(c) = 19*c - 22. Let u be n(13). Suppose p*j - u = 310. What are the prime factors of j?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 + 3. Let m = 0.33 + -0.09. Let w = m - 0.04. What is the second smallest value in h, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-497)\/(-9) - 6\/27. What is the greatest common factor of g and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g**2 - 144*g**2 + 29*g**2 + 20*g**2 + 26*g**2 + 27*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86552567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 26*z**2 + 8*z + 8. Does 26 divide r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118432973 to the power of 1\/2, to the nearest integer?\nAnswer: 10883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*r - 99 = -223*r. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 3*a**5\/20 + 46*a**2. Let b(m) = 5*m + 5. Let f(i) = -3*i - 2. Let c(g) = -2*b(g) - 5*f(g). Give c(p(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/9*(-95)\/(6365\/(-268))\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6 + 1 + p**2 + 2*p**2 + 5*p - p**3. Suppose 2*q + 8 = 0, -4*y + 2*y - 8 = 4*q. Let h be s(y). Are h and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-3*y + 4*y + 0*y)*(y**3 + 3*y**3 - y**3).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4565, -4804, -5449, -6704, -8773, -11860, -16169, -21904?\n\"Answer: -34*k**3 + k**2 - 4*k - 4528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 - 810*x + 43811. Determine z(75).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let v(z) = z**2 - 20*z. Give v(p(x)).\nAnswer: 4*x**2 + 40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 85. Let n = -5 - 9. Let v = n + 176\/13. Is v <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcppkpcckcckkc. Give prob of picking 2 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.71 + 265.29. Let h = -51 + k. Let w = h - 187.1. What is w rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwndchhw. Give prob of picking 1 h, 1 u, and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -4.01. Let z = 12.7 + -14. Let d = z - -0.3. What is the biggest value in p, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3 = -23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(12)\/sqrt(6) + 3*sqrt(50))**2.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5144 and 14?\nAnswer: 36008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 5\/4, -75, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m - 10. Let x(k) = -11*k - 21. Let z(f) = 9*s(f) - 4*x(f). Let t(c) be the second derivative of c**2\/2 + 15626*c. Calculate -6*t(n) - z(n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 13. What is the remainder when y(6) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7548 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/12 - d**3\/3 + 3*d**2\/2 + 32*d - 2. Let c = -3 + 6. Does 3 divide p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 4, t: 1, c: 5}. Give prob of sequence cc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4459, 8917, 13375, 17833, 22291?\nAnswer: 26749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 4*v + 2. Let m be w(-2). Let t(c) = c**2 + 5*c + 4. Let d be t(-4). Suppose d*n - 26 = -m*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104.936 - -102.1. Round h to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -9c?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1018, -1019, -1022, -1027, -1034, -1043, -1054?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-43 + -2 - 4). Suppose o - 23 = -o + 5*m, -5*o + 2*m + t = 0. Suppose 2*p = 7*p - 20. What is the lowest common multiple of p and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -386\/3. Let n(i) be the second derivative of 0 + 7*i - w*i**3 - 2*i**2 - 1\/3*i**4. What is x in n(x) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z + 185 = -v, -4*v = -4*z + 148. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q + 35. Let l(z) = -z - 9. Calculate -9*l(s) - 2*o(s).\nAnswer: s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 13 = -4*b + 5*x, 0 = 5*b - 3*x - 14. Let j(i) = 3 - i + 3*i**2 - 3. Let z be j(b). Solve 3*n - z = -14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 + 1 = 0. Let z = 19 - 15. What is the smallest common multiple of y and 1 - (-30)\/(-1 + z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9707 - 9707. Which is the biggest value? (a) -1 (b) -0.01 (c) -5 (d) i (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 - 10*c + 26. Does 21 divide f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11630 is divided by 1938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 155 = -0*v + 3*v, 4*v = -5*f + 205. Is 45 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76866*g**3 - 51242 with respect to g.\nAnswer: 230598*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugs when three letters picked without replacement from cllgguscsuslg.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 2*n**6\/5 - n**5\/5 - 3*n**4 + 6*n**3 - 4*n**2 - 6*n. Factor f(b).\nAnswer: 4*(b - 1)**2*(b + 2)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:39 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2412 and -8.702?\nAnswer: 20989.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.1, 0.5, -5, -66?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:57 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 602*v**2 - v - 1. Let b be m(-1). Factor -14*f**2 + 276*f + 16*f**2 + 10124 - b.\nAnswer: 2*(f + 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.04 (b) -0.2 (c) 2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/3 + 1398*z**2 + 732202*z - 2200802\/3 = 0.\nAnswer: -1049, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(p + p - p + (-3*p + 4*p - 3*p)*(3 + 1 + 0))*(-1 + 8 + 9 + (-3 + 5 - 3)*(-3 + 3 - 2)) to m + o*p and give o.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11899734?\nAnswer: 2, 3, 7, 11, 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 142030 (base 5) to base 12\nAnswer: 34aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101.47 + 2.47. Let z = k + 96. What is the nearest to -0.03 in -3\/4, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiiitsiwit. What is prob of picking 2 i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 183674144 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 - 10*q**3 + 258*q**2 - 126*q**2 + 49*q**3 - 132*q**2.\nAnswer: 39*q**3 - 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -7004730.\nAnswer: -7004729.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 235, 357, 479, 601, 723?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 7*l + 9. Let y = 12 + -4. Let z be u(y). Find the first derivative of 0*g - 3*g - z - 2 + 2 wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15316 - -5?\nAnswer: 15323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 11:46 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 225034336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p**4\/6 + 10171430*p**3\/3 - 2069161799183*p**2\/3 + 275887833034*p - 55177539483\/2 = 0.\nAnswer: 1\/5, 406857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 54 - 28)*(-5 + 5 - 3*d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1973 - 99 + 491)*(-3*a - 5 + 5).\nAnswer: -7095*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*p**3 + 9*p**3 - 10*p**3)*(28 - 3 - 1922*p - 4 - 2 - 20) to the form i*p**3 + f*p + k + d*p**4 + m*p**2 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 27. Let z(u) = u + 1. Calculate m(h) + z(h).\nAnswer: -2*h + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31406?\nAnswer: 2, 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 706537 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3508308 and -97\/42?\nAnswer: 24558156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 931398 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55, -28, 53, 218, 497, 920?\n\"Answer: 5*n**3 - 3*n**2 + n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + ((sqrt(220)\/sqrt(4))\/sqrt(5) - (sqrt(539) + 5))**2)*-2.\nAnswer: 120*sqrt(11) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1333*i. Let p(r) = 432*r**2. Give s(p(g)).\nAnswer: -575856*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*s**2*w - 71470*a*s**2 + 50*a*s*w + 17*a*w - 107*a + 2*s**2*w + s**2 - 11*s*w wrt s.\nAnswer: -6*a*w - 142940*a + 4*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6345 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnx when three letters picked without replacement from {c: 4, x: 1, n: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q + 44. Let s be 99\/q - 1\/(-2). Suppose -n + s = 0, -5*j + n + 7 = 2. Solve 3*u + 2*t = 2, -5*t = j + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-6)\/(-10) - 2950\/125). Let j be 1\/((180\/m + 2)\/31). Calculate the highest common divisor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*p + 25 = 0, 0 = 38*a - 34*a + 4*p + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001372 rounded to six decimal places?\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwswsxxxsxwxx. What is prob of picking 1 x and 2 w?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - (-28)\/12. Suppose 4*y - i*y = 8. Solve 2*f = y + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 - -215.8. Which is greater: 85 or r?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 33 + 0*r**3 - 8*r + 9\/4*r**4 + 0*r**2. Differentiate s(x) wrt x.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43.7 and -0.016.\nAnswer: -43.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*m + 5*m - 5*a, 4*m - 2*a - 22 = 0. Solve m*r + 5*h - 37 = 0, -5*h + 18 = -7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4125)\/66*(-24)\/90*(-4)\/56*6.\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 10\/17281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 506354.9 millennia?\nAnswer: 50635490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5792 divided by 4.\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**3\/3 + r. Let q be l(-2). Factor 4*d**q - 6*d**3 - 3*d**2 - 2*d**5 - d + 7*d**2 + d**5.\nAnswer: -d*(d - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 3:09 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*o + 20*o**3 + 165*o**3 + 6 + 8*o**4 + 16*o - 2 wrt o.\nAnswer: 96*o**2 + 1110*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 2}. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) -185625 (c) -2\/5 (d) -0.1 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 22203212?\nAnswer: -22203030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.10704g in milligrams?\nAnswer: 6107.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 + v**5 + 0*v**5 + (1 - 1 - v)*(4*v + 2*v**4 - 4*v) + 2*v**5 - 3*v**5 + 2*v**5 - v**5 - 9*v + 9*v.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 4*n + 2*n + (1 + 2 - 1)*(-n + 2*n - 3*n) - n - 2 + 2 + 3*n + n - 3*n)*(29 + 3 - 5)*(-3*n + 4*n + n).\nAnswer: -324*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 6*n + 1568. What is 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 next term in -15, -28, -41?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o - 33. Let q be i(-6). Suppose -q*d + 4*f - 4 = -d, -4*d + 2 = -3*f. Solve -s = d*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**2 + 14*g + 219 - 25 - 27*g with respect to g.\nAnswer: -12*g - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361*l**2 - 380*l - 100.\nAnswer: -(19*l + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 20. Suppose 4*p + 3*t - 18 = 0, 0 = -0*t + 5*t + j. Suppose 0 = 11*b - 6*b - 20. Solve b*s = -w + p*w, 0 = 3*s + 4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/(-48)*(-7)\/(4865\/(-60))?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 (base 8) in base 16?\nAnswer: ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 29. Sort y, 0, 1, 5.\nAnswer: y, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 9*d**2 + 9*d - 21. What is y(7)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*p - 670 = 0, 3*o - 4*p + 423 = -8*p. Let i = o - -153. Solve 2*h + 6*m - 2*m - i = 0, 12 = 2*h + 3*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-72))\/(1\/(-2))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*p + 36180 - 10076 + 24256 = -8888 for p.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5.5. Which is the nearest to n? (a) 1\/2 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 24*d**2 + 130*d + 7*d**2 - 130*d + 7.\nAnswer: -17*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/18)\/((-110)\/(-88))*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007347 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 26*d + 70. Let g(t) = -144*t. What is j(g(p))?\nAnswer: -3744*p + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 - 7*q - 5. Let j(c) = 4*c**2 - 4*c - 3. Let y(z) = 3*g(z) - 5*j(z). Give y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 - 3 + 30*k - 51*k + 22*k - 3*k**3 + k**2 as m + b*k + r*k**2 + x*k**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4906534100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**2*y**(-18) assuming y is positive.\nAnswer: y**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5286233 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0 + 9?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {v: 1, a: 2, n: 1, w: 1, m: 2, e: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 378 or 379?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n**2 - 208*n + 27. What is the tens digit of t(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905102758 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2.63, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from gtvgggggtktgkttkt?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32996 and 6205.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -19 - 76 - 20 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -5\/333 (c) 0.5 (d) -13 (e) 1 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 16 = -l - 19, -l + 2*u - 9 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 328 - 86 + 2*m**3 - 78 - 78 - 86.\nAnswer: 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r + 2. Let w(y) = -y - 1. Let x(z) = -5*z - 2. Let f(g) = w(g) - x(g). Let p be (-1)\/(-3)*6\/(-14) - (-22)\/7. Determine p*s(j) - 5*f(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -31*b**2 - 4*b - 42. Let o(h) = -126*h**2 - 18*h - 168. Let v be 2 + 8\/4 + -2 + 0. Let i(w) = v*o(w) - 9*r(w). What is the derivative of i(y) wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-936)\/64)\/(-3) + 9 + -14 - (-533)\/104.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(3*k + 6*k - 8*k)*(-k**4 - k**4 + 7*k**4).\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 171427649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-5)\/(-20)*0. Suppose -q = 4*k + z - 2536, 2*k - 5*q = 1295. Suppose 10*s - k = 5*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/25)\/(4\/(-200)). Solve 0 = 6*u - 8*u + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 1138342117.\nAnswer: 1138342115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349461 is divided by 301.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.02 (b) 0.2 (c) 2\/25 (d) 0.1386 (e) -7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 139*a**5\/5 + a**4\/4 - 2*a**3\/3 - 108*a**2 - 3173. Find the third derivative of r(i) wrt i.\nAnswer: 3336*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 16 = 2*n, 19 = n - 0*n + 3*s. Suppose n*a - 6*a = 329. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from xlxllxlxxxlxyxxxx.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3 + 12. Let k = 10 + v. Suppose -5 = -p - 2, j - 12 = -3*p. Solve 0 = 3*z + a + k, -4*a = j*z + 2 + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 19 = -5*p + 7, -p + 1 = 2*n. Suppose 3*y + p*y = 90. Let j be (-8)\/(-28) - y\/7. Sort -2, j, 17.\nAnswer: -2, j, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144635421?\nAnswer: 3, 7, 137, 50273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, n: 8, p: 2, v: 1, f: 5}. What is prob of picking 3 n and 1 v?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n - 6. Let t(u) = 11*u**2 - 8*u - 1. Let f(x) = 36*x**2 - 24*x - 2. Let m(h) = 4*f(h) - 13*t(h). Calculate m(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2012 + 3783 = -96*m + 1963. Suppose 0*g - g = -2. Solve g + 1\/3*f**m - 7\/3*f = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1612 - -1644.06. Let r = -32.42 + 0.42. Let y = p + r. Which is smaller: y or 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 0, -3*y = 2*y + 5*o + 85. What is the remainder when (y + 16)*59\/(-2) is divided by 364\/18 - (-10)\/(-45)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(91)*-4)\/(sqrt(567) - (sqrt(567) + sqrt(567)*-2)).\nAnswer: -1 + 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 + 330800*l**2 + 13588158496*l - 7490175828992 = 0. Calculate l.\nAnswer: -82972, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 13. Let t be 24\/h*30\/(-4). Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-23970)*47*187?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/44 - 637\/(-143). Suppose 5*l - 6 = 2*i, t*i + 3 = l + 4*i. Which is bigger: l or 6\/175?\nAnswer: 6\/175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -458736 or -458688?\nAnswer: -458736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4665809 to the nearest integer?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214.5 + -216. Let r = p - -1.500158. Round r to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x - 19*x + 12*x.\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18 - 4) + (-16)\/(-4). Suppose 5*j - 25 = 0, -j = 2*d - 3*j + y. What is the nearest to 2\/5 in 0, d, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:23 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-1)\/(3\/6). Let q(d) = -d**2 + d + 16. Determine q(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1304, 1306, 1318, 1346, 1396?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n + 114*n = -55*n + 23*n - 11570 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**4 - 55*t**3 - 60*t**2 = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232613\/28854 - 20\/2061. Let o = -701\/97 - -270065\/38994. Calculate the common denominator of v and o.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107\/856 + (-1574949)\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - 10210*(-66)\/(-7920).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -738, 5, -4 in increasing order.\nAnswer: -738, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122467989.\nAnswer: 3, 7, 719, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3600) - (sqrt(3600) + (sqrt(3600) - sqrt(3600)*1)))*6)\/(sqrt(50)\/((sqrt(40) - (-2*sqrt(40) - sqrt(40)))\/sqrt(4))*2) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2 + 5. Let l(q) = -11*q**2 - 11. Let c(r) = -5*b(r) - 2*l(r). Differentiate c(t) wrt t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 11 + 3 + 15 + 3235*l**3.\nAnswer: 3235*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-666)\/(-27) + 1\/3. Suppose -q = -4*m + 23. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3689.\nAnswer: 5\/3689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - -10) + -5 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - i = 3*s - 25, s + 2*i - 8 = 0. Suppose -23 = -5*j - w, 5*w = 8 + 7. What is the remainder when s is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3675854000 rounded to the nearest one million?\nAnswer: 3676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 10:45 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from oiiiiiiiiooooiioiii.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -936*s + 161. What is the hundreds digit of c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = 24404 - 98604. Let o be (-1)\/(-4) - i\/80. Let n = o + 135. What are the prime factors of n?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2898539, -2898424, -2898309, -2898194, -2898079, -2897964?\n\"Answer: 115*v - 2898654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9442 = -2*i - c + 1439, -2*c = -3*i - 12015. Round i to the nearest one hundred.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57624*h - 10*h**3 - 57618*h + 172858*h + 1 - 57616*h.\nAnswer: -10*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2246 + -1074. Suppose 0 = -2*r + 2*h - 6*h + n, 2368 = 4*r + 2*h. Is 54 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149 by -452.\nAnswer: -149\/452","meta":{"dup_signals":{},"source":"arithmetic__div_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: Is 46494363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 5 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 3 - (-19)\/(57\/12). Solve 11*a + 14 = f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33263, 0.024, 0.5, 2\/15 in decreasing order.\nAnswer: 0.5, 2\/15, 0.024, -0.33263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -61007370\nAnswer: 3660442.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10682908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -73*z - 155. What are the prime factors of f(-8)?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -173?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**2. Let u(o) be the third derivative of -o**5\/15 + 28*o**2. Let m(y) = -2*b(y) + 5*u(y). Let k(x) = -10*x. What is m(k(g))?\nAnswer: -400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -170, -145, -76, 43, 218, 455?\n\"Answer: h**3 + 16*h**2 - 30*h - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 36*g**2. Let d(b) = 35*b**2 - 7*b**2 - 12*b**2 - 6*b**2 - 5*b**2. Determine d(t(z)).\nAnswer: 6480*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:20 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(33)\/sqrt(3) - 1*sqrt(11)*-2)**2.\nAnswer: 30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189 + -353\/2. Find the common denominator of 79\/3*(-6)\/4 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 12:33 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -v + 8 - 24, 0 = -2*d + 5*v + 26 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1306, 2623, 3952, 5293, 6646, 8011?\nAnswer: 9388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 323 = -554. Suppose 0 = -p - 5*j + 55, -4*p = p + 4*j - 170. Suppose v - p = -4*v. What is the remainder when m is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1526 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z**5\/5 - 47188852*z**4\/5 + 92782744396784*z**3\/5 + 309276276058208*z**2\/5 + 24742132285536*z - 247421071181376\/5 = 0 for z.\nAnswer: -2, 2\/3, 3932406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -1\/3*f**3 + 0 + 1\/21*f**7 + 1\/3*f**4 + 0*f**2 + 0*f**5 - 3*f - 2\/15*f**6. Factor m(u).\nAnswer: 2*u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -28, -87, -184, -325, -516, -763, -1072?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:45 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 57. Which is the closest to 1\/3? (a) -1\/2 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 987148932 to the power of 1\/2, to the nearest integer?\nAnswer: 31419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/7 - 256972*i\/7 + 4367368\/7.\nAnswer: 4*(i - 64226)*(i - 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -121\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 9856576\nAnswer: -19713152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 6\/11 (c) -4 (d) -0.24 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8243728, 16487477, 24731226, 32974975, 41218724, 49462473?\n\"Answer: 8243749*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207 + -205.992. Let b = h - 0.178. What is b rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 1566\/281?\nAnswer: 1566\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, 831214.\nAnswer: 5, 11, 831214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 768729173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h + 3*k + 17, 2*k = 4*h. Let x be h*((-12)\/3)\/(-8). Which is the nearest to 0.1? (a) -5 (b) -2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -560485 - 10?\nAnswer: -560495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 2*h**2 - 2*h**2)*(3 - 3 - 2*h) + (-2*h**2 - 3*h**2 + 3*h**2)*(h - 2*h - h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*t = 7 + 85, -2*t - 52 = -3*f. Let y be 58\/12 - 5\/(-30). Calculate the greatest common factor of f and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d - 55c26?\nAnswer: -55c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 16. Let o = -11 - y. Suppose -2*n = -n + 1. Sort o, -0.2, n.\nAnswer: o, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -102225 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*f**2 + 23*f**2 + 27*f**3 + 25*f**2 + 2*f + 0*f in the form t*f**3 + n*f + x + w*f**2 and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)\/(m**(-4\/9)*m*m*m))**(-32) assuming m is positive.\nAnswer: m**(8672\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5946*d - 2*d**4 - 11887*d + 14*d**2 + 5939*d)*(d - d + 2*d).\nAnswer: -4*d**5 + 28*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(1\/(-1)))\/(1\/23). Which is bigger: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 218\/(-55))*5. Let i = 43 - 47. What is the closest to -5 in n, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.48811 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.093124741 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**2 - 2*q + 10*q**4 + 26*q**3 - 21*q**3 + 3*q - 3*q**3 to h + f*q**4 + y*q + t*q**2 + p*q**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 557*z**2 - z + 1. Let d be 1*-2*(-8)\/16. Is c(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - ((-20)\/45 - 464\/(-72)). Sort -4, 2, 0, v.\nAnswer: -4, 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -45385513?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.32 - -3.32. Let s = -0.03 - -0.06. Let g = t - s. What is g rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(-4)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y - 336. Let r(i) = -62*i - 2. Determine t(r(z)).\nAnswer: -434*z - 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-38)*281\/3091*143\/(-65)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 2581 = -5*n + p, 0 = -2*n - 5*p + 1295. Solve n*d - 642*d + 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 8 = 2*a, -5*a + 2*n + 23507 = 23539 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(285\/10) - 2274\/304 and -63\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2*x + 2 - 2) - 1858*x + 890*x + 177*x.\nAnswer: -787*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnbnn. Give prob of picking 1 b and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 21 = 27. Solve -b - 3 = -j*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*q + 2 = 0, q = 4*w + 2*q - 16. Calculate the least common multiple of 11 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/((-1404)\/120))\/(4\/3)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - 5*t + 0*t**2 - 4*t**2)*(0 - 4 + 3 + 3 - 2 - 3 + 3 + 4 - 5 + (0 + 0 - 1)*(-1 + 3 - 5)) in the form x + l*t**2 + g*t and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdu when three letters picked without replacement from gvgdgggugggduudgv?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 7*i. Let f(b) be the first derivative of -b**2 + 3 + 0*b + 0*b**4 + i*b**3 + 3\/5*b**5. Find the second derivative of f(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18714923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 68 - 4 = 0. Let z = 40 + u. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -10. Let k(t) = -3*t**2 + 1. Let m be k(-1). Let x = m - -4. Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10864 + -9810. What is the remainder when q is divided by 118?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -121 + -5?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 0.0272307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 10*z**2 + 724*z - 414. Let d be r(-73). Solve 148*p = 152*p + d for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -6 - (5 + (4 - 10))) + 8 - 57?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-2\/5))\/(q**4*q))**(-35))**(-1\/6))**(-25) assuming q is positive.\nAnswer: q**(1925\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 5*f**2 - 6*f + 4. Let w be h(6). Suppose -7 = -w*z + 5. Suppose 3*a - 201 = 3*o, 4*o - z = 1. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 605.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-145)\/(-10)*(2 + 0). Suppose -3*p + f = 2*l, 9*l = 2*p + 4*l - 13. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/51344326 and -43\/130694648.\nAnswer: 1437641128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.5763 - -29.\nAnswer: 36.5763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 494, 2065, 4682, 8345, 13054, 18809?\n\"Answer: 523*q**2 + 2*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3563*g**3 - 16*g**2 - 37*g - 5. Is o(-2) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 2011950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6107)\/868 + 7)*-388 - 14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 32268230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18942159 to the power of 1\/2, to the nearest integer?\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.28 - -18. Let m = -2.98 - a. Let y = m - -2. What is y rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*z**4 - 6450164*z**3\/11 - 1904379592*z**2\/11 + 5769212820*z\/11 + 6372450\/11 = 0 for z.\nAnswer: -595, -3\/2717, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 283956 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - 1*sqrt(468))*-5 - (sqrt(468) - (sqrt(468) + (sqrt(468) - (-1 + sqrt(468))*-4))))*-6)**2*4.\nAnswer: -34560*sqrt(13) + 1687104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -156003995?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4689891.\nAnswer: 3, 181, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z + 1. Let m be c(1). Let b be 119\/3 - (-2 + (-30)\/(-18)). What is the greatest common divisor of m and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120121887 times -1?\nAnswer: 120121887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/3 (c) 10\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-55))\/(8\/(-60))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 times 2377?\nAnswer: 625151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2882504 and 1829.\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15.4 * -0.071729\nAnswer: 1.1046266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20786*p + 4616 - 4616 + 41547*p - 20779*p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6170283 centuries in decades?\nAnswer: 6.170283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490 by -2.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*sqrt(2)*2 + sqrt(2) + sqrt(8) + -1 + 1 + sqrt(2) + -3 + 0.\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -8*q**3\/9 + 739*q**2\/3 + 370*q\/3 + 2105. Suppose h(g) = 0. What is g?\nAnswer: -1\/4, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, 1 o, and 1 g when four letters picked without replacement from {x: 8, o: 1, g: 2, f: 7}?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 150974?\nAnswer: 7\/75487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0.31, 17\/7?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -700, 2.\nAnswer: -700, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/147?\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 35. Let y be m(10). Which is the third biggest value? (a) y (b) 0.4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, -3 in descending order.\nAnswer: 2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (12 - 4)) + 2. Let r = -1.7 + 0.7. What is the nearest to -0.1 in -4\/7, c, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 304\/42*171\/(-219). Let f = j + -103\/146. Let y = -568 + 7937\/14. Calculate the common denominator of f and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*3*1\/(-1). Suppose y*r = 6, 4 = -2*k - r - 2. Let v(n) = 2*n - 3. Determine v(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x**3 + 12*x**2 + 12*x + 12. Let y(b) = -11*b**3 + 14*b**2 + 10*b + 14. Determine -7*q(t) + 6*y(t).\nAnswer: 11*t**3 - 24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 343079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92447 is divided by 44653.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*p + 1278 = 1252, 4*y - 61 = -7*p. Suppose 0*g = 4*g - 16. Suppose g*b - 9*b + 15 = 0. Solve 7 = -j + b*a, y*j + 4*a = -0*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 3. Let d be g(3). Let l be ((-42)\/(-35) - 1)\/((-3)\/(-10245)). Suppose i = -n + 167, d*i - l = -4*n + i. List the prime factors of n.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-1))\/17*6*3\/12*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167a973 (base 11) to base 12.\nAnswer: b58129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 52. Suppose 0 = p*r - 29 - 51. What is the remainder when 22 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*q + 0*q + q)*(-1 - 2 + 1) - 1793*q - 393735 + 393735)*(0*q**3 - q**3 + 0*q**3) to f + y*q**2 + p*q**3 + l*q**4 + c*q and give l.\nAnswer: 1791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 8:37 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**4\/24 - l**3\/6 - 4*l**2. Let o(x) = x**2 - 3*x + 1. Let h be o(0). Let v(m) = -15*m - 10. Calculate h*v(a) - 10*b(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1152\/(-25344))\/(1*(-2)\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 3, g: 1, x: 1, v: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1752, -2\/3, 0, -0.517, 2?\nAnswer: -0.517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1097*c*g**4 + 13*c - g**4 + 74 wrt g?\nAnswer: 4388*c*g**3 - 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 59180*f - 3195669. Calculate m(54).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*q**2 - 2*q**3 - 49*q**2 + 8*q**2 - 52*q**2 + 295*q wrt q?\nAnswer: -12*q - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.805501l in millilitres?\nAnswer: 7805.501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-22) - (-5)\/(-8). What is the smallest value in -4, 0.3, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 60*o + 3, -109525 + 109524 = n + o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2. Let r(g) = -3348*g**2. Calculate r(z(l)).\nAnswer: -30132*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4 - (0 + -46 - -42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -95, -51, 5, 3, 84 in descending order.\nAnswer: 84, 5, 3, 2, -5, -51, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + i + 0*i - i + 3*i + (4 - 2 - 4)*(-2*i + i + 2*i) - i + 4*i - 2*i + 2*i - i + i + i + 5 - 5 - 13*i + 49 - 49)*(2*i**2 - 2*i**3 - i**2 - 3*i**2).\nAnswer: 16*i**4 + 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2874.70015 - -2875. Let z = 0.3 - w. Let h = 0 - z. What is h rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 309?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (19 + -6))\/(6 + -5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*(-5688)\/49296?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(45\/(-10))*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1556*t - 1569*t = -104. Calculate the greatest common divisor of t and 4376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288736?\nAnswer: 2, 7, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255414390 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10)*(-11 + (-304)\/(-24)). Solve -n*r - 2 = k, r + 3*r - 3*k - 16 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + b + 17 + 24 = 0, -4*b + 12 = 2*k. Solve 5*x - k - 1 = 4*i, 31 = 3*x + 4*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**4\/24 - b**3\/3 - 72*b**2. Let y(l) = -2*l + 2. Give -4*w(g) - 3*y(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.93 and 707.55.\nAnswer: 658.0215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -331 - -307.8. Let y = q - 10.6. What is y rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 31*s**2 - 2*s + 50. Let a be x(-31). Let d = -12 - -11. Let b = 8 + d. What is the greatest common factor of a and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(11) - (sqrt(11) + -2))) + -1 + sqrt(11)*1*3.\nAnswer: -11 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 741.839422 rounded to 1 dp?\nAnswer: 741.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6 - 2*r + 2 + 5*r. Let d be l(5). Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 1. Let n be d(5). Let t(u) = -u**2 + 9*u - 6. Let h be t(7). Solve -3*o + h - 2 = 0, -3*o + 2 = n*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {k: 7, w: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 543084962 from 5075.\nAnswer: -543079887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j. Solve -3*h - 2*p - 10 = j, -5*p + 4 = 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 2:21 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*r = -0*u + 32, -3*r = 3*u + 6. Solve 0 = 3*p + 3*h - 9, -u - 12 = -5*p + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -2335, -5954, -11235, -18178, -26783, -37050?\nAnswer: -48979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217465 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2799.25 and -0.471 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3229 is divided by 231.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 216, 483, 752, 1023, 1296, 1571, 1848?\n\"Answer: n**2 + 264*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -379*j + 3676. What is h(10)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 2*m**3\/3 + 28. Let z(g) = -22*g**2. What is n(z(q))?\nAnswer: 968*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137867*d**3 + 5*d**2 + 55238*d - 84 wrt d?\nAnswer: 827202*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 28. Calculate the remainder when l is divided by 35\/3 - (-4)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 144*c - 70. Is q(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 7\/120*x**5 + 0*x**2 + 0 - 13*x - x**3 + 0*x**4. Let q(f) be the second derivative of s(f). Let t(p) = -p. What is t(q(h))?\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101131, -101135, -101139?\nAnswer: -101143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23958310.\nAnswer: 2, 5, 43, 55717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1873 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 26. Suppose -14*f + 15*f = t. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**3*u**3 - 323*h**3*u + 14*h**2*u**2 + 286*h*u**3 wrt h?\nAnswer: -36*u**3 - 1938*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125802, -125633, -125478, -125343, -125234, -125157, -125118, -125123?\n\"Answer: -y**3 - y**2 + 179*y - 125979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:17 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/2 - -1 - 0. Let r = 3560 - 3557. Sort r, 5, x, 0 in increasing order.\nAnswer: 0, x, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -6*c - 6*c**2 + 11\/4*c**4 - 1 + 10*c**3. Suppose k(g) = 0. What is g?\nAnswer: -2, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10211425440 - 1?\nAnswer: -10211425441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 120 = 8*f. Let -3 + 21*h**2 - 25*h**2 - 24*h - f*h**3 + 3 + 16*h**3 = 0. What is h?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 307, 328?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-126))\/((-9)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 7*y**2 - 7*y - 6. Let i be o(-6). Suppose i = -4*a - 8 - 4. Calculate the remainder when a - (-132)\/3*1 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 h, and 1 j when four letters picked without replacement from {c: 1, h: 8, j: 2, v: 1, l: 2, g: 3}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/3098 and -87\/10?\nAnswer: 15490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16084374 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10771 - -10777. Let b be 2 - 2 - 3 - -6. Solve -9 - b = j*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 647*w**2 + 132*w - 560. What is the ten thousands digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 3 - 4 + i + 4. Let g(t) = -t**3 - 5*t**2 + 5*t - 2. Let u be g(-6). Suppose 0 = -u*a - 11 - 9. Determine b(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -12\/29, -1, -2 in increasing order.\nAnswer: -2, -1, -12\/29, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ram when three letters picked without replacement from {a: 2, s: 1, r: 10, e: 3, m: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.1. Let c = 2.2 + -0.2. What is the nearest to z in 3, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 + -111. Suppose 0 = -3*g - 2*k + 37, 5*g + 4*k - d = 10. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.9. Let z = -7 + 4. Which is the closest to n? (a) z (b) 1\/10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -43772.7.\nAnswer: -43777.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 451 + -395. What is the greatest common divisor of 2730 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 87*z**2 + 291*z + 335. Determine m(-90).\nAnswer: -1555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/120 - s**4\/18 - s**3\/12 - 761*s. Find j such that g(j) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1720*q**3*w**2 - 179986*q**3*w + 1214390792*q**2*w**2 wrt q?\nAnswer: 10320*w**2 - 1079916*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 17321000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, s: 3, b: 1}. Give prob of picking 1 b and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**2 - 29*d**3 - 33*d**3 - 28*d**2 - 4*d**3 wrt d?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25494, 25117, 24740?\nAnswer: 24363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16618419 to the nearest integer?\nAnswer: 4077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -272*b + 145. Is d(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 254*b**2 + 4*b + 6. Let h be j(-3). Suppose -16*s + 4*s = -h. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 - 22) + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.312 - -1.712. Put -4, 2\/3, o in decreasing order.\nAnswer: 2\/3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -25095613 and -25095613 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506932 is divided by 111.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393*-8.\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**4 - 2*a**4 + 4*a**4 + (0 + 0 - 2*a**2)*(-3*a + 2*a**2 + 3*a) + (377*a + 1050*a**2 - 377*a)*(-a**2 - 5*a**2 + 2 - 2).\nAnswer: -6306*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(342*j + 132*j - 183*j).\nAnswer: 291*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 9. Determine f(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 2*d - 44*g + 44 - 6, 2*d + 2*g = 46 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**3 + 20*t**2 + 33*t + 26. Let d be b(-14). Round d to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.93244 and 5?\nAnswer: -4.6622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 6) + 0\/(4 + 0). Is -1*3\/9*n*2467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14765057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v + 20. Let r be d(17). Let q be (36\/8)\/(-9)*r. Is q + (1 + -4)*1 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3473 + -3472. Sort 19, g, -22 in decreasing order.\nAnswer: 19, g, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from {o: 9, n: 1, c: 6, k: 3}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 + 49. Suppose w = v + 5*v. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32225*b**3*y - 5*b**3 - 3*b**2*y**2 + 20*b*y**2 + 35599*b*y wrt b?\nAnswer: 193350*b*y - 30*b - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**3 - 2*n**2 + 4*n - 1. Calculate j(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 39 = -307. Suppose 0 = -5*z + 162 - 47. Calculate the remainder when l is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102869.4 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/5)\/(1\/(-5)). Suppose -2*n - 3*j - j = -d, 5*n = 2*j + 22. What is the highest common factor of n and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(500) + sqrt(500) + 2)*-2)**2.\nAnswer: 8000*sqrt(5) + 200400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(0 + (-4)\/10). Suppose -32 + 12 = v*y. Let r(i) = i**2 + 3 - 3 - 2 + 4*i. What is r(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*y**2 - 37853*y**3 - 86*y**2 + 75745*y**3 - 37888*y**3.\nAnswer: 4*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -46789 - -171?\nAnswer: -46618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 10989 = -10917 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -440 + 3082\/7. Is 0.223 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523491107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3161802561.\nAnswer: 3, 31, 67, 507431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -118 and -5.72182?\nAnswer: 112.27818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, 187 in increasing order.\nAnswer: -28, 3, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 4 + -5 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6578\/(-442) + (88\/(-187))\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 + 0 - (9 + -2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, x: 3, z: 7}. Give prob of picking 1 q and 2 x.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 44 = -4*p, 6*p = p - u - 39. Let f(t) = -61*t + 9. What is the units digit of f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5521 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/(4\/24). Let a be 6 - ((-32)\/4 + 5). Sort a, j, 2 in increasing order.\nAnswer: j, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f**4 + 120*f**2 - 120*f**2)*(-2*f - f + 2*f - 2*f + f - f + (-2*f + f - f)*(-1 + 0 + 2) - f + 4 - 4 + 0*f - f - f).\nAnswer: -128*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w - w)*(0 + 1 + w - 2).\nAnswer: -5*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.12 (b) -0.07 (c) -32 (d) 0.08 (e) 2.3 (f) 2\/13 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -209 divided by -128212\nAnswer: 11\/6748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -143436 divided by 23906?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:45 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5362 + 11895408322\nAnswer: 11895413684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-728)\/196 - (-6 + -4)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.628643 - 9\nAnswer: -6.371357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -5*r - 5*s, 0 = 5*r + 330*s - 332*s + 55 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8005 a factor of 1666958531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*451.693.\nAnswer: 1806.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10001111111110011 (base 2) to base 11\nAnswer: -50424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1752 = -400. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k + 1. Let r be -72*((-28)\/(-12) + -3)*1. Suppose -r + 63 = 5*l. Calculate p(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from rzzhebrzzre.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 4. Let j be b(-2). Let d = 4863 + -398. Suppose j*o + 3*r - d = -1679, 3*r = -3*o + 4185. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101039 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03437744149 rounded to five dps?\nAnswer: -0.03438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 9:05 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7299363.\nAnswer: 3, 19, 79, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-12)*(-1)\/9. What is the second smallest value in n, 0, -9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5 + 22*a + 14*a - 37*a. Determine o(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 677 - 743. Let l = u - -312. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 6*q**2 - 4. Let x be p(6). Let f(c) be the first derivative of -1\/2*c**2 - 3*c - 2. Give f(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770*n + 232*n + 14028 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7596\/13 - 584. Suppose 2*i + i = 4*p + 230, 8 = 2*p. Let j = i + -83. Which is bigger: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1899*p - 106423 = 45*p + 1489*p for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 11*h**3 - 11)*(10*h**2 - 11*h**2 + 7*h**2) + (0*h**5 - 6*h**5 + 4*h**5)*(4 - 1 - 5).\nAnswer: 70*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.167975t to kilograms.\nAnswer: 3167.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/7 + -16\/7. Let h = 3576 + -3602. Which is the nearest to -2? (a) h (b) z (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 880499*x**3 - 5*x**2 + 1330*x + 150 wrt x.\nAnswer: 5282994*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -486, -980, -1484, -1998, -2522, -3056, -3600?\n\"Answer: -5*i**2 - 479*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 5*g + g)*(4*g**3 - 5*g**3 + 0*g**3) + (-3*g + 0*g + 2*g)*(-61*g**3 + 17*g**3 + 13*g**3) as x*g**3 + l*g + d*g**4 + y + b*g**2 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25 + -0.076767148.\nAnswer: -0.326767148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, d: 1, j: 2, y: 7, v: 2}. What is prob of sequence djy?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -4*s - 0*r, -2*r = -2. Let z(f) = 4*f - 5. Let a(l) = -3*l + 5. Calculate s*z(j) - 3*a(j).\nAnswer: j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:28 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + 92. Let f = -106 + t. What is the remainder when 56 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1447 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4460\/(-1561))\/(736\/(-112) - 14\/(-2)).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-8))\/(3\/(-48)). Suppose 106 = 5*x - b*y, 0 = 3*x + y - 67 + 17. Suppose 12*u = 6*u + x. Solve -25 = -8*h + u*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 8*i**2 + 10*i - 6. Let v = -11 - -18. Calculate the remainder when 28 is divided by q(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 21*h - 4. Let k be l(-21). Let w be 0 + 1 - (-8)\/(-10). Which is the smallest value? (a) -1 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.11 (b) 18\/5 (c) -24\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 808057 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*n + 8353, 0*y = 5*n + y - 13923. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282044 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 85*m - 1804. Let q be z(-43). Let c(l) be the first derivative of 4 + l**q - l - 1\/3*l**3. Solve c(x) = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 12*i + 306 = 0, 81*i - 21 - 105 = -2*b + 86*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c3b - -290?\nAnswer: -97b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -3*p + 166. Let y be -13 + 19 - p*(1 - 1). Calculate the common denominator of (40\/y)\/(-5)*(-57)\/(-9) and 29\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 4 - (2 + 1). Find the second derivative of -d + 1 + 2*d**k - 1 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421800098.\nAnswer: 2, 3691, 57139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 42. What is the highest common factor of 110 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 259*h + 790. Let w be a(-3). Solve 0 = 14*f - 27*f - w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -5, 24, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 1\/2016*s**8 + 0*s - 10*s**2 + 0*s**3 + 0*s**4 - 1\/360*s**5 - 1\/420*s**7 + 0 + 1\/240*s**6. Factor a(q).\nAnswer: q**2*(q - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 5:39 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(480\/(-270)))\/((-27)\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 1 - (32 + -52)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/18)\/((-2)\/(-18)))\/1*-4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 6*g - 3. Let a(x) = 7*x**2 + 11*x - 5. Suppose q - 2*t = -1, -2*q = 2*q - 3*t + 9. Let c be (-26)\/q - 32\/(-24). What is c*z(d) - 6*a(d)?\nAnswer: -2*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - -1365cc?\nAnswer: 136604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16580992.\nAnswer: 2, 129539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (75\/(-7) - 48\/168). Solve -r = 6*n - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Suppose -3*x = x + r. Let j be 1*(-4)\/2 - (-3)\/(-3). Sort x, 4, j in decreasing order.\nAnswer: 4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 - (1 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 times 6\nAnswer: 3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 692332 = -2*j, 933605 = 5*z + 5*j - 797155. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffr. Give prob of sequence frfr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*p - 70 + p**4 - 2*p**3 + 35 + 33 + p**2 in the form r*p**4 + b + m*p**2 + w*p + g*p**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -12. Suppose d*v - 96 = -90. Find the third derivative of -339*s**2 + 192*s**2 + 172*s**v + 5*s**6 wrt s.\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 33 = -8. Let h(s) = -5*s + 4. Let p(w) = 2*w - 1. Let z(b) = 4*h(b) + 11*p(b). Let t be z(x). Is t at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/22)\/((-72)\/(-792))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139968?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 19 - -14) + 18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.710762 - -18.710992. Let c = 18 - n. What is c rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from fvjvvfjfvzffvvvjfvv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 155, 958, 3141, 7394, 14407, 24870, 39473?\n\"Answer: 115*o**3 - 2*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/6 (b) -3 (c) 1\/9 (d) -2 (e) 5 (f) 525 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l. Let x(b) be the first derivative of -301*b**2\/2 + 1408. Determine g(x(k)).\nAnswer: 1505*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 52664232?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 a when four letters picked without replacement from {a: 4, r: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1341539954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*r**3 - 48*r**2 - 660*r - 144.\nAnswer: 3*(r - 6)*(r + 4)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2930305.00089 - -2930344. Let i = -18 + 57. Let d = i - f. What is d rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -0.3. Let u = 32 + -35.8. Let j = w + u. Which is the closest to 0.1? (a) -0.4 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275824*p**3 - p + 0*p + 275826*p**3 + p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1813, -3667, -5523, -7381, -9241?\n\"Answer: -m**2 - 1851*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n = 6. Let c(x) = 3*x - 6. Let h be c(n). Is 10 - (h - 1)*1 - -1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:12 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-1 + sqrt(245)*1 - (-4 + 1 + sqrt(245)))*-2)*4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = d - 3*u - 22, 8*d = 5*u + 36. Factor 1\/5*p**3 - 2\/5 - 1\/5*p**4 - 1\/5*p + 3\/5*p**d.\nAnswer: -(p - 2)*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111 (base 4) to base 6.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 264. Let y be u(-11). Let p = y - 222. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670786013 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -15 - 468*d + 31 + 48 + 511*d - 18*d**2 - d**3. Determine f(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 4345.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 589, 601, 635, 703, 817, 989?\n\"Answer: 2*u**3 - u**2 + u + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x - 5*z - 15 = 0, -2*x = -4*z - 10. Let v(g) = g + 3*g**3 + 9*g**2 - 4*g**3 - 4*g**2 + 5. What is the smallest common multiple of v(x) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.35 - -4.42. Which is greater: d or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335654 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2, 950*c + k = 954*c - 31 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13303*y - 21. Let t be z(7). Round t to the nearest one thousand.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -8, -31, -74, -143?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*h - 6478 + 11014. What is the greatest common divisor of 459 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b, 5*i - 5*b - 16825 = -7*b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0 - 1\/60*w**6 + 0*w - 1\/8*w**4 + 0*w**3 + w**2 + 0*w**5. What is the second derivative of m(c) wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*q + 98*q = 78455. List the prime factors of q.\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 5. Solve g*l = 10*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1155*i + 33 = 1145*i - 2311*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/(-2))*5\/2. Let p = 8 + -7.7. Which is the nearest to -1? (a) y (b) p (c) -0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*v + m + 10, 4*v = -4*m + 8. Solve -2*c + 8 + v = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 34*j + 12 to the form c*j + g and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/20 - u**4\/2 + 5*u**3\/2 + 3*u**2\/2 + 13*u. Is p(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) -6.541 (c) -3\/10 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*2*sqrt(2736) + 6*((-2 + sqrt(2736) + 1)**2 - sqrt(2736)).\nAnswer: -312*sqrt(19) + 16426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229130947.\nAnswer: 11, 10158107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*v**2 + 2*v + 249.\nAnswer: 56*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 7*f + 13. Let c be u(4). Suppose 4*t - 6 = -j, -j = -0*j - 2*t - 24. Let z = j - c. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)*t*t*t*t**(-2)*t*(t\/(t*t\/t**(-2\/9)*t*t)*t*t*t)**(-2\/5) assuming t is positive.\nAnswer: t**(-86\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 27*s - 42. Let x be n(-7). Let l = -163 - x. Let q = 96 - l. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 5*q. What is y(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 4*d = 0. Let t(h) = 36*h + 933. Is 31 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l + 33 = -29 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16724*-1988\nAnswer: -33247312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -7 + (-2912)\/(-13). Suppose -4*v - 5*u + 127 = -3*v, 2*v - h = -3*u. Is 34 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 38, 115, 226, 371, 550, 763?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5. Let t = g - 7. What are the prime factors of (-9 + 12)\/((-2)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/27, 0.21912, -0.3, 0.3, -2\/13, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {k: 2, q: 5, p: 3, l: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 444 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-220904)\/(-96672) + (-18)\/8. Let z(h) be the first derivative of 6\/19*h**2 - 18\/19*h + 14 - t*h**3. Factor z(j).\nAnswer: -2*(j - 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gigi when four letters picked without replacement from igvvvvvitvvtvgtvvivv?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147593, -149301, -151009, -152717, -154425, -156133?\nAnswer: -157841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61754 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4 - 1287*s**3 - 300360*s**2 - 4464000*s = 0 for s.\nAnswer: -155, -16, 0, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 2*l = 29*x - l + 3*l + 216, 0 = 5*x + l + 23 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.021*-1835.\nAnswer: 38.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11067 - -1058?\nAnswer: -10008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1825*u**3 - 1783*u**3 - 2.\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5416 and 62.\nAnswer: 167896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, 5, -1, 0.5, 441, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 236\/(-649)*(-15)\/20\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + 2 - (-32 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*r - 1960303 = -1957711 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = 4*x - 0*x, -2*s - 2*x + 16 = 0. Let a be (-1 - (-3 + 3))*(-7 - -6). Sort a, -3, s in increasing order.\nAnswer: -3, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 54*j. Let z(i) = -i. Determine z(p(q)).\nAnswer: 3*q**2 + 54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*(1 - 11). Suppose 2*h - f = -1. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 3:28 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 2. Let w be d(1). Suppose -2*o = -44 - 14. Suppose w = 5*a + o - 94. What is the remainder when 49 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 165.5753102 to two dps.\nAnswer: 165.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1674.262 to the nearest integer.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8327 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 - 124 = 55*j + 196 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 654 (c) 13 (d) -1\/7 (e) 4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6343651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -665 - -667. Let r be ((-18)\/(-15))\/(4\/10). What is the third derivative of -2 + 15*l**r + 19*l**w + 2 - 34*l**3 wrt l?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) - (-1)\/2. Which is the second biggest value? (a) 3\/5 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 16385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465\/140 - (1547\/1820 + 1*(-8)\/80).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5 or -287859?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37065164 to the nearest integer?\nAnswer: 6088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -67 - -7\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*g + 869 = -1089 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*a + 5*a + 14, -q = 5*a + 8. Let x(y) = -4*y + 2. Is x(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -329 - -329.652. Let y = 0.59 - l. What is y rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4129, 2, 4, 7 in increasing order.\nAnswer: -4129, 0, 1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 1 + -4)**2*-3.\nAnswer: -8235 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -318 + 669. Let j = u - 347. Is -4 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/34 + 71\/102. Let z = -0.04 - 0.26. Let l = 1.3 + z. Do l and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13081, 13069, 13049, 13021, 12985, 12941, 12889?\n\"Answer: -4*p**2 + 13085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/2*3\/(-6). Let r = o - -6. Let z(y) = -y**2 + 8*y + 7. What is the units digit of z(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/770)\/(1545\/3605).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27820 + 27832. Suppose -4*q - 12 + 32 = 0, -5*k + 4*q + 1890 = 0. What is the remainder when k is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2\/(-4)*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -80*n + 45. Let a(k) = -9*k + 5. Suppose 4 = -6*l + 7*l. Let h(i) = l*j(i) - 35*a(i). What is the first derivative of h(v) wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -132845*m + 11424674. Calculate s(86).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(54 - -4 - -2)*(-907 - -902)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000367317806 rounded to six decimal places?\nAnswer: 0.000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 42 = 3*v - p, v = -3*p - 58. Let z = -47 + 81. Let n = z - v. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 629432 by -2.\nAnswer: -314716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/57 and -76\/2037?\nAnswer: 38703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-42))\/(49\/(-147))*7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/10 - 336\/(-20). Suppose -5*w = t + k, 5*w = 4*t + w - 28. Suppose -145 = -5*b - 5*g, 2*b + 0*b + t*g = 56. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(931) + 2)**2 + (sqrt(931) - (5 + (sqrt(931) - (sqrt(931) - (sqrt(931)*1)**2 - sqrt(931))))) - (sqrt(931)*-2 + -2 - (sqrt(931) + -1 + 5)))*-4.\nAnswer: 28*sqrt(19) + 7460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43427, 85616, 127809, 170006, 212207, 254412, 296621?\nAnswer: 338834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 12*g**2 + 3*g + 6. Let t(n) = -n**3 - 16*n**2 - 4*n - 7. Let i(l) = 4*f(l) + 3*t(l). Give i(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/2 - 8737*s**4 - 3*s**3\/2 + 26212*s**2 - 17474*s = 0. Calculate s.\nAnswer: -2, 0, 1, 17474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4375539 and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 1647.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015 + ((-6)\/(-39) - (-10)\/(-65))?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33012267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-6)*l))**(-6\/17)*(l*l*l**(5\/6))**(2\/37) assuming l is positive.\nAnswer: l**(-3707\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 104. Let h = 1 + -1. Which is the closest to h? (a) -3 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32562 is divided by 1559?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:54 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8*q + 6230 = 10*q, 2*q = -3*c + 3734. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d - 160 = 0. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 2*v**2 + 2. Determine c(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1667 = n - 2*q, 3*n + 1666 = 4*n - 3*q. Suppose 3*s = -502 + n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*b - 66 = 139*b + 142*b - 417*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (0 - 1 - -3). Suppose 3*k + 23 + 32 = -5*d, -d + 5*k - 11 = 0. Let s = d - -13. Solve 0 = -s*i + 5*i + b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -43, 0, 2, -63 in increasing order.\nAnswer: -63, -43, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1035 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -21*u**3 - 203*u**2 + 12*u - 12. Let z(d) = 22*d**3 + 204*d**2 - 10*d + 10. Let w(l) = 5*s(l) + 6*z(l). Find the third derivative of w(i) wrt i.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 24*h**5 - 2612*h**4 - 8428*h**3 - 9372*h**2 - 4028*h - 448 = 0.\nAnswer: -1, -1\/6, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t + 5. Suppose 2*g + 0*b - 2*b - 22 = 0, -3*g + 1 = t*b. Suppose -q**4 + 21*q**2 + 8*q**3 - 2*q**4 - 8*q - 8 - g*q**2 - 3*q**4 = 0. What is q?\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/235 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 2*q = -12, -5*q = -4*y + 6. Suppose 20*i - 22*i = -y. Solve 2*j - 16 = -i*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1111169, 1111055, 1110941, 1110827, 1110713, 1110599?\n\"Answer: -114*g + 1111283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-75)\/(-27) + 4\/18. Suppose 2*s = -43*z + 40*z + 2, -18 = 4*s - 5*z. What is the nearest to s in -3, g, 16\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87696 not equal to 87690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let m(y) be the third derivative of -y**4\/6 - 7*y**2. What is m(l(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**3 - 984*d**2 - 117*d + 19236. Determine o(164).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58932, -58975, -59070, -59241, -59512, -59907, -60450?\nAnswer: -61165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (271*q**3 - 3673 + 3673)*(0*q - 3*q + 5*q + 2).\nAnswer: 542*q**4 + 542*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) 9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = -3*z - 4, -5*j + 20 = -z. Let r be (-3 - -1)*((-63)\/6 - z). What is the derivative of 6*a + 11*a - 17*a - 5*a**3 - r wrt a?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.625748mm?\nAnswer: 1625748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.116 and 82324.\nAnswer: -9549.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - 5*r - 2. Let a(n) = -13*n**2 - 16*n - 7. Determine 2*a(p) - 7*x(p).\nAnswer: 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-175) + -1 + -2.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 304\/10 + (-4)\/10. Let k be (45\/4)\/(8\/32). What is the highest common divisor of j and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7) - (-410)\/(-595)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -36*k. Let a(o) = -11956*o**2. Give b(a(c)).\nAnswer: 430416*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 234 - 222. Suppose -b - 3*i = -0*b - 113, 15 = 3*i. Suppose -3*k - 186 = -4*x, 2*x = 8*k - 4*k + b. Calculate the remainder when x is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 10*g - 12. Let o(s) = -s + 1. Let l(w) = w + 4. Let b be l(8). Let n(u) = b*o(u) + h(u). Let x(q) = 5 - 3*q - 5. Calculate n(x(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21*i**2 - 79*i + 499. Let w be f(7). What is the highest common divisor of 300 and w?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(18)*1*3)\/(sqrt(96)*2) + (sqrt(6)\/(sqrt(2)*3) + 5 + sqrt(3)*-3 + -5)**2.\nAnswer: 3*sqrt(3)\/4 + 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-732)\/(-72) - (-9 + (-56)\/(-6))?\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/((-6)\/(-87)) - (2 - -3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqd when three letters picked without replacement from tdmqdqd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.7 and -10.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 25 + 5)*20\/(-32)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 118*o**2 - 8*o - 9. Let b(t) = -232*t**2 + 15*t + 19. Let r(x) = 3*b(x) + 5*k(x). Find the second derivative of r(m) wrt m.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*k = -1700, -225 = 5*j + 3972*k - 3970*k for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 20 = 4*u. Suppose 2*f - 14 = -5*o, 2*f + 2*o - 60 = -2*f. Let m = f + u. What is the greatest common divisor of m and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -375 + 623. Suppose v = -6*u + 710. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2572, 4411, 5524, 5911, 5572, 4507, 2716?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 + 7*k - 20. Let v be b(3). Sort -1, v, -31.\nAnswer: -31, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 16*j - 31. Let w(x) = -2*x + 1. Let v be w(-1). Let a be q(v). Solve 0 = -5*s + a + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (12\/15)\/2. Let k be (-2 + 3)*-15*1\/(-5). Which is the third smallest value? (a) -1\/18 (b) -0.5 (c) k (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 14. Which is the third smallest value? (a) j (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12\/17, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -28059253*n**2. Let y(f) = -2*f**2. Determine p(y(b)).\nAnswer: -112237012*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9c (base 14) to base 4.\nAnswer: 200302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.1. Let q = 0 + k. Let h(u) = u**2 + 5*u - 2. Let v be h(-5). Which is the second smallest value? (a) -0.2 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(153) + (-1 + sqrt(153))*3 + sqrt(153))**2.\nAnswer: -36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11607.\nAnswer: 3, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2440 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 10*s**2 + 32*s + 107. What is n(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-20) - (-2)\/4. Let k = -5042 - -5033. Which is bigger: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 3\/(0 - -1). Let k = 8 - 6. Let x be -1 + v + k*5. Solve -3*h = d + x, 0 + 3 = -h - 3*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 12:41 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 9. Let w be h(7). Suppose 1 = -w*q + 66. Suppose 8*y = 320 - 136. What is the remainder when y is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257 - 250. What is the units digit of (-21)\/a - -231 - (-8)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 + 12993*u**2 - 232713*u - 815157 = 0.\nAnswer: -3, 21, 4313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851672102?\nAnswer: 2, 3, 7, 44087431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*d - 4*f, 2*f = -d - 0*f - 26. Let q = d + 24. What is the units digit of q\/(-18) + 3040\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2380 and 10948?\nAnswer: 54740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + i + 5. Let z(p) = 146*p + 25. Give -5*r(f) + z(f).\nAnswer: 5*f**2 + 141*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(1\/6)))\/(x\/x**(-2\/3))*(x**(-2\/7))**(-1\/13))**(2\/15) assuming x is positive.\nAnswer: x**(-989\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqcrcrgd. What is prob of sequence gyrr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let u(v) be the second derivative of 5674*v**3\/3 - 6905*v. What is u(h(z))?\nAnswer: 11348*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 8*k = 4*b - 48, 1 = b + 3*k. Solve 33 = -5*c + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -1\/12*t**4 + 4*t + 0*t**6 - 1\/210*t**7 + 0 + 203\/60*t**5 - 45\/2*t**3 + 21*t**2. Find the second derivative of z(a) wrt a.\nAnswer: -12*a**2 + 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110110110100101110 (base 2) to base 7.\nAnswer: -6236140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 10*m**2 - 3*m**3 - 10023*m + 10034*m. Let j be x(-11). Solve 16 = 4*k - z, j = -2*k - 0*k - 4*z + 26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffxfxffxf. Give prob of sequence xx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 9 = -5*s. Suppose -s*l + c = -106, 3*l - 110 = -2*c + 4*c. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477687085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 77, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 5\/283, 7\/6, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362984152?\nAnswer: 2, 41, 251, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*d + 16 = 0, 4*v - 6*d = -2*d + 16. Let f be (-12 - (-225)\/18)*2. Sort v, 4, f in decreasing order.\nAnswer: 4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7601 (base 8) in base 3?\nAnswer: 12110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7931 + 79229\/10. What is the common denominator of p and 111\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (155635\/(-20))\/17*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - ((2 - 14) + 2)) + -14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 182 (base 9) to base 6\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 + 14*o**2 - 9*o + 17. Let w(n) = n**3 - 5*n**2 + 3*n - 6. Suppose -4*f + 10 + 18 = 0. Let b(i) = f*w(i) + 2*t(i). Is 16 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/10*(-104)\/3 + 3. Let u = 128 - r. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8130 = 5*d, -5*d = -1214*g + 1210*g + 8130. Do -1628 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.5 - -45.5. Let v = 55.99999735 - o. Round v to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(0 - (1 + -4)). Suppose 0*v = -n*w + 2*v + 13, w - 9 = -4*v. Find the second derivative of 7*c + c**5 - 4*c**w - 5*c wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2874 (base 10) in base 12?\nAnswer: -17b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -37*q + 60. What are the prime factors of f(-12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 547084*n - 37412612882.\nAnswer: -2*(n - 136771)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*b**3 - 1227203*b + 137106238 wrt b.\nAnswer: -111*b**2 - 1227203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15703 - 8627. Suppose -4*m = -m - 2628. Suppose m = q + w. What is q rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/(-57)*10*(-3)\/(-4). Let m(u) = u**3 - 7*u**2 + 7*u - 1. Let t be m(6). Let j = t - y. Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58699*h**3 - 59983*h**3 + 8418*h - 59554*h**3 + 180253*h**3 wrt h.\nAnswer: 12102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -66 - 1\/2*k**2 - 28*k**3 - 147*k. Find the second derivative of q(z) wrt z.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d**3 + 657*d**2 + 191*d + 446. Calculate s(66).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 1, g: 1, l: 1, e: 5}. What is prob of sequence leox?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52, -51, -306, -719, -1296, -2043, -2966?\n\"Answer: -b**3 - 70*b**2 + 114*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 141, 245, 387, 579, 833, 1161, 1575?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -835 (base 11) to base 14\nAnswer: -51c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1388849 and 9549?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -266\/299 - -24\/23. Put 0.2, a, -0.5 in decreasing order.\nAnswer: 0.2, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 + i + 12. What is the least common multiple of 10 and t(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.54 (b) 4 (c) 1 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -2, -7, -3, -4, -0.3 in descending order.\nAnswer: 4\/11, -0.3, -2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378.969 + 379. Let g = -117.069 + 117. Let j = r - g. Which is the second biggest value? (a) -1\/7 (b) 0.5 (c) j (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and -3.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-16))\/(((-986)\/(-116))\/((-34)\/(-8)))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -22\/939 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -140 and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/28 + -2)*-4. Solve 2*t + 5 = k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*q - 6*q - 400 = 0, -4*o = 6*q - 384. Solve o*s + 119 = 82*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 78\/12)*(2 + 0). Suppose -4*j - z + 4*z = -65, -5*z = -l*j + 57. Are 14 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*-2*(-1 + sqrt(208) + 1 + 3)*1)**2*-2.\nAnswer: -27776 - 3072*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/3 (b) -1\/5 (c) -0.5 (d) -0.507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 377 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, o: 11}. What is prob of picking 1 x and 2 o?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**2 + 0 - 5*l + 5\/12*l**4 + 0*l**3. Let r(t) = -2*t. Give r(b(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1839*p + 7976*p + 1436*p + 1046*p**2 + 3264*p**2 wrt p?\nAnswer: 8620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*9\/((-72)\/(-16)) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {r: 1, c: 2, k: 2, t: 4, q: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(15)\/sqrt(48) + (sqrt(605) + -1 + sqrt(605) - sqrt(605)) + (sqrt(5) - (sqrt(5) + (sqrt(20))**2 + sqrt(5))*-1).\nAnswer: 14 + 57*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, 2, -2 in increasing order.\nAnswer: -2, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (0\/2 - 1) + 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*n**2 + 1070484*n + 267620 = 0. What is n?\nAnswer: -66905, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**3 + 37*s**2 - 8*s + 8. Let u(y) = 25*y**3 + 145*y**2 - 34*y + 31. What is 13*b(f) - 3*u(f)?\nAnswer: 3*f**3 + 46*f**2 - 2*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkxkxxx. What is prob of sequence xx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4332135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34, 63, 90, 115?\n\"Answer: -f**2 + 32*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - 0 - (-1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24.3 and 2287011561.\nAnswer: 2287011585.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-2)\/u)*u)\/u**3)**(-17\/6))**22)**(-3\/10) assuming u is positive.\nAnswer: u**(187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-23))**(11\/4)\/(w**12*w*(w**31*w*w)\/w*w) assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1004932 + 0.2362\nAnswer: 0.3366932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4\/7))\/m**(2\/5))**(-5\/2)\/((m*m*m*m**(-3\/2)*m*m*m)\/m*m*m\/m**6)**(-23) assuming m is positive.\nAnswer: m**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 449 = 5*k, -4*k + 2*k = 9*i - 128. Calculate the remainder when k is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9473 - -9455.1. Let x = 1541.07 + -1558. Let a = x - b. What is a rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*d + 5*p, -d - p + 18 = -5*p. Suppose -2*g + 2*b + 40 = 0, 5*g - 37 = -d*b + 49. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-504)\/(-35) + (196\/35 - 6). Let q = -10 + 22. Suppose -19*n - q = -22*n. Solve -n*z - 8 = 0, 0*k + z = -4*k - v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (27\/(-6))\/(-3) + -5 + (-28409)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 22 = 5. Let z(h) = 3*h**2 + 4*h + 1. Let w(b) = b**2 + b. Let j(k) = o*w(k) + 6*z(k). What is the remainder when 17 is divided by j(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -581 + b + 5*b**2 + 581 to a + d*b**2 + n*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4216 and 9365?\nAnswer: 39482840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487203011\/1106 + -440509. Find the common denominator of -41\/350 and p.\nAnswer: 27650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23732 = 2593*z - 2198 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 35*g - 11*g + 23*g - 1. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = k + 3*r - 76, -4*r + 158 = 2*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 130*o**3 + 12*o - 12. Let p(c) = -c**3 + 17*c**2 + 75*c + 194. Let r be p(21). Let k(w) = -52*w**3 - 5*w + 5. Calculate r*l(n) + 12*k(n).\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-12))\/(2782\/(-104) + 25). Factor -867\/7 - b*h**2 - 102\/7*h.\nAnswer: -3*(h + 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2 + -18?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -84, -30, 24?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from xxxlxxxxxlx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 21*s**2 + 67*s - 28. What is g(-17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -4*u**3\/3 + 33*u**2\/2 + 8*u - 2. What is c(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a**3 - 7*a**2 + 3. Let s(v) = 10*v**3 + 10*v**2 - 4. Let t(d) = 7*f(d) + 5*s(d). Let n be t(0). Put n, -21, 5 in decreasing order.\nAnswer: 5, n, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 3\/19 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let u(m) = m**2 - 3*m - 1. Let w(h) = -2*l(h) + u(h). Let s be w(-5). Suppose -s = -3*b - 7. What is the least common multiple of 9 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 3. Let b be a(3). Suppose -b = -3*p - 3. Let t be 2\/(-5) - 44\/(-10). Let i(j) = -j**2 - 1. Let x(c) = 2*c**2 + 6. What is p*x(q) + t*i(q)?\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 3:08 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*z**2 + 52*k*z + 3*k + 15524*z**3 + 80 wrt z?\nAnswer: -2*k + 93144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(65)*-2 + sqrt(65) + sqrt(65)))\/(1*sqrt(245)) - (sqrt(208)*-4 + sqrt(1300) + 3 + sqrt(1300)))**2.\nAnswer: 24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)\/((j*j**(-32))\/j)*(j\/(j*j\/j**(1\/8)*j))\/j*j\/(((j**(-10)*j)\/j)\/j))**(-43) assuming j is positive.\nAnswer: j**(-42269\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - 5*(2*sqrt(2448))**2)*-1 - (-3 + (0 + sqrt(2448) - sqrt(2448)) + 4)**2.\nAnswer: -12*sqrt(17) + 48959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22085, -44403, -66721, -89039, -111357, -133675?\n\"Answer: -22318*l + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 1\/4*m**4 + 0 + 3*m - 9\/20*m**5 + 0*m**2 + 0*m**3. Find the third derivative of c(j) wrt j.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -8\/3, -1\/7, -5, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4603 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 27 = -17. Let i(b) = 13*b**2 + 13*b + 11. Let f(d) = 3 + 8*d + 4*d**2 + 3 - d + 3*d**2. Suppose 11 = 3*h - 7. Determine h*i(n) + q*f(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 603, 715, 827, 939, 1051?\n\"Answer: 112*i + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/14*(-9136)\/6. Suppose 4*x + 5*c = d, 4*x - 1350 = -c + 934. What are the prime factors of x?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6*u + 39. Suppose -3*f + 29 = -x + 3*x, -x - u = -f. Let r = -8 + f. Solve 0 = -r*b + 6, 3*o - 2*b - 3 = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 32*w. Let y(z) = 5*z**2 + 913*z + 3. Calculate 2*f(m) - y(m).\nAnswer: -m**2 - 849*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = 3. Let i be (j - 0)\/(3\/(-12)). Suppose 5*c - 85 = -5*k, 0*k - 84 = -i*c + 4*k. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -126?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1064 + -3?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-49)\/3 + -2)\/(13\/(-39)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/6 - -1) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -13*w**2 + 2*w**2 + 0*w**2. Let m(q) = -26*q**2 - 396*q - 11. Let r(u) = 5*u**2 + 72*u + 2. Let f(c) = 2*m(c) + 11*r(c). What is x(f(n))?\nAnswer: -99*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 7*t**2\/2 - 1. Let b(p) = -p - 1. Let u(a) = -1 + 6*a - 17*a - 10 - a**2. Let n(r) = -22*b(r) + 2*u(r). What is n(j(f))?\nAnswer: -98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/2575435?\nAnswer: 3\/2575435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 158387300 to the nearest 100000.\nAnswer: 158400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007662199.\nAnswer: 17, 631, 93937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59, -418, -1301, -2942, -5575, -9434?\n\"Answer: -39*d**3 - 28*d**2 - 2*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*u**3 - 28*u**3 - 41*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -6. Let d = k - 15. Solve 3*c + 16 = -4*o, d = -2*c - 2*c - 5*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -207*d**3 + d**2 - 251*d + 470. Calculate j(2).\nAnswer: -1684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-26 + 8 + 38).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13, 5\/3, -12, 341?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 23 (b) 5 (c) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwtw when four letters picked without replacement from nstsssanwnnwwwwwwwt.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 234860267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 16320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -503 - -208. Let y = m + 295.00000257. Round y to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -156 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 7029 (c) 0.09 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -56. Let m = 0 + 2. Suppose -i = k - m*k. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1, 1\/4, 17\/140, -3, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-6)\/10)*(-1 + 0). Suppose -4*c + t*b + 254425 = 0, -b - 124308 = 5*c - 442303. Round c to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 8) to base 5\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - 8\/(-4) - (-11 - 3 - -11). Put -55, 5, 0, q in increasing order.\nAnswer: -55, q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 72 = 4*w. Let b = w - -13. What is the third derivative of 18*g**3 + b*g**2 + 788*g - 788*g wrt g?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61.38*0.00806\nAnswer: 0.4947228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.327645 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*4\/256*(-4)\/(-12)*-2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37867?\nAnswer: 19, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 + -181. Let y(q) = -q**2 - 12*q - 2. What is the remainder when y(v) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*b = 115, b = -2*t + 29 + 16. Let h = 25 - t. Let o be 3\/(h*(-3)\/(-30)). Solve 0 = p - 3*w - o, 3*w + 45 = -4*p - 2*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78534839 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1468 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 20. What is the tens digit of 2 + 2*t*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300344140 (base 5) in base 8?\nAnswer: 4411047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttzzztztppt. Give prob of sequence tpt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -571a (base 15) in base 9?\nAnswer: -27307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 51444?\nAnswer: 51445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 8 = -6. Let f be (0\/(-9))\/(-1 - a). Is -8\/7 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3324657m?\nAnswer: 332465700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 - 3)*(3*p + 4*p - 3*p) + 2*p - 5*p - 4*p + (-p + p + p)*(-2 + 0 + 3))*(p - 4*p - 5*p).\nAnswer: 112*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/65 + 111\/455. Let f = -0.3 + 0.1. Let o = 103\/42 + -13\/6. Which is the nearest to f? (a) -2\/5 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 16*c - 78. Let i be a(15). Let t = -236 - i. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38907495, -77814992, -116722489, -155629986, -194537483?\n\"Answer: -38907497*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -7*k**4\/4 - 37*k**2\/2 + 3*k + 104. Differentiate a(t) with respect to t.\nAnswer: -21*t**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597\/12 - (-3)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5230 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24203.7 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Suppose 5 = y - 2*f, f = 5*y - 2*f - 18. What is the remainder when l is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314923941 to the power of 1\/3, to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*-2)\/(-4) - -12. Let z be s + -17 - (-11 + 0). Solve -2*y = -4*y - z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 796 or 797?\nAnswer: 796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.42325 != -816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*d**2 - 237 + 63*d**2 + 2*d**3 + 72*d**2 - 21*d + 20*d to the form l*d**2 + c*d + z + o*d**3 and give z.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 9. Let q(m) = -m**3 + 5*m**2 + 6. Let v be q(5). Let i = a + v. Solve -2*y - 2 - 4 = i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -746?\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 185800147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-10)\/4)*390*132\/7920?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*f = 231*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 1 + 1 = 37*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -366*v**2. Let o(r) = r. Calculate u(o(w)).\nAnswer: -366*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73\/(98112\/1596))\/(3\/12).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/1*16\/12. Calculate the greatest common divisor of g and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20517802, 41035607, 61553412, 82071217, 102589022?\n\"Answer: 20517805*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -713\/2 + 343. Let m = -591706\/45 - -13150. Find the common denominator of n and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (778 - 10*x - 778)*(0 + 4 + 8)*(-4 + 2 + 3) as c*x + k and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 14. Let p be s(10). Let c be ((-2)\/6)\/(p\/1452). Let y(x) = -x**3 - 2*x**2 + 2. Let r be y(-3). What is the highest common factor of c and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + c**2 + 2*c**3 + (0*c + 0*c - 2*c**3)*(0 + 1 - 2) + 4*c**3 + 2*c**3 - 4*c**3 + (-90*c**2 - 47*c + 49*c - 28*c**2)*(0 + 0 - c).\nAnswer: 124*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - 2*q - 60 = 0, 0 = -4*h + q + 114. Sort 5, h, 1.\nAnswer: 1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2939724, -5879454, -8819186, -11758920, -14698656?\nAnswer: -17638394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*c - 203 - 36 = 0, q - 43 = 2*c. Suppose d + 87 = 6*d + x, x = -3*d + q. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**2 - 3*m. Let s = -16 - -10. Let t = s + 7. Let d(c) = -c + 1. Let n(x) = t*k(x) - d(x). What is n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 24*z - 26. Determine s(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17256442 and 364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buwfrer. Give prob of sequence uw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 371 (base 10) to base 12\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3052.1308 - 3051. Round k to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 1. Let d = h - 1. Let o(l) = -l**3 + 4*l**2 + 6*l. What is the units digit of o(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -74*j. Let p(h) = 730*h**2. Determine i(p(k)).\nAnswer: -54020*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 1\/4*v**5 + 9*v + 0*v**4 + 0 + 1\/2*v**3 + 0*v**2. What is the second derivative of m(l) wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162067 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 2*t + 45. Let k be u(0). Calculate the remainder when (-50)\/(-6)*k\/25 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(((q*((q\/(q**(-2\/11)\/q))\/q)\/q)\/q)\/q)\/q)\/q*q**(-5\/4)*q\/(q*q**9)*q**(3\/2))**15 assuming q is positive.\nAnswer: q**(-6975\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 g when four letters picked without replacement from gcocggliooccggci.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*x + 855 = 847, 4*u = x + 11. Factor -32*v - 1\/2*v**3 - 8*v**u + 0.\nAnswer: -v*(v + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801510?\nAnswer: 2, 3, 5, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520295747 to the nearest integer?\nAnswer: 22810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*28\/(-42) - (-10)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -404963 + 692632. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 54. Find j, given that 2*j + 5*j**2 + 2*j**l - 5*j**2 + 0*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/90)\/(27\/(-108))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*i, 6 = 5*i - 2*i. Put -1, w, -2, -5 in descending order.\nAnswer: -1, -2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010001 (base 3) to base 8.\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 2:25 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5\/4 - 6*u**4 - 39*u**3\/4 - 9*u**2\/2.\nAnswer: -3*u**2*(u + 1)**2*(u + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 380452235 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 46\/361 (c) -0.1 (d) -4\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 47, -4568, -3 in descending order.\nAnswer: 47, 4, -3, -5, -4568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 11*o + 1. Determine q(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3+-170.1\nAnswer: -173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1338.5 + 1338. What is the second biggest value in f, -5, -4, -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 13*k**2 + k - 4. Let l be w(13). Suppose -l*d = -12*d + 12. Let t = -451.97 - -452. Put 0.1, t, d, 3 in descending order.\nAnswer: d, 3, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14391 and 3734289.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 41 = 5. Let r = 23 + s. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2)*(-12)\/(-8). Let h = -520 - -532. What is the remainder when h is divided by (-2 + o)*(-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73034 divided by -36517\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/112 and -49\/101072.\nAnswer: 707504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100110463 by 2.\nAnswer: 100110463\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2526565 + -3?\nAnswer: -2526601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n*n**(1\/9)*n*n\/n**(-1)*(n**(-3\/7)\/n)\/n)**(-3) assuming n is positive.\nAnswer: n**(-169\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (1 + sqrt(5103) - sqrt(5103)) + sqrt(5103) + ((3 + 2 + sqrt(7) + -3)*2)**2.\nAnswer: 48 + 43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/3 - 4*o\/3 = 0. What is o?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605415079 less than -3386?\nAnswer: -605418465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -2, -2\/5, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13*f + 765 = 33*f. Let b(r) = -r**2 + 20*r + 10. Give b(f).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9219 is divided by 159.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*261940\/(-551945)\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/6)\/22*(-1)\/2*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, 3515, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1770)\/(-12) + 4\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 - (-2 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 48*w + 1 - 1\/2*w**2. Does 16 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 25 = -13*i, 5*v = -3*i + 535. Let y = -207 - -482. Calculate the greatest common factor of y and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) -1.14 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -21*f**4\/4 - 5*f**2 - 18. Find the second derivative of p(t) wrt t.\nAnswer: -126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t - 8 = 0. Let o = -742\/5 + 149. Which is the third smallest value? (a) t (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45052959 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 13*w. Let n(r) = -r**2 - 2*r. Let h be (-624)\/40*5\/(-2). Determine h*n(x) + 6*j(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 10*c + 8. Let s be h(9). Let b(o) = -5*o**3 - o**2 - 2*o - 1. Let i be b(s). Let n(x) = x**2 - 4*x + 1. Determine n(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28584, -47112, -65640?\nAnswer: -84168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 - 10*g + 5. Let h(f) = -7*f**2 - 21*f + 9. Let j(b) = -2*h(b) + 5*o(b). What is the units digit of j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10032318 and 3.\nAnswer: 30096954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0119739284 times 2?\nAnswer: -0.0239478568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55584 and 2439520?\nAnswer: 21955680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 15*z + 19. What is the second smallest value in -4, 1, z, 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**7\/5040 + f**6\/720 + 7*f**4\/8 + f**3\/6 - 65*f**2 + 2*f. Let q(r) be the second derivative of l(r). Factor q(n).\nAnswer: n*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(36)\/(sqrt(2) + 2*sqrt(2)))\/(-4*sqrt(9)*-4))**2*5.\nAnswer: -5*sqrt(2)\/6 + 92165\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, 1 x, and 1 i when four letters picked without replacement from {o: 3, i: 4, k: 3, p: 6, x: 1, v: 2}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2812 - 8435\/3. Put -2, q, -11, 4 in ascending order.\nAnswer: -11, -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723823.6 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 303637 - -20?\nAnswer: 303657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 3*q + 2. Suppose -f - 4 = -0*f + 2*m, -8 = 3*f + 2*m. Let w be i(f). Calculate the greatest common divisor of 28 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 4*m + 230. Does 31 divide 16*(2 - m\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29580 rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(18\/(-21) - -1). Let w be 4\/a - (-5)\/(-35)*-16. Solve -2*v - 2*h + w = -v, -5*v = -2*h + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by -5313?\nAnswer: 86\/5313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 200, 313, 428, 545, 664, 785, 908?\n\"Answer: p**2 + 110*p + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 607000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 9*c**2 - 2*c + 4. Calculate h(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(-1 + (-7)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104 + 152 + i - 749 + i - 762 in the form v + q*i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + k)*(3*k**3 - 2*k**4 - 3*k**3) - 3*k**3 + 201580*k**5 - 2 + 9*k - 201578*k**5 - 57*k.\nAnswer: 6*k**5 - 3*k**3 - 48*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12775 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-800)\/336*(-322)\/345)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 7*r + 3*g - 176 = 0, -5*r = 2*g + 863. Is r < -173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(160\/24)\/4\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30479, -30477, -30475, -30473, -30471, -30469?\n\"Answer: 2*m - 30481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**17\/z**4)**(9\/8) assuming z is positive.\nAnswer: z**(117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1808*k = 3*x + 1813*k + 2 + 65, 88 = -7*x + 2*k for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let v be p(6). Let o = v - -8. Is (-80)\/(-1) - (4 - o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + (37 + 6 - 44)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0 (c) 3 (d) -2\/37 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3*0)\/(-1). Suppose s = 2*v - 6*v - 64. Let b be (v\/10)\/(8\/(-20)). Solve -3*g = -b*i + 1 - 24, 4*i + 19 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(2744) + (sqrt(2744) + (-6*sqrt(2744)*-1 + sqrt(2744) + sqrt(2744) - sqrt(2744)) - sqrt(2744)))\/(sqrt(40)\/sqrt(125) - -2*-2*sqrt(8)))**2.\nAnswer: 214375\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11077335959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/8)\/(((-2)\/12)\/(434\/217)).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtd when three letters picked without replacement from fjfjjxtfjfdjjf?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by (32\/(-6))\/((-1)\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 446.6792km?\nAnswer: 446679200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35597 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:36 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 436255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**2 - 1169*r + 13973. Calculate o(11).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 1\/11 (c) 7\/454 (d) 0 (e) 0.5 (f) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101011101000111011 (base 2) in base 4?\nAnswer: -2223220323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.594+-286276583\nAnswer: -286276584.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:33 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-4 + 6) - (2 - 0). Suppose -3*r + 1929 = -p*v, 7*r - 3214 = 2*r + 4*v. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68796793*g**2 - 11*g - 2753596.\nAnswer: 137593586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 15*n**2 - 22. Let r(z) = 13*z**2 - 21. Calculate 5*l(u) - 6*r(u).\nAnswer: -3*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 20*n**3 - 1727*n**2 - 16*n - 6099. Let d(c) = -c**3 + c**2 + c - 1. Let g(r) = -18*d(r) - p(r). Find the second derivative of g(t) wrt t.\nAnswer: -12*t + 3418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.76*4\nAnswer: -43.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 + 396352.4.\nAnswer: 396310.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -58*13\/(-10) + (-3)\/(-5). Let t = 128 - y. Let n = 143 - t. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15 + 4*m - m + 2*m - 6*m. Let d be y(-19). Sort 1, -3, 0, d.\nAnswer: -3, 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -174072524.3 to the nearest 1000.\nAnswer: -174073000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**15\/l*l*l*l**14*l*l**4\/(l\/l**(-12)) assuming l is positive.\nAnswer: l**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -89185 (b) -2\/11 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 r when four letters picked without replacement from rroorrorrrorrrrror?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/54 and 77\/3834.\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(156) - -2*sqrt(156)) + sqrt(156) + 2*sqrt(156)*-2)\/((sqrt(36)*3)\/sqrt(3)*-4).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amhalhhelllltha. What is prob of sequence hehh?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124874217 and 2106?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*q + 53*q - 2394 = 0. Let i(d) = -d**2 - 14*d + 27. Calculate i(q).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f**3. Give w(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:37 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 43*m**2 - 37*m - 31. Let x(n) = -19*n**2 + 19*n + 15. Let w(r) = -4*s(r) - 9*x(r). Let p be 3\/(-9) + (-100)\/6. Does 13 divide w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38013, -38012, -38011, -38010?\nAnswer: -38009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 16, v: 2}. Give prob of picking 1 v and 2 j.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/15 (b) 0.3 (c) 3 (d) -0.09 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1728.03 to zero decimal places.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*a + 0*a**2 - 9\/2*a**3 - 3\/2*a**4 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/2 and (-5 + 4 + 39)*(-1)\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 6*j + 11. Let g be m(7). Suppose -2*t = 2*r + 3*t - 3, -5*r - 2*t = -g. Is 6 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 160, 135, 116, 103?\n\"Answer: 3*i**2 - 34*i + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*d**2 - 6*d**3 - 17*d**2 + 3*d**3 + (0*d + 4*d - 2*d)*(-4896 + 4896 - 50*d)*(6*d - 3*d + 2*d).\nAnswer: -503*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*200\/(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21307.\nAnswer: 11, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -33. Suppose -2*v = -d*a - 42, 4*v - 2*a = 5*v - 12. Solve 5*u + 4*n + v = 2*u, -5*n - 9 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80))*6.\nAnswer: -6 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -19 + 1 + 2 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 14. Suppose b - 62 = -a. Suppose -b = -n - n. Solve 0 = 5*t - 3*v + 8, -3*v + 11 = t + n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33231 is divided by 496?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13448 is divided by 1918.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 21\/9)*(-90)\/1110?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 7*u**2 + 6*u - 4. Let b be p(-5). Calculate the greatest common factor of b and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 + 114*f + 477. Determine u(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 4*g - 71. Let m = g - -59. Let q = -8 - -13. Solve 2 = q*c + m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1064*l - 11756*l - 15351*l + 2247*l in the form m*l + g and give m.\nAnswer: -23796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**4 - 466611*v**3 - 18146850354*v**2 - 235672515780*v + 6131585645016 = 0.\nAnswer: -77762, -26, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/7 - 68622*f**2\/7 + 83887584*f + 24191228032\/7 = 0. Calculate f.\nAnswer: -41, 17176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:35 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.209 (c) -1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*m + 72, -d + 13*m - 18*m + 63 = 0. What is the remainder when 390 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 66607926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4939 - 143*s**3 - 4942 + 9881.\nAnswer: -143*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 17*l**2 - 5*l - 17. Let v = 25 + -14. Let p(a) = -34*a**2 - 8 + 2 - 2*a + 77*a**2 - 37*a**2. Calculate v*p(k) - 4*t(k).\nAnswer: -2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007692978 to seven decimal places.\nAnswer: 0.0007693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 932*d + 927*d = -13, 5*d = 3*x + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494*r + 38572 = 1222 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 - 1220*u**2\/3 - 12422*u\/3 + 13640\/3.\nAnswer: 2*(u - 620)*(u - 1)*(u + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 5*y**2 - 30 - 3*y**2 to x*y + h*y**2 + p and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -69*k**2 + 408*k + 27. Determine t(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**5 + z**4 + 7784*z**3 + 354427*z**2 wrt z?\nAnswer: 120*z**2 + 24*z + 46704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98708163?\nAnswer: 3, 1531, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - g**3 - g**3 + (g**2 - 3 + 3)*(4*g - 2*g - g) + 164*g**3 + 67*g**3 + 349*g**3.\nAnswer: 579*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4669 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -31. Suppose 2*p = -2*z + 4*z - 12, 4*z - 26 = 5*p. What is the units digit of i*((-4)\/(-2))\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13116 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/21)\/(2\/7). Suppose a*x = -3*x. Suppose 4*i - 7 - 9 = x. What is the remainder when 6 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8160\/(-18564) + (-4)\/(-14)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-8)\/(-48)). Find b such that j*b**4 + b**3 - b**2 - b**2 + 2*b - 3*b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31766*p**3 + p**2 - p - 3*p**2 + 31777*p**3 + (p - p + p**2)*(-4*p + 4*p - 3*p).\nAnswer: 8*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 11*p + 8 + (-5 + 6 - 2)*(2*p - 2*p + 2*p) + (p + p + 0*p)*(-1 - 5 - 3).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41739611 - 375225086\/9. Let q = o - 48054. Let d = q + 119. Sort 5, -3\/2, 0, d.\nAnswer: -3\/2, d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-1)\/2)\/((-1)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 6808050*a - 11587386200625.\nAnswer: -(a + 3404025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 - -4. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o - 1\/2*o**2 + 1\/3*o**3 + 158. Let w(n) = 3*n**3 - 6*n**2 + 4*n. Determine 4*m(p) + w(p).\nAnswer: 3*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15935173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1738234109.4849979 - 1738234332. Let t = -232.015007 - a. Let g = t + 9.5. Round g to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z + 1. Calculate the remainder when (36\/10)\/((-4)\/(-90)) is divided by n(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458619 (base 10) to base 2.\nAnswer: 1101111111101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5686.358 decades to centuries.\nAnswer: 568.6358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 2, t: 4, j: 1, h: 1, a: 3}. Give prob of sequence rrch.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 4, 144, -104, 5, -1.\nAnswer: -104, -1, 0, 4, 5, 6, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5218566 and 5728?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -79\/25 not equal to -8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -601816.38157964 take away 4?\nAnswer: -601820.38157964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 7abc?\nAnswer: -7ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 642194 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/225 - 11*x**4\/180 - 2*x**3\/15 - x**2 - 2*x. Factor d(h).\nAnswer: 2*(h - 6)*(2*h + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 29057 + 29084 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -28495?\nAnswer: -142475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 3 + 3)*(5 - 2 + 0)*(-7*s**2 + 4*s**2 + s**2)*(-2 + 4 - 3).\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6\/7*h - 20\/7*h**2 + 20\/7*h**4 + 0 + 8\/7*h**3 - 2*h**5 = 0?\nAnswer: -1, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**3 - g**3 + g**2)*(2 - 2*g - 2 - 1).\nAnswer: -4*g**4 + 4*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00620437937 to five dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 9*x + 1. Let v be t(-9). Let a(q) = q - 2 - q**2 + v - 4. Let j(b) = -2*b**2 + 2*b - 12. Give 12*a(w) - 5*j(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 31. Which is the third biggest value? (a) -2 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5\/3 + 16*h**4\/3 + 8*h**3 - 16*h**2\/3 - 20*h\/3 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 10. Let v = r + -3. Suppose -10 = -v*a + a. Calculate the greatest common divisor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263 - 450 + 2*q**3 + 230.\nAnswer: 2*q**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.169494 - -0.032004.\nAnswer: -0.13749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 5*n + 3566*n**2 - 3567*n**2 + 7*n - 2*n + n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/(-200)*(-4)\/3)\/((-112)\/120). What is the second biggest value in -2\/9, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33 + -44 + (-873)\/(-77) and 79\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 10, m: 3}. What is prob of sequence ym?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 22 - 20. Solve -l = 10*s - 8*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 35 = b - 387, 4*b + p = 1688. Let v = b - 410. Let q = 28 + -19. Calculate the lowest common multiple of q and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - n**4 - 2*n**4 + (-n + n - n**3)*(5 - 5 + 7*n) + (2 + 2 - 2)*(n**4 - n**4 + 3*n**4).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34729*c + 34726*c - 10 = -5*k, -c + 3*k - 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20 - 28\/(-70))*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(3\/30). Suppose 2*v - 8 = -2*g, -6*g + 19 = s*v - 2*g. Suppose -j = v*j. Solve j = m - 1 + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8699742 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 63. Let j(y) = 2 + y + h + 0*y**2 - 4 + 1 + y**2. Let i(q) = 3*q**2 - 3. Let d(v) = -v - 5. Let l be d(-4). Give l*i(m) + 2*j(m).\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 519308 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17499123457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iooo when four letters picked without replacement from iiiiiiooioiioo.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 4. Suppose -2*w + 10 = -30. Let a(l) = 0*l**2 - w + 4 + 13*l - l**2. Let z be a(11). Calculate p(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9045846 + 5?\nAnswer: -9045841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -91, -78, -49, 2, 81?\n\"Answer: y**3 + 2*y**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.643857 and 0.1.\nAnswer: 0.1643857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 44*i - 35*i + 16. Suppose -3*p + 45 = -3*a, 4*p + 3*a - 55 = 2*p. What is the remainder when p is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.7, -0.26, 2, -3 in descending order.\nAnswer: 2, -0.26, -2.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200120011102 (base 3) in base 2?\nAnswer: 11011010111100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/5350950 and -43\/290.\nAnswer: 155177550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152)*-1 + sqrt(152))\/(2*sqrt(32)\/sqrt(4)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142.548 - 146.8. Let p = -0.252 - c. Let g = -0.4 - -0.4. What is the closest to g in p, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14729?\nAnswer: 11, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 - 3*g**2 + 13*g**2 - 5*g**2 - 2 - g. Suppose -2*z + 1 = 3, -3*l + 2 = 4*z. Let r be n(l). Is 4 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10241.4 + 10243. Which is the fourth smallest value? (a) 3 (b) 2\/3 (c) 1\/2 (d) l (e) 12\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 18. Calculate z(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neg when three letters picked without replacement from geggeenegggge?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-21))\/(9\/(-783)) + -5\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) - (-16)\/7. Let v(s) = 10*s + 1 - 3*s**2 + 4*s**f - 5*s - 2*s**2. Calculate v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - a**2 - 7*a - 17. Let j be q(-3). Solve 2*l + 3 = -3*h + j, 3*h - 9 = 3*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*l = 0, r - 2*l = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -72187*x + 144318. What is m(2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(363) - (sqrt(3) + 3 + 2).\nAnswer: -7 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/((-6)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/(-9))\/(-7))\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**5 - 981*g**4*k**2 + 118*g*k**2 + 34*g wrt g?\nAnswer: 60*g**3 - 11772*g**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -164, -655, -1474, -2621, -4096, -5899, -8030?\n\"Answer: -164*v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 2. Let x be l(4). Suppose -132*o**x + 42*o**2 - 3*o**3 + 8*o**3 = 0. Calculate o.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (13 - (6 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 0.59 (c) -9 (d) -1\/4 (e) -2 (f) -4\/11 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 - 51*n + 103. Let b be j(10). Let v(l) = -7*l + l**3 + 4*l**2 - 12*l**2 - 2*l**3 + 0*l**2 - 1. Determine v(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 - -10)\/((-49)\/35 - (-2)\/5). Put 2, q, 5, -157 in descending order.\nAnswer: 5, q, 2, -157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 500*t**2 - 727*t**2 - 268*t**2 - 908*t**2 to the form p + w*t + a*t**2 and give a.\nAnswer: -1403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42.6372 - -0.1232. What is w rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y - 14. Let f(n) = 2*n + 5. Let w(i) = 10*f(i) + 3*l(i). Let z be w(-2). Suppose z*q - 6 = 22. Solve 2*b = 5*t + q*b - 25, -2*b - 20 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -28731655525.\nAnswer: 28731655519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 2 + 2)*((4 + 0 - 2)*(-7*j + 8 - 74*j - 6) - 4*j + 24 - 24) to m + w*j**2 + k*j and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1654697.1 months to centuries.\nAnswer: 1378.91425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 13923?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/227, 3\/2, 4 in descending order.\nAnswer: 4, 3\/2, 2\/227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*t + 601 - 601)*(0*t + 0*t + t)*(3*t - 6*t - 2*t) in the form l*t**3 + h*t + c*t**2 + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110101101 + -1111101?\nAnswer: 1001100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 304529 divided by 10501\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11881 is divided by 4342.\nAnswer: 3197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -15, -12, -7, 0, 9?\n\"Answer: h**2 - 2*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 402700 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 2*o**2 + o + 7. Let k = 5906 - 5903. What is l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, 2, 1\/6, 2\/7, -6773?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u*u\/(u\/u**(-1)))*u)**3\/((u**(2\/5)\/u)\/(u\/u**(-1)))*(u**6*u*u**4*u)**(1\/38) assuming u is positive.\nAnswer: u**(847\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*h = 85*h - 76 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20286 times -49\nAnswer: 994014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70495 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*i - 6 = 0, 0*i = i. Let o(k) = -k - 1. Let h be o(s). Let q(d) = -3*d**2 + 2*d + 2. What is q(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -28. Suppose 5*i - 36 = -j*m, -2*m + 3*i - 6 = -2. Let a(c) = c**2 - 6*c + 5. Let q be a(6). Solve q*p = 5*r + 2*p + 7, -4*p = -m*r - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(150) - sqrt(6) - sqrt(6)) - (sqrt(500) - (sqrt(500) + sqrt(500)*2)**2) - (sqrt(320) - (sqrt(605) + 1*sqrt(605))**2).\nAnswer: -53*sqrt(5)\/3 + 6920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 6, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, u: 2, h: 6}. Give prob of picking 1 u and 1 h.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 46*o**3 + 1450*o**2 + 33750*o.\nAnswer: -2*o*(o - 27)*(o + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -382364?\nAnswer: 382358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 22. Suppose -k = r*f + 9, 4*k - 2*f - 3 = 3. Suppose k = -4*i + 2*s + 58, 2*i + i - 3*s = 48. What is the greatest common factor of 65 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + 40 - (2 - -1)) + 0 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2625, -2765, -3001, -3333, -3761?\n\"Answer: -48*j**2 + 4*j - 2581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2749317965 to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-146)\/730)\/(1\/6*(-15)\/(-10)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 2. Let q = -380\/9 - -42. Which is the smallest value? (a) q (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*p + 19 - 2 = 0, 35 = 5*b + 4*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -23 + (7 - -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*n + 534, -b - 538 = 6*n - 9*n. Suppose 4*u - 396 = p, -2*u = -12*p + 7*p - n. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/50757?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/84)\/(((-2)\/7)\/((-1168)\/219)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 12) + 10 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 37 = 13. Suppose 0 = 2*j - 5*y - 41, 4*j - 10*y + 15*y = 7. What is the least common multiple of 1*(34 - -6)\/j and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -433.9999513 - -434. What is h rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (9 - (-13 - -121 - 16))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 91 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1)*0\/(-1). Suppose -10 = p - 6*p. Find the second derivative of -p*a - 2*a + 0*a + h*a - a**3 wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -115*n**3\/2 - 29*n**2 + 2*n - 26. Is y(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 662938 and 3488.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5789933 is divided by 723734?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 361.67 - 360. Let u = 1.8 - b. Let h = 0.58 + u. Round h to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - ((-5)\/9*15 + 4). What is the third biggest value in 0.5, r, 10.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.08 - -0.42. Let s = -5.5 + d. What is the third smallest value in -2, -0.01, s, 5\/6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 11*r - 15. Let x be n(7). Let k be x\/21 - 545\/70. Let s = k - -169\/22. Which is the second smallest value? (a) 0.2 (b) s (c) -5\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, 96, 142, 188, 234?\n\"Answer: 46*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3723, 1.1, -2\/7, -2, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16037.8 - -16037. What is the fifth biggest value in -1, -5, n, -4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751232.\nAnswer: 2, 3, 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.129 - -0.129. Let q = -115.11 + 170.11. Let t = g + q. Which is the closest to 0.1? (a) t (b) -33 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y + 39*y = 14. Let j(m) = -4*m**3 + 5*m**3 + 9*m**2 + y*m**2 - 21*m + 0*m**3 - 18. Is 14 a factor of j(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**2 + 3*c + 2. Let g(b) = 7*b**2 + 4*b + 3. Let x(j) = 3*g(j) - 4*k(j). Suppose -4*r = -0 - 8. Give x(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 - 4*l + 5. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 640?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*g - 3. Suppose 0 = -g*w - 8, -2*x + 5*w + 19 = x. Suppose 20 = x*c - 10. What is the greatest common factor of 30 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/101038617 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2618*o = 59509 + 55683 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45277 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: Two letters picked without replacement from {t: 2, z: 3, d: 2, k: 1, c: 1, m: 3}. What is prob of sequence zz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -15*r**2 + 15. Let m(i) = -7*i**2 + 7. Let p be 12\/2 - (4 + -2). Suppose 0*u - 36 = p*u. Let g(q) = u*m(q) + 4*n(q). Factor g(x).\nAnswer: 3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -704.\nAnswer: -1\/704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -916127*l**3 + 147916*l?\nAnswer: -5496762*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31018? (a) -3\/7 (b) -150 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x - 6 = -3*u + 29*x, x - 10 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 765781 + -765786. Suppose -6*v + v + 126 = 3*t, 5*v - t - 138 = 0. Sort v, -1\/6, f.\nAnswer: f, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 + 9*l - 11. Let z be n(8). Suppose -5*g - g + 24 = 0. Suppose -z = -3*s - 0*q + q, 0 = g*q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201250203 (base 6) to base 10\nAnswer: -3427995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from kmikikilzkmiitk.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151031081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 + -0.31. Let f = l - 1.21. Let h = -3 + 5. Sort f, h, -4 in decreasing order.\nAnswer: h, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 2*x - 2*x. Let a(c) = 6*c - 1 - c - 5*c + 6*c. Let d be a(1). Calculate i(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -356 or -358?\nAnswer: -358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 3.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17428270*q**2 + 3010*q + 2235.\nAnswer: 34856540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -18998 in decreasing order.\nAnswer: -1, -7, -18998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 - 29 = -3*n, 0 = -r + 1. Calculate the remainder when 52 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 32. Let n = 23.55 + y. What is n rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*w**2 - 29*w**2 + 3*w**2 in the form y + u*w + h*w**2 and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -89. Suppose -5*b + 151 = 3*l + 7, -3*b + 98 = -n*l. What is the remainder when 1*-1 - (-86)\/1 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.0481 - -0.1359. Let w = -5.3 + s. Let c = 0.016 + w. What is the smallest value in 2, -0.3, c, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.5 + 0.5. Let j = 1525.8065 + -1541.8. Let v = d - j. Round v to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**29)**(-1\/2) assuming o is positive.\nAnswer: o**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 33, 87, 181, 327, 537?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - -136. List the prime factors of x.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*h + 4472 - 44 = -22*h - 7*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -10 + -5 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3673651?\nAnswer: 3673651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10418510?\nAnswer: 2, 5, 41, 25411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j**3 - 4*j**2 - 5*j**3 - 3*j**4 + 21*j**3 + 2 to y*j**2 + n*j**3 + u*j**4 + k + r*j and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 + 43 + 33 - 7*p - 24*p)*(4 - 2 + 0) to r*p + x and give x.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b3 (base 12) to base 10\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, d: 1, s: 5, k: 1}. Give prob of picking 1 d and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 304596952 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66100, 66664, 67228, 67792, 68356?\nAnswer: 68920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/32*12\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.02, 0.2, 1\/6, -1\/3, 59, -143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/12)\/4 + (-7)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -4\/7, 0.44, 4\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c + 82 - 33 = -511 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -32, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 154*k + 1716. What is m(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from ssskskssskskk?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**6\/300 + t**5\/75 + t**4\/60 + 3*t**2. Find n, given that v(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -370 + 665. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 40 = 2*f. Let i(q) = -7*q - 4. Let d be i(f). Let h = d + 6. Calculate the remainder when h is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 29*m. Let s(d) = -5*d**2 + d - 7. Let u(q) = 3*q**2 - 2*q + 4. Let x(n) = -4*s(n) - 7*u(n). Determine 11*x(g) + 4*z(g).\nAnswer: g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66119, -74431, -82743, -91055, -99367, -107679?\n\"Answer: -8312*o - 57807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39 + 0.0077.\nAnswer: 0.3977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*h + 654*h - 18438 = 21079 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f + 73*f = -2405 + 117 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 17*w**3 + 9*w**2 + 3*w - 41. Let z(o) = -9*o**3 - 5*o**2 - o + 23. Give 6*y(i) + 11*z(i).\nAnswer: 3*i**3 - i**2 + 7*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a0d16 (base 15) to base 9\nAnswer: -855433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -14. Solve -13*c = -r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 80 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4005.12 - -4150. Let r = u + -146. Let x = r + 2.12. What is the nearest to x in 3, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 3213676*l - 16068480.\nAnswer: 4*(l - 5)*(l + 803424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*1059695\nAnswer: 5298475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 79 + 269 = 0. Suppose 8*w - 2*w = 30. Let u(p) = 2*p**3 - 4*p**2 - 7*p - 2. Calculate the remainder when u(w) is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(3*sqrt(12)*-2).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.8 + -191.4. Let q = x - -191. Round q to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8071803?\nAnswer: 3, 896867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17562 is divided by 2834?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:55 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/13 + 95466*q**3\/13 - 3152694*q**2\/13 - 6591778*q\/13 - 3343620\/13 = 0. Calculate q.\nAnswer: -47766, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 3\/20*h**5 + 1\/2*h**2 - 1\/6*h**4 - 2*h + 0*h**3 + 0. What is the units digit of o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1161213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110511 is divided by 342?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -3\/4*s**4 + 26*s + 0 + 9\/10*s**5 - 4\/25*s**6 + 9\/10*s**2 - s**3. Solve u(i) = 0.\nAnswer: -1\/2, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344520 (base 7) in base 15?\nAnswer: -13406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2103230014 (base 5) to base 2.\nAnswer: 10000100110011110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 0*v**2 + 13 + 0*v + 1\/3*v**3. Determine y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3317 = -g, 0 = m - 0*g + 3*g - 826. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -7, -2\/7, -3\/7, 0.2, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 86\/(-18) + 36\/(-162). Let y(u) = -6*u - 28. Let k be y(x). What is the third derivative of 4*o**6 + 34*o**6 - 42*o**2 + 6*o**k wrt o?\nAnswer: 4560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 2\/5, 3, 2, 4, -84, -5\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from eeppeepeepppepepepe?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1068 - -1064. Which is the biggest value? (a) 0.161 (b) -6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1993, -1954, -1877, -1744, -1537, -1238?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 7 - 8*v**2 - 1\/3*v**3 - 3*v. What is the least common multiple of s(-15) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78.9 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-2))\/(1*-19))\/(1662\/3324)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -37. What is the nearest to 0 in -4\/5, x, 3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*v = -457, 13*v - 3 = 16*v. Let d = j - 106. Sort 5, 3, d in descending order.\nAnswer: 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13560948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(5*sqrt(16)))\/(sqrt(40)\/(sqrt(40)\/sqrt(5)*2))*2.\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 12834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 8*p**2 - 23. Let u be s(-7). What is the highest common divisor of u and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-7)\/c)\/c*c*c)\/c)\/c**(4\/9)*(c**(1\/2))**(2\/11) assuming c is positive.\nAnswer: c**(-827\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -158 + 156.91. Let z = o - -1.09000228. Round z to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 32. Let b = -78650882\/47 - -1673315. Let q = b - -108. Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 8*y**2 - 9*y. What is the units digit of z(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/(1\/18). Suppose -3*m + 5*r + 17 = 0, -a*m + m + r = -21. Is 3\/1 - (-28)\/m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/192 and -133\/30.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-15) - (3 + 64\/(-20)). Let h(t) be the first derivative of 28\/3*t**3 - 2*t**4 - 3*t**2 - 24\/5*t**5 - 4*t + p*t**6 - 5. Factor h(y).\nAnswer: 2*(y - 1)**3*(y + 1)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/15 - 13*t**4\/8 + 5*t**3\/6 - 2*t**2 - 151*t + 1. Let x(w) = 2*w**2 - 20*w + 2. Give 2*u(c) - 5*x(c).\nAnswer: -2*c**2 + 22*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 463365?\nAnswer: 2780190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eepe when four letters picked without replacement from eeeybbeppbbepbbbe.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 2:22 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/63 + 2\/(-14)*2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -1, 3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3003 and 2144233?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p - 10. Give a(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226515.9963 - -226472. Let g = 44 + s. Round g to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 26. Let s be h(0). Let w = s + -25. Solve w = -4*d - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258389?\nAnswer: 258389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2930)\/(-1172))\/((-1)\/20)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -425 - -227. Let v = 25 - n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102228371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -65044?\nAnswer: 65030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d7 - 97?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:09 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)\/i*i**(-4))\/(i\/(i**(-2\/5)*i))**(-44) assuming i is positive.\nAnswer: i**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 51 - 98 + 1002*j.\nAnswer: 1002*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1800 and 1764.\nAnswer: 88200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, -11, 1, 5.\nAnswer: -16, -11, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3588 + 57431\/16. What is the common denominator of y and -35\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 37. What is the second biggest value in -6, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - w = -7547, 23*n - 25*n + 3791 = -3*w. Calculate the highest common divisor of 704 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -w - 1, 3*w = 2*w + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 1. Let x(s) = 5*s - 3. Let i be 4 + -2 + (-9)\/(-3). Suppose f = i*f - 12. Calculate f*q(t) - x(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 19.5. Which is the closest to 1\/3? (a) -0.3 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2104 take away 8?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -20530?\nAnswer: 20529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*b - 17 - 3, 3*j - 16 = -b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4\/4 + 605*w**3\/4 - 615*w**2\/4 - 605*w\/4 + 305\/2 = 0.\nAnswer: -122, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, 6919, 7.\nAnswer: 7, 171, 6919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -b - n, b = n - 3*n - 88. Let h = 184 + b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71174 is divided by 71091?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 158. Give u(14).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3792 is divided by 262?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343 - -30?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 4. Let o be k(-1). Let n = -6 + o. Let i = 23 + n. What is the greatest common factor of 96 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 892591 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 119285769*w + 357857334 = 0.\nAnswer: -39761926, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 85933, 85997, 86071, 86161, 86273?\n\"Answer: a**3 - a**2 + 60*a + 85873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3983838773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -149, 5 in descending order.\nAnswer: 5, 4, -4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + i**2 + i. Let m(a) = -a**3 + a**2 - 4*a + 3. Let o(b) = -m(b) - 2*w(b). Let p be o(-4). Which is smaller: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57\/130 - -3167\/6630. Let n = 4 + -7. Let i be 1\/4 - (-6)\/(-16). Which is the third biggest value? (a) i (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*x - 560 = 15*x. Solve 14*y = 16*y + f + 1, -x = 3*y + 5*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238521959 + t - 119260987 - 119260972.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 438, 1763, 3970, 7059, 11030, 15883, 21618?\n\"Answer: 441*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3 + 31 = 2*w, 0 = 4*c - w - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:41 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 12*n**2 - 11*n - 4. Let m = -77 - -90. Let w be l(m). Calculate the highest common factor of 33 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1063.489 + 1064. Let k = 0.911 - f. What is the smallest value in -2\/13, -1, k, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795231939.\nAnswer: 3, 29, 315193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from szszazgssszsszss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -81 + 77 + 0*f + f. Let k be i(7). Suppose -k*b + 1 = -5. Solve -6*o + b*o - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 - 6*a**2 - 60*a**3 + 36*a**3 - 11*a**2.\nAnswer: -24*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 368480 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 195.7635 micrograms?\nAnswer: 0.0000001957635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqjqqjqq. Give prob of sequence jqjq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8234.\nAnswer: 2, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t)**(11\/6)\/(t**2)**(14\/11))**(2\/43) assuming t is positive.\nAnswer: t**(-56\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 less than or equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(200)*-6 - sqrt(200))\/sqrt(8))\/(sqrt(10)\/(sqrt(2) + 3*3*sqrt(2))).\nAnswer: 220*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494027 is divided by 1669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:30 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - -25.4. Let x = -49 + t. Let u = x + 6. Which is the second biggest value? (a) 4 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(3))**2 - (-3 + sqrt(15)\/sqrt(5))**2.\nAnswer: 27 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o + 7*o + 12*o + 0*o + o - 2*o + (-3 + 3 + 2)*(4 - 4 - 2*o) - o - 4*o + 4*o - 3 + 3 + 2*o + 4*o - 14*o + 7*o to the form r*o + y and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*u**3 + 0 + (-u + 3*u - u)*(9*u + 13*u**2 - 9*u) + (3 - 3 - 2*u**2)*(2*u + 2*u - 3*u) to the form a*u**2 + b*u + n + r*u**3 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 0)\/(((-384)\/28)\/3). Let w = 1\/16 - o. Which is the nearest to 2? (a) w (b) -0.1 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2349, 2351, 2353, 2355, 2357, 2359?\n\"Answer: 2*q + 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - 19. Put 4, -3, v in descending order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6615 and 289260?\nAnswer: 42521220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5892\/25 + -314977\/1400. Let v be -2*((-195)\/(-48) + 1). Let r = z + v. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3255, 13098, 29511, 52500, 82071?\nAnswer: 118230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447231 is divided by 187.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*v = -37, 1107*j - 1104*j + v + 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 27*w**2 + 16*w + 32. What is the thousands digit of f(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.434038mm to nanometers.\nAnswer: 9434038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43906870 is divided by 487854?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 1, j: 3, x: 3, a: 4, b: 4}. What is prob of picking 1 a, 1 k, and 1 y?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (-5 + sqrt(1700) + 0))**2*6 + -5 + (0 + sqrt(1700))**2 + -3.\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 332, 0.087, -3, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -9*o + 206 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*x + 344 = 0, -8*d - 4*x + 464 = -4*d. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 139. What is the units digit of w(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*((sqrt(1008) - (sqrt(1008) + (sqrt(1008)*3 - sqrt(1008)) + 4) - sqrt(1008)) + 3 + sqrt(1008) + 3)*2 + 4)**2.\nAnswer: -11040*sqrt(7) + 403729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-124)\/(-1))\/(27\/((-1863)\/(-276)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 96 - 174 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*u**3 + 4*u - 4*u + (0 - u**2 + 0)*(0*u - u + 2*u) + (-u**3 - 3*u**3 + 6*u**3)*(-1 - 4 + 1) - 4*u**3 + 0*u**3 + 3*u**3.\nAnswer: -15*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3776304?\nAnswer: 2, 3, 7, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3376*n**2 - 1692*n**2 - 1686*n**2. Let w(j) = -22*j**2 + 2. Let h(a) = -836*a**2 + 77. Let f(g) = -4*h(g) + 154*w(g). What is d(f(z))?\nAnswer: -3872*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287\/4 + 71. Which is the third smallest value? (a) 5 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 - 10. Is 7 a factor of t\/(-12) - 2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-110)\/(-10)))\/(16\/28).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/60*2\/((-4)\/1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let c be 7*(2 - (-16)\/(-7)). Calculate v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-81) + (-11)\/(-9). Let r be ((-36)\/(-63))\/(2\/7). Solve -v = -r*f + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 1001*b**3 - 12181501 + 12181501 + 3*b**2 - 5219*b**3.\nAnswer: -4218*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(576)*-3 + sqrt(576) + sqrt(576) + (sqrt(576) + 1*sqrt(576) + sqrt(576))*-2)\/((sqrt(24)*-5)\/(-1*sqrt(6)\/sqrt(2))).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = -4*g. Suppose 2*n = g, 4*n = 3*r - 0*r - 277. Let y = r - 90. Solve 0 = 4*l + 5*o + 6, l = y*l - 3*o - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1254 = 59*v - 1785. Is 8 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 39. Let g be (l\/6)\/7*36. Suppose c + 7*c = g. Solve w - 6 = 5*s - 0*w, 2*w + 2 = c*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.9 - 13.9. Put 20, q, -3 in increasing order.\nAnswer: -3, q, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.96 + -0.04. Let v = 2 + x. Let w = -45 + 44.92. Is v equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 57.5, -0.02, 2, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.176 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12586*a - 594 = 12532*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 - 3 = 0. Let g = -6 + w. Let h be 2 + 0\/g - 2. Put 6, -4, h in decreasing order.\nAnswer: 6, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**3*z - 8*m**3 + 157514*m*z - 19365298*z wrt m?\nAnswer: -3*m**2*z - 24*m**2 + 157514*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14328296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33411113 + 34?\nAnswer: -33411024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 19. Let n(o) = o**3 - 3*o**2 + o + 4. Let u be n(h). Solve -3*f = u*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 20962*r**4 + 2*r**3 - 21043*r**4 - 2*r - 1 - 2*r**2 as u*r**4 + g*r + j*r**3 + s + c*r**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00521753 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6304656 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*h**3 + 4*h**2 - 1 - 1 + 0*h**2 in the form v*h**2 + s*h + m + l*h**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/(-1*sqrt(6)) + 4 + sqrt(153)\/sqrt(9))*-1)**2*5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2 + 50*p + 20. Let q be g(-8). Suppose -m - q*m - w + 74885 = 0, -w = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -w + 10. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532649773.\nAnswer: 532649773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Suppose 0 = -2*w + 4*w + 2*k - 8, 0 = -2*k + 4. Let u(j) = -17*j**2 - 20*j**2 + 38*j**w. Calculate u(n(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**3 + 3*k**2 - 46. Let s(m) = -11*m**3 - 5*m**2 + 91. Let a(t) = 5*g(t) + 3*s(t). Differentiate a(p) wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269 + 268. Let h be -1 - ((-5)\/5 + n). Solve -2 = -3*d + h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 5)*(2*x - 3*x + 3*x + (4 - 2 - 4)*(-2*x - 2 + 2) - x + 2 - 2 + 1 - 2*x - 1 + (-1 - 2*x + 1)*(0 - 4 - 2)) as r + u*x and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 0*v**4 - 1 + 3 + (-8 - 194*v - 194*v + 396*v)*(v**3 + v**3 + 3*v**3).\nAnswer: 38*v**4 - 40*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0686 (b) 0.3 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170604*a - 18*a**3 - 170604*a.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34367*s - 68722*s + 34359*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31885, -63811, -95777, -127783, -159829?\nAnswer: -191915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t**2 + 3*t - 2. Let c be d(1). Let m be (0 + 0)\/(c\/(-5)). Solve m = -2*h + 4*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 10*t**3 - t + 11*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/6 + a**3\/6 - 5*a**2\/2 - 7*a. Let g be c(4). Let f = g + -23. Calculate the lowest common multiple of 3 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36590.\nAnswer: 2, 5, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1, 137, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3438.8 > -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 9\/15*(-713)\/69?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-4 + sqrt(171) + 0 + sqrt(171) + sqrt(171) - sqrt(171) - sqrt(171)) + sqrt(171) + 1)*2)**2.\nAnswer: -144*sqrt(19) + 2776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171255 (base 9) to base 2.\nAnswer: -11001110110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1 - -2)*-108. Suppose 33288 = -517*m + 7394 - 30459. Does j = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*-0.2402053.\nAnswer: 11.5298544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 44*m = 41*m + 26, -18 = 5*j + m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -47 (b) 30 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 0)*(-2 - 1 + 1)*(0*n - 2*n + n).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1571, 6277, 14119, 25097, 39211, 56461?\nAnswer: 76847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13142538 rounded to the nearest 10000?\nAnswer: 13140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most -14336.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o**3 + 51 - 19*o - 50 + 3*o to y*o**2 + a + i*o**3 + p*o and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.02, -16, -4.\nAnswer: -16, -4, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, x: 17}. Give prob of sequence qxq.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2917308 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -269981?\nAnswer: 11\/269981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 499087956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/5*270\/108*(-2)\/40.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 11:28 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x - 21 + 19*x**2 + 1 + 5 wrt x.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-28)*-1)\/(2\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7849870?\nAnswer: 2, 5, 7, 127, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-10 - -6) + 0 + -2 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + 10232233101?\nAnswer: 10232233201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -3, 2, 3, 1 in decreasing order.\nAnswer: 50, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/51 and (81\/48 + -2)*104\/(-12).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4080 and 12870?\nAnswer: 1750320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48717 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14*d**2 - 1656*d - 902. Give z(119).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.191635l to millilitres.\nAnswer: 6191.635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 13 - 4 = 0. Let v be 22\/(s + 3 + -2). Which is smaller: v or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 12:43 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-20))**32 assuming u is positive.\nAnswer: u**(-640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -202*q - 72. Suppose 4*t + 3*b = -27, 12*b = -2*t + 7*b - 17. Does 38 divide n(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55993, -111985, -167977, -223969, -279961?\nAnswer: -335953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 325\/3 - 107. Factor -2\/3*q**2 + 0 + y*q.\nAnswer: -2*q*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 644850000 to the nearest 1000000.\nAnswer: 645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(-2 + (sqrt(108) + -2*sqrt(108) - sqrt(108)))**2.\nAnswer: -1312 - 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32020200 + -2?\nAnswer: -32020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + 0 + 2 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/7 (b) 1\/19 (c) -1 (d) 2\/49 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/3 - 48508*v**2\/3 - 621229141*v\/3 - 262725330426 = 0. Calculate v.\nAnswer: -23543, -1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 273*z**4 + 1357*z**3 + 779*z**2 - 2481*z + 72.\nAnswer: (z - 1)*(z + 3)**2*(273*z - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -178*g**6\/15 - 34*g**3 - 54*g + 2. Find the second derivative of u(f) wrt f.\nAnswer: -4272*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(468) + (sqrt(104)\/(sqrt(8)*-2))**2 + sqrt(130)\/((sqrt(90)*-3)\/sqrt(9))*6.\nAnswer: -14*sqrt(13) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -14. Is k at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 + (12584 - 12579) + (6 - (1 + 0))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -0.1, 0, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -340776 divided by -340776\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - 3f7?\nAnswer: -3e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 6*d + 3. Let q be b(-6). Find the third derivative of 3*a**2 + q*a**2 + 2*a**3 - 5*a**2 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -422520 divided by 503\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -716, -3, 672.\nAnswer: -716, -3, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*m**2 - 1546*m**5 - 9*m**2 + 1561*m**5 + 9*m**2 wrt m?\nAnswer: 900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 36. Let d(s) = -643. Let j(q) = 484. Let p(z) = -3*d(z) - 4*j(z). Calculate 2*l(f) - 11*p(f).\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 - 94803087*h\/7 - 27086598.\nAnswer: 3*(h - 31601031)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + -31. Let t = 47 + n. Let g(z) = -z - 2*z + 6*z + 3. Determine g(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 r when three letters picked without replacement from {o: 2, a: 2, x: 1, r: 2, y: 1, k: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 32*n - 118. What is v(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 2*s**4 + 3*s**4 - 2*s**2 + 2 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 2\/7 (c) 12 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p - 1. Let y be 20\/(-35) - (-24)\/(-7). Is i(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 7:55 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 299 + (-11)\/22*6. Which is smaller: i or 298?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 16.6. Let u = -16.0000029 + r. Round u to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/5)\/(-3) + -1. Which is the second biggest value? (a) v (b) -1\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63277 less than 0.1?\nAnswer: -63276.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-66 + 40 + 6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2117634 + 50846065\/24. Let o = s + -3815\/4. What is the common denominator of o and 31\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*t - t. Suppose 5*f + 2*o - 18 + 3 = 0, 0 = -2*f - 2*o + t. Let n be (-3 - -5)\/(2\/f). Solve -8 = n*b + b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -569\/7 + 81. Is g bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77371, -111781, -146191?\nAnswer: -180601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8577631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.68*76127\nAnswer: -51766.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 593243?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v**2 + 23*v + 19. Let u(l) = 3*l**2 + 6*l + 5. Let i(y) = 2*q(y) - 9*u(y). Suppose -3*z = 15 - 0. Determine i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/10)\/r)**(-4\/15)*(r**(1\/3)\/r)**38 assuming r is positive.\nAnswer: r**(-1882\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*j - 6, 2*t - j + 0*j - 4 = 0. Suppose -2*o + 11 = -7. Solve -5*m + o = -t*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p + 5 + 4 - 1 - 12 + 5.\nAnswer: -23*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*d + 428, -9*d = -11*d. List the prime factors of k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051471 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5802 is divided by 1933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 + 1700*a**4 - 146190*a**3 + 287300*a**2 - 142805*a = 0. What is a?\nAnswer: 0, 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 241637*s\/2 - 966564.\nAnswer: (s - 483282)*(s + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 2*w)*(3*w**4 - 3*w**4 + w**4) + 2715*w**5 + 444*w**5 - 491*w**5 + 677*w**5.\nAnswer: 3347*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 - 3*n - 14. Let q(d) = -2*d**2 + d + 5. Let k be (32\/6)\/(40\/60). Determine k*q(w) + 3*m(w).\nAnswer: 2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770781.25 rounded to the nearest one thousand?\nAnswer: -1771000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181958?\nAnswer: 2, 7, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -202*n - 5. Let l(p) = -402*p - 12. Determine 2*l(i) - 5*t(i).\nAnswer: 206*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (5998*-3)\/((-50368)\/(-36)). Let c = 11\/787 + g. What is the common denominator of 4\/(-18) - 1498\/144 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3. Let v(z) = z**2 - z + 2. Let n be v(0). Let o = n - y. Solve 3*x - 3*g = x + 14, 0 = -2*x + o*g + 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -3, 1, -6, 12, -595, 5.\nAnswer: -595, -64, -6, -3, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -9, -5, -93, 2 in increasing order.\nAnswer: -93, -9, -5, 2, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132021341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10.6+7\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 21*k. Let p(g) = 415*g - 3. Calculate p(o(r)).\nAnswer: -415*r**2 - 8715*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*t = -10, 0*u + 15 = 2*u - 3*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26101*h**3*w**2 - 3*h**3*w - 66*h**2*w + 88 wrt w.\nAnswer: 52202*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 269934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210.0000265 + 210. Round n to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005815246 a multiple of 4749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6440\/23184*189\/140\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 5*y**2 + 3*y - 10. Let l be k(4). Suppose -l*x - 1 - 17 = 0. Let d = -21715\/29393 - -3\/1547. Is x greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**4 - 722*z**3 - 97*z**2 + 851428 wrt z?\nAnswer: 8*z**3 - 2166*z**2 - 194*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 16*j - 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 892970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) -4 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -44, -59, -70?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254242?\nAnswer: 2, 23, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 379, 1259, 2969, 5785, 9983, 15839?\nAnswer: 23629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (-5*-2*sqrt(891) - sqrt(891))) + 4)**2 - (1*sqrt(704) + sqrt(11) + (4*sqrt(99))**2).\nAnswer: -585*sqrt(11) + 55456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21956*l - 1315. Is c(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + 13*i**2 + 8*i + 1. Let l = 35 - 41. Let n be x(l). Let b(z) = -7*z + 6. List the prime factors of b(n).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -43. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1529 - 3?\nAnswer: -152c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1889*c + 483587. What is l(256)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55\/46 or 1?\nAnswer: 55\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.85 - 0.15. Let d = l - -8.275. Let k = d + -1.2. Round k to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -707978\/9 not equal to -78665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8352675, 16705437, 25058199?\n\"Answer: 8352762*q - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6768.27820168 + 3.61766168. Let i = -6764 - d. Let s = i + -0.66. What is s rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((12 - 5) + -9)*2\/(-6). Let r = 2.94 - 2.3. Let o = r - 0.14. Which is the fourth smallest value? (a) o (b) 1 (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 1. Let p be (-28)\/(-16) + (-1)\/(-3 - 1). Let h(u) be the second derivative of 1\/3*u**3 + 0 - 1\/12*u**4 + u + u**2. Give p*n(f) + h(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-7.55808\nAnswer: -0.2267424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -48. Suppose 4*o = -4*i + 100, 4*i + j*o - 28 = 3*i. What is the highest common divisor of i and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242413*r**2 - 74 - 148 + 242416*r**2 to the form p*r**2 + c + w*r and give c.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*a - 3\/5*a**3 + 9\/5*a**2 - 6\/5 - 3\/5*a**4 = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1 + 59\/2*q**2 + 0*q**3 + 0*q**5 - 1\/30*q**6 + 36*q - 7\/4*q**4. What is the derivative of z(n) wrt n?\nAnswer: -4*n**3 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5007 = 1599*x + 63775 + 44566 - 7814 for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 40, 41?\n\"Answer: b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75835 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 0*p**2 + 6*p**2 - p**2 + 10*p**2. Let b(u) be the third derivative of -u**4\/24 - 3*u**2. Give b(h(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100430 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.02 and -8257 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 1, s: 1, x: 3, r: 5}. Give prob of picking 1 z and 1 r.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20568, -34112, -47634, -61122, -74564, -87948, -101262, -114494?\n\"Answer: 2*r**3 - r**2 - 13555*r - 7014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/468*2*-9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)**(12\/5)*o**0*o*o*o\/(o**(3\/4)*o) assuming o is positive.\nAnswer: o**(73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11031 (base 4) to base 13.\nAnswer: -1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48442237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -264?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + 66 + -71 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7021 and -1.\nAnswer: -7021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + 12 + -36 + 9 + 42\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 408 - 201 - 207 - 4212*j + 558*j to b + q*j and give q.\nAnswer: -3654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from aossovass.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -27. Solve 5 = q*m + 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1150164?\nAnswer: 1150200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 74 - 74 = 0. Suppose r = -2*s - y + 1276, -2*s + 2007 = -2*y + 719. Suppose -o = g - s, -660 = -g - 4*o - o. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r**2 - 7*r + 1. Calculate q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 8. What is the nearest to -0.1 in -0.3, g, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2550)\/(-14) + (2107\/(-343) - -6). Calculate the greatest common factor of p and 16835.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y. Let i(s) = 3. Let r(g) = -25*g + 3. Let b be ((-8)\/(-10))\/(1\/5) + -5. Let w(d) = b*r(d) + i(d). What is c(w(x))?\nAnswer: 300*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h = 66*h - 46 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 55. Calculate the lowest common multiple of 8 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 67*h + 682. List the prime factors of i(14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + (-43)\/(-2). Suppose -15 = 5*p + 4*c, -3*p - d = 5*c - 0. Let b be ((-5)\/2)\/(1\/(-2)). Put -2, p, b in descending order.\nAnswer: b, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at most -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**4 + 6*f**3 - 6*f + 14. Let n(t) = t**4 - t**3 + t + 1. Let k(m) = j(m) + 6*n(m). Differentiate k(g) with respect to g.\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:49 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 5*u**2 + 3*u + 6. Let t be p(5). Suppose 0*o + t = 3*o. Is o > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.84 - 3.1. Let g = t + -2.74. Which is the nearest to -2\/3? (a) 20 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-45))\/(4\/18). Let s(r) be the first derivative of 5\/2*r**m + 2 - 1\/3*r**3 - 3*r. Calculate s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12*(-136)\/357)\/(5\/21)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -128. Suppose 4*s + b*s = 304. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 10*y - 8*y. Suppose 2*v - y = 28. Calculate the remainder when 29 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a day in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3686 - 3684. Sort i, 26, 3, -3, -55 in increasing order.\nAnswer: -55, -3, i, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011100110010101101 (base 2) in base 10?\nAnswer: -3001517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132 + o**3 - 13*o**2 - 34*o**2 + 72*o**2 + 708 + 208*o.\nAnswer: (o + 8)**2*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67\/4 of a meter?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(-k - k + k) + (5*k - 4*k - 4*k)*(5 - 1 - 3).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 32 + 7 = 0, o = -4*s + 52400005. Round s to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let m(x) be the first derivative of 0*x - 2 + 3\/2*x**2. Calculate m(y(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1217106 and -151\/312.\nAnswer: 63289512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 4, 10, 22, 40?\n\"Answer: 3*m**2 - 9*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19515 + 3533 = 43*x. Solve 535*v = x*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, m: 4, u: 2}. Give prob of sequence mz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g + 20. Suppose -g*f = 3*o - 41, -5*o - 16 = 3*f - 66. Calculate the remainder when 27 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5.7. Put -5\/3, r, 4 in descending order.\nAnswer: 4, r, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17864 and 14168?\nAnswer: 410872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 - 162439*h**4 + 5 + 162441*h**4 - 3*h**2 + 2*h**3 + 13*h as z*h**4 + m*h**2 + n*h + l*h**3 + p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**2 + 3*g - 4*g + 17*g**2 + 28*g**2 to q + k*g + c*g**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brhbrrbbbmbbbbtrbmhr. What is prob of picking 1 t and 1 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 53. Suppose 0 = -f*i + 14 + 14. Calculate the greatest common divisor of i and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 3*i)*(-2 - 2*i**3 + 2) + (0*i**2 - 2*i**3 + 0*i**2)*(3*i + 0*i - i) + 3*i**4 - 5*i**4 - 3*i**4.\nAnswer: -15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 156*n**2 - 1531*n + 238840. Determine u(156).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17746477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 79765, 80108, 80687, 81502?\n\"Answer: 118*b**2 - 11*b + 79658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.7 + 15.2. Let b = 64 - g. Is b at most 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 378875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.01, -0.2, -2\/13, -4 in increasing order.\nAnswer: -4, -0.2, -2\/13, -0.01, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2154 + 49543. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13479348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2464236, 2464229, 2464222, 2464215, 2464208?\nAnswer: 2464201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4.4 (c) -2 (d) 10\/259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2259+133820\nAnswer: 136079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*h = -8492 + 2651 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -p - 3*n + 126, -3*p = -5*n - 429. Suppose 0 = -2*x - 4*l + 4, -4*x + 3 = -9*x + 3*l. Suppose -3*y + p = -x*y. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81569 is divided by 1167?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -96\/1373 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 6196984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 19 - 37) + 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5025317*d**2 - 4558762*d wrt d.\nAnswer: -10050634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 k when three letters picked without replacement from okfvaavx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**2 - 4*m**2 + 9*m**2)*(m + 3*m - 2*m) + 0*m**3 + 7*m**3 + 2*m**3 + (-3 - m**2 + 3)*(-3*m + 4*m + m).\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 18*g**2 - 27*g**3 + 28*g**3 + 1 - 18*g**2. Let d(f) = 3*f - 1. Give d(j) - k(j).\nAnswer: -j**3 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -24*z - 1. Give t(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 0 - (-14)\/3)*-87. Let t = z - -71. Suppose g = 5*x + 158, 3*g = 5*x - x + 441. What is the highest common divisor of g and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 7*n**2 + 1018*n + 4046. Determine b(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*53\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/9020 and -97\/7216.\nAnswer: 36080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -5 + -3 + -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11569, -23199, -34935, -46831, -58941, -71319, -84019?\n\"Answer: -9*f**3 + f**2 - 11570*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 684 + 2529 = 0. What is the remainder when i is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 64*q**3 - 4 - 11 - 37 + 58.\nAnswer: 64*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -33, 3.\nAnswer: -33, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27523418865 - 4*g**2 - 27523418865 + 10*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102011202120 - -121?\nAnswer: 102011210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16929 and 24693597.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) -5 (c) 49 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-17004)\/1419)\/(-4) - 3. Let b = p - -51\/43. What is the common denominator of b and -27\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z - 45 = 0. Suppose 3*w + n = 3560, 2*w + 4*n = 962 + 1398. List the prime factors of (4\/z*3)\/(24\/w).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1918620 and 2221461.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 6\/(-2) - -2. Suppose l = d - 3*d. Let w = 6 - 1. Sort w, d, 0.1 in increasing order.\nAnswer: d, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18*(x\/((x**(-2\/79)*x)\/x))\/x*(x\/(x\/(x\/x**(-13))))\/((((((x**19*x)\/x*x)\/x)\/x)\/x)\/x))**(-22) assuming x is positive.\nAnswer: x**(-27852\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/15 + 32\/(-10). Let f = t + 3. Suppose f*z + 11 = z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 43, 105, 66?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7596 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9911 by 534.\nAnswer: 9911\/534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiioioiiiioi. What is prob of picking 1 o and 1 i?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 4) + 1 + 16. Let s be g\/(-24) + 2\/4. Let c be 4\/2 - (1 - s). Sort 2, c, -33 in descending order.\nAnswer: 2, c, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.4, -2, -28\/5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285853?\nAnswer: 29, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyayoyoo. Give prob of sequence yo.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - 1*sqrt(144)) + sqrt(144) - sqrt(144)) + sqrt(144) - sqrt(144))\/((sqrt(10)*2)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 2990\/(-338))\/(16\/208).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 24*f - 32. What is the remainder when s(-10) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/2782?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 38*y - 18*y - 17*y. Let i(u) = 6*u**2. Give n(i(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(34))\/sqrt(2) + -2.\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45, -354, -885, -1638?\n\"Answer: -111*o**2 + 24*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**3*s*u**2 + 16*q**3*u**3 + 2*q**3*u**2 - 5*s**3*u**3 - 8*s**3*u - 2*u**3 wrt u.\nAnswer: 96*q**3 - 30*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 7. Let p(x) = 3*x - 6. Let t(r) = 5*a(r) - 6*p(r). Let q be t(2). Is -4 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -754 = -x + 2*y, 5*x + 2*y + 190 - 3912 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4612 + -4914. What is the nearest to h in 0, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5291.1 + 5291. What is the fifth biggest value in 5, -1\/4, 0.5, o, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 256 and -3.38?\nAnswer: -865.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-135))\/((-12)\/81).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 180 = -9*z. Suppose -5*m - 2539 = -4*s - 6362, -z*s = -2*m + 1534. What are the prime factors of m?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, m: 2, e: 4, y: 2}. What is prob of sequence remy?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92\/7 + -83\/14. What is the common denominator of (-34)\/17 - 178\/28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34235 rounded to three decimal places?\nAnswer: -0.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 40 + r + 51)*(0*r + 0*r - r**2).\nAnswer: -r**3 - 38*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3853 = -4*k + 3*n, 128*k - 129*k - 3*n + 967 = 0. Which is the third biggest value? (a) -1\/3 (b) 1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725*o + 357 = -689*o - 39. Calculate the lowest common multiple of o and 907.\nAnswer: 9977","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-32) + 1)*(-16)\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 902.2, -1\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {w: 3, g: 12, c: 3}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 768 and 28176?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -68733.0193878 and 0.5?\nAnswer: 68733.5193878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511085?\nAnswer: 5, 102217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 13*r**4\/6 - 3*r**2\/2 + 2*r + 34. Let z(x) = 9*x + 26. Let i(w) = -4*w - 12. Let o(m) = -13*i(m) - 6*z(m). What is o(h(s))?\nAnswer: -52*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**3 - m**2 + 2*m - 1. Let l be x(1). Let g = l + 25\/6. Find the common denominator of g and (2\/(-48))\/1*190.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25406 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/30 + 3*r**4\/4 - 70*r**3\/3 + 10*r**2 - 9*r - 1. Find g, given that o(g) = 0.\nAnswer: -14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -46. Which is the closest to p? (a) -3\/4 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 7*v**2 - 5*v + 9. Calculate the lowest common multiple of y(-7) and 152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321.118 take away 5?\nAnswer: 2316.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/7, -77, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(104) + sqrt(104)*3 - sqrt(104))\/sqrt(8) - sqrt(13) - (sqrt(26)\/sqrt(98) - sqrt(13))**2)*5.\nAnswer: -2340\/49 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r - 167 = -128 - 95. Let c be (0\/3)\/(1 + -2). Solve r*h - 4 - 1 = b, c = -5*b + 5*h - 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 5, 1\/1300, -15\/133, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 7*t - 27 = -0*t - 3*v, 5*t - 2*v = -18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i - 5. Let s(g) = g - g**2 + 0*g**2 + 5*g. What is the units digit of s(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488885 - 1058822.5.\nAnswer: -1547707.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*w + 6242 = -0*t, 0 = -5*t - 2*w - 10435. Let i = t + 4789. What is i rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 minus -11.12054?\nAnswer: 11.30054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93, -50, -7, 36, 79?\n\"Answer: 43*v - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**5\/60 + 3*p**4\/8 + 3*p**3\/2 - 47*p**2. Suppose 4*q = -8 + 44. What is k(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 924044.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - v + 12. Let m be o(-4). Suppose 13*k - 3*k = m. Solve -6*y + 5*h = -5*y - 11, -5*y + 5*h + 15 = k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.25129 bigger than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 33de?\nAnswer: 33e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 354866 equal to 357302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 20*m**2 + 29*m + 14. Let t be p(42). Suppose t = -12*j + 47*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.154 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/4 - 23*z**4\/4 - 35*z**3\/2 + 59*z**2\/2 + 71*z\/4 - 95\/4 = 0. Calculate z.\nAnswer: -19, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 154 = 5*f - 0*o, -2*f - 2*o = 62. Calculate the common denominator of -13\/4 and (0 - -1)*(-243)\/f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -0.35, 0.2, 0.4, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 39, 42, 57, 90, 147, 234?\n\"Answer: x**3 - 3*x**2 - x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2980165119\/229124800 - 184\/188425. Let j = d + -248\/19. Do -1 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-117))\/(-4)*-9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 0.3. What is the third biggest value in -1\/6, y, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + q + 16. Give z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 5.9 (b) -0.5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbkkbvbbbkakbbb. Give prob of picking 1 b and 1 k.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 931 + -922. Put -1\/3, 0.9, l in ascending order.\nAnswer: -1\/3, 0.9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7630.\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36428 divided by -1.\nAnswer: -36428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -0.4 (c) 1161 (d) -14719\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5287 divided by 4778?\nAnswer: -5287\/4778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -12.43 (b) -1\/5 (c) 0.06 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 17 = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (23694792\/660)\/(2\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 11:18 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8983148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/((-54)\/(-45))*(-387)\/3?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alalljalamulju. What is prob of sequence uaa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -36125?\nAnswer: 36121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = k + b - 85, 2*b - 80 = -k. Suppose -t = -k + 26. Let c = 69 - t. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + -0.5. Let m(a) = -a**3 + 2*a**2 + 3*a - 3. Let c be m(3). What is the third smallest value in c, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 - 0) - (2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 30 = -6*r - 5*u, 0 = 4*r - 3*u + 73 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 306931372 divided by -76732843?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 10. Suppose 30*s - 33*s = 15. Let w(r) = 2*r + 6. Let q(h) = s*w(h) - 3*k(h). Let v(y) = 62*y**2. Calculate q(v(a)).\nAnswer: -62*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -104. Let v = y + 72. Let f = v + 43. Let n(t) = -t**2 + 9*t - 10. Calculate n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8 - -1 - -4 - -64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 13 = -3*s, 134 = -4*s + 5*l + 69 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10782952100 rounded to the nearest one million?\nAnswer: 10783000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102920712*c**3 - 72913410*c**2 wrt c.\nAnswer: -617524272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - c + 1. Let h = -8 + 9. Let q be o(h). List the prime factors of (-3 - q)\/((-2)\/62).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5))**(6\/11)*(a\/((a*a**(-2))\/a*a))\/((a**1*a)\/a))\/(((a\/a**(-3\/4))\/a**(4\/5))\/((a\/a**(-5))\/(a**(-5)\/a*a))) assuming a is positive.\nAnswer: a**(2479\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50967 and 6.\nAnswer: 101934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (10 - 35\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, -1391\/71, 1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156295421 is divided by 52098460?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 2\/4*-4. Suppose 3*f - i = 1. Solve f*p - 2*k = 0, p - 5*k + 4 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 6*k**2 + 4*k + 12. Let s be p(-5). Let l = s - -31. Let m be (1\/3)\/(l\/(-30)). Which is smaller: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44224919 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 11:22 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14986820 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 5 - g - 4 - 4 + 2*g + 4 + (-g + 4 - 4)*(5 - 10 - 2).\nAnswer: 8*g - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4340*2.1025.\nAnswer: -9124.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.1. What is the smallest value in -2, s, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 9:10 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaat when four letters picked without replacement from {a: 2, t: 2, i: 2, f: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.0147433.\nAnswer: 0.2147433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19530 and 1512.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*d**2 + 25*d**2 + 52*d**2 - 15*d**2.\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000048742 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 17*g**2 - 10*g - 14. Let m be f(12). Suppose -m = 21*j - 23*j. Round j to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12 = -g, -5*g + 1378 - 1357 = -3*c. Solve 0 + 2\/11*h**4 - 512\/11*h + 576\/11*h**2 - g*h**3 = 0 for h.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-30))\/(1\/18) + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = -0*s. Let k be (-46)\/s - (2 - 1). Let x = -14 - k. Are x and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (105\/6)\/(-15*35\/(-900))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31\/(1302\/(-392))*3\/(-2). Let c(m) be the first derivative of 0*m - 1\/3*m**3 - l + 0*m**2. Let k(i) = 19*i**2. Give c(k(h)).\nAnswer: -361*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5))**(-34) assuming j is positive.\nAnswer: j**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 962 + -142. List the prime factors of f.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Three letters picked without replacement from {b: 1, j: 2, t: 1, k: 1, w: 12}. Give prob of sequence tbw.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12151, -3, 3 in decreasing order.\nAnswer: 12151, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/2))**(-7\/10) assuming n is positive.\nAnswer: n**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 524004 + 10 + (-84)\/6. What is r rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/16*(-16)\/4*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 4*h**2 + 4*h + 6. Suppose 34*m - 660 = -53*m - 312. Calculate u(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -18*y**3 - 15*y**2 + 42*y = 0?\nAnswer: -2, 0, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -14. Suppose -307 = -4*f - 2*b + 25, 4*f - 3*b = 312. Calculate the highest common factor of k and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 5969*o**6\/120 - o**4\/12 - 4*o**3\/3 - 10*o**2. Let z be g(4). What is z rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -15. Suppose r = 2*h + 1290 - 5570. What is h rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-42)\/126)\/((-2)\/63))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9891 and -105.\nAnswer: -9996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28034100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 5:47 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197.7 - 197.7. Let x be (-1)\/(-1)*-1 + 57. Let z be 4\/(-10) + x\/90. Which is the closest to -1? (a) 3\/2 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*15\/5. Sort r, -3, 3 in decreasing order.\nAnswer: 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1527, 1530, 1533, 1536?\n\"Answer: 3*v + 1524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/2 + 112*t - 6272 = 0.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 283 + 27 = 0. Calculate the highest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xto when three letters picked without replacement from oxotxtox.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-55) + (-16)\/88. Let d = -12 + 17. Let o = -4 + d. Is o at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-420)*1*(-3)\/(-2)*10?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*h + j = -314*h - 17, -13 = h - 5*j for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01299 rounded to 4 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20296056299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -146, 0, 6 in decreasing order.\nAnswer: 6, 4, 0, -1, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*c - 66, -2*g - 39 = -3*c - 5*g. Suppose -4*q + 8 = 5*x - c, 2*x - 12 = -3*q. Solve 5*u - 5*s = -5, 2*s = q*u - 3*s - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3114 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 47, 4, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*z + 10 - 92, -46 = -3*z + 5*h. Calculate the lowest common multiple of z and 134.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -411\/13, 73, 0.5?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -47*a**3 - 9*a**2 - 3. Let j(q) = 39*q**3 - 120 + 31*q**3 + 125 + 14*q**2. Let n(d) = 5*j(d) + 8*r(d). Give n(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 - 2057350*p**3 + 211640623005*p**2 - 1269755273480*p - 1481397953840 = 0. Calculate p.\nAnswer: -1, 7, 205732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + w - 2. Let v(f) = 11*f**3 + f**2 + 24*f - 7. What is -v(n) + 4*x(n)?\nAnswer: -3*n**3 - n**2 - 20*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 455513060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*g + 0*g**2 + 1\/4*g**3 + 1\/4*g**5 - 1\/2*g**4 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -8*m**4 - 223732*m**3 + 335616*m**2 - 4*m - 111872 = 0.\nAnswer: -27968, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-9))\/(1\/(-3)). Let f be 0\/((-4)\/2 - 0). What is the derivative of f + i + i + d wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 531 = -6*c. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**3\/3 + 61*k. Let h(g) = 6*g. Calculate d(h(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-32 + 3 + -35).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.05. Let v = y + -4.95. Which is greater: v or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.368 - -160.368. Let t = 340635.65242 + -340795.65242067. Let i = t + z. Round i to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*s - 1 = 683*s - 2*c, 43*s - 44*s = 41*c - 208 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*n - 35, 26 = 5*m - 3*n - 1. Suppose -h - m + 16 = 0. Solve -10 = -4*q + h 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) -3\/7 (b) 1\/4 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b - 89. Let f be v(26). Suppose -48*y + 2*m = -49*y + f, 21 = 3*y - 2*m. Solve 6 = y*l - 11*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**3 + 4*h**3 + 6*h**3 + 6*h**3 - 5*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 15 - ((-18 - -7) + 9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcgg when four letters picked without replacement from {f: 1, w: 4, c: 2, g: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 4*s - 4*s + (2*s - 2*s - 4*s**2)*(0 + 2 + 0))*(-18 - 20 + 19).\nAnswer: 190*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3, -1, 1334, -3 in decreasing order.\nAnswer: 1334, 42, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 2*n**2 - n. Let y(d) = 9*d**3 + 11*d**2 + 2*d - 1. What is -6*b(x) - y(x)?\nAnswer: 3*x**3 + x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrlmrrrrmmrrrmrr. Give prob of picking 1 l and 3 r.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044037 times -3?\nAnswer: -0.132111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**3\/3 - 2*u**2 + 2*u. Let d be l(-10). What is the greatest common divisor of d and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*b**6 + 363*b**4 + 16*b**3 - 64*b**2 - 3*b + 5848 wrt b?\nAnswer: -8280*b**3 + 8712*b + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2842 - -9.3382. Let m = d + -0.054. Which is the nearest to -0.1? (a) -4\/5 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (1 - (-1 + -9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93804296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.99 + 8.01. Which is smaller: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4830?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 greater than or equal to 94974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3, -2, 2 in decreasing order.\nAnswer: 41, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(200)\/sqrt(4))**2.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 131964.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*k = 7255*k + 85007 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*s**3*v + 45*s**3 - 458*v wrt s.\nAnswer: 27*s**2*v + 135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 107*w + 2475. Let v be s(-23). Calculate the highest common divisor of 158 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5263 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 7, 2, 4, -1703?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 19*f = 3*k + 71 + 25, -3*k - 3*k = -6*k + 7*f for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21805 = 9*w - 4781. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -34. Suppose 3*p = 27 + s. Suppose 2*b - 47 + 19 = 0. Calculate the greatest common divisor of p and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 624\/1529, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - 4*f**2 - 4*f - 1. Let u(k) = -3*k**3 - 2 - 17*k + 8*k - 9*k**2 - 4*k**3. Let s(l) = 9*d(l) - 4*u(l). Differentiate s(t) with respect to t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1071 + -302.692\nAnswer: -302.5849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 19*j**2 + 2426 - 2426 - j. Let o be n(-1). Suppose 7*x - 22 = o. Solve -l = -x*l - 3*b + 19, 4*l - b = 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 15 = -z - z, d + z - 3 = 0. Suppose d*l = 3 + 33. Solve 4*m + l = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*-2*sqrt(304) + sqrt(304) + sqrt(304) - (-1 + (sqrt(304) + sqrt(304) + (sqrt(304) + -2*sqrt(304))*-2 + sqrt(304) + sqrt(304))**2).\nAnswer: -10939 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8221562 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12224 + -41?\nAnswer: -12320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -4*d. Suppose 3*f + d*q = 3, -4*q = -4*f - 6 + 2. Let p(w) = -w - 2. Let s be p(f). Is -3\/2 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0*g + 0 + 0*g**4 - 5*g**2 + 1\/112*g**8 - 1\/6*g**5 + 0*g**3 + 0*g**6 + 0*g**7. What is the third derivative of a(t) wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -9. Let g be 126\/(-12) - z\/2. Let w(x) = -x**3 - 11*x**2 - 11*x + 13. Calculate the remainder when w(g) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = 3*g, 2*x + 0*g + 3*g = 5. Let k(b) = 2*b**3 - 3*b**2 - b + 2. Let o be k(2). Is o greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6136 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -304398 divided by 56\nAnswer: -152199\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. What is the nearest to -2 in r, -1\/3, 2\/21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35310 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*i - 79*i - 15 = -a, 5*i + 59 = 6*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -81. Let a be 4*(-3)\/(-18) + (-15)\/b. Factor -1\/2*u**2 - 1\/4*u**3 + 0 - a*u.\nAnswer: -u*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 20 + 44 = 0. What is the hundreds digit of -1 + (-5815)\/(-20) + (-3)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 3 + 3)*(-2 + 2 + q**2) + q**2 + q**2 - 4*q**2)*(-q - 101 + 101) in the form w*q + d + o*q**2 + y*q**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 186751157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 1, g: 1, e: 2, l: 1, a: 1}. What is prob of sequence clee?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*-6*(sqrt(91)\/(sqrt(42)\/sqrt(6)) + sqrt(13) + sqrt(13)*2 + 2 + 3 + 0)**2.\nAnswer: -13980 - 2400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/6 - 7*x\/6 - 2 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*d - 786*d + 405*d + 317*d + 305*d.\nAnswer: 798*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 9*z - 8*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-5 - (-5 - -1)). Let x be 6*(3 - 2)*(y - 0). Suppose 5*r - x = 9. What is the second biggest value in 2, -5, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -644 + -360?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3327\/200815?\nAnswer: 3327\/200815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3872 and -31\/1184.\nAnswer: 143264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2\/3 - 4486600*x\/3 + 1006478978000\/3 = 0.\nAnswer: 448660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*g - 11 = 0, 1750*z - 23 = 1746*z - g for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29373.\nAnswer: 3, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.1, 30, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.002 (b) -0.3 (c) -1 (d) -5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-34)))\/x**(2\/67))**(-5\/16) assuming x is positive.\nAnswer: x**(-2845\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 0 (c) -0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) 0.3 (d) -3 (e) -530 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -850 + 179. Let i = 713 + b. Calculate the remainder when 124 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1113 (base 6) to base 7\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let o be (3 - b)\/8 + -1. Let q = 0.7 + 0.3. Sort -2\/9, q, o in increasing order.\nAnswer: o, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-5)\/(-5) - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4633, 4626, 4605, 4564, 4497, 4398?\n\"Answer: -t**3 - t**2 + 3*t + 4632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 289*g**3 - 1121*g**3 + 2.\nAnswer: -832*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000131862 rounded to six dps?\nAnswer: 0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 10\/(-8))*68. Suppose -f = -5*n - 7. Suppose 0 = -n*p + 5*p - 153. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 36. Suppose 28 = 37*q - 35*q. Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/18 (b) 3 (c) -1\/1142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3322483?\nAnswer: 337, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 49, 65?\n\"Answer: 16*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034508*m + 1034508*m + 11*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:11 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 356616 by 1493.\nAnswer: 356616\/1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/5*(-50)\/3. Let h = l + -15. List the prime factors of h + -2 - 5 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40310 - 42?\nAnswer: -40352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/120 - t**5\/10 + t**4\/4 + t**3 + 3*t**2 - 5. Let u(f) = 3*f**3 + 13*f**2 - 13*f - 13. What is -13*g(s) - 6*u(s)?\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3725 and 657565310.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 769532.7 kilograms?\nAnswer: 769.5327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 2249*r**2 + 54231*r + 3233. Determine j(537).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 3 + 5*l**2 - 19*l**2 + 8*l**2 - l**2. Let d(k) = -20*k**2 + 3*k + 8. Determine -3*d(n) + 8*m(n).\nAnswer: 4*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37, -1957 in decreasing order.\nAnswer: -5, -37, -1957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 276, -9, -2\/7, 0.4, 1\/2, -1\/19 in increasing order.\nAnswer: -9, -2\/7, -1\/19, 0.4, 1\/2, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2933 divided by 419.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6091 + 6091. Let h(z) be the first derivative of m*z**3 + 9\/8*z**2 + 3\/2*z + 14 - 3\/16*z**4. Factor h(g).\nAnswer: -3*(g - 2)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*c**4 + 97 wrt c?\nAnswer: 208*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Suppose -3*u + 7 = -d. Sort -3\/8, 0.5, u.\nAnswer: -3\/8, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)*k)**(-24\/5)\/(k**1*k)**42 assuming k is positive.\nAnswer: k**(-444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21068 + -21066. What is p in 8\/11*p + 6\/11 + 2\/11*p**u = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/5*m**2 + 2\/5*m**3 + 0*m.\nAnswer: 2*m**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 9632*f. Let z(m) = 2*m**2. Determine q(z(j)).\nAnswer: -4*j**4 + 19264*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 6. Let r = 18.8 - w. Which is the third smallest value? (a) r (b) 3\/2 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, j: 1, f: 7}. Give prob of picking 1 g, 1 j, and 1 f.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/28 - -1) + 54135\/25704 + -2. Is a bigger than -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 take away 179?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111066?\nAnswer: 2, 3, 107, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -95*g - 206. What is the hundreds digit of a(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 51702.\nAnswer: 7\/7386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -30. Let k be (q - 1\/2)*14. Suppose -2*v + 41 + 71 = 0. Calculate the greatest common factor of k and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1812 or -8735?\nAnswer: -1812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 503, -2 in descending order.\nAnswer: 503, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*a*x**2 + 113*a - 2*x**3 + 2 wrt x.\nAnswer: -124*a*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 12*d**2 + 2*d + 14. Let l be b(-12). Suppose -2*o + 21 + 17 = 0. Calculate the remainder when o is divided by (0 + -1)\/1*l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u**2. Let s(p) = 3 - 1550*p**2 + 1515*p**2 - 3. Give l(s(r)).\nAnswer: -14700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 229076 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12874.4 and 0.1.\nAnswer: 1287.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c136 + -3?\nAnswer: 6c133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4139868 millimeters in micrometers?\nAnswer: 413.9868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 18*y + 16. Let r(p) = -4*p**3 + 9*p**2 - 3*p + 2. What is the tens digit of r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226207301*m**3 - 3*m**2 - 476204*m + 3 wrt m.\nAnswer: -1357243806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 107, -2, 56, -4, 4 in decreasing order.\nAnswer: 107, 56, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g - 146. Let p be v(9). What is the tens digit of 1\/p*-7753 + 46\/253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -10. Let j = 3 + 0. Which is the nearest to 1? (a) j (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose -3*z - 35 = n, o*z + 162 = -0*n - 5*n. Let l = n + 35. Do 3 and l have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199.2 - -199.2. What is the closest to x in -0.04, 0.4, 5\/2, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136138 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 4125?\nAnswer: -4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10 and -61\/188.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 - y + 1. Let u be b(1). Put 3, u, 2 in increasing order.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689 (base 16) to base 2.\nAnswer: 11010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 282432 = 6*h - 2*h, 2*r + 2*h + 112974 = 0. Let x = r + 3727825\/66. Calculate the common denominator of 57\/16 and x.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-27)\/189)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 2, -105112, 4 in decreasing order.\nAnswer: 4, 2, -29, -105112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + n = 3*n, 2*n = -5*f + 16. Suppose h = -2*x + f*h + 14, 0 = -5*x + 2*h + 35. Does 6 divide (-2)\/x + (-228)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 15*s**4 - 12*s**3 + 196*s**2 - 240*s.\nAnswer: s*(s - 15)*(s - 2)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -37158 divided by -6193?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i + 9. Let y be z(-3). Let b be 9\/(y\/8) - -5. Which is smaller: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/21)\/(2\/(-12)). Suppose 0 = a + a + s. Calculate the remainder when 7 is divided by (1 + 0)\/(a\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j + j + 5*j + (-5*j + 3*j + 4*j)*(4 + 3 - 3) + 2*j - 3*j - j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 1:42 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -46 + -2 + (4 - -2). What is the remainder when 57 is divided by 212\/7 + 12\/v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**8\/336 + n**5\/120 + n**3\/6 + n**2. Let q(f) be the first derivative of v(f). What is the second derivative of q(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-120)*550\/(-330)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34854 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 71*l**2 - l. What is the smallest common multiple of 56 and p(1)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16489 = 4682*v - 1445*v - 9407 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 0 - 1 + 5 + g. Let s = -56 - -59. Let j = -8 - -13. Let d(v) = -v - 2. Give j*d(u) + s*y(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -40. Let k(p) = -p**2 + p. Let z(n) = 16*n**2 + 3*n - 1. Let q(h) = -k(h) + z(h). What is the smallest common multiple of o and q(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*m - 3*f - 27 = -354*m, 2*m + 1 = -f. Suppose 3*n - 5*w = 0, n = -3*n + 5*w. Solve n = -3*r + 6 + m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.391 from -917.\nAnswer: -911.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3486 and 25\/9?\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 8*z + 3. Let a(k) be the third derivative of k**4\/24 - 5*k**3\/6 - 2*k**2. Let g be a(-5). Is b(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46975940.\nAnswer: 2, 5, 11, 29, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (85*s**2 + 97*s**2 - 10 + 2*s - 177*s**2)*(2*s**2 - 2*s**2 - s**2) in the form g*s**2 + y*s**3 + l + q*s + d*s**4 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3574 + 3620.144. Let g = i - 46. What is g rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 70*u**2 + 81*u - 713. Let w be s(71). Sort -5.7, w, 3, 0.5 in decreasing order.\nAnswer: 3, 0.5, w, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 0, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133524025 (base 6) in base 10?\nAnswer: 2701745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6558625 or -6558624?\nAnswer: -6558625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204600 and 2043800.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -17*w - 4. Let o be n(6). Let s be -4 - (-3)\/(19\/4 + -4). Let q be -3 + s + o\/(-34). What is the second biggest value in q, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/(-222)*(6 - (-54)\/(-12)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5 + 72*t**6 - 60*t**2 - 5 + 6*t**2 wrt t.\nAnswer: 8640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1978*v = -1992*v + 8456. What are the prime factors of v?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 66*k + 7*k. Solve -64 + 39 = k*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1464, 2887, 4314, 5745, 7180?\nAnswer: 8619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4638 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4767.3214326+6\nAnswer: 4773.3214326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 - 17972*a + 234316. Determine x(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(12)\/(sqrt(54)\/sqrt(9))*1)**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -88*0.5\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 9 - 1 + 10 - 5. Let d be v(10). Solve -d*a = -2*s - 4, 0*a - 18 = -a + 4*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -85.2. Let i = 4 - 19. Let n = -61\/4 - i. What is the second smallest value in -1\/5, h, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -160282212, -160282215, -160282220, -160282227, -160282236, -160282247, -160282260?\n\"Answer: -q**2 - 160282211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + u - 1. Let k(z) = -59 + 29 + 3*z**2 + z + 29. Give 6*d(v) - 5*k(v).\nAnswer: -3*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107373 and 63.\nAnswer: 322119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838299165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 + 158.96. Let s = -3.4 + u. Let z = -0.276 + 0.376. Is s at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13595*f - f**2 + 13595*f. Let n(m) = -7*m**2 + 9*m - 4. Let g(k) = 6*k**2 - 9*k + 3. Let u(j) = -4*g(j) - 3*n(j). Give u(q(p)).\nAnswer: -3*p**4 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 2, p: 2, a: 4}. Give prob of picking 1 p and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3353836, -6707681, -10061524, -13415365, -16769204, -20123041, -23476876?\n\"Answer: x**2 - 3353848*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 65.52. Let k = w - -1.02. Put k, -3, -2\/11 in decreasing order.\nAnswer: k, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3*12)\/(10\/((-3450)\/207)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 6*b**2 - 6*b - 1. Let v be r(-5). Suppose 3*l + 1 = -2*l + v*h, -1 = -3*l + 2*h. Solve -2*a**2 + 3*a**2 + 2*a**3 + l*a**4 - 2*a**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*f = -7*f + 73, -f - 4 = 0. Does 28 divide 24*9\/(i\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5733 divided by -819?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -166. Suppose -2*b + 317 = 5*y, -3*y + 5*b = -q - 125. Let a = y + 16. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 757230.17 and -2.\nAnswer: -1514460.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:15 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-9)\/(-32))\/(1278\/(-1704))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(11\/(-550)*-12).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d + 106. Determine s(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 75. Let o = 38.31 - q. Round o to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33808503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 887 and 8870?\nAnswer: 8870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 90, 97, 106, 117?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 14. Let w = -40 + 34. Let h be o(w). Sort h, 3, -2\/3, 7.\nAnswer: h, -2\/3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 158*h - 8. What is the hundreds digit of x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 6*c**2 - 5*c + 3. Suppose 4*v = s + 4*s - 65, v = 4*s - 30. Let k = v - -15. Calculate u(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*7891\/62972 + -1. Does c = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -16. Put -2\/37, l, 1\/9, -3 in descending order.\nAnswer: l, 1\/9, -2\/37, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**1*(n\/(((n\/n**(-2\/13))\/n)\/n))\/n**(-2\/5)*n**(2\/3)*n\/(((n\/(n\/(n*n**6)))\/n*n)\/n)*(n**1)**(-4\/33) assuming n is positive.\nAnswer: n**(-1579\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319985138*c**4 - 10720*c**2 - 1750*c - 1?\nAnswer: 7679643312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11282 - 3926 = 5136*g + 106571 + 27165 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22424997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -10*x - 2*k + 20, -2*x + k + 6 = 0. Suppose 3*t - x*t + 145 = -4*d, 4*d = -3*t + 499. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, 5, -4.\nAnswer: -5, -4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7104669 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*n + 4*o, 4*n - 27 = 3*o - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 743*u - 57953 = 736*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 2 + -14 - 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7116 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 274540733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/8 of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:35 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 68430400 to the nearest one hundred thousand.\nAnswer: 68400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 9*b**2 + 11*b + 8. Let v be f(9). Which is bigger: 108 or v?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809 = -6*y + 871. Let f be (2\/7)\/(10\/y). Suppose -7*o - 1 = -f. Is -2 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(10\/17)))\/(c\/c**(-44)))**(-9\/4) assuming c is positive.\nAnswer: c**(6795\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14964 divided by -6?\nAnswer: -2494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/3 + 7109919*d**3 - 50550948186561*d**2 + 119804382326548532853*d = 0.\nAnswer: 0, 7109919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence radh when four letters picked without replacement from hdafrrdddjadr?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r + 2*i + 90, 5 = i. Let p be ((-85)\/r + 3)\/((-9)\/5). Factor 2\/9*x**3 + 0*x - 2\/9*x**5 - p*x**2 + 2\/9*x**4 + 0.\nAnswer: -2*x**2*(x - 1)**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17049+-16\nAnswer: -17065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:46 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 21 - 2)*(27 + 44 - 62 + 6*b) in the form m*b + f and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 + 9*k**2 - 17*k - 53. Calculate the least common multiple of w(-3) and 128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1264\/(-14) - 20\/(-70). Let x = -899\/10 - i. What is the third smallest value in -5, -0.1, x, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 73*b**2 - 119*b + 3. Let n(d) = 73*d**2 - 119*d + 2. Suppose 22*j - 61 = -17. Let i(p) = j*x(p) - 3*n(p). Find the second derivative of i(c) wrt c.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60489, 59490, 58491?\nAnswer: 57492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*(-1560)\/(-130))\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1678 + 16)*61\/854.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08864845 times -14?\nAnswer: 1.2410783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 23, -3\/4 in descending order.\nAnswer: 23, 5, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2747*i - 10976. Determine k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/313 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28 - (-20 - -4)\/4. Suppose -27*j - 10 = -m*j. What is the third derivative of -3*o**4 + 9*o**j + 2356*o**3 - 2356*o**3 wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553 + 553 - 4*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - ((sqrt(153) - -4*sqrt(153)) + sqrt(153)) - sqrt(153)) + -3 + sqrt(153) - ((sqrt(153) - sqrt(153)*1) + sqrt(153))*2)**2.\nAnswer: 126*sqrt(17) + 7506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 84. Let v be t(-22). Let f be v - (-1)\/((-6)\/(-376800024)). Round f to the nearest 1000000.\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53315 + 53312. Let n = 1 + 0. What is the second smallest value in -6, n, -11\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.808?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 277\/2157 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**2\/2 + 5*y - 6. What is d(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18a (base 16) to base 11\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 - -1708221318.\nAnswer: 1708221428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*p + 3*p = 36, -x = 3*p + 19. Let i = x - -20. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 28 = -3*v, -3*j + 36 = j - 5*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -603? (a) -0.3 (b) -12 (c) -0.5 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 106. Is 5 a factor of (51\/(-15))\/((-4)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6288.99991058 - -6289. Round y to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 80*g + 1926 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 1, t: 2, i: 1}. What is prob of sequence ott?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -36c3c?\nAnswer: 36c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1843 - -1839. Sort 13, 17, r in ascending order.\nAnswer: r, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30310 is divided by 67?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2534 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 - 4*g + 5. Let z(a) = 168*a + 167*a + 3 + 166*a - 512*a + 11 - 12*a**2. What is -17*p(f) + 6*z(f)?\nAnswer: -4*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3)\/144*2*98?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k**(-7))**(-27)*((k**(-1\/3)*k)**(-5\/13))**(-35) assuming k is positive.\nAnswer: k**(8774\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 727164.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 179784 and 204300.\nAnswer: 4494600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4559970*l**3 + 35879543*l**2.\nAnswer: 27359820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*y - 138*y + 84. Solve -y*m + m + 81 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Suppose -18 - 7 = -d*v. Suppose 2*j + 70 = v*b + j, 60 = 3*b + 3*j. What is the greatest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**4 + g**4 - 4*g**4 + (-g**4 + 6*g**4 - 2*g**4)*(500 + 2409 + 3659) as s*g**4 + b + t*g + u*g**3 + a*g**2 and give s.\nAnswer: 19706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 406*c - 37. Let n(p) = 204*p - 16. What is -14*n(y) + 6*w(y)?\nAnswer: -420*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m. Suppose -a = -m*a - 9. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552545 is divided by 644.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*s + 52 = -0, 4*f = -4*s + 76. Suppose f = 4*z + 3. Calculate the remainder when 4 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280306238*f*m**2 - 3*f*m + 3*m - 497867 wrt m?\nAnswer: 560612476*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151827 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*j = 22, -5*j + 3543 = -3*i + 3545 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -2.96. Let t = -31 - -30.7. Put -0.4, o, t in decreasing order.\nAnswer: o, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492966603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c - 6. Let v be b(3). Let n = -27 + v. What is the second derivative of 1 - 22*g - 5 + 5 + n - 29*g**2 wrt g?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1\/41, 10, -5, 18.\nAnswer: -16, -5, 1\/41, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.320596 to 3 decimal places.\nAnswer: 1.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11586494*n**2. Let m(l) = 7*l**2. What is m(f(u))?\nAnswer: 939727902484252*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u*u**11\/u*u)\/u)*u**(-13) assuming u is positive.\nAnswer: u**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 8. Let p(u) = -j*u + 2*u + u. Let r(t) be the third derivative of t**4\/24 - t**2. Calculate r(p(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 1044*o**2 - 19521*o - 23348562.\nAnswer: 3*(o - 134)*(o + 241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239293271.\nAnswer: 3, 413097757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2305, 2\/5, 4, 1, 2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x**2 - 79*x**2 + 29*x**2 + 35*x**2.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 251 - 35. Suppose 2*g + 0*g = 2*r + c, 5*r - 5 = 0. What is the biggest value in 1, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let q(w) = w. Let f(m) = -5*m. Let g(d) = -f(d) - 2*q(d). Determine r(g(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1952)\/24*2\/304. Let u = 122 - 6952\/57. Let z = h + u. Do z and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.935712um?\nAnswer: 0.008935712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13800\/(-5244)*38 + -29 + -1.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/7 + 1728*p**2\/7 - 498410*p\/7 - 71448 = 0 for p.\nAnswer: -1092, -1, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 294. Let l = -58 - j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5892*i - 105752 - 12660 + 274875 = -173489 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10\/(((u\/(u*u\/(u\/(u\/(u\/(u*u*((u*u**(-24))\/u)\/u*u))))))\/u)\/u) assuming u is positive.\nAnswer: u**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445310419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2 + 6*t - 3. Let x be z(-7). Suppose -c - 5 = 2*c + h, -4*c - x*h = 4. Is 1334\/6 + c\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -47 (b) -165 (c) 0.3 (d) 894 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.05, -119, -438, -0.2, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22832571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2151.3903 to the nearest ten.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u - 112. Determine b(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14712 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 + 312*j**2 - 6532*j - 6840 = 0. What is j?\nAnswer: -95, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*d - 3*d**2 - 75*d - 213 - 248 - 230 + 439.\nAnswer: -3*(d + 3)*(d + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.843846 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 817 - 214 = 2*y, y - 318 = 5*g. Suppose -4*h = 5*n - 24 - 8, 2*h + 4*n - 22 = 0. Suppose -y = -h*o + 78. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a610 - 27?\nAnswer: -8a637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 + 16*h**2 + 7*h - 10. Let t(c) = 4*c**3 - 11*c**2 - 5*c + 7. Let q(s) = 5*d(s) + 7*t(s). Let i(n) = n**2. Give 5*i(x) - q(x).\nAnswer: 2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**3 + 3*d**2 - d. Let h(b) = -6*b**2 + b**2 + 4*b**2 + b**3. What is 3*h(a) + m(a)?\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in -2\/7, -0.2, -12, 1\/23, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, a: 4, q: 3, h: 1}. What is prob of picking 2 q and 2 a?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozhk when four letters picked without replacement from {y: 3, z: 1, k: 3, h: 2, o: 3, u: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 288.84.\nAnswer: -289.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -371 (b) -2.5 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 236*w + 1431. Let t be q(-6). Solve -t*x = 16*x - 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = -2*o. Let n = -5 - o. Solve n*v = -4*x - 2, -x + 4*v + 0*v = 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 + 174. Let w = 272\/5 - u. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.94917ms to seconds.\nAnswer: 0.09594917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b**2 - 3*b)*(4 + 3 + 1).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*y - 9*y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-12 - (0 - (-8 + 1 + -1))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m**3 - 9*m**2 + 16*m - 4. Let w(o) = 8*o**3 + 10*o**2 - 17*o + 4. Let l(q) = 7*s(q) + 6*w(q). Let v be l(-5). Put v, 2, -16 in decreasing order.\nAnswer: 2, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 10*u + 12. Let a be t(-8). Let y be (-55)\/(-20) + (-1)\/a. Let s be 6\/y - 6 - -12. What is the highest common factor of 24 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -390 in 3, -5, -18\/5, -0.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3 = -62. Let n = c + -5. Solve 0 = -2*x + a - 0*a - n, 0 = a - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 - 37239*c**3\/5 + 223458*c**2\/5 - 446932*c\/5 + 59592.\nAnswer: -(c - 2)**3*(c + 37245)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 858*q**2 - 67*q + 336. What are the prime factors of i(5)?\nAnswer: 19, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3*z - 10 = 0. Let c be 9600000\/(-2)*(-5)\/z. What is c rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 24.\nAnswer: -19\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**5\/4 - 131*z**4\/4 + 1243*z**3\/4 + 4707*z**2\/4 - 5635*z\/2 - 1058 = 0.\nAnswer: -4, -1\/3, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -70, -108, -146, -184?\n\"Answer: -38*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v + 442. Let g be l(-33). Let f = -182 - -184. What is the highest common divisor of f and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2 + 0*v - v**2 - 3*v + 2*v + 5. Let u(l) = l**2 + 2*l - 3. Let o(z) = -3*a(z) - 2*u(z). What is the units digit of o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1322332 + -3032?\nAnswer: 1313300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**4 + 9*z**4 - 52*z**3 + 186 - 184 - 28*z**3 in the form g*z**4 + i*z**2 + n*z**3 + m + b*z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.163 (b) 5 (c) -0.015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18532827?\nAnswer: 3, 29, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b**4 - 8*b**3 - 88*b**2 + 163*b - 91. Let r(p) = -2*p**4 - 2*p**3 - p**2 + p - 1. Let m(y) = h(y) - 7*r(y). Suppose m(q) = 0. What is q?\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let i(g) be the third derivative of -g**4\/24 + 719*g**3\/2 + 2588*g**2 + 1. Determine t(i(z)).\nAnswer: z - 2157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 14 - 5)*(5*p - p - 2*p) + 3*p + 1 - 1 to b*p + r and give b.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69733 and 274?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -614 - -1?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 780744 = -43*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u + 4. Let f be h(0). Solve -12*z**3 - 4*z**4 + f*z**2 + 3*z**2 + 8 + 12*z + 0*z**2 - 11*z**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12 - 9 - 2292*x + 18.\nAnswer: -2292*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 685\/134 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23837172 rounded to the nearest 100000?\nAnswer: -23800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013310195 rounded to seven decimal places?\nAnswer: -0.001331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73160*w*y**2 + 426*w*y + 2*w + 13*y - 3 wrt y.\nAnswer: 146320*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -739? (a) 5 (b) 2\/21 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37404562?\nAnswer: 2, 13, 137, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*m - 24 = 0, 4*m + 15 = -m. Suppose -372 + 320 = -4*j. Solve b*u + 6 = 2*d, 0*u - j = d + 2*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 2. Let r be 2*((-3 - 2) + 3). Let j be q(r). Is (-25)\/10*52\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -78*j - 1\/6*j**3 - 1\/12*j**4 - 7\/2*j**2 + 2. Give f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 521*s - 7692. Determine l(15).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12053 divided by 6367?\nAnswer: -12053\/6367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -32*i + 66. Let x be b(2). Let l(g) be the third derivative of -4*g**x + 0*g**3 - 1\/180*g**6 - 1\/30*g**5 + 0 + 0*g - 1\/18*g**4. Factor l(h).\nAnswer: -2*h*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -10.6.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205568 and 31856?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 32. Calculate the least common multiple of (-119)\/(-4) - (-5)\/20 and s(-18).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.19804 to 2 decimal places.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23132213, -23132255, -23132297?\n\"Answer: -42*f - 23132171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -421041570*d**2. Let a(i) = -2*i. Calculate m(a(v)).\nAnswer: -1684166280*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11288154.4199977 + 11288155. Let v = -44.58 - -44. Let t = v + h. Round t to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 1)*-1*(-10)\/(-20). Suppose 15 = -r*p, -4*p + 28 = 2*b - 0*b. Calculate the least common multiple of b and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/90 - 41*o**4\/36 - 26*o**3\/3 + o**2 + 116. What is b in m(b) = 0?\nAnswer: -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 166*i**2 + 162*i + 509. Let g be u(84). Solve -3*b + g*w = -21, 5*b - 225 = -3*w - 224 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.6 + -32. Let l = -6 + h. Sort -0.08, l, 1.\nAnswer: l, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5034.\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*h - 1388, -4*f + 1829 = -0*h + h. Suppose 0 = -3*n - 71 + 128. Suppose 16*b = n*b + f. What is b rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -9)*20\/(-14). What is the units digit of q + 1 + 3\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1077385, 2154767, 3232149, 4309531, 5386913, 6464295?\nAnswer: 7541677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -23563*b. Let r(l) = -308*l**2. Determine r(x(z)).\nAnswer: -171006210452*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90731 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 9. Let a be (1\/3)\/(-21 + (-2820)\/(-135)). Let j(b) = 7*b**2 + 4*b. Let s(t) = -6*t**2 - 3*t. Determine a*j(h) + l*s(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1908\/27 + 2\/6. What is the common denominator of t\/55 + 4\/5 and 121\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 263 + -261. Let v = 6 + w. What is the least common multiple of v and 572?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*q - 83242, -64*q + 208049 = 5*t - 68*q. List the prime factors of t.\nAnswer: 3, 11, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + sqrt(432)))**2 + 4)*6.\nAnswer: -576*sqrt(3) + 10416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 275461989, 275461990, 275461991, 275461992, 275461993, 275461994?\n\"Answer: q + 275461988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144 is divided by 190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 19.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t. Let g be b(1). Suppose -2*i = -g - 0. Suppose 0 = -2*h + h + 1, 4*h - 154 = -i*a. What is a rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/408 - (-2)\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 3*t - 4. Suppose 16*c - 18*c = 5*k, 0 = -2*c + 10. Determine l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14564916 or -14564912?\nAnswer: -14564912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 5\/3 (b) 1\/5 (c) -1\/19 (d) -5 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*f**2 - 8*f.\nAnswer: -4*f*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24747 by 24747.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllltctllctclc. What is prob of sequence cl?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2993.\nAnswer: 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -165*h + 12532. Calculate t(76).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1 + 3 - 5*f + 2*f - 9. Calculate the smallest common multiple of (-140)\/315 - 40\/(-9) and u(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2383, 2385, 2387, 2389, 2391, 2393?\nAnswer: 2395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v**2 + 0)*(81*v - 81*v + 31*v**2) + 2 + v**4 - 2.\nAnswer: -30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w + 8. Let z(c) = -9*c + 9. Suppose 12 = 5*p - 3*p. Let f(m) = p*t(m) - 5*z(m). What is the derivative of f(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166\/35 + -36\/7. Sort h, 2\/5, -2\/15, -3 in decreasing order.\nAnswer: 2\/5, -2\/15, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -35*s - 1. Let w be y(1). Let f = -33 - w. Suppose -f*k - 60 + 330 = 0. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**3 - 10*d**3 + 9*d**3 - 2)*(-2*d**2 + 4*d**2 + 0*d**2).\nAnswer: 10*d**5 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15542 + -0.24458. Let t = 21 - 21. What is the closest to -0.1 in -1, a, 0.09, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3443453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, -2, 2, -1233, 3 in descending order.\nAnswer: 145, 3, 2, -2, -1233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 77\/6*s**3 + 4*s + 77\/24*s**4 + 0 + 6*s**2. Differentiate v(z) wrt z.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and 2287905.\nAnswer: -411822.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3872104 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 16 + (16 - 17) + 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7745 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*3\/4*44\/(-66)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 14 = -j + 6, 4*f = -4*j. Suppose -f*w - 39 = -167. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 81*x**2 + 84*x - 1560. Calculate the remainder when p(19) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100001 (base 2) to base 14.\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9930 is divided by 3310.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by -2 - (7 + 2) - (-508 + 406)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04305 + -0.14305. Is 3\/16 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = 8 - 50 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + 5*f + 1. Let h be o(-4). Let t = h - -122. Let a = -20 + t. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 297808?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 3 + 3. Let d(m) = 1. Let p(s) = -s + 5. Let o(i) = -30*d(i) + 6*p(i). What is v(o(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -36.4, -423, -109, 4 in increasing order.\nAnswer: -423, -109, -36.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3)*-1 + 25. Find the third derivative of 293*c**5 + 26*c**2 + m*c**6 - 293*c**5 wrt c.\nAnswer: 2760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15541 - 18*z**2 - 7771 - 7770 + 72*z**2. Let y(b) be the third derivative of -b**4\/24 - b**2. Give w(y(u)).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 839, 3364, 7569, 13454, 21019?\nAnswer: 30264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -372 + 149. Let h = -216 - t. Solve 0 = 2*u - h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m. Suppose -2*w - 6 = w. Let c be ((3 + w)*2)\/2. Which is greater: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1794515*g**4 - 1794437*g**4 + 2*g**3 + 2 as u*g + n*g**3 + i*g**2 + q*g**4 + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30280124.\nAnswer: 2, 7, 337, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 20*o + 822. Let a be d(-41). Let l(p) = 3*p - 3. Let q be l(2). Solve 0 = a*f - q + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-34)\/(-4))\/((-1)\/(-6))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 433 - 436. Let d be (4 + (-2)\/1)\/1. Which is the closest to 1? (a) s (b) d (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in -0.5, 0.1, -0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22267, 44569, 66903, 89263, 111643?\n\"Answer: -p**3 + 22*p**2 + 22243*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/(((-1)\/2)\/((-7)\/(182\/(-1690))))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0*b**2 + 0 - 1\/12*b**4 + 3*b + 0*b**3 + 1\/20*b**5. What is the third derivative of z(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**2 - 67*w + 934. Determine s(12).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2179090 divided by -58.\nAnswer: 1089545\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose -g*s - 105 = -8*s. Suppose -7*z = -2*z + 4*f, -z + s = 5*f. Is z greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 3.2. Let w = -3 - -6. Let q = u - w. Which is the nearest to q? (a) 4 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -17*u + 2*u**2 + 23*u - 36*u + 384 + 0*u**2 - 13*u. What is the smallest common multiple of v(8) and 51?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/24 and 95\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 87 and 9.44 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 20*l**5 - 60*l**4 - 135*l**3 + 530*l**2 - 405*l + 90 = 0.\nAnswer: -3, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1096, 4382, 9844, 17482, 27296, 39286?\n\"Answer: 1088*j**2 + 22*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 17939*c + 17940*c - 2.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0, -3, -1, -0.2, -439?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -4. Suppose 15 = -2*m + k*m. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14 = -o, -3*o = v - 0*o - 10. Let b be -42 - 6*v\/4. Let u = b - -39. Solve -3 = m - u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12446168 and 33903?\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3421.\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984.8571l to millilitres.\nAnswer: 984857.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -25*2*3\/(-6). Suppose 5*b + 0*d - r = -d, -4*b = -d - 20. Solve -b*g = q - 14, 2*q + 0*g - 10 = -4*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.95 - 3. Let r = -2104 - -2104.04. Put 4, l, r in increasing order.\nAnswer: l, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666945 is divided by 185216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 16) to base 8\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 + 4*a + 6 = 0. What is a?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a9e + -4?\nAnswer: -1aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 0 + 0)*(3*j - j - j) - 2 + 461240*j**3 - 462180*j**3 - 43*j**4 + 40*j**4 - 2*j**2.\nAnswer: -j**4 - 940*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -972442 and -0.4.\nAnswer: -972442.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 3*g - 13*o, -5*g - 5*o + 10 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/15 and 65\/423?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22768, 22793, 22832, 22891, 22976?\n\"Answer: b**3 + b**2 + 15*b + 22751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 = 4*o + 12, 4*o + 8 = 5*z. Let j = -2 - -5. Suppose -j*g + 8 = g. Solve r + 2*a + g*a + 4 = 0, -r + 4*a = -z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1326 = -61*i + 20*i - 10*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 800.6248861.\nAnswer: -812.6248861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 15. Let v be q(6). Let k(b) = 2 + 2*b + v + b - 4. Determine k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3)\/4*(-10)\/30. Which is the closest to u? (a) -2\/19 (b) 1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, -11, -5.\nAnswer: -11, -5, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -225 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a8431 (base 11) to base 8.\nAnswer: 4715505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t = 4191 + 1634. Let b = 244 - t. Solve b*w = 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**0\/k*k)\/k))\/k*k**(4\/3))**41\/((k**0)**(-36)\/(k*k**(2\/5))**(1\/40)) assuming k is positive.\nAnswer: k**(57421\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 32*w + 6. What is f(11)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 9:29 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -0.01, 130?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/19270 and 52\/20445?\nAnswer: 1676490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stoos. Give prob of picking 1 s and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/4 - 13*b**3\/2 - 11*b**2 + 17*b - 137. Determine i(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 17*v - 81. Is l(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -15*u - 5. Let g be b(4). Let o = -48 - g. Solve 5*d - 11 - o = -i, 3*d + 5*i = 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 516844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 4:36 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + 6 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 - -182. Calculate the common denominator of (-8687)\/1020 - (-1)\/a and -81\/146.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1055 and -11.608061?\nAnswer: 1066.608061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6597 less than -1694526720?\nAnswer: -1694526720.6597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 37*u - 277 + 424, 39 = 3*z - u for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*t + 254 = -600 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8658, -34626, -77906, -138498, -216402?\n\"Answer: -8656*o**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.8 or -20995?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 952521695 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -96, -92, -70, -24?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -62.5\nAnswer: -81.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*y = -2*r - 12, 0 = -26*y + 23*y + 4 + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20012.\nAnswer: 2, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80953, 80715, 80319, 79765, 79053?\nAnswer: 78183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 3253.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0 + 0*a**5 + 0*a**3 + 0*a**7 + 2*a**2 - 1\/8*a**4 + 0*a**6 - 1\/168*a**8 + 0*a. Find the second derivative of j(n) wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*z = 428 + 997 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 1\/4, -9, 3\/19, -1 in ascending order.\nAnswer: -9, -5, -1, 3\/19, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -6. Let h(r) = 9*r**3 + r. What is the least common multiple of h(t) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbpbpbbpbibbqbb. What is prob of picking 1 q and 2 p?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/4)\/(756\/81)*14*81\/(-15).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293772504 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4533 (base 6) to base 8.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69, 565, 1889, 4449, 8653, 14909, 23625?\n\"Answer: 68*r**3 + 6*r**2 + 2*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 14 + (-536)\/(-288)*3.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 + -2102?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*((-2 + 2 - 2*l)*(3 + 3 - 5) + (2*l + l - l)*(0 + 0 - 2) + (-l + l + l)*(-10 - 13 - 11)).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i + 8 = 0. Suppose 2*n + 52 = i*r, 4*n - 12 = n. Suppose -2*d + 43 = 5*w + d, 2*d = 4*w - r. Solve 3*s + w = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -23*z**3 + 2*z**2 + z. Let g be b(-1). Let m be 9\/(-12) - 48\/(-64). Suppose -c + 48 + g = m. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 0*n + 3*n**3 - 3\/5*n**4 - 12\/5*n**2 + 0 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n - 5*n - 17*n)*(2 - 5 + 1).\nAnswer: 66*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*s - 116*s + 714 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 10*q + 5. Calculate the lowest common multiple of 4 and j(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1428, -1486, -1532, -1560, -1564?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196276416?\nAnswer: 2, 3, 7, 37, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 - 601*s**2 - 5*s + 20. Let b(d) = -2*d**3 + 300*d**2 + 3*d - 12. What is -5*b(l) - 3*g(l)?\nAnswer: -2*l**3 + 303*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234878541?\nAnswer: 3, 109, 223, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97880826 and 310.\nAnswer: 489404130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sszxkjx. Give prob of picking 2 s and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -2 (c) -521 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v\/(v**(1\/3)\/v))\/v*v*v)**(-2\/13)\/(v**(-1\/2)*v**(-2)))\/(v\/(v**(-5)\/v)*(v\/(v*v**(-6)))\/v)**(-40) assuming v is positive.\nAnswer: v**(37579\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -34 (b) 13 (c) -0.3 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 65*u**5 - 65*u**5 + 132*u**5 - u**5 + 4 - 4 + (-5*u**3 + 4*u**3 - u**3)*(0*u**2 + 3*u**2 - 4*u**2) - u + 2*u**5 + u.\nAnswer: 5*u**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49067012 divided by 49067012?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*o + 47 = 3*o, 5*o - 2 = -2*t. Suppose 4*w + 8 = a + a, -w - 3 = 0. Sort -4, t, a in decreasing order.\nAnswer: a, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -457 - -471. Solve p - 65 = d*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 606 + 661 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -238539088*y**3 - 20176688?\nAnswer: -715617264*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -58*w + 304. What are the prime factors of b(-3)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 178*s**2 - 10*s - 11. Give x(-2).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/205147 and -41\/7.\nAnswer: 1436029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8497, 17040, 25583, 34126?\n\"Answer: 8543*k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -142*a - 672. Does 8 divide m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12854*n - 12847*n = 28. Let d(y) = y**2 - 12 + 0*y + 0*y + 39*y**3. Let l be d(n). What is l rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858265325.\nAnswer: 5, 59, 1937807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -313*j**2 + 15*j. Let d(k) = 4*k**2. Give f(d(l)).\nAnswer: -5008*l**4 + 60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*d**2 + 5*d**3 + 19*d**2 + 32*d**2)*(-6 + 2 + 1).\nAnswer: -15*d**3 + 51*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/321045376 and 109\/200653360?\nAnswer: 1605226880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 404118?\nAnswer: -202059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, 4, 40 in descending order.\nAnswer: 40, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/2721 + 15299\/65304. What is the common denominator of j and 28\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 - 5702*t\/11 + 202680\/11.\nAnswer: 2*(t - 2815)*(t - 36)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255508?\nAnswer: 2, 11, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**32\/(l**1)**(2\/9) assuming l is positive.\nAnswer: l**(286\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11360, -22360, -32998, -43274?\nAnswer: -53188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvavdvvgfaggvf. Give prob of picking 3 g.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -43*k + 158. Let z(q) = -14*q + 41. Let g(i) = 2*r(i) - 7*z(i). Calculate g(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34191 and 6525?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31849 (base 13) in base 12?\nAnswer: 43811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/5 + 16*f**2\/5 + 198*f + 972\/5 = 0. Calculate f.\nAnswer: -18, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**6\/120 - 1499*p**4\/24 + 241*p**3\/3 - p**2 - 1952. What is the derivative of m(l) wrt l?\nAnswer: -3*l**2 - 1499","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067 rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 8) in base 15?\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 7*v + 5. Let h(d) = -d + 1. Let i be h(8). Let n be f(i). What is the third derivative of 0*g**2 - g**n - 2*g**2 + g**2 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = 7*q + 16. Suppose -19*n = -7*n - q. Calculate the lowest common multiple of 34 and n.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 2*q**2 + 2*q + 1. Let a be k(-2). Suppose -5*b = -a + 11. Suppose 3*m = 10*w - 5*w - 1049, -b*m - 6 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4*z**2 + 12*o**4*z - 4*o**2*z**2 + 101*o**2 wrt o?\nAnswer: -72*o*z**2 + 288*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368626 is divided by 368619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3\/2, 2\/17, 0.08, 4\/3, -32\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - q + 75, 4*q = 2*q. Let z = 159 + o. Suppose 4*g + 2*i + i - z = 0, -88 = -3*g + 4*i. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266343553.\nAnswer: 7, 599, 63521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659196849.\nAnswer: 3, 19, 3049, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpnp when four letters picked without replacement from {p: 2, n: 3, m: 1, g: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 93*z - 46*z - 46*z. Let c(q) = q**2 + 4. Let v(w) = -c(w) + 5*d(w). Calculate v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:08 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13932616, -13932614, -13932612, -13932610, -13932608, -13932606?\nAnswer: -13932604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 3*i = -3*g - 6, 0*g + 3*g - 2*i + 11 = 0. Which is the third biggest value? (a) w (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 h when four letters picked without replacement from {s: 3, e: 3, d: 4, b: 1, p: 1, h: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*l + 5*b, 0*l - 18 = l - 5*b. Suppose 3*q - o - 18 = 14, l*o = -4*q + 36. What is the remainder when 35 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5328 = -1252*i + 17208 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 350417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 90 = 8*h. Suppose -3*g + g = -16. What is the remainder when g is divided by ((-4)\/(-6))\/((-4)\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3687 (b) -36 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 282*h**2 + 163 + 43*h**2 - 161.\nAnswer: -239*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 69 = -13*v. Let g(m) = 38*m**2 + 8*m - 9. Let r be g(v). Solve -s + r - 32 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -155823?\nAnswer: -155823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = -5. Suppose 0 = g*s - 3*s + 21. What is the highest common divisor of s and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 17*v**5 + v**4 + 3*v**3 + 4*v**2. Let p(c) = 13*c**5 + c**4 + 3*c**3 + 3*c**2. Let t(x) = 4*a(x) - 5*p(x). Find m such that t(m) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**20)**(-15)*(v*(v*v**(-4))\/v)**(2\/7) assuming v is positive.\nAnswer: v**(-2106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6)\/(2\/(-8)). Suppose d - 7 = -3, -3*f - p*d = -134. Suppose -j = 2*j - f. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26640694 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 455 - 2785. Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c + 66*c + 14*c - 16*c as v + m*c and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77633 + -3?\nAnswer: 77630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - (-4 + 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(2\/5)*(d\/d**(-2\/3)*d)**(-1\/33) assuming d is positive.\nAnswer: d**(-238\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1822, -1867, -1912, -1957, -2002?\nAnswer: -2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -2*(-57)\/(-3). Suppose 126 = 8*d - l. What is the highest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*100\/30.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3\/2*(-11969468)\/(-399)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/120 + n**5\/15 + n**4\/12 + 2*n**3\/3 + 3*n**2. Let j be h(-3). Solve 13 + j = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-10) - (-36)\/(-90)) + 32. Let z = a - 28. Is z at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 12098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 54, 0 in decreasing order.\nAnswer: 54, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - i. Let h(s) = -137*s + 328. Let w be h(2). Suppose i*q - w = -38. Solve 4*m = 16, 36 = -q*n + 5*m - 0*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/168 in -0.058, -4, 5, -1, 6, 0.05?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*u - 929. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(117)) - ((2*sqrt(91))\/sqrt(7) + (-4 + (sqrt(39)\/sqrt(3) - sqrt(13)))**2).\nAnswer: -24 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1975*y + 11831. What is c(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11427 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s + 350 + 404 = 108*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/12 + 1580\/474?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87447777 is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one eighths of a week?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**3 - 2*q**2 + 2*q + 1. What is the remainder when h(-2) is divided by (3\/(-6))\/(1\/(-38))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iisi when four letters picked without replacement from {i: 4, s: 10}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0)\/(-12) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 6:22 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*x + 38 = -23, 5*x = -20. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y + 792 - 1128 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -19 + 0*u**3 - 13*u + 0*u**4 - 35\/2*u**2 + 2\/5*u**5. Differentiate p(z) wrt z.\nAnswer: 8*z**3 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 12*a**2\/11 + 1182*a\/11 - 3030\/11 = 0.\nAnswer: -101, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -y + 5*y. Calculate the remainder when 35 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -7, -44, 4, 7, 3 in decreasing order.\nAnswer: 8, 7, 4, 3, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + -5)*(1 + -1). Suppose 2*n - 4 - 4 = v. Solve -n*i = 2*o - 7 + 37, 20 = -4*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27541514 and 99\/9464?\nAnswer: 1432158728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127698414 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7 (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 32.9?\nAnswer: -29.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*o - 19980 = 89*o. What are the prime factors of o?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 359, 538, 715?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 219814973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + (-24)\/(-14). Suppose 4*h = 8*h - 8. Let x = 1 - 1. Solve x = s*a - 5*v + h, -v = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2033500*h + 2033500*h + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 = t, 6*t = 5*t - 2*i - 12. Let y be 68\/(-6)*(1 + t). Let b = 71 - y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 2. Let q = 19 - 37\/2. Suppose i = -2*i. What is the closest to i in n, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -6 + (1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14 = -0*p. Let c = 9 + p. Solve -6 - 2 = c*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 62927128?\nAnswer: -62927127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 12*b - 4*b. Does 38 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 30*h**3 + 74*h**2 + 174*h - 220 = 0. What is h?\nAnswer: -2, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -15\/32?\nAnswer: -15\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12350311 (base 7) to base 4.\nAnswer: -10101302032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 30208 - 14350 = 4*q, -11137 = q - r. Let s = 25302 + q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a - 4. Let u be y(-6). Suppose b = -b + u. Let h = -6 + b. Calculate the least common multiple of h and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -535*c - 44. Let l(n) = -355239*n - 29205. Calculate -2655*f(o) + 4*l(o).\nAnswer: -531*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.148 + 7.22. Let r = o - 0.082. Let t = -0.01 - r. Which is the closest to 0? (a) 4 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -2*n + 4*n, o = -4*n - 9. Suppose -4 = o*i - 28. Let f be (-9 - -6)*i\/6. Let p(v) = -v**2 - 2*v + 4. Calculate p(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -66, 4174 in ascending order.\nAnswer: -66, -4\/7, 4174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1315635 and 173055?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649803996.\nAnswer: 2, 3, 18050111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2\/397, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 247*a - 6*a + 23*a + 27*a + 63*a - 1 + (0 + 0 - 4)*(6*a - a - 2*a) to g*a + w and give g.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*t = 0, -2*t - 25 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1017623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 3*z = -4650 + 4687, -2*a + z - 23 = -2*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 2266624?\nAnswer: -2266623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j + 5*s - 172219, -j + 57421 = -2*s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 9195 - 13798 - 45647. What is the greatest common divisor of 75 and s?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/446691 and -173\/7476.\nAnswer: 1786764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.1. Let f = q - -0.2. Let p = 85 - 84.6. Put p, f, 2\/7 in increasing order.\nAnswer: f, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edad when four letters picked without replacement from {d: 3, j: 1, e: 2, a: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5391440 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 2*m + m)*(4 - 4 - m**2).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66673 and 615359.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44d - -2?\nAnswer: 44f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 12)*(2 + 0 + 0)*(674*a - 1 - 1391*a + 648*a).\nAnswer: -1518*a - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 5 + 27. Let h be ((-5)\/(30\/548))\/(b\/6). Let j = h - 154. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1216\/3 - -1280\/3. What is the common denominator of n and ((-25)\/(-2))\/((-36)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*t)*(4 - 2 - 1) - 100*t + 30*t + 46*t to i + v*t and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16960?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 44*i - 68013. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m - 4 - 3*m - 4. Let q(r) = r - 1. Let x(w) = 6*q(w) - s(w). Let z(i) be the first derivative of -i**2\/2 + 2*i - 1. What is -3*x(b) + 2*z(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 10. Let r(a) = 2. Let q(h) = 1. Let y(s) = -5*q(s) + 3*r(s). Suppose 5*j = 5*k - 25, 537*j - 40 = -2*k + 533*j. Determine k*y(f) + g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5149416 divided by 3\nAnswer: 1716472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3657 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28)\/(411\/(-5754)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 14. Is m(11) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 - 282. Is (9200\/150)\/((-2)\/s) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7262 is divided by 2419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 134100587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -344*b**3\/3 - b**2\/2 + 1915*b + 1943. Find the first derivative of a(r) wrt r.\nAnswer: -688*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/204*(-3)\/3*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -408\/5. Which is the third biggest value? (a) 2 (b) s (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.5 (c) -49 (d) 0.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*(-1 + 55\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 50*a**2 - 305*a - 350.\nAnswer: 5*(a - 5)*(a + 1)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26444682 and 396?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/11 - (140\/(-44) - -3). Factor -1\/3*m**2 + 0*m + o - 1\/3*m**3.\nAnswer: -m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/299 and 49\/39.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 96988*r**2 + 193988*r - 96996.\nAnswer: -4*(r - 1)**2*(r + 24249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 862*q + 24118. What is f(-28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + -1 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*r - 17, -2*x + r = 7 - 33. Let n(v) = -v**2 + 2*v + 3. Let u be n(-2). Let f = x - u. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12. List the prime factors of r\/(-5) - (-584)\/20.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, d: 2, t: 6, p: 3, k: 3}. Give prob of sequence tdtp.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -721 (base 11) to base 13\nAnswer: -51c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1355*a - 1104. Let p(h) = 2714*h + 2209. Let d(u) = -11*o(u) - 6*p(u). What is the first derivative of d(z) wrt z?\nAnswer: -1379","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, y: 4, h: 1, w: 1, s: 4, n: 3}. Give prob of sequence wn.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -3\/7 (c) -0.4 (d) -6 (e) -14\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5673 and 549.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) - 29\/4. Let f = -0.9 + 0.6. Let y be 60\/150 + 72\/(-130). Which is the second biggest value? (a) y (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2509794594 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 46*s - 5*s + 5*s.\nAnswer: -43*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/61715 + 123376\/555435. Let p = -3 - -1. What is the third biggest value in -12, 2, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19043 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/(-282)*3\/5*5. Let k = u - -43\/2068. Find the common denominator of k and 52\/121.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*u = 9, -2*u + 12 = -5*z + 2*u. Factor z + 1\/2*m - 1\/2*m**2.\nAnswer: -m*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38180?\nAnswer: 2, 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + k + 6. Suppose -12*d - 14 = -2. Let u(q) = -q**2 - 1. Determine d*f(c) - 4*u(c).\nAnswer: c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -23 - (1 + 4) - -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*h**5 + h**3 + 461*h**2?\nAnswer: -2880*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 0.092, -0.0606, -1?\nAnswer: -0.0606","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21654*1.4.\nAnswer: 0.303156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -20. What is the remainder when r + -1 + (4 - 3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 1 + 1 + (0 + 0 + 1)*(-2*l**2 - 4 + 4) + (-6*l + 26 - 26)*(-l + 0*l + 2*l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:50 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6461.999996881 + 6462. Round m to seven dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.081 - -0.02539754\nAnswer: -0.05560246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -85*x**2 + 2619*x - 2129. Calculate l(30).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6))\/((-2)\/20). Suppose 0 = m*z - 3*c + c + 95, 5*c + 4 = z. Let h = 31 + z. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24389\/4, 0, 207 in descending order.\nAnswer: 207, 0, -24389\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 663 + -428. Let l = f - 230. Which is bigger: l or -1.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408393.6 litres in millilitres?\nAnswer: 408393600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1013 + -1018. Let k(r) = -25*r**2 + 20*r + 3. Let a(f) = 12*f**2 - 8*f - 1. Let d(u) = s*a(u) - 2*k(u). What is d(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764348 not equal to 764346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose -18 = -5*p - 2*v, s*v - 17 = -3*p + 8*v. Differentiate -5*t**3 + 5*t**3 + t**p + 1 with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-28)\/(-6)*339\/226).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-4) - -2 - (0 + -4). What is the fourth biggest value in 1, 0.1, 1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*i**2*j*m - g*i**2 + g*i*j*m + 208*g*j*m - 3*i**2*j - 3*i*j + 14*i with respect to m.\nAnswer: -4*g*i**2*j + g*i*j + 208*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let c(z) = -2254060*z. Determine k(c(d)).\nAnswer: -4508120*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9)*-3 + 22. Suppose i = -a - 0*a - 5*m, 5*m = a - 17. Is -3\/2 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) + (-14)\/(-78). Let p = -16.969 + -0.031. Let z = p + 15. What is the second smallest value in -1, z, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/32660 and -101\/40.\nAnswer: 65320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*v + 4, 3*v = 2*y - 5*y - 3. Solve 0 = -y*x - 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxvxlslvsslxdssvs. Give prob of picking 1 s and 1 l.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 165.\nAnswer: -148.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8558*-57.\nAnswer: 487806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/21, -0.451, -3, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2*m**2 - 9*m - 7. List the prime factors of s(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31211 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8 + 1, 0 = x - 4*q - 44. Solve x = -4*w + 48 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4723, 4726, 4729, 4732, 4735, 4738?\n\"Answer: 3*k + 4720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Let d be p\/(-14)*(-3 + -4). Suppose 0 = -d*a - a + 3. Solve 2*i - a = 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 + 12 - -9) + (49 - -6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5978030 divided by 30?\nAnswer: -597803\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 49*j + 90 = 0. Solve 5*q - 10 = d, -4*d + j*q - 25 = -0*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*c - 15, -c - 21927 = -4*y - 21945 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 - 70*i**4 - 134*i**3 - 66*i**2.\nAnswer: -2*i**2*(i + 1)**2*(i + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -122569 (c) -0.4 (d) 2\/9 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/409 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1175224 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1309 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 4980291?\nAnswer: 4980312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -13\/69405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 92*g - 654. Let w(a) = -3*a**2. What is h(w(i))?\nAnswer: 18*i**4 - 276*i**2 - 654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 2*l**2 - 3*l. Let y(r) be the second derivative of -r**6\/360 + 5*r**4\/12 + 6*r. Let f(w) be the third derivative of y(w). Determine i(f(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 243 - 239. Suppose -z*p + p + 409 = 2*x, 5*p = x - 211. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from qqqqacqqkqqckqackkq.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 25, 17, 5, -11, -31, -55?\n\"Answer: -2*j**2 + 2*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1300 - -976. Let v be 244\/(-378) + ((-1320)\/u - 4). Which is the biggest value? (a) 0.5 (b) 35 (c) -2\/9 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 471*k**3 + 954*k**2.\nAnswer: -3*k**2*(k - 159)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1300))*-6.\nAnswer: -60*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172 - 89. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 - 3*h**4 - 2 + 5*h**4 + (-110 + 224*h**2 - 444*h**2 - 3*h + 219*h**2)*(-h**2 + 2*h - 2*h) as g*h**3 + q + n*h + j*h**2 + k*h**4 and give j.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -114, -240, -372, -516, -678, -864, -1080, -1332?\n\"Answer: -p**3 + 3*p**2 - 128*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 93.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-87)\/9)\/(1 + -4) and 18\/(-30) - 1212\/(-270).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -69, -187, -361, -591?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176494, -352976, -529458, -705940, -882422?\nAnswer: -1058904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2769, 5537, 8317, 11115, 13937?\n\"Answer: c**3 + 2761*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100588829 to 4 decimal places.\nAnswer: 0.1006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(48960\/108205) - -106\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3688 divide 1107594912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 256519.\nAnswer: 256519.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 501 = -5*p + 8*p, 5*p = -4*l + 879. What is the remainder when p is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**3 - 336*p**2 + 308*p + 1992 = 0.\nAnswer: -2, 3, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1082 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-34)\/8 + (-1)\/(-4). Which is the smallest value? (a) -6 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 >= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from gslgrgnrg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g**2 - g - 1. Let s(l) = 55*l**2 - 11*l - 1. Let b(f) = -6*i(f) + s(f). Suppose k = 3 + 3. Give b(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1484 and 252.\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 537.2 minus 10?\nAnswer: 527.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.089? (a) -0.5 (b) -4 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than 71553.918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*v**5 + 54*v**4 + 39*v**3 - 78*v**2 - 12*v + 24 = 0. Calculate v.\nAnswer: -1, -2\/3, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 3*i + 4*n - 80 + 54, -351*i + 4*n + 408 - 1433 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, l: 6, j: 1, f: 1, y: 3}. Give prob of picking 1 q and 1 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (237717\/2867 - 83)\/(5 + -6)\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -827, -1790, -2753, -3716, -4679, -5642?\nAnswer: -6605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 219*q - 468. Let n be x(5). Calculate the greatest common factor of n and 726.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + u + 6 = 0, 3*u - 4 - 5 = -3*p. Suppose 5*t - 10 = 0, -p*g - t - 168 = -4*t. What is g rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b + 295. Let a be v(-30). Suppose -5*p - 4*u + 4350 = 1305, -4*p - 4*u + 2432 = 0. Let f = p + a. What is the greatest common divisor of f and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 8*g + 7. Let p(x) = 1. Let j(k) = -3*p(k) - u(k). Calculate the remainder when 37 is divided by j(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6921143 to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -79631 at least -79631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbllllblllllllllllll. What is prob of sequence blbl?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k + 3*s, -3*s = 0. Let r = k + 0. What is the second derivative of 2*w - w**4 - 4*w + r*w wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f - 67. Let w be x(6). Suppose -w*u + 4 = 2*t, -u - 4*t = -3*t + 1. Factor 0*b + 1\/4*b**3 + 0*b**u + 0.\nAnswer: b**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (-872 + 855).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 215, 648, 1081, 1514?\n\"Answer: 433*u - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.082, 2, 1\/3, 1.97, -5, -1.\nAnswer: -5, -1, 0.082, 1\/3, 1.97, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 401858893 to the power of 1\/3, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 248, 374, 502, 632, 764?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 3*q)*(5 - 39*q + 37*q - 2)*(135*q - 192*q - 296*q).\nAnswer: 706*q**3 - 1059*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-4 - -6) + -2 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 29 = 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29.821359?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412306845?\nAnswer: 3, 5, 107, 256889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10952627 is divided by 5476261?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 358 and -2593.\nAnswer: -928294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((528\/(-792))\/((-1)\/3))\/(2\/(-77))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3435 - -0.0565. Which is the second smallest value? (a) -5 (b) -0.233 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2613883?\nAnswer: 2613883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7796, 7816, 7836?\n\"Answer: 20*w + 7776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 11*s + 13. Let w be y(-10). Let c = w - -4. Let q = -678 - -686. Solve u = -2*d + c - 1, 4*d + u - q = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(4\/21) - (27 + -28). Calculate the greatest common factor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**5)\/s**1*s\/(s\/s**1)*s**5 assuming s is positive.\nAnswer: s**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575815.4kg to milligrams.\nAnswer: 575815400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/1*1\/(-2) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -0.4, -102?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 395599.204917 - 395599. Let n = -0.205 + o. What is n rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:49 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, and 1 i when three letters picked without replacement from aamzmazzaaiaz.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = n - 4*d, 3*n - 132*d - 3 = -128*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9453239827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/60 - k**4\/6 - k**3\/2 + 2*k**2. Let b = 42 - 31. Let g(n) = n**3 - 12*n**2 + 10*n + 6. Let m be g(b). What is x(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316893 is divided by 5111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 1 - 1)*(b - b + b - 2)*(24 + 8 - 10).\nAnswer: 22*b**3 - 44*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*p + 3*p = -2, -3*k + 14 = -p. Let j be (1 - (-21)\/k)\/2. What is the third derivative of -d**2 + 2*d**j - d**4 - 5*d**4 - d**4 wrt d?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -248.947 + 249. Let m = g + -0.053. Which is the smallest value? (a) -0.2 (b) m (c) 2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 258 and -5.\nAnswer: -1290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 - 60*s**2 + 5*s + 60 = 0. What is s?\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*l + 4 = 0, 5*c + 4*l - 3*l + 23 = 0. Is 0 - (-132)\/(-8)*c a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356163 (base 9) to base 6\nAnswer: -4332520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32020931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 * -103459\nAnswer: -22760.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28304*t**2 - 28304*t**2 - 677*t**3 + (-2*t - 2*t**2 + 2*t)*(0 - t + 0) - 6*t**3 - 3*t**3 + 5*t**3 to p*t**3 + d*t + g*t**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 6*h - h + 557 - 4*h.\nAnswer: h + 454","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + b - 7492, -3*h - 3*b = -h + 5002. Let o = h + 5077. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 58*p - 853. Is s(-52) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 8982825?\nAnswer: 8982825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122451158?\nAnswer: 2, 4657, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1137 (base 12) to base 2\nAnswer: -11101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/6245 and 7\/4.\nAnswer: 24980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 2 = 15*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = n + d, -8*n = -4*n - 7*d - 28 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6732801 is divided by 134656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41364778, -41364777, -41364774, -41364769?\n\"Answer: c**2 - 2*c - 41364777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/15795*135)\/(((-175)\/9)\/5).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, f: 9}. Give prob of picking 1 f and 1 g.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 4*g**2 - g - 1. Let x be m(-4). Suppose 5*t - 25 = 4*t + 3*j, 45 = x*t - 3*j. Let h be (-1)\/(-2) + t\/4. Solve -h*n = -5*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-19\/3)\/(m*m*m\/(m**2*m))**(-2\/73)*(m**(-1\/4))**(-1\/30)\/(m\/m**(1\/3)*m\/m**(1\/2)) assuming m is positive.\nAnswer: m**(207\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 2 - 2)*(0*z + 0*z - 2*z) - 13*z**2 - 3*z**2 - z**2 + (0*z**2 - z**2 + 0*z**2)*(-7 - 8 + 2) + z**2 + 8 - 8 as x*z**2 + n*z + g and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -28*t + 0 + 1\/50*t**5 + 1\/10*t**4 + 0*t**2 + 2\/15*t**3. Find v, given that r(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 752, 5, 10, -1 in increasing order.\nAnswer: -1, 5, 10, 752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/91 or -1?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -77*j**2 + 1. Let u be d(-1). Let b(n) = 2*n**2 - 13*n + 17. Let m be b(5). Is u\/8*m\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61288929 - 6321*f - 61288929 to d + k*f and give k.\nAnswer: -6321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - x + 19, 2*k + 9 = -185*x + 182*x for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-885*g + 880*g + 14 + 4)*(0 + 2 - 1).\nAnswer: -5*g + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62, -594, -1228, -1828, -2382?\n\"Answer: 2*n**3 - n**2 - 667*n + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/20 - c**4\/24 - c**3\/6 - 93*c**2 + 2*c. Let g(n) = -n**2. What is 4*g(r) + k(r)?\nAnswer: -r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22011 (base 3) to base 9\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 15. Let i be g(-7). Let b(m) = -26*m + 3 - 4 + i*m. Let j = -599 - -593. Determine b(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3815.8 - 3816. What is the nearest to i in 4, 0.43, -9?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + ((-136)\/40 - -4)\/((-45)\/150). Let n be 16\/(-1)*1\/2. Suppose 0 = -2*z + z. Put n, z, w in decreasing order.\nAnswer: w, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from bddbxxuooxocbboxxubd.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 591, 1178, 1765, 2352, 2939?\n\"Answer: 587*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1155804, 2311612, 3467420, 4623228, 5779036, 6934844?\n\"Answer: 1155808*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12220 and 8915160?\nAnswer: 5447162760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - 1. Let o = 70 + d. Let a(u) = -u**3 - 10*u**2 - 8*u + 12. Let k be a(-9). Solve -3*w = o*y + 7, k*y = -2*y - 2*w - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81*-0.5\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757 = -4*d + 625. Let g be ((-1 - -38)\/1)\/1. Let o = g + d. Is 1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*d - 4*d = -4, 4*m - 2*d - 8 = 0. Solve 3*i = o - 0*o - 16, 2*o + 2*i = m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avwaw. What is prob of picking 1 w, 1 v, and 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*w + 148*w - 61*w - 48*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2221551 + 4?\nAnswer: 2221555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from peiefffpphppfpph.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2*q**5 - 2*g**2 + 128*g*q**5 + 5*g*q**2 - 11*q**2 wrt q?\nAnswer: 180*g**2*q**2 + 7680*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 3433.\nAnswer: 10299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36359447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104*d**3*n**2 + 7*d**3 - 46*d**2*w + 2*d*n**2*w - 2*d*w + 51*n**2 - 4*w wrt n?\nAnswer: 208*d**3*n + 4*d*n*w + 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-12 + 4 + 19 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5320\/(-450))\/19 - (2 - (-40)\/(-18))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 + 0 = 0. Suppose 0 = 4*h - f + 10 - 4, 4*f = 8. Does h = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, -7, -40, -32, 4, 5, 0 in increasing order.\nAnswer: -40, -32, -7, 0, 4, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1213 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.18 + -6.43. Let t = 5.75 - u. Which is the second biggest value? (a) t (b) 2\/7 (c) 0.1 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 20*r**2 - 4*r + 1. What is y(-20)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 - 52*x - 191*x**2 - 187*x**2 + 112 + 576*x**2 - 194*x**2.\nAnswer: 4*(x - 9)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + 0.19. What is the closest to 4 in h, 3\/5, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -4*b**5\/15 + b**4\/6 + 292*b**3\/3 + 1478*b**2. Differentiate x(z) wrt z.\nAnswer: -32*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 - 53*r**2 - 246*r - 288 = 0.\nAnswer: -48, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7*p - 5*c = 40, -3*p = 4*c - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -2 + -3 - (sqrt(65) - (sqrt(65) + (sqrt(65) - 1*sqrt(65))))\/sqrt(5).\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**5\/5 + 981*w**4\/4 - 1304*w**3 - 7214. Find the third derivative of t(p) wrt p.\nAnswer: 24*p + 5886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 394 + 3*x**3 - x**3 - 197.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -3 (c) -5 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - r - 9, -4*d - r = 4*r - 27. Suppose -75 = -d*o + 99. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 7*a - 56 - 19*a.\nAnswer: -26*a - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34230, 77334, 120436, 163536, 206634, 249730, 292824?\nAnswer: 335916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34202 and 4886.\nAnswer: 34202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-400)*16\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (352*g + 207*g - 397*g - 3*g + 5*g - 4*g + (-2*g + g + 0*g)*(0 + 5 - 4) + 3*g - g - 3*g)*(2 + 5 + 2)*(4 - 2 - 4) in the form r + u*g and give u.\nAnswer: -2844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 1258*c + 34017. Calculate r(-26).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 - 950220384.\nAnswer: -950220146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1925976 divided by 59.\nAnswer: -1925976\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 1 + 15. Let r be 0\/(4 - (b + -2)). Let h be -440 + -2 + r + 2. Round h to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (113 - 110)*((-6)\/63)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4272*t - 802993. Determine f(-188).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -9.6 (c) -2\/7 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 2*k + 10. Let l(p) = p**2 + 2*p - 9. Let m(b) = 7*l(b) + 6*x(b). Let h be m(-4). Solve h*q + 22 = s, 0 = 4*q - 3*s - 9 + 31 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2495514 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4337, 8738, 13187, 17684?\n\"Answer: 24*b**2 + 4329*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3249382.5 seconds?\nAnswer: 37.60859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:29 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*h**3*i**3 - 193*h**3 + 6*h*i**2 - 11*i**3 - 2 wrt h.\nAnswer: 60*h*i**3 - 1158*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*153\/(-612).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-1113))\/((-20)\/(-70)). Suppose -5 = 2*f + 3*f. Which is bigger: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*(-46)\/(-23)*28\/(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -358*f**7\/105 - 31*f**5\/12 + 7*f**3\/6 + 5*f**2 - 2. Find the third derivative of v(a) wrt a.\nAnswer: -17184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10003865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6488, 6483, 6478?\n\"Answer: -5*v + 6493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/98936 and -61\/3.\nAnswer: 296808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-110))\/((-11)\/(-55)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*i - 5 = 0, 3*w = -15*i + 14*i - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1372 + 1401. Is 29 != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v + 90. Suppose 0 = -0*o + 2*o - 4. Suppose 0*q + v = o*q - h, 30 = q - 2*h. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*o + 160, -4*k + 16*o - 13*o = -135. Let t be 1 + (0 - 88\/(-3)). Let h = t - k. What is the closest to -0.1 in 3, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7710433, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*m**2 + 1710*m - 15531.\nAnswer: -3*(m - 31)*(13*m - 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100101111?\nAnswer: 100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 27*t + 23. Let i be h(26). Let d = 0.035 + 0.265. Let n = 0.1 + 17.9. Which is the third biggest value? (a) i (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -57. Let y = 3 + -3.8. Let c = 3.8 + y. What is the smallest value in c, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 8*l - 8. Let d be k(-34). Let c = 912 + d. Suppose 5*m + 3*z = 46, 0 = -4*m + 5*z + 11 + 48. Calculate the remainder when c is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50749 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 48, 635, -5, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2343.55535 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.27 - 0.27. Let u = 3.2 - 0.2. Sort u, -0.1, g.\nAnswer: -0.1, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 507*g + 1020. Let t be v(-2). Solve -2*i + 3 = -y, 2*y = -4*i + t - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 + 387*l**2\/4 + 69243*l\/2 + 136922.\nAnswer: -(l - 614)*(l + 4)*(l + 223)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2548)\/(-130) + (-2)\/(-5). Let o be (-3 - 3) + n - 2. Let w = 27 + -15. What is the greatest common divisor of o and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-3 - -6) - -1) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 21. Let i be g(14). Suppose 0 = -3*y + i*y. Suppose -c - 11 + 38 = y. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 41204 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 9*w - 31 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -252339\nAnswer: -5\/252339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 6) + 0 + -5 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 417819737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 + 94*m**2 - 94*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/12)\/((-4)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(75))\/(sqrt(4) + sqrt(4) + (sqrt(36)\/sqrt(3))\/sqrt(3)).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -23*k + 17. Let u(x) = -8*x + 6. Let m(j) = 6*d(j) - 17*u(j). Let i(l) = -33*l**2. What is m(i(y))?\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53\/267 + -269833\/1869. Let o = z + 145. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Suppose 5 + 7 = -4*t. Sort m, t, 0.1 in decreasing order.\nAnswer: 0.1, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/3321367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*a + 415385 = 2*a, -3*j - 4*a - 311500 = 0. Round j to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13975373*a**2. Let b(y) = -3*y**2. Give b(s(k)).\nAnswer: -585933151467387*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*z + 11 = z, 5*z - 9 = -u. Let o be (75\/(-6))\/u*10. Let b = 179 - o. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -123*c + 105*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 4*c + 5. Let d be a(-5). Find the third derivative of d*z + 4*z**4 - 10*z + 4*z**2 wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1673 and 13573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.273 (b) 4514 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40\/387 - 5822\/8901. Let f = y - 18\/23. Let j = 85 + -84.5. Which is the closest to 0.1? (a) j (b) f (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(52) - sqrt(416)\/sqrt(8)) + sqrt(52) - sqrt(52))*5)\/(sqrt(2304) - sqrt(4))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -73.7 and 404.\nAnswer: 330.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*y**2 + 52*y**2 + 54*y**2 - 1 - y**3 + y + 2*y**4 to the form l*y**2 + a*y**4 + j*y**3 + i*y + x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 2*h - 2*h + (1 + 4 - 4)*(3 + 0 - 1)*(4 - 6 - 30)*(h - 4*h + 2*h).\nAnswer: 67*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -490 + 6372\/13. Let m = 245 - 1718\/7. Which is the second smallest value? (a) m (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/816 and -77\/50.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 minutes after 4:49 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {l: 3, y: 3, q: 2, s: 2, u: 1, h: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24*((-6)\/(-8) - 265\/540). Is 6 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z)*(-3*z**3 + 0*z**3 - z**3).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**5\/40 + z**4\/4 - 3*z**3\/4 + z**2 + 18*z. Factor i(o).\nAnswer: -3*(o - 3)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38851 + 19395 + 19456 - 929*s**2.\nAnswer: -929*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/8 + 2*j**3\/3 + 4*j**2. Differentiate k(d) wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 131977, 131979, 131981, 131983?\n\"Answer: 2*a + 131975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuyuuhlulhlul. Give prob of picking 2 l, 1 u, and 1 h.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36000 and -3115.\nAnswer: 32885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.24 - -0.24. Which is the smallest value? (a) 2 (b) -0.5 (c) n (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.003, 60.6, 5?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58178 rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/189 and -109\/42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 4*v + 0*v - 2*v + v + 3*v + (0 - 2 + 0)*(v - v + 2*v) + v - 2*v - v + ((-10*v + 15*v - 76*v)*(-1 - 2 + 1) - 4*v - 12*v + 4*v)*(1 + 3 - 3).\nAnswer: 124*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 18 + 5 + -9. Solve -a*m + 14*m - 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**4 - 523*f**2*q - 692*q - 1 wrt f?\nAnswer: -12*f**3 - 1046*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y - 20. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 167.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 314 and 4085297.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 2.9. Let u = z - 2.9. Let f = 3609 + -3615. Which is the second biggest value? (a) -4 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + 8 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 963028?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 611*a - 220. What are the prime factors of y(33)?\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2554553\/55 - -46444. Let m = 13\/5 + p. Which is the nearest to m? (a) -4\/9 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -264 + 266. Solve -c = -h*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 120001100201100202?\nAnswer: 120001100201100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i + 414*i**5 - 341*i**5 + 4 - 7 wrt i.\nAnswer: 1460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9493 = -3*l + 9499 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22933*u**2 + 91735*u**2 + 8*u - 2*u - 22939*u**2 - 22937*u**2 - 22934*u**2.\nAnswer: -8*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((7 - 3) + -1)\/((-1)\/(-1)). Suppose r*d + 1007 = 2*c, -2*c = c - 4*d - 1513. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/16 of a hour?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6535827?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*(25 - 24*t - 25) + (2 + 1 - 1)*(-1 - 4*t + 1) to y*t + z and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26085180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7365423 nanometers in kilometers?\nAnswer: 0.0000000000007365423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.75 + -0.25. Let q = -828 - -830. What is the third biggest value in w, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28520, 31105, 33690, 36275, 38860?\n\"Answer: 2585*j + 25935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/12 and 43\/1970.\nAnswer: 11820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -671 + 521. Let l be ((-257)\/(-2))\/((-1)\/(-2)). Let s = l + h. Calculate the remainder when s is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44030 + -171?\nAnswer: 43637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-312)\/(-546)*(-14 + 0). Sort m, -6, 5, -5.\nAnswer: m, -6, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 5. Let x(q) = q + 5. Let b(p) = -6*t(p) + 5*x(p). What is b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmb when three letters picked without replacement from rlkbbkrmbrrrnk?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13143\/62 + -212. Let q = u + -117\/434. Which is smaller: q or 12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 times 54.13185\nAnswer: -1.89461475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 3*p - 27. Let u be t(-9). Suppose -l = -3*v - u, l - 32 = -l - 5*v. Calculate the greatest common factor of 126 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27457 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001102 to 7 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 100*k + 15. Let a(m) = -14*m - 3. Let f(s) = 31*a(s) + 6*i(s). Let r(j) = 6*j. Calculate r(f(h)).\nAnswer: 996*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6455*b = -6454*b + 8 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*27\/540*(18 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/3)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.1, -1, -2, 0.3, -1.3, 5 in ascending order.\nAnswer: -2, -1.3, -1, 0.3, 5, 7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q**2 - 2*q**2 - 9*q**2 + 0*q**2 + 5 - 4*q. Calculate r(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 3 - 9)*(2 + 0 + 0)*(-8 + 12 - 6 - 50*g) + 4*g - g - 2*g as z + l*g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80069 < 80065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4176\/84)\/12 - 4. Let u = -24.1 + 25. What is the third biggest value in 2, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**4\/8 + w**3\/3 + 8*w**2. Suppose 2*s = 13 - 3. Let a(l) = -l + 1. What is s*a(g) - 2*n(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 91 - 435?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1912)\/3 - (-4)\/(-6). Let l be (52\/(-8) + 7)*51058\/40. Let s = b + l. Calculate the common denominator of s and 57\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4243, 4061, 3855, 3625, 3371, 3093, 2791?\nAnswer: 2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r - 42. Calculate n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + h)*(-5*h**2 + h**2 + 3*h**2) - 2*h - h - 5904*h**3 + 5899*h**3 - 2.\nAnswer: -6*h**3 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 370, -26057, -2 in increasing order.\nAnswer: -26057, -4, -2, 5, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/sqrt(2) + sqrt(35)\/sqrt(7) + 1 - (3*sqrt(45)*1)\/(sqrt(9) - sqrt(81)\/sqrt(36))) + -3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/805 and -85\/4595262?\nAnswer: 22976310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2130\/213*3\/10. Solve -4*b + 13 = -o*x, 5*x + 3*b - 13 = b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*p + 14, 19 - 5 = 2*b - 4*p. Let k be (-2 - b) + -5 + 11. Suppose -3*r + 141 = k*j, 9*r + 99 = 2*j + 6*r. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 4.5. Let u = -70\/153 + 4\/17. Let t = 1183 - 1182. Which is the closest to t? (a) d (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -74\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -b - 3*d, 40*b - 42*b = -3*d - 121. What is the greatest common divisor of b and 7493?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/16)\/v**(-6\/5))**(-8) assuming v is positive.\nAnswer: v**(-121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468430410?\nAnswer: 2, 3, 5, 7, 17, 131213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/8 - 9\/(-2). Let u = c + -3. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(7*s - 4*s + s) - 4*s + 3*s + 3*s)*(0*s - s + 9*s).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 211\/4. Let n(z) be the first derivative of 1\/3*z**3 - q*z**4 + 0*z + 0*z**2 + 1. What is the third derivative of n(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {t: 4, c: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*x - 22, 5*x - 3*w - 382 = -413 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2235551 is divided by 10595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 - 3*x**2 + 3*x. Let d be o(-8). Is d greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-1 + 6 + 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15648568 divided by 136?\nAnswer: -115063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -918700 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhmghfgmhhfhmh. Give prob of picking 2 g and 2 m.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 + 1361\/5. Let d = 7\/15 + o. Which is the second biggest value? (a) -0.2 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3306 (base 11) to base 4.\nAnswer: 1010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**2 - 1567*z + 2992. Calculate v(-176).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-15)*3\/2. Let h = 4 - i. List the prime factors of 8\/h + (-2)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 7*o = 66. Suppose -2*s + 5 = 3*g, 6*g - g = -4*s + o. Solve -s*p = -1 + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68088932111 less than -0.1?\nAnswer: 68088932110.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3066)\/11753*23\/(-20).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36309266 and 1596.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46458409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, -4, 1334, 5 in decreasing order.\nAnswer: 1334, 5, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q**3 - q**2 + 36*q - 116. Let r(o) = 7*o**3 - o**2 + 12*o - 39. Let v(s) = -17*r(s) + 6*z(s). Let k be v(-9). Solve 22 - k = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/32 + 275\/44. Put 150, -1, q in decreasing order.\nAnswer: 150, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1097462\/310 + (-12)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8679078 - 1124.1\nAnswer: -8680202.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:05 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 362 - 18 - 47 + 2*c**2.\nAnswer: 2*c**2 - 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*v = 3*n - 65, 82 = 4*n + 2*v. Let r = 84 - n. What is the greatest common factor of 22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3441 + 1.331354. Round w to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 3*m**2 - 5*m - 4. Is p(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134330 (base 5) in base 7?\nAnswer: -22204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 - 0.02. Which is smaller: 2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6638158209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.4. Let q = 1.1 + i. Let n = -8731.9 + 8732. Which is the nearest to n? (a) 5 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169 + 169. Suppose w*r + 3*r = -2*l + 796, 0 = 3*r - 2*l - 812. Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 38. Suppose 4*t = -8 + 52. Let o(s) = -5*s**3 + 21*s**2 + 11*s - 11. Let v(g) = -g**3 + 4*g**2 + 2*g - 2. Give p*o(k) + t*v(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/493 and -12\/1769.\nAnswer: 30073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*d + 10 - 17 = 0, -4*r + 3*d = 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1339 and -9602.\nAnswer: -12857078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/3 - 145. Let a(z) = 8*z. Determine a(m(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 + -69.05. Let v = 69.3 + b. What is the nearest to 1 in -0.5, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, s: 1, e: 1}. What is prob of sequence ppse?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let i = f - -38. Let j be i\/(-6)*18\/(-15). Solve -3*s + j*s + 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + o + 1)*(-2*o**2 + 2*o**2 + o**2) + 3*o**3 + 0*o**3 - 2*o**3 + 152*o**3 - 280*o**3 + 306*o**3)*(-o**2 + 3 - 3).\nAnswer: -180*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -18. Solve 4*o - 1 = -r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 12*k - 4. What is a(8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020 (base 3) in base 7?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let d(u) = -10*u - 8. Let z = -10 - -3. Let f(y) = 9*y + 7. Let s(p) = z*f(p) - 6*d(p). Calculate s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) -29813 (c) -1\/6 (d) -1 (e) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17371*v + 17371*v - 2 - 21*v**3.\nAnswer: -21*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8016 and 498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.14, 5, -1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5808*d - 19570 = -3851*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 600*o - 1. Let t(u) = -63*u + 2. Calculate g(t(y)).\nAnswer: 3969*y**2 + 37548*y - 1197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1970956 and 12644?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 7:36 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4149 and 29?\nAnswer: 120321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**43\/(f\/((f\/((f\/(f**(-1)\/f))\/f)*f)\/f)*f**(1\/8)) assuming f is positive.\nAnswer: f**(293\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1, 14, 60, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57674604*l - 81973.\nAnswer: 57674604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 9*t - 29700. Let z be (-2720)\/t - (-4)\/22. Let u = -16\/27 + z. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:32 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/2))\/t*t*t\/(t*t**(-2\/9))*(t\/(t\/t**1)*t)**(8\/7))\/((t**(-1)\/t)**(3\/17))**18 assuming t is positive.\nAnswer: t**(20051\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/3 + 2240*b - 2216515\/3.\nAnswer: -5*(b - 763)*(b - 581)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19690*g**3 - 22811*g wrt g?\nAnswer: 118140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 28. Let s be 297\/w*52\/6. Let x = 118 - s. Solve 4*b + 5*r - 5 = 0, 0 - x = 4*b - r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 3*a**5\/20 + 2067*a**4\/8 + 158010*a**3 + 36024900*a**2 - 146004000*a + 510. Determine c so that f(c) = 0.\nAnswer: -460, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232012012223 (base 4) to base 3.\nAnswer: -211201220121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/60 - 34*d**3\/15 - 69*d**2\/10 - 1274*d. Factor x(p).\nAnswer: (p - 69)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/21)\/((-47)\/(-141))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 85291311?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = -5*l, 6*a + 15*l - 18*l + 9 = 0. Let i(o) = -o**3 - 7*o**2 - 7*o - 7. Let t = -4 + -2. Let j be i(t). Sort j, a, -10 in decreasing order.\nAnswer: j, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 2, -2\/11, -1\/15, -0.027?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -829\/2 - -406. Calculate the common denominator of (58\/9)\/2 + 1 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/4)*t*t)\/(t*(t*(t*t**(-3\/2))\/t)\/t)*(t*t\/(t*(t\/(t*t\/(t*(t*(t\/t**(-3))\/t)\/t)*t))\/t)*t)\/(t*t**(-5\/4)) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -3, 1\/307, 14, 0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7804350338?\nAnswer: 2, 3902175169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3*f - 12, -5*y = 14*f - 13*f - 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.7506 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 8 = 2*q, 10*p - 5*q + 35 - 5 = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000293 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, j: 1, k: 7, u: 1}. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + 3 + -5 - 3. Let n(k) = -2*k**b + 0 + 38*k**3 + k - 39*k**3 - 3. Give n(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -49*i - 35. What are the prime factors of z(-9)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 2*n - 2*h - 16, n = 2*h. Suppose n*p - 2 = 2*t, -7 = -4*t + t + p. Suppose r + z + 68 = 0, -t*r - 200 = -0*r + 2*z. Round r to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -3.9. Let j = 2.85 + n. Which is smaller: 2\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4823*p**5 - 5293*p**2?\nAnswer: 289380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 4. Let h be -9 - -6*(-4)\/(-8). Let k be (-404)\/h + (-2)\/(-3). Let q be k\/(-18) + (-4)\/18. Let d(v) = -3*v - 5. What is q*t(g) - 3*d(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**8\/2688 - y**7\/84 - 57*y**6\/320 - 233*y**5\/240 - 133*y**4\/48 - 9*y**3\/2 - 1018*y**2. Factor j(a).\nAnswer: (a - 27)*(a + 1)*(a + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20190, -40416, -60642, -80868, -101094?\n\"Answer: -20226*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 223*j - 52. What is the units digit of a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**2 - 680118*s + 680121 = 0.\nAnswer: -226707, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-9 - 5) + (12 - (7 + -13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 6:24 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 113843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z\/(z**(-6\/19)\/z))\/z)))**11 assuming z is positive.\nAnswer: z**(275\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 2:34 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/36)\/(84\/108*(-3)\/(-2))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/18 - (-5)\/(-2)) + 6. Suppose 0 = -4*k - j + 3*j + 346, g*k - 3*j = 341. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9716562059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -9\/670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 109. Is a at least 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/16)\/((-34)\/680).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 15) to base 10\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwzzzzhpzzphhz. What is prob of picking 2 p, 1 z, and 1 h?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 3. Let r(h) = -h**3 - 8*h**2 - 5*h - 130. Let j be r(-9). Let w(u) = -u + 2. Let m = 22 - 25. Determine j*w(f) + m*o(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 15*a + 0 - 13*a**2.\nAnswer: -13*a**2 + 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y + 36 = 30*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-247)\/(-39))\/19)\/(2 - (-6682)\/(-3342))?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + -533. Let c = l + 1199. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2588778 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.3 - 10. Let g = a + 0.7. Let s = g + -12. Sort s, -3, -0.3 in descending order.\nAnswer: -0.3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -211, -233, -235, -211?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 31 - 4 = -3*l, -5 = l. Let w = 5 - m. Let i(s) = 2*s + 1. Let t be i(w). Let r(y) = -3*y**3 + y + 1. Calculate r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-806)\/(-28))\/(11882\/6398)\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -17 - 13*z + 34 - 8 - 16*z**2. Let t(d) = -4*d**2 - 3*d + 2. Let h(j) = 9*t(j) - 2*w(j). What is the second derivative of h(s) wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/132 and 107\/10319736?\nAnswer: 113517096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 772229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l - 1. Let b(s) = -15*s - 55. Let g be b(-4). Let q(p) = 2. Let i(n) = 4*n - 9. Let k(f) = g*q(f) + i(f). Determine 3*k(j) + 2*v(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -122*w + 120. What is the tens digit of o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 - 4*v**4 - 2*v**4 - 5 + 5 + 6*v**4 - v**4 + 3*v**4 - v**4 + (-1 + 1 - v**4)*(4 + 2 - 4) - 5*v**4 + 5*v**4 - v**4.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -0.1, 0.2, 0.3, 5 in descending order.\nAnswer: 5, 0.3, 0.2, -0.1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(117) - (sqrt(117) + 1)) + 0 - (sqrt(117) + (sqrt(117) - (sqrt(117) + 2)) + 1))**2 + 3*(sqrt(117) + (sqrt(117) - -4*1*sqrt(117))**2).\nAnswer: 9*sqrt(13) + 8887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 158939161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2530510 rounded to the nearest ten thousand?\nAnswer: -2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*v + 1363 = -86255, 0 = 5*w - 5*v - 87650. Suppose -9*x - 37*x + w = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 25, -3*c - 121 - 50 = -m. Calculate the remainder when m is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 35*b + 41. Suppose -6*h + 9*h + 63 = 0. Is s(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 28*w**2 - w. Let n(a) = 540*a + 2. Give r(n(q)).\nAnswer: 8164800*q**2 + 59940*q + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*m**3 + 9\/4*m + 0 + 3*m**2 = 0. Calculate m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 34*b**3 + 3*b**2 + 4*b + 2. Let x be k(-1). Is 8 a factor of (440\/x)\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(7 - 4 - 8)*(4*z**2 - 4*z**2 - z**2 - z**2 + 8*z**2 + 2*z**2 + (2 + 2 - 2)*(-z**2 + 4*z**2 - z**2)).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5312101 * -15\nAnswer: 79681515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 - 83. Let v be 1\/2 - (-893)\/(-1178). Let y = v - -1\/124. What is the closest to y in b, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5485, -3 in descending order.\nAnswer: 5485, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5622 + -3302. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.1. Let r = -6 + 1. Let i be 2*4\/(-24)*3. Which is the closest to i? (a) w (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -305 + 411. Suppose -q*c + 97*c + 4239 = 0. List the prime factors of c.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*9.9.\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9966)\/(-2718))\/(3 + 50\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 26*a**2 - 51*a + 41. Let d be l(-24). Let r be d\/((5\/((-20)\/(-6)))\/150). What is r rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62305 divided by -2387?\nAnswer: -62305\/2387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 28*x - 63*x + 4*x**3 + 2*x**2 + 19 + 34*x. What is the tens digit of f(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -44. Suppose 0 = v*o - 703 + 100. What is the greatest common factor of o and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 23.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.008? (a) 0.02 (b) -0.057788 (c) 3 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5 - 952*c**4 + 68808*c**3 + 10586240*c**2 + 247308800*c = 0.\nAnswer: -40, 0, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220 + 0?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6)*(2 + -6). Let x be 1\/(-6) + 4\/t. Suppose 0 = -4*j - 0*j. Which is greater: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-27) + 116\/6. Let s = -15 + z. Suppose -a - 5*m = s*a - 312, 4*a + m = 296. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000375496041 rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -19. Let y = q - 23. What is the biggest value in 1\/9, y, -2\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5636 (base 9) in base 3?\nAnswer: -12201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5 + 595*h**4 - 7491*h**3 - 372343*h**2 - 719828*h - 355572 = 0.\nAnswer: -18, -1, 34, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -285 > -44064\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/591 - -3207\/788. What is the common denominator of b and 47\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4 + 2966*c**3 + 2829677*c**2 + 849974248*c - 2575470000 = 0.\nAnswer: -1172, -625, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 581909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-14)\/(-42)*(-4)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447354650 rounded to the nearest 100000?\nAnswer: 1447400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(27\/(-54)*2\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2*m - 11. Let c be j(-5). Suppose -4*b - 44 + c = 0. Let q be -1 - (b\/(-6) + -2). What is the closest to -0.1 in -5, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -261 - 20176?\nAnswer: -20407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000085835 to seven decimal places.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*m - 160*m - 375*m + 2125*m - 544*m - 4.\nAnswer: 784*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5316*c**3 - 471*c**2 wrt c.\nAnswer: -31896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + 3)*3\/(-9). Let g(c) = -7*c - 13. Let s be g(b). Solve -2*h + 2 = j, -3*j - j - 2*h + s = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (0 + 0 - 5) - (724 + -729)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -29.3, 1\/2?\nAnswer: -29.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, 134, -4\/5, 23, -96?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2399 + 709 = 845*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 2920781480611.\nAnswer: 2920781480611.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 2724?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 n, and 2 d when four letters picked without replacement from fddofdfddnoofoo.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -127257, -1, 3.\nAnswer: -127257, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2180 = -6*q, 4 = 6*q - 7*q. What is the highest common divisor of r and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 + 24*u**3 - 13*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 4*j - 10 = 11*z, -10 = 2*z - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 11:52 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3.4, 5, 1\/3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -68.\nAnswer: 33\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -102 in -0.3, 0.2, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7496, 15030, 22550, 30056, 37548, 45026?\nAnswer: 52490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 84. Suppose -3*b + m*i - 4*i + 53 = 0, 2*b = -5*i + 31. Solve 9 = 2*k + 2*r - 5, -4*k + b = 2*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5356, -10750, -16144, -21538?\nAnswer: -26932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47\/(-5) - 6\/(-15). Let c be 1*(u + 0) - 0. Let w = c - -21. Solve 3*a = 2*m + 7, -w = 2*m - 3*a - a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.104 and 0.037.\nAnswer: 0.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8450 to the nearest one hundred.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5 = 4. Let q be -862 - (-3 - (n + -2)). Find the common denominator of (-18)\/(-30) + q\/165 and 8\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 1\/80*w**6 - 1\/448*w**8 + 0*w**7 + 0 + 0*w - 1\/32*w**4 + 0*w**3 + 3*w**2 + 0*w**5. Factor o(k).\nAnswer: -3*k*(k - 1)**2*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144572892 rounded to the nearest 100000?\nAnswer: 144600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137401, -273482, -409563, -545644?\nAnswer: -681725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*b - 3*b = 9, -3*m + 4*b = 6. Find the common denominator of (-282)\/(-45) + 4\/m and 8\/28 + 400\/(-77).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5037827 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18859, -37720, -56581?\n\"Answer: -18861*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*v + 932, -z - 4*z - v + 1153 = 0. Suppose -270*k + 13356 = -164*k. What is the greatest common factor of k and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7.97. Let y = 198.47 - 198. Let q = y + t. What is the third biggest value in 2\/5, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 66.74. Let p = -4.26 + g. Which is smaller: p or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = -4. Suppose k*s = 76 + 11. What is the common denominator of (-486)\/12*(-2)\/(-6) and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -102.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*c - 6*c - 2*c**2 - 12*c in the form b*c**2 + q*c + w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65645811, -65645813, -65645815?\n\"Answer: -2*x - 65645809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 293*f**4 + 590*f**4 - 2*f**2 - 1 - 13*f**3 - 298*f**4 in the form q*f**4 + v*f**2 + i*f + h + n*f**3 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11 + 2*n - 8*n - n + 7*n**2. Suppose -3*f = 2*f - 10. Let c(b) = -b + 8*b**2 - 10*b**f + 3 + 3*b. Determine 22*c(d) + 6*g(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 g when four letters picked without replacement from {d: 8, o: 9, g: 2}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6628 divided by 2\nAnswer: -3314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*p + 153*p = -5. Suppose 89 = p*j - d - 30, 3*d + 12 = 0. Let w be -4*23*(0 - 1). What is the greatest common factor of j and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 20. Suppose -2*x - 11 = -3, 0 = m + 3*x + 12. Solve a = f - m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162254 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 326817812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13458054?\nAnswer: 2, 3, 43, 52163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 738 = -243. Let d = n + -412. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2778 = -180*q - 110*q - 8242 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18222118.\nAnswer: 2, 23, 479, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 4) to base 10.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232 + 4?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50074117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 11:04 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in -1.78, 0.05, -1.1?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.1, 17972, 3\/4, 4\/3, -5, -1, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, y: 2, k: 6, m: 2}. What is prob of sequence ekme?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1940\/18915)\/((-8)\/(-18))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 2 (b) 0.5 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 520 = -4*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -467, -5, 2, 0.3, 16\/7 in decreasing order.\nAnswer: 16\/7, 2, 0.3, 1\/4, -5, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1891084 divided by -1774\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 1674208.\nAnswer: 8371040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 9*r**2 + 12*r - 3. Let i be u(8). Let c = -21 + i. Let v(q) = q**2 - 6*q - 4. What is the remainder when 23 is divided by v(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 17. Let z(v) = -4*v + 4 - 7 + k. What is z(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1116 = 33*b - 27*b. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-18)*57\/38?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 13. Let y be b(11). Let u be 2*(1\/y - -2). Suppose -u*s + 604 = 220. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*r + 83*r - 490*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gqqgqgqgggqgg.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (2\/(-19) + (-3653)\/494). Let 1\/6*t**3 + l*t**2 + 1\/3*t + 0 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.172 - 1.172. Let i = 3.3 + -6.6. Let z = i - -4. What is the closest to 2 in c, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424440847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -29. Is 10 a factor of r\/(-5) - ((-168)\/30 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(4*b - b + b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/3*(-6)\/4. What is the remainder when 20*1*(-5)\/o is divided by (-18)\/4*((-32)\/12 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (868\/(-6))\/7*(-36)\/(-864)*-12?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**2 - 3539*q - 46699. Calculate z(406).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.000759 + 0.049235. Let z = -0.25 - -0.3. Let k = z - g. What is k rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.442295 litres in millilitres?\nAnswer: 6442.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25133.954 - 25160. Let q = -0.046 - -26.046. Let w = u + q. What is w rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 28*c**2 - 16*c. Let r be f(-14). Let b be ((-14)\/(-4) + -1)*r. Round b to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**4\/8 - 5*v**3\/6 + 7*v**2\/2 - 7*v. Let o(i) be the first derivative of u(i). Does 7 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 48 = 10*t. Let x(k) be the third derivative of -2199*k**5\/5 + 5*k**4\/24 - k**3\/3 + 3*k**2. Let d be x(t). Round d to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -169? (a) 5 (b) -2 (c) -0.5 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18505.7 + 18507.40891. Let k = z + -0.6087. Let s = -1.1 + k. What is s rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 934919, 934899, 934879, 934859, 934839?\n\"Answer: -20*i + 934939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 3*q - 4*q**2 + (-7*q**2 + 38*q**2 + 9*q**2)*(3 - 3 - 2).\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 6*v**2 - 7*v + 2. Is 20 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-693)*(-1120)\/320.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*x + 2. Suppose -x*m + 4*h = -16, -4*m + 33 - 7 = -3*h. Let k be 0 + m\/(-3)*-3. Solve -i = -t + k, -10 = 2*i - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - -14) + -9 + (11 - 12) + 12.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/(-6) - 4\/(-6). Let q = 0.028 - -0.092. Which is the smallest value? (a) -5 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8589, -34129, -76695, -136287, -212905?\n\"Answer: -8513*u**2 - u - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - y. Let l(w) = -4*w**4 + 4*w**2 - 10*w. Let u(z) = 20*h(z) - 2*l(z). What is the third derivative of u(k) wrt k?\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 6)*3*(-1)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 2 + 4*d - 4*d + (0 - 4 + 3)*(0*d**2 - 3*d**2 + 2*d**2).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + ((sqrt(77)*1 - sqrt(77) - sqrt(77))*-2 - sqrt(77)))*4)\/(sqrt(44)\/(sqrt(16)\/sqrt(4))*-2).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let i(v) = -21*v**2 + 49. Let x(a) = -2*a**2 + 5. Let b(z) = 5*i(z) - 49*x(z). Calculate n(b(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, j: 4, l: 1, x: 7}. What is prob of sequence kljk?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byeyebebeyebe. Give prob of sequence bb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*i + 1, -8*i = 3*b - 13*i - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448002 and 1344006?\nAnswer: 1344006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43763775?\nAnswer: 3, 5, 11, 53047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.064, 31, 0.4 in descending order.\nAnswer: 31, 0.4, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2, 600.57, -5, -2\/9, -353?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(sqrt(18)\/sqrt(6) - sqrt(3) - sqrt(3))**2 + 5 - (-3 + -6*((sqrt(6) - (sqrt(18)\/sqrt(3) - sqrt(6)))\/sqrt(2))**2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-34480)\/36)\/(-10) + -94\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-57)\/(-30))\/((-6)\/783489). Let z = -13052 + p. What is the common denominator of z and 77\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1510 and 32974?\nAnswer: 24895370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:18 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 62429.\nAnswer: -68671.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 - 2*z + 11*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17122 or -17246?\nAnswer: -17246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2 - 4)*(-k - k - k)*(1 + 1 + 2).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(448) - (5 + (sqrt(7) - -1*sqrt(7)))) + -5)*-3.\nAnswer: -42*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*t**3 + 27*t**2\/2 + 57*t\/2 + 9 = 0. Calculate t.\nAnswer: -3\/5, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 1:42 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-6)*-1 - 3 - (74 + -71)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1.8, 8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4408 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - -101. Let t = z - 160. Let y = 603\/14 + -85\/2. Which is the second biggest value? (a) y (b) t (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -23*k**3 - 2*k**2 - 5*k - 5. Let d(x) = -2*x**2 + 40*x + 40. Let o be d(21). What is the units digit of n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76902361 to the power of 1\/2, to the nearest integer?\nAnswer: 8769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from yyyzzzyzzyhyzyyzzyyy?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -1123.047\nAnswer: -1123.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b86a96a - -2?\nAnswer: 6b86a96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + (5 - (2 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -89. Suppose 5*q + s = -5*o + 9*o, -4*o - 2*q = -22. Solve o = 8*d - 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82511 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k*o**3 - 3*k*o**2 + 2*k*o - 31*k + 4756*o**5 + o**2 wrt o.\nAnswer: -24*k + 285360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o**2 + o + 7. Let g(v) = 5*v**2 - v - 4. Let u(m) = -m**2 - 14*m - 4. Let s be u(-14). Calculate s*b(i) - 7*g(i).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -17, 6, -2\/189, 2?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261 (base 15) to base 14.\nAnswer: 2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 26, 40, 54?\n\"Answer: 14*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 49*h**2 + 215*h + 169. Give z(-53).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in 0.3, -2, 2\/5, 101\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Let a be (5\/(-10))\/((-1)\/2). Suppose -4*h - 35 = -5*w, w - a + z = -h. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 14) + 6 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:24 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 4\/(-22) - -1. Let q = r + -5\/33. Suppose 5*g - u - u - 35 = 0, -4*g - 4*u = 0. Which is the smallest value? (a) g (b) q (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679510 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29211403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 6*v - 273. Let b(a) = -a + 2. Determine -4*b(o) - l(o).\nAnswer: -o**2 - 2*o + 265","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 242*o*t**3 - 35*o*t + 4*t**3 - 10895*t wrt o?\nAnswer: 242*t**3 - 35*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 5674*w**2\/7 + 4460896*w\/7 - 601489928\/7.\nAnswer: 2*(w - 1334)**2*(w - 169)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {u: 1, o: 6, t: 1, v: 3, a: 2, s: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4335540 (base 6) to base 8.\nAnswer: 644124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165101?\nAnswer: 107, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 24 (c) -8 (d) 0.3 (e) -0.5 (f) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d - 16d0?\nAnswer: -16ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 162. Let t = -112 + g. What is the hundreds digit of (-3*(-53)\/2)\/(3\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - w + 2*w - 8 - 1. Let l be g(6). Suppose -3*z - 16 = -l*n + 41, -3*n = 2*z - 57. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -3*h**4\/28 + h**3\/7 + 3*h**2\/14 - 3*h\/7 - 13. Factor q(o).\nAnswer: -3*(o - 1)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**13*v*v\/v**7)\/(v\/(v\/(v\/((v\/(v\/v**(1\/3))*v)\/v))))**(4\/19) assuming v is positive.\nAnswer: v**(-977\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.802.\nAnswer: -0.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - f + 20 = 0, 19 = 4*d - 4*f + 3. Suppose 1651 = 5*a + d*l, -44*a + 659 = -42*a + 3*l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2 + 18. Let q = t + 17. Let w be q*99997\/(-1) + -3. What is w rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 16*k + 8. Calculate u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7374 is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + 0*d**3 - 3*d**3 + 52*d.\nAnswer: 2*d**3 + 52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1081140.4238 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 - 3*b. Let t(c) = -2*c**2 - 2*c. Let j(a) = -2*l(a) + 3*t(a). Let x(v) = 32*v**2 + v - v - 19*v**2 - 2. What is x(j(u))?\nAnswer: 52*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 343*x - 42351. Determine y(115).\nAnswer: -2906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9767.417 + 9763. Let n = w - -4.3. What is n rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 5:10 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3186)\/25488*48\/(-130)\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 2. Let h be v(4). Suppose 2*s = r - 3*s - h, 2*r = -3*s - 11. Let a be 8\/(-54)*-15 - 2\/1. Is a at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 - q. Let p(l) = l. Let y be p(-1). Let m(z) = z**2 + 6*z - 34. Let v be m(-10). Let c(d) = d**3. Determine v*c(s) + y*g(s).\nAnswer: s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o + 147 - 1099 = 0. What is the remainder when 40 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(7 + (-2390)\/350))\/((-81)\/(-1512))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -70. Solve -x*c + 2 = -h - 1, 14 = c - 3*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 3*c + 2*n - 78, 0 = 3*c - 4*n - 64. Calculate the lowest common multiple of 14 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 108?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 368, 527?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*2.395683.\nAnswer: 23.95683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2557, -4774, -6991, -9208, -11425, -13642?\nAnswer: -15859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 + 257*o + 12. What are the prime factors of r(-47)?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 2*g - 4*g)*(-5*g - 3*g + 2*g) + 2309 - 315*g**2 - 2309 as o*g**2 + h*g + y and give o.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109934 and 18688780?\nAnswer: 18688780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 3*k - 2. Let j = 3 - 6. Let h = 175 - 172. Let u(g) = 87*g**h - 4*g**2 + 2*g - 88*g**3 + 1 + 5*g**2. Determine j*u(f) - 2*y(f).\nAnswer: 3*f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3840))\/(sqrt(243)*-1*3).\nAnswer: 16*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.06 + -11.06. Let j = 10.00000928 + w. What is j rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 10:32 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-114810\nAnswer: -34443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*3\/(-693))\/((-2)\/12).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.42 - 58.58. Let a = -27.8 + n. What is a rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/33 + (-6)\/33. Let y = x + 3. What is the highest common divisor of y and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.04, 4, -1\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + -8?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 1219*b**2\/2 + 731*b + 857. Find the first derivative of g(d) wrt d.\nAnswer: 1219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*((-170)\/13685)\/((-8)\/14).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/(x\/(x\/(x*x**(-1\/10)*x*x)*x*x)))\/(x*x**(-2\/11))**(3\/32) assuming x is positive.\nAnswer: x**(-839\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 10*o**2 - 210*o - 2063. Calculate a(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(-3*(sqrt(136)*-4 - sqrt(136)) + sqrt(136) + sqrt(136) + sqrt(136) - sqrt(136)))\/((sqrt(40) - sqrt(240)\/sqrt(96))\/(-6*-2*sqrt(5))).\nAnswer: -3264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 22896777\nAnswer: -91587108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 9 + 6\/(-2). Suppose -b*q + 40 = -3*q. What is the greatest common factor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + 0 + 1915)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {w: 3, m: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.10476 + -0.104778764. Round q to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2742*z + 22763 = -2179 - 5548 - 7898 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -20*w**7\/7 + 28*w**3\/3 + 16. What is the third derivative of p(v) wrt v?\nAnswer: -2400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 9) in base 16?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 11, -65?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - -3) + -2 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987.6304 micrometers to nanometers.\nAnswer: 987630.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5))**(3\/16)*(x\/x**(-4))\/((x*x*x**2)\/x))**41 assuming x is positive.\nAnswer: x**(6437\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 7*u**2\/4 + 27*u + 45.\nAnswer: -(u - 15)*(u + 2)*(u + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-6\/17)*s)\/(s**22*s))**(1\/54) assuming s is positive.\nAnswer: s**(-167\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixrqszsqsrzrizzii. What is prob of sequence qs?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 2084.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*z + 8*z = 16, 0 = -3*f - 5*z - 4. Let y = -1923\/4 + 478. Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4*k + 0*k)*(2*k - 1 + 394*k**2 - 3*k - 395*k**2).\nAnswer: -2*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, -1, 1.\nAnswer: -1, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -3 (b) -0.01 (c) 128.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 180*x + 21. Let r(g) = -18*g - 2. Determine -2*h(j) - 21*r(j).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 2*w + 2*w)*(w**2 + 2*w**2 - 4*w**2) + w**3 + 4*w**4 + 0*w**4 - 2*w**4.\nAnswer: 3*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100000011 (base 2) in base 10?\nAnswer: -1795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3497, -3498, -3499, -3500, -3501, -3502?\n\"Answer: -v - 3496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 4, v: 3, p: 1}. What is prob of picking 3 v and 1 p?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 6*o - 2. Let w(i) = -i + 1. Let j(p) = -2*r(p) - 4*w(p). Find the second derivative of j(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 26*k**2 + 25*k + 2. Let l be c(-25). Solve 4*t - 5*w + 29 - 3 = 0, -l*t = w + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1538\/9 + -515\/3. Let r = l + -5\/9. Let o = 2\/227 + -468\/1589. Which is the nearest to o? (a) r (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 1099, 1644, 2187, 2728, 3267?\nAnswer: 3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -514 + 1458. Let g(h) = -947*h + 0 + d*h + 0. Let x(b) = 15*b. What is 11*g(l) + 2*x(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0901*613.\nAnswer: 55.2313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -0.7\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981?\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2888\/1140*30)\/1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 15*s - 1\/30*s**5 - 8\/9*s**3 - 7\/18*s**4 + 16\/3*s**2 + 0. Solve w(n) = 0 for n.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388834839.\nAnswer: 3, 59, 431, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**2 - c**2 - c**2 + (2*c + 2 - 2)*(c + 3 - 3) - c**2 - c + c + 3*c**2 + 3*c**2 - 3*c**2 in the form d + s*c + n*c**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-138)\/39 + (-36)\/78. Let n = 0.06 - -0.04. Let p = 69 + -70. What is the nearest to p in k, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33126 + -4?\nAnswer: 33122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7097*r + 12346*r - 1.\nAnswer: 19443*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 42.04623 and 0.8992.\nAnswer: 42.94543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-4) + -6 - 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605) + (-1 + sqrt(605))*2 + sqrt(605))) + -4 + 2 + sqrt(605) + -5.\nAnswer: -22*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2728 - 1?\nAnswer: 2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-3) + (-2)\/6. Suppose -2*v - 2*v - 5*x = 45, -5*v - b = -4*x. Let j(t) = -t**2 - 8*t - 1. What is the remainder when 40 is divided by j(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44895486*k**2 + 10984227 with respect to k.\nAnswer: -89790972*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4520?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158\/(-395) - 36\/35.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 2245446.\nAnswer: 17963568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179170641847\/2128 + -84196727. Let l = -1\/266 + j. Calculate the common denominator of -81\/32 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172460678 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -395? (a) -717 (b) -5 (c) 1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/14430 and 173\/32190.\nAnswer: 418470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -5, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32702 is divided by 244.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**3 + 24*z**2 + 33*z - 54 = 0.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 17 = 5*w, -2*w + 9 - 23 = -4*c. Let d be (w*-12)\/(-2) - 228\/57. Solve 5*h - 27 = -4*y, d*y - 21 = -4*h - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 356?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -718 divided by -12\nAnswer: 359\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from rxbmc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7\/6)*p**(1\/23)*(p**(-7\/8))**(-1\/58) assuming p is positive.\nAnswer: p**(-35477\/32016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470, -1890, -4258, -7574?\nAnswer: -11838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/(126\/(-24)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -11\/210*b**7 + 0 + 5\/6*b**4 + 0*b**5 + 0*b**6 + 0*b + 5*b**2 + 0*b**3. Find the second derivative of g(v) wrt v.\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29 + -547.04877.\nAnswer: -547.33877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3\/7*j**3 - 132\/7 - 45\/7*j**2 - 144\/7*j = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -8. Let m(k) = -k**3 - 8*k**2 - 6*k + 8. Let r be m(n). What is the units digit of ((-12)\/(-18))\/(r\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 + 2*u - 2. Let c be m(2). Suppose -c*o - 2*z - 9200006 = 0, 2*o - 3*z = z - 9199988. Round o to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0 + 0*f**2 + 1\/3*f**3 + 5*f + 1\/4*f**4 + 1\/20*f**5. Factor q(y).\nAnswer: y*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223791 is divided by 55296?\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 54, 7, 2428.\nAnswer: -3, 5, 7, 54, 2428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 2*l**2 - 9*l - 5. Let f(z) = z**3 - z**2 + 3*z + 2. Let n(v) = 6*c(v) + 17*f(v). Let p be (2\/3)\/(20\/(-120)). What is n(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*i = -18*i - 4583880. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1012, 53, 3650, 11045, 23504, 42293?\n\"Answer: 211*t**3 - 412*t - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 - -1))*(-2)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399789?\nAnswer: 1399789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4540 + -4471.46. Let v = k + -67. What is v rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0 - 1\/12*j**5 - 2*j**2 + 5\/12*j**4 - 5\/6*j**3 + 0*j. Let q(i) = 0. What is i?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -320598, -317296, -313994, -310692?\n\"Answer: 3302*k - 323900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.218 - 14.118. Let i be -5*(1 + (-8)\/5). What is the third biggest value in i, -4.1, w, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 + 9*s**2. Suppose 4*v - 9 = 7. Let p = 18 + -15. Suppose p*y + 12 = 0, 0*u + 5*y - 7 = 3*u. Let o(b) = b**3 + 4*b**2. What is u*o(j) + v*w(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 47*q**3 - 11*q**2 - 3*q - 15. Let g(o) = -23*o**3 + 6*o**2 + 2*o + 8. What is -11*g(r) - 6*m(r)?\nAnswer: -29*r**3 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2619305 tonnes in nanograms?\nAnswer: 261930500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a - 1125 + 1261 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -39 (b) 0.02 (c) 1 (d) 6 (e) 0.5 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -17, -9, 13, 55, 123?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -357.\nAnswer: -142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -1737 - 1311. List the prime factors of z.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100110110101011000?\nAnswer: -100110110101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 6892831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {p: 6, u: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i**2 + 5*i + 79. Let z(q) = -2*q**2 - q. Suppose 4 = 2*o - 4. Let r(b) = o*z(b) + g(b). Differentiate r(s) with respect to s.\nAnswer: 16*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Let u(l) = -2*l + 4*l + 4*l + 6*l. Determine u(n(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/420 + -3\/28. Suppose r - 4*p + 1 = 0, 0 = 2*r - 4*p + 5 - 3. Which is the closest to 2\/5? (a) 5 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 3. Let x(o) be the first derivative of o**2\/2 - o + 6. Determine p(v) - 2*x(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 6. Let g = -129 - -129. Let x be a(g). Sort 0, 1, 4, x in decreasing order.\nAnswer: 4, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -2 + 0 + 16. Let x(o) = o**2 + 16*o - 118. Let d be x(-24). Suppose d = -j + 4*j + 5*n, -j = 5*n - w. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 11\/2*f**2 + 1\/6*f**3 + 0 - 2*f. Let q be h(-8). Solve -10 = -q*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/11 (c) 0.05 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 41*j**2 + 79*j + 43. Let h be v(-39). Solve -a - 20 = h*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 81 = 311*y - 235, 2*y = 2075*j - 2077*j + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/9 - (1 - (-211)\/(-1)).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -476 - -564. Find the first derivative of -2*t + a + 2*t - 41*t**2 - 88*t**2 + 42*t**2 wrt t.\nAnswer: -174*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 45.3652\nAnswer: -408.2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624*h - 24 = 612*h. Let j(u) be the third derivative of 5\/3*u**3 - 5\/24*u**4 + 5*u**h - 1\/12*u**5 + 0 + 0*u. Suppose j(q) = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*i**2 + 948*i**3 - 949*i**3 - 47*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 - g**5\/12 - 5*g**4\/24 - 2*g**3\/3 - 35*g**2. Calculate s(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 + 12*a**2 - a - 9. Calculate c(-5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*n + 4527, -4 + 16 = -3*n. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 9*f + 10. Let j be o(8). Let k = 9 + j. What are the prime factors of (-6)\/(-1 + 9\/k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 24 = 2*g, -3*l - 30 = -3*g - 2*g. Let d = l - -24. Suppose 0 = -3*m - 12 + 21. What is the remainder when d is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-10)\/4 + -4. Suppose -2*k = 2*b + b, -3*k + r = 4*b. Let d = k - -45. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0484*0.2\nAnswer: -0.00968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 2, o: 4, i: 5}. Give prob of picking 2 i.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-235)\/(-4) - -3*4\/48. Suppose 4*w = -2*o + 248, 3*w - 189 - n = -2*o. Suppose -c + 134 = 2*v, 0*v + 4*c + o = 2*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1. Let f = -169 - -172. Let h(p) = 5 + 1 + 484*p**3 - 1 - 483*p**f - 4. Determine -3*c(q) + 3*h(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(180)*2 + sqrt(180) - sqrt(180)))**2 + -1 + ((sqrt(180) + 2*sqrt(180))**2 - sqrt(180)).\nAnswer: -6*sqrt(5) + 19619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 7*h - 2*h. Suppose 2 = -b + 6*j - 3*j, 2*b = -h*j + 40. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 634 = 2*u, -970 = -5*d - 4*u + 90. Suppose 2*n = -2*v + d, 3*v - 3*n = v + 183. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126547722 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1976, 1, 0, -6, 25 in ascending order.\nAnswer: -6, 0, 1, 25, 1976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 - 5874\/21. Let j be 4\/(-10) - (1056\/(-15) - 3)\/1. Let t be 72\/(-252) - j\/h. Which is the biggest value? (a) -0.1 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*x**3 - 56*x**3 + 281*x**3 - 59*x**3 - 66*x**3 - 58*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (958*y**2 + 917*y**2 - 1691*y**2)*((2 - 2 + y)*(-3 + 4 - 3) + 3 - y - 3) + (y - 1 + 1)*(2*y - 2*y - y**2).\nAnswer: -553*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvvqvvvvvvvqqqvvvq. What is prob of sequence qv?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*h + 91*h + 91 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(sqrt(56)\/sqrt(4) - sqrt(14))*-2)\/(6*(sqrt(1372) + sqrt(28))\/sqrt(4)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -17*m**2 + 25*m - 24*m - m**2. Give p(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/(2 + (-249)\/126). Is w >= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24229572 + 2059460748\/85. Let z = -622 - q. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.014 + -0.08. Let i = -5.066 - b. What is the third smallest value in -0.1, 1, 5, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374270749, -1497082974, -3368436675, -5988331846, -9356768481, -13473746574, -18339266119?\nAnswer: -23953327110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 5*r**2 - 7*r + 9. Let a be f(6). Suppose 14 = -a*v + 4*v. Calculate the highest common divisor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3420580, -6841156, -10261732, -13682308, -17102884, -20523460?\nAnswer: -23944036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9810137*n**3 - 160*n**2 - 139*n + 133?\nAnswer: 58860822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4330, -34573, -116660, -276511, -540046?\nAnswer: -933185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let q = -0.9 + y. Let j = -1 - 1. What is the closest to -1 in q, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*s - 111*s + 2*q = 29, 3*s - 2*q + 2 = -37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 15*v - 363. Suppose -20*h + 23*h = v. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 377370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 351, 426, 551, 726?\n\"Answer: 25*t**2 + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + -0.29. Do l and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -673*a + a**3 + 921*a + 2496*a + 374*a + 1639*a - 8978 - 136*a**2.\nAnswer: (a - 67)**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (297\/(-45))\/(2\/(-30)). Is (-18)\/g - (-387)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 311, 1246, 2805, 4988?\n\"Answer: 312*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 4*a - 2, 63*j + 10 = 69*j + a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14. Let j = 8 - z. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 4 = -4*b. Let v(h) = 15*h - 2. Does 24 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c**2 - 112*c + 13. Give o(-10).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 51*-342429\nAnswer: -17463879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2551*h + 13809. Determine g(6).\nAnswer: -1497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(1\/(-6)). Let p(s) = -9 + 1 - 7*s + 3 + z*s. Calculate p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 - 21816*w**2\/11 - 3966*w - 21812\/11.\nAnswer: -2*(w + 1)**2*(w + 10906)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {b: 4, h: 1, e: 9}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.917535077 to 2 decimal places.\nAnswer: 5.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -20816 greater than or equal to -20329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/25 and 63\/295.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -4 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/(p\/(p\/(p*p*(p\/(p**5*p))\/p*p)))*p)\/p)**(-3\/4) assuming p is positive.\nAnswer: p**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 7*i**2 - 12*i.\nAnswer: -i*(i - 4)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1015804*-184\nAnswer: -186907936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.7 - -12. Let v = -2012 + 2008. What is the nearest to 0.1 in v, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482587118 is divided by 1560?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n + 9. Determine g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 + 5*d - 12. Let b be a(2). Solve 2*i - 2*m = m + b, -i + 7 = -m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) + 5\/(-2). Let w be c + 1\/((-3)\/(-6)). Is (w\/1 - 0)*33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2302011302220 + 11?\nAnswer: 2302011302231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 - 153 = -6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*a**2 + 116*a**2 - 233*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 50 times -0.8\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.01194+9.4457125\nAnswer: 9.4576525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 71.6, 1956\/7, -4?\nAnswer: 71.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2866*p = 2860*p + 3*n - 6, 8 = -2*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 3*s**3 + s**3)*(-7*s + s + 4*s + 6*s**2).\nAnswer: -18*s**5 + 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 159535975 to the power of 1\/3, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, b: 5, l: 3}. What is prob of sequence bb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/(2\/6)*56. Let a = j + 61. Suppose 3*r - r - 5*f - 55 = 0, -2*f = a*r - 65. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -26*x**2 + 22*x**2 + 3 - 3*x + 11*x**2. Give i(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 77, 117, 155, 191?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + (2\/1)\/2. Let g = 31 + -18. Suppose g = -5*o + 2*s + 35, -5*s = o + 1. Sort o, h, 0 in descending order.\nAnswer: o, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3))**30)**(-43) assuming f is positive.\nAnswer: f**2580","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, -1\/4, 3, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6*(4\/(-14) + (0 - -1)*(-469)\/(-98))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let n(r) = -2*r - 1. Let k be (78\/9 + -4)*6\/2. Suppose -3*z - 5*p + 26 = 0, 2*p = -0*z - 3*z + k. Calculate z*n(o) + x(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 645 + 645.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4\/2 + 55200*a**3 - 331227*a**2\/2 + 6*a + 220818 = 0. Calculate a.\nAnswer: -36803, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -9204*s**5\/5 + 45*s**2 - 3*s + 1444. Find the second derivative of k(h) wrt h.\nAnswer: -110448*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25589436*x**4 + 56556541*x - 1.\nAnswer: 307073232*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 555.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + sqrt(144)*-1 + sqrt(144) + sqrt(16) - sqrt(1296)*1)\/((sqrt(648) - (sqrt(648) + 1*sqrt(648)*-6 + sqrt(648))) + sqrt(648) + sqrt(648)).\nAnswer: -5*sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 divided by 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 10:48 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116714341669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*g = -10, -g = 16*q - 34 + 66 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -3*t. Let o be -4*(t\/4)\/1. Solve -f - g = 4, 0 = -2*f - g - 6 + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/60 + l**5\/30 - l**3\/6 - l**2. Calculate p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose -3*r = -x*r - 12. Solve -8 = -4*p + r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/(k*((k\/k**(-3))\/k)\/k))**(-43) assuming k is positive.\nAnswer: k**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 2178353 - 2178369 - f**2 + 4356722.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.5 - 12. Let o = 43.2 + -43. What is the smallest value in v, -2\/23, o?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -7, 4, 502 in ascending order.\nAnswer: -28, -7, 4, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = y. Sort -3, -11, y, 0.\nAnswer: -11, -3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/9 - 340\/51. Let v be 19 - (p\/8)\/(18\/(-48)). Solve v*h - 3 = 18*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 609 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9458289.\nAnswer: 3, 38923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 9*a**2 + 12*a - 27. Let z be f(8). Put z, -13, -2 in descending order.\nAnswer: z, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4081 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(1 + (-1)\/(-3)). Suppose 105*l**2 + 148*l - 25*l**2 - 154*l**n - 156*l - 242*l**4 = 0. What is l?\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) + (-144)\/(-63). Suppose -z*i = i - 132. Let f(x) = 109*x**2 + 2*x - 1. Let d be f(1). Calculate the highest common divisor of d and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 - ((-84)\/15 - -6). Solve -4*f - 2 - 2 = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l + 68. Calculate r(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-60*t - 26*t + 9*t).\nAnswer: 154*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182003*n + 288350*n + 90846*n.\nAnswer: 561199*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 2*c**2 + 1. Let v(n) = 89*n**3 + 8*n**2 + 2*n - 5. Calculate -v(s) - 4*z(s).\nAnswer: -93*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2488 + 2540. What is the highest common divisor of i and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7484843616 to the power of 1\/2, to the nearest integer?\nAnswer: 86515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2497653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 0.07422?\nAnswer: 0.17422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -52*m - 1857. What is c(-36)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*-1 - 1*(sqrt(110) + sqrt(110)*-1))\/(sqrt(640) - (sqrt(640) - (sqrt(640) + sqrt(640)*-2))).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14417 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 greater than 671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-57 + 5 - 7)*(4*z**4 - 4*z**4 - 2*z**4) - z**4 + 2*z**4 - 2*z**4 to the form j + a*z**4 + i*z**3 + n*z**2 + v*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Let p be (-18)\/(-14) + 6 + -7. Factor -p*f**2 + 0 + 2\/7*f**z + 0*f.\nAnswer: 2*f**2*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.2. Let h = -302.87 + 299. Let y = -0.13 + h. Which is the third biggest value? (a) y (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 6) in base 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -4*h**3\/3 + 6*h**2 + 40*h - 49. Factor z(t).\nAnswer: -4*(t - 5)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 20*i**2 + 20*i + 30. Suppose 25 = -5*p, -5*h = -5*p + 43 + 37. Is s(h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (960\/30)\/64*-34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 506110, 506093, 506058, 505999, 505910?\n\"Answer: -b**3 - 3*b**2 - b + 506115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680937 is divided by 622.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 923503 and 54?\nAnswer: 49869162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 7*w**3 - 7*w**3 - 2*w**4)*(263*w - 134*w - 134*w).\nAnswer: 10*w**5 + 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:26 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 11*c**2 - 12*c + 48. Calculate o(11).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4334413 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95, 126, 159, 194, 231, 270, 311?\n\"Answer: d**2 + 28*d + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/221 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14864 >= -288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11233 + 111000?\nAnswer: 122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 33 = 37*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 + 2*l - 6. Calculate z(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62932?\nAnswer: 2, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 + 801928*p\/11 + 80386064648\/11.\nAnswer: 2*(p + 200482)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1300*g**4 + 825*g**2 + 122 - 44 - 77 wrt g.\nAnswer: 31200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b2322 - 0?\nAnswer: 5b2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.8. Let g = 439 - 1318\/3. Which is the nearest to 1? (a) j (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267807*g**3 + 133900*g**3 + 133904*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 241612669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 4\/5, -8, 4, 314, 3?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -723, -1444, -2165, -2886, -3607, -4328?\n\"Answer: -721*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -155278 times 5\nAnswer: -776390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2268 and 329196?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -47667 (base 8) to base 4\nAnswer: -10332313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 - 2 + 4 - 2*b**3)*(3*b - 2*b + b) + 4*b**4 - b**4 - b**4 to q*b**3 + x*b**2 + j + d*b**4 + o*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48562, 97126, 145690, 194254?\n\"Answer: 48564*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -82\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/8 and -139\/9762.\nAnswer: 39048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 22 = 14. Suppose -p*n + 355 = 103. Let i(z) = -n + 34 - z + 2*z. Calculate i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -29. Find the common denominator of (-81)\/(-10) + (0 - 0)*268\/(-1072) and 63\/(-36)*26\/d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2 - 3*d + 1. Suppose -846*t - 18 = -840*t. Give f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 2*f**2 + 6*f + 3. Let y be -2*1 + (1 - -1). Let b = y + -4. Let d be g(b). Solve 3 = -2*m + d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = -5*l, -c + 4*l - 4 = 0. Let z be (27\/(-12))\/((-2)\/8). Let m(y) = -y**3 + 9*y**2 + 5. Let x be m(z). Solve s = x*s + c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/(6\/((-84)\/7))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156 - 107. Let m = f - 25. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137077.9cm to meters.\nAnswer: 1370.779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a. Let m be 0\/(1*(-4)\/(-4)). Let y(x) be the second derivative of 2*x + 0*x**3 + 1\/6*x**4 + 0*x**2 + m. Give y(k(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 164. Suppose 8*l - 253 = h. Suppose 5 = q - 10. Calculate the remainder when l is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520360319 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-1 + 7 - 2 - 2*t)*(4 + 1 - 4).\nAnswer: -4*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 9*h + 6. Let q be j(6). Let s = 227 - q. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.3, -0.5, 0.27, 16\/15, 16.\nAnswer: -0.5, 0.27, 16\/15, 7.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 17557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*4*3\/(-60).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5060.57 - -461.83. What is p rounded to the nearest 10?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43c + bdd?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.695 + 2.595. Let u = 493\/15 + -166\/5. What is the smallest value in o, 5, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31891 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 14 = -14*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 3, 266, 3\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y + 23. Let o(j) = 9*j + 22. Let b(z) = 2*o(z) - 3*r(z). Let u be b(-5). Determine t so that u + 21*t - t - 4*t**2 - 5 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62.5 - 409.5. Let w = t + 351. What is the second smallest value in 0.3, w, 21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 825778 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26227 - 671?\nAnswer: 25336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2\/2 + 4*h + 231. Give k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19710, -39505, -59300, -79095, -98890?\nAnswer: -118685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62113256 (base 7) to base 16.\nAnswer: -4f4c84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7887475 years in decades?\nAnswer: 0.07887475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 219*s**2\/5 + 1872*s\/5 + 12096\/5.\nAnswer: (s - 24)**2*(5*s + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from innnroieneenneper.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-s + 0*s + 3*s) + (3 + 3 - 4)*(3*s - 5*s + 3*s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 40 - 2*x**2 - 2*x**2 + 38 - 2*x**2 + 53*x**3 to n*x**2 + j*x**3 + c + v*x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 2\/13 (c) -3\/14 (d) 30.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-3)*((-3)\/(-24))\/((-9)\/(-108))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/24)\/(1\/(-3)). Let d be 20\/(2\/s - 0). Let l be (10\/d)\/(2\/(-4)). Which is greater: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.386 * -5.\nAnswer: 1.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 25614282?\nAnswer: 51228564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxoooxoozxbozz. What is prob of sequence bxoo?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 190, -0.4, 1\/2 in descending order.\nAnswer: 190, 1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -211307 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) -4 (b) -7 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s + 25. Let n be m(-13). Let b(d) = -23470*d**2 - 9*d - 6. Let k be b(n). Round k to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -59*t - 18. Let c be l(-2). Is 101 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*x**3 - 36*x**3 + 2*x**2 - 1 - 22*x**4 + 406*x - 407*x - 3*x**4 - 5*x**2 in the form m + k*x**3 + j*x**4 + l*x + w*x**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.5 - 18. Let f = -0.4999997 + k. Round f to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.44 + -61.56. Let y = -62.0000132 - b. Round y to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 5, 0.1407?\nAnswer: 0.1407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22793 by 7.\nAnswer: 22793\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 - 2 = -4*m, 4*m - 4 = -2*g. Suppose 2*p - 3*t = 2, g - 8 = 4*t. Let y = p + 6. Solve 0 = y*f + 6 + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 10*n + 12*n - 8*n as l*n**2 + t*n + f and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 4*m**2 - 7*m - 10. Let a be z(-5). Let h be 2\/4*(a - -216). Suppose 4*s + 2*r - 4*r = 344, s + 5*r - h = 0. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*h - 5*d, -44*h = -41*h + 4*d - 3. Solve -4*p + 5*c = -21, -p = -5*c - 0 - h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 53 - 102 - 3 = 139 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.20999996 + 0.21. Round h to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*v - 13 - 15 - v**3 + 37*v - 3*v**2 + 3*v**2 - 2*v**3 + (4*v - 3*v + v)*(3*v - 3*v - v**2) - 3 - v**3 + 3 + 3*v**3 + 0*v**3 - 2*v**3.\nAnswer: -5*v**3 - 3*v - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1387385648 - 1387385648 - 24*q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 9. Let b be (20\/8)\/((-30)\/(-48)). Find the second derivative of b*z**4 - 3*z + a*z - z wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 9*i**2 + 9*i + 11. Let a be c(-8). Suppose a*t = 3*w - 18, -4*t = -2*w + 4 + 12. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61 and -4455276.\nAnswer: -271771836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37916, -37915, -37914?\n\"Answer: k - 37917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 418 + -416.82. Let t = -1.28 + o. Let k = -2.4 + 2. Which is the nearest to t? (a) 4\/7 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -b + 90, -b - 2*b - 4*r + 335 = 0. Suppose 0*j + 101 = v + 3*j, b = v + 2*j. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 16983.\nAnswer: 118881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/4 and 23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1695188, 14, 1, -3 in decreasing order.\nAnswer: 14, 1, -3, -1695188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjjwvygywgwwyyywyv. What is prob of sequence wvvw?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.2. Let g = 34 + -37. What is the closest to 0.1 in d, g, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-4)*8\/(-12). Suppose 0 = -n*d + 4 + 2. Suppose -46 + d = -4*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100709 rounded to the nearest one hundred?\nAnswer: 100700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 5) to base 10\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78463 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v + 5*v - v**3 - 8*v - 2 + 3*v**2. Suppose -4*r = -25*p + 26*p - 13, r + p = 4. What is f(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 3. Suppose 5*h + 22 = 3*n, n - 5*h - y = 14. Let s = -14\/3 - -5. Sort n, 4, s in ascending order.\nAnswer: n, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80832561 rounded to 2 dps?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -14*y - 4. Let t be l(4). Calculate the common denominator of 370\/84 + (-2)\/(-3) and 99\/t - (-2 + 0).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/(3\/12*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -41?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 2:02 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14 = -2*k, -9*k + 11 = -14*k + 4*m. What is the lowest common multiple of 54 - k - (-2 - (2 + -2)) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let j(b) = 54*b**2 - 16*b. Let p(h) = -h**2. Let y(c) = j(c) - 3*p(c). Determine y(i(z)).\nAnswer: 228*z**2 + 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 983612.4 months in centuries?\nAnswer: 819.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 8*t - 70)*(-3*t + 5*t + 0*t) - 4*t**2 - 2*t**2 + 3*t**2 + 0*t - 2*t + 3*t**2 + 0*t**2.\nAnswer: -16*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 - 3 = 0. Suppose 637 = m*r - 0*r. Let s = r - 97. Sort 0.5, 1\/3, s.\nAnswer: s, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 13.9659 kilograms?\nAnswer: 0.0139659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -1 - (105 + -52 - 18).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10 = -3*w, 4*w - 3*h = 13 + 7. Let d(u) = 2*u. Let g be d(w). Suppose 5*v - 21 = g*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83453*b**3*f**3 + 40*b**3*f*l - 53*b**2*f**3*l - f*l + 27079 wrt b.\nAnswer: 500718*f**3 + 240*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + 0 + 276\/10. Suppose 6*h = -h + a. Suppose 0 = -4*b - 0*b - 3*g + 27, 0 = 2*b + h*g - 26. Solve -2*p = -p - b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:04 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 5) to base 12.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 95?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-126)\/(-27)) + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359591 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 4. Let v be j(0). Find the common denominator of 31\/15 and 1 + (-2)\/v + 870\/(-108).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u\/(u\/(u*(((u\/(u**(-2)\/u))\/u)\/u)\/u*u*u*u))))\/u))\/u)**(-14)\/((u\/(u\/(((u*u**(-5))\/u)\/u)))\/(u\/u**7)) assuming u is positive.\nAnswer: u**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from stttgtsrtttg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 90*c**3 + 198*c**2 + 11. Let o(j) = 45*j**3 + 99*j**2 + 6. Let l(k) = -11*o(k) + 6*t(k). What is the third derivative of l(r) wrt r?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -310212?\nAnswer: 310120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 2*f - 455. Let s = 87 - f. Suppose -g + 101 = -s. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, s: 3, y: 1}. Give prob of picking 2 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9443?\nAnswer: 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*b - 14. Suppose 30 = -0*y + 4*y + 5*t, 4*y = 4*t + 12. Factor -19 + 5*l**b + 5*l - l**4 - l**y + 19 - 3*l + 3*l**3.\nAnswer: -l*(l - 2)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(-10) + 4\/(-10). Suppose -w*q = 4*r - 6*r + 216, 5*r - 540 = 5*q. What is r rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*o + 1 - 1.\nAnswer: 235*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 3, -3\/16, -3\/5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + 0 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.6 - 36. What is a rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43003?\nAnswer: 43003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 7:10 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*i = 10, 5*b - b - 2*i = 10. Suppose b = -12*h + 9*h. Suppose 4*o = -5*z + 57, -o - 4*z + 4 + 2 = h. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.86602 take away 168?\nAnswer: 165.86602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from vjvjjjfyjyjjjjjjjjj.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/180 - 2*u**4\/9 + 51*u**2. Factor n(y).\nAnswer: y*(y - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d - 2. Let b(c) = 9*c - 68. Let r(s) = 10*s - 82. Let o(l) = 6*b(l) - 5*r(l). Let v = -3 + 8. Let i(p) = v*j(p) + 6*o(p). Give i(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-15)\/y)**(-7\/10)\/(y**4)**(-36) assuming y is positive.\nAnswer: y**(309\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*d + 25, 5*b - 3*d = b + 55. Find the second derivative of -308 - 32*o**2 + 17*o + b*o**2 + 309 wrt o.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/2 - (-12)\/(-8). Let c = z + 9. Solve -4*b + b = c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4940)\/(-55) + (-4)\/(-22)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*a - 950 + 8720 = 0, -2*q + 2*a + 3870 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 98 + 2?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {k: 5, z: 1, f: 11}.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -12, 0 = 3*x + 2*j + 2*j - 98. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1311*f**3 + 4*f**2 - 12. Let v(y) = -1296577*y**3 + 3957*y**2 - 11871. Calculate 3957*s(a) - 4*v(a).\nAnswer: -1319*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {c: 2, v: 6, u: 1, l: 2, e: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 - 144*y**2 - 782*y + 924 = 0. Calculate y.\nAnswer: -6, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r = -61*r + 20. Suppose 0 = 3*s + r*w + 32, -s - 2*w = 2*w + 13. Let t = 2 + -5. Put s, t, 4 in decreasing order.\nAnswer: 4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5557961\/19 at most -292523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -91*v + 32. Let f be i(-24). Let b(m) = -f + m + 2211 + m**3 - 2*m + 7*m**2. Give b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(27\/9)\/((9\/155)\/((-150)\/(-250))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68\/21 - 85\/84. Is o less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(192)*3 + -5)*3.\nAnswer: -20 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10332 = 10*f + 468. Let x = 7548\/7 + f. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 248*t + 7688. Determine x(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 4\/13, 13130.7?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1714.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y*((y*y\/(y\/(y*y\/((y*y\/(y*(y*y**0)\/y))\/y)))*y)\/y)\/y)\/y)\/(y**(3\/2)\/y))\/(y**1)**(2\/45))**(31\/3))**27 assuming y is positive.\nAnswer: y**(6851\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(702\/130 + (-18)\/(-30))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -80, -150, -220, -290, -360?\n\"Answer: -70*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - 99*b + 30. Calculate the remainder when p(36) is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 3*a + 2. Let d be s(-2). Let x(b) be the first derivative of -b**3\/3 - b**2\/2 + 11*b - 19021. Determine x(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3351*w - 8002*w + 3526*w)*(-2*w**2 + 4*w**2 - 4*w**2) as m*w**3 + u*w**2 + s + f*w and give m.\nAnswer: 15654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 96*l**2. Let m(n) = -4*n**2. Calculate m(o(g)).\nAnswer: -36864*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 945070369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1 - (-15)\/12). Let h be 2\/1*(9\/2 + m). What is the nearest to -1 in h, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a989 (base 12) to base 14.\nAnswer: 2169b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21236.4km in meters?\nAnswer: 21236400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 7*p**2 + 4. Let d(t) = t**3 + 2*t**2 - 2*t + 10. Let x be d(-3). Give z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82861059?\nAnswer: 3, 73, 378361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Suppose -6 = j - 1. Let k(n) = -2*n - 1 + 2 + 8*n. Determine j*s(r) + k(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**2 + 150*t + 80. Let w be o(-11). Solve w*n - 3*r + 3 = -3, -1 = -n - 2*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2045)\/(-15) - (-21)\/(-9). Suppose -3*v = j - 222, -7*v + 4*j + k = -5*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.023 + -89.823. Let k = -81.07 + -0.93. Let u = g - k. What is the closest to u in -4, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*l**3*n - 10*g**2*l**2*n + 3*g**2*l**2 - 33*g*l**3*n**2 - 4*l**2*n**2 wrt l?\nAnswer: -12*g**2*n - 198*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.6 + -48. Let u = 1.4 + -1. Let c = u + j. Is -3\/4 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9578, -38030, -85442, -151814?\n\"Answer: -9480*f**2 - 12*f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1126 and -85\/124.\nAnswer: 69812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -62.08417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*p = 32, -4*o + 52 = -2*o + 5*p. Let u = 5 - 1. Solve -u*v + o = -8*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -14 + (-145 - -167) - (-44 + (1 - 0))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46112498921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 10:33 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4 + 26?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10450681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 429*z + 21025. Let w be i(-49). Let t(r) = -29*r**2 + r. Let f be t(1). Sort -1, w, f in decreasing order.\nAnswer: w, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*s**2 + 214*s**4 - 44*s**2 + 81*s + 178 - 79*s wrt s.\nAnswer: 2568*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 51.938. Let a = -4.338 - f. Let l = a - -3.8. Sort -5, l, -4.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16725681*n**4 - 16227924?\nAnswer: -66902724*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 722539 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: What is 6\/(-33)*(-5)\/((-15)\/(-99))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3749 + -3751.6. What is the third biggest value in -3, i, -71, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4263 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 20*d - 17. Determine n(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {z: 1, s: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + -1*sqrt(363))**2 + 4 + (sqrt(48))**2*-4.\nAnswer: 22*sqrt(3) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 83*b + 285, 2*v - 408*b = -407*b + 21 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (2*(-4 + (((sqrt(475) - -1*sqrt(475)) + sqrt(475))*-5 + sqrt(475) - (0 + sqrt(475) + -3))))**2.\nAnswer: 600*sqrt(19) + 427510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 21 = -6. Suppose g = -0*l + 5*l. Suppose 16 = 5*j + l*j. Solve -w = -j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1628)\/(-66))\/((3*8\/6)\/(-6)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - -2 - 3\/1. Suppose -2*b = -3*k + 4 + s, 2*k = 4*b - 4. Solve 2 = w - b*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5220, -3, -247, 0, 1.\nAnswer: -5220, -247, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0 + 1\/24*b**4 + 1\/3*b**3 - 2*b**2 + 0*b. Differentiate a(v) with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23313904 minus -0.02?\nAnswer: 23313904.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from svmmiivvvs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 2196.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 966.3 - 966.5. What is the closest to -2 in -112\/11, 0.5, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676279910 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {j: 1, h: 1, d: 1, g: 2, n: 3, x: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - -10110011010?\nAnswer: 10101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 63*m + 7. Suppose -76 = -3*v - 58. Let c(n) = 1 - v*n - 3 - 15*n. Let j(p) = 8*c(p) + 3*g(p). What is the derivative of j(h) wrt h?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 3)*(5 - 4 - 2)*(-131*q + 183 + 267*q - 134*q).\nAnswer: 16*q + 1464","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2053 (base 14) in base 12?\nAnswer: -3275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4117 + 260.70412\nAnswer: -3856.29588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4. Suppose -40 = -2*g - j*g. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/15 + 1 - 2\/(-6). Suppose -2*s - i + 28 = 0, -s + 20 = -4*i + c*i. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 368*q + 3927.\nAnswer: (q + 11)*(q + 357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 29*v + 669. Let r(l) = l**2 - 14*l - 335. Let s(g) = -5*r(g) - 2*w(g). Calculate the smallest common multiple of (-6)\/4*(0 - 14) and s(25).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0658 + -0.2342. What is the biggest value in -1, 1.5, 1\/5, b?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtht when four letters picked without replacement from {i: 2, g: 1, h: 1, t: 7, d: 6}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 375*h - 5850.\nAnswer: (h - 390)*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4216812431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402114 is divided by 100524.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -38. Suppose -4*v - 2*h = 26, 0 = 3*v + 2*h - m*h + 2. Let a be -2 - (-4 + 2 - v). What is the nearest to 2\/7 in -3, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 4, 341 in descending order.\nAnswer: 341, 4, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 3*z - 18 = 19*k, -7*k - 3*z - 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:57 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/39004 and -89\/13930?\nAnswer: 195020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/(-15) - (556\/(-36) + 4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185\/1428 - 1\/84. Let f = 256.4 - 256. Put f, -4, c in ascending order.\nAnswer: -4, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(x - x + 2*x**2) - 9577*x**2 + 2 - 2 + 8087*x**2 + 2*x - x**2 - 2*x.\nAnswer: -1493*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51346.68 meters to centimeters.\nAnswer: 5134668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2918 + 1552*z + 2918 to u*z + b and give u.\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 + -109. Let n(p) = 12*p + 0*p - k*p. Let r(g) = -7*g**2. What is n(r(o))?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*u + 3*u = -374 + 2089 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 3 + (1 - -2). Solve 2*k + 2*k + x = -2*f, 5*f + 3*k + 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41107 + 0.08893. Which is the closest to 2\/9? (a) l (b) -2\/17 (c) 6\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/5 - 1648*v - 4385538\/5 = 0.\nAnswer: -477, 4597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 5*q**2 + 2*q - 1. Let c be z(-4). Let m(j) = j**3 - 7*j**2 - j + 9. Let d be m(c). Solve -d*y + 2 = -8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*o + 797 - 195, 5*q + 5*o - 755 = 0. Suppose 4*t - 339 = 11*f - 14*f, 3*t - 4*f = 198. What is the remainder when q is divided by t?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1.1.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64366583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 637980 divided by -6860.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + 16 + 7 + (4 - 41) + 5?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*y - 30, -p = -4*p - 5*y + 22. Suppose 82 + 226 = p*u. Calculate the remainder when 34 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0 + (-1 - 4 - 5)*(-31 - 7 + 4))*(-5 + 5*v + 5).\nAnswer: 1715*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1803.5 in -0.003, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 5*w**2 + 3*w - 1. Let c be u(-3). Let i(a) = -a + 11. Let l be i(c). Suppose -18 = -3*m - l. Sort -4, 7, m in increasing order.\nAnswer: -4, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 36, 40, 44, 48, 52?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 - 1600\/9. Which is the fourth smallest value? (a) 1 (b) -0.4 (c) t (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - x**4 + 3*x**4)*(-1751*x + 24 - 24 + 963*x).\nAnswer: -788*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*a + 1633 = -5679 - 8905 - 9952 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 206*b**2 - 1981. What is h(0)?\nAnswer: -1981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 40 = 2*d. Let c(o) = o - 10. Let r be c(d). Suppose 4*j + 779996 = z - r*j, -5*j = 2*z - 1560005. Round z to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 53 = -3*c, c - k = -6*k - 14. Let g = 22 - 23. Calculate the common denominator of g and 24\/8*17\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 w when three letters picked without replacement from {e: 9, w: 4, g: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10) - (-576)\/(-120). Let n be (5\/2)\/(1 + 21\/(-36)). Sort a, 2, 3, n in descending order.\nAnswer: n, 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1025? (a) 1 (b) 2176 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -428 + 435. Suppose 3*j = -3*r + 18, 2*r - j - y = -4. What is the remainder when 14 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3 and 0.1423.\nAnswer: 1.4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) + (-44)\/8. Let q = -3707\/3 - -1235. What is the second smallest value in z, 122, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**5 + 10348*y**4 - 3*y**3 - 20*y**2 + 501 wrt y?\nAnswer: 120*y**2 + 248352*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/9 - 494*i\/9 + 55 = 0. Calculate i.\nAnswer: -495, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7699, -7738, -7811, -7918, -8059?\n\"Answer: -17*d**2 + 12*d - 7694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 471612, 943214, 1414802, 1886370, 2357912?\n\"Answer: -j**3 - j**2 + 471612*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 11. Let y(v) = -v**3 + 9*v**2 - 12*v + 16. What is the smallest common multiple of (-2 - -1*22) + 0 and y(s)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (153\/(-6))\/(-17)*(-13)\/(-4)*(-2400)\/(-150)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((2 - 1)*1). Let t be -2*1 - (2 + h). Let u = -0.281522 + -0.118478. Which is the closest to -1? (a) -4 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1992 - -1996. Let f be 1 + 3\/((-6)\/8). Put f, r, 3 in decreasing order.\nAnswer: r, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.71824 minus -2?\nAnswer: 33.71824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2503 at least -2551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7302 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(2448) + 1)**2.\nAnswer: -7348 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (146 - 0) + (7 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**8\/168 + 2*u**7\/15 + 5*u**6\/4 + 97*u**5\/15 + 61*u**4\/3 + 40*u**3 - 1132*u**2. Factor j(s).\nAnswer: 2*(s + 2)**3*(s + 3)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.506, 5\/72, -0.3, 22?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**6\/330 + z**5\/55 + z**4\/44 - 3*z**3\/11 - 83*z + 72. Let q(d) be the first derivative of s(d). Solve q(g) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/3 (c) 0.2 (d) -564\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441 (base 8) to base 10.\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from kcpmmkkcck?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 0*d**2 + 3*d**2 + (3 - 5 + 4)*(28*d - d + 4*d)*(d - 11*d + 0*d)*(6 - 1 - 3) to a*d**2 + r + x*d and give a.\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g - 2, -3*g - 24 = -3*c. What is the greatest common divisor of c and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*1.7.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1512 - 7561\/5. What is the closest to 3 in 3, -0.35, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -19*h**2 - 18339*h + 14497. Give r(-966).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 24. Let u(w) = 5*w - 54. Let f(s) = 9*g(s) - 4*u(s). Let y(c) = 3*c**2 - 101*c. Give f(y(d)).\nAnswer: -6*d**2 + 202*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 1. Let o(f) = -f**3 + 20*f**2 + 2*f - 32. Let l be o(20). Let z be l + -3*(4 + -3). Calculate r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*k - 1556 = 20745, -2*s = k - 14858. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*601\/10818?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -21*p**2 + 422*p - 3989. Let x(n) = 11*n**2 - 212*n + 1994. Let g(z) = 6*h(z) + 11*x(z). Let g(k) = 0. What is k?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -718 or -677?\nAnswer: -677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 4*y**2 + 199*y - 2216. Determine j(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: -243 + 247 - (1 - 3 - -8 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 minus 155348?\nAnswer: -155355.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 101366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.12075151 to 4 dps.\nAnswer: 1.1208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47079 is divided by 9366?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71621 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15a + -64600?\nAnswer: -64462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1466)\/53509 - 0\/(-2).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*o**2 + 108*o**2 + 245*o**2 + 77*o**2 + 79*o**2.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + (92\/16)\/1. Which is the nearest to m? (a) -8 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.097, 0.08, -0.14 in increasing order.\nAnswer: -0.14, 0.08, 0.097, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 403 + 45?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 2*r**2 + r - 21. What is s(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:35 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3950 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 16 + (17 - 0) + -42 + 86?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h - 2*h)*((-1 - 2*h + 1)*(2*h + h - 2*h) + (3*h - 3*h - 4*h)*(-2*h + 0*h - 2*h)) as f*h + o*h**3 + y*h**2 + w and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 71?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqdhhqggggg. What is prob of sequence gh?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212499?\nAnswer: 3, 7, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359365*b = 1359407*b + 1848 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 2*f + 7 - 21 + 21 - 46.\nAnswer: 2*f - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -30. Solve 22 = -g*b - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 29*o + 162 = -51*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 29.55. Let f = 0.05 - s. What is the closest to 0 in 3, 2\/17, f?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17097 - -6856. List the prime factors of i.\nAnswer: 17, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 2*v**2 - v**2)*(1 - 1 + 4).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u - 2*p + 12, -3*p = -12. Suppose u*i - 60 = -54. What is the third derivative of -45*z**2 + 49*z**2 + z - z + z**i wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -8. Let z = -33 - -43. Calculate the greatest common divisor of z and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*o**3 - 14*g**3*o**2 + g**2*o**3 + 36*g*o + 3*g - o**3 wrt g.\nAnswer: -6*g*o**3 - 84*g*o**2 + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*l**5 - 9*l**3 - 56*l?\nAnswer: 280*l**3 - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/40)\/((-30)\/16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-19)\/(-2))\/((-6)\/(-12)). Let f = -13 + r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 + -12.8. Let f(w) = -w**3 - 11*w**2 - 9*w + 6. Let z be f(-10). Let y = 976 + -979. Put d, y, z in increasing order.\nAnswer: d, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:40 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*v = -80*v - 1069*v + 48614 + 63220 for v.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -9, 9, 48 in descending order.\nAnswer: 48, 9, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1284038802 to the nearest integer?\nAnswer: 35833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55282 = 358*u + 64232 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from vvfvffvvvffvvvvv?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 773045.6 rounded to the nearest one hundred?\nAnswer: 773000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.42 - 2.42. Which is the nearest to 1\/5? (a) u (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-4*(-3)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -72 + 16 + 45 + (-2 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 305 + -3967\/13. Which is the closest to -1\/4? (a) x (b) -1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 933, 3057, 7195, 14019?\nAnswer: 24201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -349580*f - 13475. Let c(b) = -7945*b - 308. Calculate 175*c(u) - 4*v(u).\nAnswer: 7945*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 426\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 0*n + 1 - 3*n)*(0 + 2 + 0)*(-4*n**2 - 4*n**2 + 0*n**2).\nAnswer: -16*n**3 - 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + o + 3*o - 40, 2*u + 5*o - 26 = 0. Let r(j) = 4*j - 10. Let y be r(6). Suppose -y*s = -u*s - 150. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 69 (b) -5 (c) 33 (d) 0.017 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*v - 6*v + 22, 4*z + 14 = 2*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 11) in base 7?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 64, 43, -16, -131, -320, -601?\n\"Answer: -3*w**3 - w**2 + 3*w + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1626 = 77*z - 80*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w = -66*w + 4*g - 4, 2*w + 10 = -5*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2716702 is divided by 23623.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - -17 - (5 + -2). Let r = 21 - s. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*a**2 - 119*a**3 - 23 + 115 - 17*a**2 + 27*a**3 wrt a.\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 12*s + 16*s = -26, -3*s - 27 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = -5*s + 54, -s = -4*k - 2. Let v = 41\/4 - s. What is the smallest value in v, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - 2222?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 257852339951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 - 475. Let i = p + 269. What is the smallest common multiple of i and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32475 - -30598. Is q greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*b + 18, -7*b + 10 = -2*b. Let s be (-92)\/(-22) + x\/(-44). Solve -3*t + 4*t + 3*z = -4, -s*t = 3*z - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52153145 (base 6) to base 3\nAnswer: 2211121112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -15. Suppose 0 = -4*m - 5*k + 7, -r*m + 5*k = 2*m - 20. Let t(z) = -z**2 + 7*z**m - 10*z**3 - 5*z + 2*z**3 - 2 + 6*z**2. Give t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(-3 + 0 + 5)*(0 + 0 - 4*p) + 11 - 9*p - 11 to the form r + c*p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12072 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/8 - 61*f**4\/2 + 10783*f**3\/8 - 11985*f**2\/2 = 0. Calculate f.\nAnswer: 0, 5, 51, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -48 + t - t - 6*t + 5*t - 2*t. Give k(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**4\/4 + 3*d**3 + 9*d + 188. Determine h(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 15 = 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 + 0 - q - 13\/4*q**3 - 1\/4*q**5 - 3\/2*q**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a6992 (base 12) to base 14\nAnswer: -c2782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -181837 less than -4.933268?\nAnswer: 181832.066732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8187885 weeks to hours.\nAnswer: 137.556468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*d - 263141 = 0, -5*u + 84635 = 2*d - 244316. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 15. Suppose p - 30 = z. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:03 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-2)\/4*-2. Suppose 5*g - 3*g = 26. Suppose 2*z + 3*z + 29 = -2*y, 4*y + z + g = 0. Sort y, -0.3, j in descending order.\nAnswer: j, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -2)\/(-1 - (-13)\/11). Suppose 22 - q = 7*y. Is -2\/45 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**2)*l**(-3\/2)\/l*(l*l**0)**(-3\/14))\/(((l\/((l\/(l*l**7*l))\/l*l*l))\/(l\/(l*l\/(l**(5\/2)*l*l))))\/(l**1\/l)**21) assuming l is positive.\nAnswer: l**(-143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose -4*j = -4 - u. Let r(y) = 8*y - 1. What are the prime factors of r(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 8. Let r be (9 - 5569)\/(k\/10). What is r rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 219*y**3 + 139*y**2 - 382*y + 5. Determine o(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1757*o**3 + o**2 - 2*o - 55854?\nAnswer: 5271*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8556800 and 33600.\nAnswer: 25670400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 23\/2)\/(12\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*a - 158*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 20541\/17 (b) -14 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/150*5*(1 + 22 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/7 - 2*u**3 + 1476*u**2\/7 - 16200*u\/7 = 0. What is u?\nAnswer: -50, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**5 - 21*b**3 - b**4 + 21*b**3)*(-2 - 3 + 3 + (-2 - 1 + 4)*(2 - 1 - 2) - 4 + 2 + 4 + 1 + 0 - 3 + 3 - 2 + 0 - 1 + 2 + 2).\nAnswer: 2*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -13479, 30 in descending order.\nAnswer: 30, -47, -13479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = 0. Let q = p - -1. Let m = 1 - q. Solve m = 5*x - 4*h - 21, -5*h - 9 - 7 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 + 10*o - 12. Let r be i(8). Let w = 2 - 3. Let m = r + w. Sort m, -3, -1 in descending order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/203856 and -99\/8768?\nAnswer: 815424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, -2, 3, -115 in descending order.\nAnswer: 18, 3, 2, -2, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = i. Let z(a) be the first derivative of 0*a**3 - i + 0*a - a**2 - 1\/2*a**4. Find the second derivative of z(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*z + 3497 = 11572 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11943 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 22, -13\/4, 9, -8, 0 in decreasing order.\nAnswer: 22, 9, 0, -0.3, -13\/4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2538 or 1\/84?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -95*x - 9. Let f(c) = -49*c - 5. Give 5*f(u) - 3*k(u).\nAnswer: 40*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z - 289. Calculate r(30).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 4038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -3*l**3 - 2923. Let c(i) = 65*i**2. Calculate c(m(y)).\nAnswer: 5265*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3.62, 2 in ascending order.\nAnswer: 2\/11, 2, 3.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15545 or 15544?\nAnswer: 15544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44412 (base 5) to base 2\nAnswer: -110000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -25643124*l. Let s(g) = 2*g**2. Determine s(u(p)).\nAnswer: 1315139616958752*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lul when three letters picked without replacement from {l: 6, u: 9, s: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-26 - (-8 - 5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(126) + 4*sqrt(126))*2)\/((sqrt(200)\/sqrt(2))\/sqrt(2)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 18*d - 45. Let i be c(20). Let f(n) = -n - 29. Let y be f(i). Let v(r) = -r**3 + 4*r**2 + 4*r. Let b be v(5). Sort 4, y, b in ascending order.\nAnswer: y, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e9afc (base 16) in base 7?\nAnswer: -103461656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -5*l**3\/3 - 475*l**2\/2 - 199. Find j such that f(j) = 0.\nAnswer: -95, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*-6*-22*(-15)\/3300\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 13*r + 2. Let d(i) = 8*i**2 + 52*i - 9. Let z(n) = 2*d(n) + 9*s(n). Find the second derivative of z(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-77)*594\/324*(-2)\/((-26)\/3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*p - 80, -5*p + 55 = -3*l - 25. Let z = p - 10. Let u(r) = 19*r - 12. What is the tens digit of u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -56. Which is smaller: y or -3\/52?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**9\/12096 + b**8\/2016 + b**7\/1008 - b**5\/60 + 8*b**2. Let j(w) be the third derivative of g(w). Find k such that j(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1324*y**2 + y**3 + 8*y - 2*y + 42*y**4 + 3 + 659*y**2 + 665*y**2 to the form d*y**3 + c*y**4 + w*y + g + l*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 113 + 92. Solve -3*n - 4*p - 7 = 0, 4 = -4*n - u*p - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Let p(i) = 65753059*i. Give g(p(q)).\nAnswer: -197259177*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7)*(-7)\/(-21)*-1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1172543426472846 + -1172543603826849.4999919. Let y = 177354012 + p. Let r = -8.5 + y. What is r rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 + 18203\nAnswer: 18382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-1))\/(6\/90*3). Let t be 2\/(-8) - 1599\/4. What are the prime factors of (24\/o)\/(24\/t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 7*b + 570. Let u = -88 - b. Calculate the remainder when u - -3*(3 - (-21)\/(-9)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oojjjkoojjkj. What is prob of sequence jo?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/3 - v**2 - v - 5. Let m(a) be the first derivative of x(a). Differentiate m(l) wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*u - 284, -57*f + 822 = -54*f + 2*u. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511228?\nAnswer: 2, 127807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*h + 581*h - 1154*h + 36.\nAnswer: -7*h + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2 - 8. Calculate the smallest common multiple of 2\/2 - u\/(-1) and (-2 - 8)*(1 - 2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219958837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34253 - -34252.87. What is the second biggest value in 0.007, 2, l?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3 - f**2\/2 - f - 1. List the prime factors of b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 2*y**2 + 3*y - 7. Let v(p) = -p. Let h be v(-4). Suppose -47 = -2*f - 21. What is the remainder when g(h) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/101 and 11\/12?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(396) + sqrt(396) + 0)**2 + sqrt(396))*-5 - ((sqrt(110) + (1*-1*sqrt(110) - sqrt(110)))\/(sqrt(360) - sqrt(360)*-2))**2.\nAnswer: -2557991\/324 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, b: 4}. Give prob of sequence oob.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 14*c + 228. Suppose a = 5*n + 5, -7*a + 9*a - 66 = -4*n. What is the units digit of p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17121 + -1769.641227.\nAnswer: -18890.641227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787033511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**15*n\/(n**(3\/11)*n))\/((n*n*n*n**(-3)\/n*n)\/n)**3 assuming n is positive.\nAnswer: n**(195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 64 - 174. Suppose -2*f - 8 - 4 = l, -4*l = -5*f + s. Calculate the common denominator of 20\/9 and (l\/(80\/345))\/8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.69 + 2.21. Let g = -0.03 - 2.97. Let h = z + g. Do -2 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86797617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m*m**(-12))*m))\/(m**(-1\/2)*m)*m\/((m*m\/(((m\/(m*m*m**6))\/m)\/m*m))\/m)*m**(2\/13) assuming m is positive.\nAnswer: m**(-555\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 28*s + 158. What is j(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 7*l**2 + 2*l + 16. Let z be (-6)\/3 - 9 - -4. Let m be g(z). Suppose r - 90 = -2*k + 25, 5*k - m*r - 265 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/60 - h**4\/6 + h**3\/3 - h**2. Let c be m(-4). Solve -5*d + 4*d = c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from yvgxmwxgxyxwyy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35217?\nAnswer: 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15139169317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -0.4, 2\/7, -0.5, 58355?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153676*a**5 + 5067*a wrt a.\nAnswer: 3073520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 261135940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 3*x**2 + 3*x**4 + 135*x - 135*x - 396*x**4 + (0*x - x**4 + 0*x)*(0 + 1 + 2).\nAnswer: -396*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 7*p + 5*p**2 - 16 - 4*p + 0*p + p**3 + 0*p**3. Calculate g(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4381676.17 rounded to the nearest one thousand?\nAnswer: 4382000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*v - 366 + 356, 55 = 4*v + 5*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-3*sqrt(150) + sqrt(150) + sqrt(150))*-2)\/(sqrt(50)\/sqrt(5)*-6))\/(-3*(-2*sqrt(108)*5 + sqrt(108))*-6))**2.\nAnswer: 5\/8503056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34668 is divided by 431?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1002*p = -1001*p - 2. Solve 3*s - 13 = u - p*s, 5*u + 4*s + 7 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -16. Suppose 0*h - h - t = -267, 0 = t - p. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341614661?\nAnswer: 19, 43, 59, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6873\/25 - 275. Let s = 29\/50 + c. Let b = 5.1 - 0.1. What is the biggest value in -8\/7, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -2 (b) -7 (c) 2 (d) 83\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 26 - 11035*l**3 + 7 + 8.\nAnswer: -11035*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6394 and 9890.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35 * 0.2116525\nAnswer: 7.4078375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-4))\/((-1)\/(-8)*2). Suppose -10 - 13 = -3*n - 5*s, -3*n + 17 = -s. Let d = n + -3. Solve -3*p + t + t - 6 = 0, d*p = -j*t + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -4 (c) 5 (d) -359 (e) -403\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*g - 5 = -0, -3*g + 15 = 0. Let p = 10 - 2. What is the smallest common multiple of p and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 + -162.9. Which is the closest to -2\/7? (a) 0.2 (b) q (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1 - 6) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 17 - 14*h - 86 - 186 in the form i*h + z and give z.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5 + 5 - 4*i + 0 - 13*i**2 + i. Suppose n - 2*n = -7. Let f be (12\/(-9))\/2*(7 + -4). Let k(r) = -4*r**2 - r + 3. What is f*t(b) + n*k(b)?\nAnswer: -2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 9*s + 10. Let l be o(-8). Suppose 0 = l*i + i. Solve i = 2*p - 6*p + d, 0 = 5*p + 2*d - 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {s: 5, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-3*2)\/sqrt(9)*5)**2 + -2.\nAnswer: 11698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3170 and 1215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7\/5)*h*h\/h**(-3\/4))\/((h**(12\/11)\/h)\/h**(-2\/27)) assuming h is positive.\nAnswer: h**(7039\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -a342?\nAnswer: -a344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(336)*4 + sqrt(336)))\/sqrt(6))\/(3*(sqrt(800)*6 + sqrt(8))).\nAnswer: -10*sqrt(7)\/183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/952 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -519169 or -519164?\nAnswer: -519164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + g + 4*g - 2*g - g - g + g + g + 4*g - g - g + g + 2*g - 2*g + (-5 + 4 - 1)*(0*g - 2*g + g) + 2*g - 2 + 2 - g - g + 0*g)*(1 + 2 - 1).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 172.81 decades?\nAnswer: 1.7281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-8))\/(3\/(-12)). Let t = -8 - z. Find the third derivative of -4*a**3 + 0*a**2 - 2*a**2 + 3*a**t wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cddcdccuudcuuc. What is prob of sequence uddd?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.233 + -48.733. Let u = -32169.7617 + 32218.2617466. Let v = x + u. Round v to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -47 - 25. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a - 1. Let v(m) = -m**2 + 2*m + 1. Let g be v(3). Calculate the remainder when ((-4)\/g)\/((-3)\/(-30)) is divided by y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44921, -43095, -40051, -35789?\n\"Answer: 609*q**2 - q - 45529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 3*z. Let i be v(0). Solve -3*j - 2*j = -i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/525186 and -88\/24525.\nAnswer: 1431131850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -5\/4 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((46\/(-828))\/(3\/(27\/3)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/4 + 2175*r**2\/2 - 1594131*r\/4 + 3119046.\nAnswer: -3*(r - 721)**2*(r - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1081*f**3 - 737*f**2?\nAnswer: 6486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 22 = 6*z - 31, -9 = -z + 3*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5))**(-11\/5))**2\/(x**(-1\/6)*x*(x**(-7)*x)\/x)**(-39) assuming x is positive.\nAnswer: x**(-11981\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.228 + 0.22799994. What is p rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4428 and 419553?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137\/282 - -2\/141. Which is the smallest value? (a) -0.5 (b) u (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3786\/631 + (34\/(-3))\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 12*n - 74 - 75 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-76)\/171)\/((-2)\/9*1). Let c(v) = v**2 + v**2 - 4*v**2 - v**d. Let s(h) be the second derivative of -h**4\/12 + h. Calculate s(c(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*g**2 + 43886*g - 10972.\nAnswer: 2*(g + 5486)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 d when four letters picked without replacement from dvvvvvvv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 3\/890870?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/5 - 2*w**4\/5 + 256*w**3\/5 + 256*w**2\/5 - 8192*w\/5 - 8192\/5 = 0?\nAnswer: -8, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ca4 (base 14) to base 7.\nAnswer: -131164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/1)\/(2 + 1). Let t = -3.7 + -1.3. Let c = -5.3 - t. Sort 0.5, k, c in decreasing order.\nAnswer: 0.5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l - 2795. Let r(v) = 4*v - 1383. Determine -6*i(b) + 11*r(b).\nAnswer: 2*b + 1557","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.295 times 5\nAnswer: 1.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -107, -87, -47, 19, 117, 253?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -9*v**4 - 273*v**2 + 141*v**2 + 138*v**2 - 3*v**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:16 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - -3) + (3 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.14 - -0.14. Suppose 86*x + 3*g = 82*x + 43, 0 = -x - 4*g + 27. Which is the nearest to z? (a) 1 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - -81) + (4 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from innnknnkiikninnnnkk. What is prob of sequence kkni?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-416)\/(-70) + -6 - 2\/14. Is y at least as big as 3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 0. Let c = -0.240374 - -0.340374. What is the closest to 0.04 in c, 1\/4, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 divided by -56?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 3*i + 6. Let s be 2\/(9\/(-6) + 2). Suppose -y = 4*g + 9, s*g + 18 = -2*y + 5*g. Let o(l) = 7*l**2 + 7*l - 13. Calculate y*d(b) - 4*o(b).\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3*2 - -2. Let m = n - -3. Suppose m*i + 10807 = 133807. Round i to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/140)\/(7\/((-630)\/(-18)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6488 by -44682.\nAnswer: -3244\/22341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100304 (base 6) to base 7\nAnswer: -31666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 1, p: 6, x: 7, e: 2}. Give prob of picking 2 e and 1 t.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 344\/28 + 6\/(-21). Suppose -b*r + 621 = -3*r. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(-10\/9)\/(f\/f**(2\/5)*f)**(7\/2)*(f**0*f\/(f**(1\/5)\/f)*f)**15 assuming f is positive.\nAnswer: f**(1658\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**4 - h**2 + 254719*h + 210009685?\nAnswer: 12*h**3 - 2*h + 254719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 - -304. Suppose 4*r = z - 38, -r - 92 = 8*z - p*z. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 0*z**2 + 0*z**2 + (-3*z**2 + 3*z**2 - 2*z**2)*(-4*z + 0*z + 3*z) + (-z + z + 3*z**3)*(-2 + 2 - 1) to c + n*z + u*z**2 + v*z**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107 - (-5208)\/36)*3.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 146999, 147004, 147007, 147008, 147007, 147004, 146999?\n\"Answer: -z**2 + 8*z + 146992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 + 4) - (3 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z - 2 + 4 + z**2 + 2*z**2. Let f be x(-3). Find the third derivative of f*j**2 - 50*j**3 - 4*j**2 + 45*j**3 wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 15 = 2*c + 8, 2*c - 2*b - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106216 (base 9) in base 11?\nAnswer: 43869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/40, 1, -1\/2, 1\/17, 4, 42, 25.\nAnswer: -1\/2, 1\/40, 1\/17, 1, 4, 25, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z + 2. Let l be x(0). Let m be 7\/(-3) + (l - 0). Which is the closest to -1\/2? (a) m (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:06 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a factor of 13653108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -1dcbb?\nAnswer: 1dcd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a75 (base 15) in base 7?\nAnswer: 6611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 94, 198, 344?\n\"Answer: 21*r**2 - r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 223, -2, -3, 63, 6, 11 in ascending order.\nAnswer: -3, -2, 6, 11, 14, 63, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 2166 in ascending order.\nAnswer: -3, 2, 2166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 60, -4, -1, -5.\nAnswer: -5, -4, -2, -1, 0, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 4*k**3 - 7*k**3 + (-k**3 + k**3 - k**3)*(4 - 3 - 3) in the form u*k**3 + n*k + i + l*k**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 27. Suppose -3*g - 94 = -p, 3*p - 160 - 134 = w*g. Calculate the highest common divisor of p and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 738435.1 tonnes?\nAnswer: 738435100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2293 = 385*i - 302208. Calculate the greatest common divisor of i and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - 14. Determine o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:42 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451.3 + 455.3. Let b = -91.1 + 91. What is the biggest value in b, -0.45, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(10\/3)*d*d*d)\/d)\/(d\/d**(-17))*(d**(-2)\/d*d*d*d)\/d**(5\/2) assuming d is positive.\nAnswer: d**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 637886.9 kilograms in micrograms?\nAnswer: 637886900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Let v be ((-1)\/3)\/(c\/(-18)). Suppose 4*i + 22 = 2*g, v*g - i - 4 = 4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11604611 (base 7) to base 16.\nAnswer: -fecfc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -11003212033?\nAnswer: 11003212103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2425200 divided by -101050.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d5 + 1189?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + j - 4, 200*n - 205*n = -2*j - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - 2*g**2 + 0*g**2)*(-4*g - 18*g - g) + 0*g**3 + g**3 + g**3 in the form b*g**3 + j*g + z*g**2 + w and give b.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 519.00001128 + -519. What is j rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + d = 6*d + 2, -r - 2 = d. Let z be (1\/2)\/(r\/(-24)). Suppose -u = -2*h, 0*u + z = 2*u - h. Calculate the remainder when 10 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2581, -5220, -7857, -10492?\nAnswer: -13125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, x: 14}. Give prob of sequence xmxx.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 - u**3 - 31*u**2 - 17 + 40 - 24 to r*u**4 + h*u**3 + s*u + t + a*u**2 and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmgg when four letters picked without replacement from {m: 5, g: 2, d: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403210937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 11*b**2 + b - 15. Let k be o(11). Let l be 312\/84 - k\/14. Let w be -6*(6\/l + -2). Solve 0 = 4*y + 16, 0 = -4*h + w*y - 6*y - 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10825677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16\/37 + 218\/333. Is 3.7 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2275\/62 + 6\/31. Let c = 37 + b. Suppose 0*z**2 - z**3 + 0 + 3\/2*z**5 + c*z**4 + 0*z = 0. What is z?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (287 - -4) + 2\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (1 - (-1 - (-5 + 3) - -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31648?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*f + 114, -36 + 3 = -c - f. What is the greatest common divisor of c and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 8) + 1 + 1 + 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1123140, -1123132, -1123122, -1123110, -1123096, -1123080, -1123062?\n\"Answer: n**2 + 5*n - 1123146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -0.15, 16214.1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-35)\/(3990\/76)*(-11)\/(-2)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 55*i**2 - 4*i + 2. Let y(v) = -110*v**2 + 10*v - 5. Give 10*r(j) + 4*y(j).\nAnswer: 110*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z. Let s(n) be the first derivative of -n**2 + 13. Give f(s(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4154722 (base 8) to base 14.\nAnswer: -20a654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1021398354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69456 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 21032 in ascending order.\nAnswer: 0, 1, 21032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -72, -150, -234, -324?\n\"Answer: -3*n**2 - 69*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/156 + (-1370)\/(-8). What is the units digit of (13\/(-26) - (-1)\/(-2)) + f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2513, -2496, -2483, -2474, -2469, -2468?\nAnswer: -2471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -94325.96.\nAnswer: 3773.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 5)\/(2\/(-8)). Suppose d = 4*x, -2*a + 4 = 4*x + 2. Which is smaller: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 29 - 5. Let t(g) = 3*g**2 + 1. Let j be t(-1). Suppose s*x - 4*x = -j. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/6 - 18\/4. Let g be 746\/10 + (s\/5)\/(-3). Suppose -5*f - 25 = -l, -l = -5*l - 5*f + g. What is the remainder when 258 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + -3.2. Let g = r + 0. What is the closest to 1 in 0, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 810*d + 382109\/3.\nAnswer: (d + 169)*(d + 2261)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/((-480)\/(-252)))\/(6\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 237442*f - 4511460. Give a(19).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 85*y - 190.\nAnswer: 5*(y - 19)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14059 + -14059.7503. Round g to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -2)*(-1 + 12). Let p = 19.8 - -9.4. Let q = 29 - p. Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*h - 86 = -4*m, 8*m - 4*m + h = -6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 1744?\nAnswer: 13952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2. Let m(z) = -2520616*z - 115368. Let c(k) = -5244*k - 240. Let f(n) = 4807*c(n) - 10*m(n). Calculate q(f(t)).\nAnswer: -6111008*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -1719?\nAnswer: 23\/1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6346?\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + (sqrt(84) - 4*sqrt(84)))*-1)\/(-6*sqrt(12)*1))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 12\/65 (c) 0.5 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33743064 by -1.\nAnswer: 33743064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 18241 = 2819. List the prime factors of b.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 4. Let t be b(-3). Suppose -4*u + 20 = 0, 20*l - 15*l + 5*u = 20. Sort 5, t, l in increasing order.\nAnswer: t, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 6*t**2 - 2*t + 4. Let k be s(6). Let i = k - -12. Suppose i*a = -m + 4*m - 145, 4*m - 192 = 5*a. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(1700))*1 + sqrt(1700) + 1.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 16*d + 48. Solve 28 = d*r + r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646575 is divided by 215512?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 10*t**2 + 10*t - 13. List the prime factors of y(-12).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 11\/(-3))\/((5999\/(-8570))\/(2\/(-40)))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 32*g - 7. Let i(y) = y. Let w be i(6). Is o(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.45 (b) -2\/5 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4965963?\nAnswer: 3, 1655321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6824 + -2714. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 48\/(6 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 16*a + 99. List the prime factors of l(14).\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24977511158 and -4.\nAnswer: 24977511154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g - 26 = -h, 5*g + 32 = h. Let c = g - -8. Find the second derivative of c*k**3 - k + 7*k + 18*k**3 wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + 1 + (-6 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4727731682 + 188.\nAnswer: -4727731494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 70180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -35212?\nAnswer: -5\/35212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 729?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5607 and 30303.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/5)\/((-4)\/(-70)*(-560)\/240)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22992*h**4 + 2*h**3*r**3 + 2*h**2*r**2 + 38*h*r**3 - 49*r**3 - 3*r wrt h?\nAnswer: -551808*h + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/2, 3.04, -52, 0, 3 in ascending order.\nAnswer: -52, -7, 0, 1\/2, 3, 3.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -9*x + 83. What is the second derivative of -125*g**4 + 263*g**4 + g**2 - 2 - x*g - 132*g**4 wrt g?\nAnswer: 72*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 209214645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2 - 400212*a - 800420 = 0. Calculate a.\nAnswer: -400210, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:09 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10920, -21840, -32760, -43680, -54600?\n\"Answer: -10920*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4, 0 = -4*b - 5*x + 9973 + 7075. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -153072, -305680, -458288?\n\"Answer: -152608*p - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 - b**2 - 2*b + 2. Suppose -2*g = z - 4, g - 6*z = -z + 2. Let t be f(g). Let h = t - 7. Let c(m) = -m**3 + m**2 + 5*m - 3. Give c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -8*w + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 8 + 10 - 3*y - 28 to the form c + h*y and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/8 + 248*d**2 - 1643*d\/2 - 658.\nAnswer: -(d - 658)*(d - 4)*(3*d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6800 + 921 - 8856 - 3263 + 1670 - 15531)*(x - 4*x + x) to the form g*x + c and give g.\nAnswer: 63718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 65273 to the nearest 1000.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1 = 3*m - 4*t, 23 = m + 5*t. Suppose -4*k - 136 = -c - 2*c, m*k = 3*c - 141. Let a = 89 - c. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4441160 (base 7) in base 4?\nAnswer: -2011300112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -6 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (631\/(-17668))\/((-7)\/(588\/15))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-12))\/(-4)*-6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (3 + sqrt(1100) + sqrt(1100))*2)*3)**2*3.\nAnswer: 21600*sqrt(11) + 477900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-3 - 2) - 1. Which is bigger: 13\/2 or k?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/(l*l**7))**22 assuming l is positive.\nAnswer: l**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10978792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 - 12*p**4 + 9*p**3 + 12*p**2 - 12*p.\nAnswer: 3*p*(p - 2)**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -45.9. Let c = 5.9 - k. Let a = -37 + 42. Sort a, -3\/4, c in increasing order.\nAnswer: -3\/4, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388454 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-30)\/(-26) - 2. Let v = 6.4 - 6. Let r = -7 - -6. Put r, v, h in descending order.\nAnswer: v, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in -294, -0.6, 5\/4, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 3. Let m = g - 1.1. Let n = m + 3. Is 2 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 6*d - 12 = 0, -19*d = n - 22*d + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 - 7*k + 5. Let r be u(-8). Which is greater: 5 or r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2361 + -2358. What is the closest to 4 in 11, k, -0.1, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 105. Let w be l(0). Let u be 153 - (-16)\/(8\/2). Let d = u - w. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000834121 rounded to 5 dps?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.41823 - -0.01823. What is the biggest value in 1, 8\/3, 2\/9, p?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1819 + 3799. What are the prime factors of j?\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 0.5? (a) -5 (b) -8 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 - 23*i + 40. Give r(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q - 13*q - 20. Suppose 5*t - q*t - 217 = -3*h, t + h - 221 = 0. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52884 and 108.\nAnswer: 158652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*j**3 - 8*j**2 - 100\/3 + 30*j.\nAnswer: 2*(j - 5)**2*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00498840395 rounded to six dps?\nAnswer: 0.004988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 20. Let m(d) = d - 165. Give -24*f(a) - 3*m(a).\nAnswer: -27*a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 21 + 21 + (-3 + 3 - 2)*(13*f - 10 + 10) + (-2 - 1 + 1)*(1 - 1 - 2*f).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7145.247 nanometers in meters?\nAnswer: 0.000007145247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 6.848?\nAnswer: 6.848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43114626 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 170815, 683248, 1537303, 2732980?\nAnswer: 4270279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000899227989 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84510998489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a - 9*a + 3*a. Suppose 0 = -21*d + 50 + 13. Let i(s) = 14 - 4 - 2 - 8 - d*s. Calculate i(f(u)).\nAnswer: 63*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1445 and 1145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 15738?\nAnswer: 361974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -477, -807, -1137, -1467?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*r*t*v - 47*r*t - 4*r*v + 2*r + 3*t wrt v?\nAnswer: -19*r*t - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 3*f + 20. Solve 3*h - f*h - 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-5)\/(-21)) + -3. Let u(y) = 4*y**3 - y**2 - y + 1. Let j be u(1). Let a = j + o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163645152 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -997293b + 3?\nAnswer: -9972938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 660 and 484.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 2, g: 10}. Give prob of sequence ag.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/(1836\/170) - (-313)\/(-66) and -95\/693.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 - -151. Suppose -u + j = 3*b - 42, 8 = -4*u. Find the second derivative of h - 21*h**3 - 3*h**3 + 25*h - b*h**3 wrt h.\nAnswer: -270*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/20 + 5*x**4\/4 - 2*x**3\/3 - 9*x**2 + 9*x. Calculate the lowest common multiple of 8 and w(-15).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2123*j - 9. Let q(c) = 4*c - 1. Calculate y(q(f)).\nAnswer: -8492*f + 2114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52495.\nAnswer: 5, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 247169029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 8*i**2 - 8*i + 3. Let u(w) = w**3 + 16*w**2 + 15*w. Let t be u(-15). Suppose t = 18*k - 23*k - 2*b + 25, 0 = k - b - 5. What is j(k)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 21*g**2 + 11025*g - 11036. What is x(-526)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 72 = 7*z. Let b(n) = -n**2 + 6*n + 23. Let g be b(z). Let p = g - -138. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 - (-76)\/18. Let n = -15 + 17. Let p = -906 + 907. Put n, p, 0, d in descending order.\nAnswer: d, n, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2673, 5348, 8023?\n\"Answer: 2675*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -436*z + 8699. What is x(20)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 + 8832*d + 17665. Suppose 2*j - 12 = 4*k, 4*j - 18 = 3*j + 5*k. Calculate the remainder when u(-2) is divided by 1\/j - 19\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 3, 55, 149, 297?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39 - 0.09. What is the biggest value in p, -0.3, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - b**3 + 4 + 3*b**3 + 5 + 0 to the form i*b**2 + s*b**3 + m + o*b and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 134 = -3*c - c, -5*t + 97 = 2*c. Let j be (-260)\/5*2\/(-4). Let x = c - j. Calculate the smallest common multiple of 1 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k. Let y = -53 - -55. Let m(w) = -11 + 3*w**y + 17*w**2 + 11. Calculate m(n(g)).\nAnswer: 320*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 + -286. Let o = 55 + k. Let i = o - -55. Sort 9\/2, i, 0, 5 in decreasing order.\nAnswer: 5, 9\/2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13097, 26088, 39079, 52070, 65061, 78052?\n\"Answer: 12991*l + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3331302810 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 <= -0.348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(68)\/(sqrt(4) - (sqrt(4) - sqrt(64)) - sqrt(4)) + -2.\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 985359 and 3.\nAnswer: 2956077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r + 13. Give b(9).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:39 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/((-28)\/(-2)))\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 57*n - 1.\nAnswer: -57*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 e when three letters picked without replacement from jfeeeehs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -40, 3, 229?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, e: 7, a: 1, b: 2}. Give prob of picking 1 q and 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7 + 2*i**2 + 12 + 7*i**3 - 19*i**3 + 5*i**3 - 5*i. Let j(u) = 11*u**3 - 3*u**2 + 8*u - 29. Calculate -5*j(m) - 8*r(m).\nAnswer: m**3 - m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, 12, 5 in decreasing order.\nAnswer: 12, 5, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 56*c + 667. Let z be o(-12). Put 5, 22, 4, 51, z in ascending order.\nAnswer: z, 4, 5, 22, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 21*x + 124. What is f(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 9 = 2*i, -3*i - g = 13108 - 13104 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24920 divided by 24920\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 363 + -366. Let z = 103 - 97. What is the fourth biggest value in 1\/5, 4\/3, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -2*u**2 + 8\/3*u**3 + 11\/3*u**4 + 7 + 3\/20*u**5 + 6*u. What is the second derivative of j(d) wrt d?\nAnswer: 18*d + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7424177 years in decades?\nAnswer: 0.07424177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1.2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120744 = 324*j + 2473*j + 740*j - 183*j for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1, -89\/6, 0.1.\nAnswer: -89\/6, -2\/7, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 59080750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -2184, -4946, -8810?\nAnswer: -13776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - (0 - -1)) + (-394 - -471)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8726, -35143, -79158, -140765, -219958, -316731, -431078, -562993?\nAnswer: -712470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071514771 > 4071514772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 1:48 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*m**2*z**3 - 41*m**2 + 3 with respect to z.\nAnswer: -117*m**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 323437399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 93 = b, y + 17*b - 2 = 21*b. Suppose -q = 2*q - 12. Let u be q\/18 + (-86)\/(-18). Solve -s = -u*g + y, 2*g - 5*g = 4*s - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 48*p**2 - 30*p - 16. List the prime factors of o(-18).\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*((-32)\/(-36))\/(-4))\/((-4598)\/(-2904))?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 174 - 2*n - 61*n**2 - 174 as j*n**2 + k*n + v and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f = 6. Let i be 2750*1\/f*6. What is i rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**2\/4 + 84035*k\/2 - 168075\/4 = 0?\nAnswer: -33615, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 11*y + 22. Let i be n(-9). Suppose i*m - 8 = 0, -3*m + 198 = -t + 5. Let v = -125 - t. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and -0.201.\nAnswer: -0.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 528 and 924?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -768, 0, 2\/71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*v - 0*o - 15, -12 = -4*v + 4*o. What is the second derivative of 5*a**3 + 4 - v*a**3 + 2*a - 4 wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202676 (base 8) in base 7?\nAnswer: 366232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - 11. Which is the smallest value? (a) w (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3)*0)\/(-1). Let p be (-5 - -3 - -165)\/(0 - -1). Let w(v) = 9 + 85*v - p*v + 79*v. What is w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*w - 5726 - 7699 + 4336 = 3651 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x - 97. Let g be s(23). Solve 0 = 4*n + 7*p - 5*p + g, 3*p - 8 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 + 0*g**2 - 4*g**2 + (-4*g + 2*g + 3*g)*(-3*g + 5*g - 4*g) + 12*g**2 - 11*g**2 - 28*g**2.\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3093061 is divided by 110462.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612650472.\nAnswer: 2, 201581309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*f**2 - 512\/3 - 248\/3*f.\nAnswer: 4*(f - 64)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Suppose p = -2*m - 0*m, 0 = -5*p - 4*m. Put p, 1, w in increasing order.\nAnswer: p, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-20530627.\nAnswer: 16424501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Let c be (2 - 0)\/((-4)\/(-10)). Suppose y*w + 124 = 3*l, -c*l - 3*w + 228 = w. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15706 * 0.3\nAnswer: -4711.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u + u - 2*u**2 + 1 - 3*u + (u + 0*u + 0*u)*(2*u - 4*u + 0*u) in the form x*u**2 + t*u + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 339517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*p = -86063, -31069 = -2*l - 5*p + 3360. What is the greatest common factor of l and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 110 + -2?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28677 in -3, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1350, 2715, 4090, 5475, 6870?\n\"Answer: 5*z**2 + 1350*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*s = 38, 3*s - 59 = 3*d - 161. Let k(p) = p + 17. What is the remainder when d is divided by k(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = r. Suppose 0 = q + r*q + 6752. Find the common denominator of q\/160 + 1\/4 and 89\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + (-3 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 48 = x - 5*n, 4*n + 12 = 0. Calculate the remainder when x is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-11)\/((-2926)\/21))\/(3\/(-4)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let b(d) = 98*d**2 + 3*d + 2912. Give b(n(h)).\nAnswer: 98*h**2 + 3*h + 2912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p - 228 = -115*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68 and 11052.\nAnswer: -751536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + v**2 + 73*v**3 - 27*v**3 + 129*v**3 - 405*v**3 - v**2.\nAnswer: -230*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-33 - (-1 - 1)). Suppose -2 = 3*q - n. Let g = q + -4. Calculate the least common multiple of 10 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 + 8*z\/5 + 3.\nAnswer: (z + 3)*(z + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1053 divide 590539340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39591 by 3.\nAnswer: -13197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**2 + 5*m - 6*m**2 + 4*m - 2 - 15*m**2 + 26*m**2 in the form z*m + o + c*m**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2 - 158*v + 19 + 159*v. What is the units digit of u(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18841 is divided by 2091.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10859 is divided by 10004?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49145 and -647.\nAnswer: 48498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-14) - ((-9)\/((-18)\/4))\/(-14). Determine x so that -12\/5*x - 2\/5*x**r + 14\/5 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2690, 4557, 6424, 8291, 10158, 12025?\nAnswer: 13892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k - 4*d + 12, -4*k + 5*d - 256 = -241 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -368299945 minus 2?\nAnswer: -368299947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) + 7650\/(-25160).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 9*g**2 + 45*g**2 - 13*g**2 + g**2.\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6349 - -6352. Solve r + y*r - 28 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and 9062190181?\nAnswer: 9062190194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 30. Give w(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/7 - 202*m**4\/7 + 714*m**3 + 5202*m**2\/7.\nAnswer: 2*m**2*(m - 51)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juh when three letters picked without replacement from ajajhjaaahuuahj.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 less than 36370?\nAnswer: 36406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35861 - -72154. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:40 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564 and 476.\nAnswer: 67116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h, 0 = -0*l + 5*l - 3*h - 584. Let w be 7 - (-4 + l\/10). Which is the third smallest value? (a) 31 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 35, 0.0744, -1, -3, -8, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.2. Let y = -2\/183 - -187\/366. What is the closest to j in 5, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + -12)*10\/6. Let r(z) = -43*z - 24. Is r(w) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11381, 5, 4 in descending order.\nAnswer: 5, 4, -11381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {c: 3, h: 2, o: 1, u: 6, x: 4, m: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.87 + 5.8218. What is k rounded to 3 dps?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/1885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/12*(-16)\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 85. Suppose -x = -9*u + 4*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*d**4*r + 12*d**3*l**3 + 3*d**2*l**2*r + 12*d*l**3 + 5*l**3*r + l**3 wrt d?\nAnswer: 1080*d*r + 72*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44525611?\nAnswer: 13, 3425047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b + 1. Let p = 5 - 9. Let o(h) = -5*h + 1 + 4 + 2 - 6. What is p*r(q) + 5*o(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -r + 4, 0 = 3*s + 6*r - r - 20. Solve s = -4*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 7 = n, 1961421*n + 5 = 1961418*n + 4*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 32 - (-11 - (8 + (-28 - -18)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -649*n + 312*n + 369*n + 8*n**3 + n**2 as q*n + z*n**3 + s + t*n**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from vkvevvvee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - -17.1. Let d = -13.89 + i. What is d rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6) - 98674\/4311) + 21.\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 436.429596?\nAnswer: -398.429596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147 + 232. Let n = 87 - g. Suppose 5*u + h - 273 = 0, -4*u + 213 = h - n*h. What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*s - 46. Suppose 0 = q - 3*q + s. Suppose -q*f + 3*h + 19 = h, -f + h + 5 = 0. Solve -6 = 3*b, -f*z + 2 + 14 = -5*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2 and 31218\/47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*y - 70 = 0, a - 3*y - 17 = 16. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 108.\nAnswer: -5\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:30 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**6\/195 - s**5\/65 - s**4\/78 - 18*s. Factor q(u).\nAnswer: -2*u**2*(u + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14199600652 - -14199600472.00000081. Let r = 3754 + -3934. Let i = r - j. Round i to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 23*t**2 + 25*t - 26. Let u be v(12). Solve 2 = -129*b + u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8 = -95*c + 90*c, c - 24 = 5*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 + 2*j**2 - 328 - 2718*j - 2709*j + 5427*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16364242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14380*v + 5198*v = 97085 - 6253 + 184628 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(1\/5))**(-34)*((w\/(w*w**(-6)*w*w))\/(w\/w**(-6)))**(-3\/4) assuming w is positive.\nAnswer: w**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 99\/(-2)*10\/(-15)*(12 + -9). Calculate the highest common factor of 9108 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 1\/3, -3, -47, 0.12, 4, 13\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.51, 2, 0.13, 5, -0.8, 145, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p = -14 + 110. Let q(w) = -w - 3. Let j(b) = -b - 3. Give p*j(m) - 5*q(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4182 + 4183 - 32*c + 4187 - 12552 + 103*c.\nAnswer: 71*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 191913036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*t*u*y**2 - a*t*y**3 - a*u + 59*a + t*u*y**3 - 136*t*u - 2*t*y**2 with respect to u.\nAnswer: -a*t*y**2 - a + t*y**3 - 136*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/4 - h**3\/2 + 10*h. Find a such that t(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 26 + 7. Let h(z) = 4*z + 2 - 2*z**3 + 4*z**3 - z**c + 3*z**2. Calculate h(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -53*i**5\/10 + 223*i**2\/2 - 106*i. What is the derivative of m(b) wrt b?\nAnswer: -318*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2294 and 55\/121582?\nAnswer: 121582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-4)\/(-816)*6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1495 + 2*n**3 + 1489 - 2984.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67217*x**2 + 12200.\nAnswer: 134434*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 3771493.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*z - 4 = 0, -2*p = -3*z - 0*z - 3. Solve p = -13*a + 9*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 58. Let y be u(30). Solve -y*k + 6 = 2*m, -6*k - 5*m + 13 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 0.3, 1.84, 22, -0.32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 77*b - 1457. Calculate j(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 1 = -28. Sort f, 5, 4.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 2, q: 5, g: 1, j: 2, x: 1}. What is prob of sequence xjv?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2366106 or 2366105?\nAnswer: 2366106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v - 874. Let u(j) = -2*j + 1. Give i(d) + 6*u(d).\nAnswer: -d - 868","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*i**2 - 408*i**2 - 420*i**2 + 1 - 350*i**2 + 1483*i**2.\nAnswer: -73*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 41. Let d(f) be the first derivative of 2 + 0*f + 0*f**g + 1\/3*f**3. Let k(b) = -2*b. What is d(k(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1798, -1814, -1848, -1906, -1994?\nAnswer: -2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.059 and 910.48?\nAnswer: 909.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449 + -2.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -214, -219, -220?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -757*a**3 + 75*a - 2 wrt a.\nAnswer: -4542*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3 - 7*r**2\/2 - 4*r - 8. Let a(o) = 2*o**2 + 5*o + 3. Determine -7*a(j) - 5*c(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041462807 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*y - 8219472 = 0, -4*l - y = -0*y - 10959313. Suppose -218171 = 6*j + l. What is j rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -28. What are the prime factors of 790\/t + (-1 - (-10)\/8)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/77 - (-4)\/2 and 44\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + 4 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -4332894188 and 0.0864.\nAnswer: -4332894187.9136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1916384 to four decimal places.\nAnswer: -0.1916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 1:34 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**13*y**(-2\/5))\/((y\/y**(-4\/11))\/(y\/(y\/y**(-1\/3)))) assuming y is positive.\nAnswer: y**(-2326\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504169 divided by -214?\nAnswer: -1504169\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 3266?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2276)\/194598)\/(3\/(27\/4))\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**5\/5 - 2*v**3\/3 - 13*v - 14. Let t(x) be the first derivative of p(x). Let t(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106189859051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1475 divided by 45738\nAnswer: 1475\/45738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8 + -12 - -1522) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 531 and 5898171?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 667 or 94?\nAnswer: 667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 6*x**2 - 6*x - 10. Let b be m(7). Let y(l) = l**3 + 3*l**2 - 3*l - 3. Let h be y(b). Suppose 3*w + h = k, -k + 2 = w - 8. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i + 0*i**4 + 41*i**2 + 0*i**3 + 2\/3*i**6 - 2\/105*i**7 - 1\/28*i**8 - 4\/5*i**5 + 0. Let q(c) = 0. Calculate c.\nAnswer: -3, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9524 = -a, 36*a - 31*a - 2*q = 47629. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8636 (base 9) to base 6.\nAnswer: 45223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001000 (base 2) in base 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*i + 23, 2*i + 5*v = i - 15. Suppose -i*d + 2*d + 1 = 5*h, 4*d = -h - 10. Solve 0*g = -3*g + 5*r - 13, 3*g = -h*r + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (sqrt(50) - ((sqrt(6050) - 3*sqrt(6050)) + sqrt(6050)) - sqrt(50)) - sqrt(50))\/(sqrt(250)*2))**2.\nAnswer: 121\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.093, 2\/31, -1\/5.\nAnswer: -1\/5, 2\/31, 0.093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2. Let y = 62 - 60. Which is the third smallest value? (a) w (b) y (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 924 and 105756?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-948)\/(-40)*2 + 2\/(-5) and 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-20)\/(-48))\/((-1)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 11 = 409. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61582022*r**3 - 95538329*r**2 wrt r.\nAnswer: -369492132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -4 - 4\/(-2). Let w = -3615 + 3615. Solve -4*p - b*d - 5 = w, 0*d = -5*p + d + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -4, 0.04, 2\/3, 0.06?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 27*f**2 + 10*f + 63. What is the thousands digit of m(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 1 + 0 - 6*y**3 + y - 5*y**3 to the form n + j*y + v*y**2 + s*y**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.604903 to 2 dps.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + 25. List the prime factors of y.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 4498 - 11*o + 11021 - 3262 - 3261.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 189, 757, 1703, 3027, 4729, 6809, 9267?\n\"Answer: 189*k**2 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*-1*1080\/1600*-10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 7*y + 10. Let b(h) = h**2 + 3*h - 5. Let a(n) = 5*b(n) + 2*f(n). Let l be a(4). Let j = l - -29. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 38, -0.663, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*m**2 + 1023*m**2 - 516*m**2 + 75651*m**3.\nAnswer: 75651*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -102, -185, -282, -387, -494, -597, -690?\n\"Answer: r**3 - 16*r**2 - 22*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (1 - 16\/(-4)) - 1. Find the second derivative of 24*p + p**3 + 47*p + 44*p**4 - p**k wrt p.\nAnswer: 528*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 62*f**2 + 6526*f - 32609. What is c(5)?\nAnswer: 1571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 74.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.03 (c) -6 (d) 4 (e) 3 (f) -1.0228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 53. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 747 - 737 - (-20 + 1 + 2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-16665))\/(6\/15). Let h = b - 46701\/28886. Let w = h - -809\/26. What is the common denominator of w and 44\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1667*b + 111590. Determine z(68).\nAnswer: -1766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/z*z\/z**18*z)\/((z\/z**(-11))\/z**(1\/4)))**(-32) assuming z is positive.\nAnswer: z**824","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4796 and 616?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.088\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -242.69 + -5\nAnswer: -247.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 119*f + 177*f - 11840. What is the highest common divisor of 3560 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/(g*g*g**(4\/3)\/g*g)*g)\/g)\/g**4)\/((g*(((g**(-3\/2)\/g)\/g)\/g)\/g*g)\/(g*g\/g**1)) assuming g is positive.\nAnswer: g**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21519400 by -45304.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7658 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/70)\/(-5*12\/(-75))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*m = -707, -m = -4*y + 2*y + 284. Suppose -2*z = 5*w - y, -w = -4*z + 11 - 44. Suppose 0 = -5*a + w - 14. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155.47 - -156. Let r = 0.47 - z. Which is the fourth smallest value? (a) 0 (b) 1\/2 (c) r (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75422 = 35*z - 66118. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/15 - k**4\/24 + 51*k**2 + 2*k. Let f be s(-2). Which is the nearest to 0? (a) -0.01 (b) 3\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: What are the prime factors of 1457409?\nAnswer: 3, 167, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -156352332 (base 7) in base 14?\nAnswer: -15b3b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*f**4 + 425*f**3 - 425*f**3 + (-12*f**2 - 13 + 13)*(-2*f**2 + 3*f**2 - 4*f**2) - 20*f**2 + 20*f**2 - 4*f**4.\nAnswer: 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 6. Determine m(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let c be (-3)\/4 + (-297)\/(-12). Suppose i = -3*i - c. Let x(y) = 7*y - 2. What is i*h(k) - x(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18855 and 3240.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 196? (a) -3 (b) 5 (c) 114\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Express (2*x - 542 + 1022 - 695 + (-3*x + 3*x + x)*(4 + 0 - 2))*(25*x + 9*x**3 - 25*x) in the form b*x + r + f*x**4 + a*x**3 + g*x**2 and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81707490 a multiple of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 120841 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046*y**3 + 503*y**3 - 2042*y**3 - 324*y**3.\nAnswer: -2909*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/28)\/(2\/(-7)). Is c >= 2\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2654, -2499, -3 in decreasing order.\nAnswer: -3, -2499, -2654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a + 383. Let f(q) = q - 35. Let r(w) = 11*f(w) + y(w). Let b be 8 + (-3)\/(-3)*2. Determine r(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**4*n + h**3*n - 3*h**3 + 16*h**2*n + 4*n wrt h?\nAnswer: 72*h*n + 6*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 - 11*x + 70. Calculate r(17).\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 1:00 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 4 - 566*(-2)\/(-8). Let y = b - -140. Calculate the common denominator of y and 47\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1431 + 1429. What is the fourth smallest value in t, -1\/3, -5, -21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4574 - -4645. Which is the nearest to 0.2? (a) 5 (b) -3 (c) 2\/7 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 56, 102, 164, 248, 360, 506?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-395)\/(-158)*(-28)\/(-30)*(56 + -2) and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let o(v) = v**3 - 4*v**2 + v - 3. Let j be o(4). Let x(h) = 6*h - 36*h + 12*h + 12*h + 4*h. What is j*x(d) + 3*k(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/11 + 30*m**3\/11 + 282*m**2\/11 - 646*m\/11 + 336\/11 = 0 for m.\nAnswer: -8, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7230 divided by 2?\nAnswer: -3615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Suppose 80 = 3*i - 0*i - 2*j, v*i - 95 = 5*j. What is the least common multiple of i and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4059\/4 (b) 36 (c) -7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 100*b + 324. Let n(g) = 18*g + 59. Let l(z) = -5*m(z) + 28*n(z). Let v be l(-6). Solve 5*q - 2*a + 21 = 0, 3*a - v*a = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89467002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 18563.67154 to the nearest 100.\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.848 rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5 - 4 + 14 - 9*q + 12. Let r(m) = 4*m - 13. Let c(v) = -6*l(v) - 13*r(v). Let n be c(-3). Calculate the highest common divisor of 7 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 1. Let k(u) = -36*u + 16. Let v(p) = p**3 + 7*p**2 - 4*p - 44. Let h be v(-6). Determine h*c(w) + k(w).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 12. Suppose -41*v = -37*v - o. Suppose 4*g = 1 + 3. Calculate the remainder when v is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t - 9*t + 4*t to n*t + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 31*n - 386 = 20*n - 14*s, 4*s + 10*s = 378 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5039 divide 5104678326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2303*f. Let o(h) = -h**2. Give o(n(d)).\nAnswer: -5303809*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -19 - 609*m**2 + 14*m + 1239*m**2 - 629*m**2. Calculate w(-17).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38426 - -328\nAnswer: 38754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1336*y = 25318 + 5176 + 38069 + 31637 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 not equal to 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/42867808 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 394*b - 368. Let s be w(1). Let j(r) be the third derivative of 0*r**3 + 0*r + s*r**2 - 1\/60*r**5 + 0 + 0*r**4. Let d(g) = -g**2 + 20. Give d(j(o)).\nAnswer: -o**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*c - a, 48*a = -2*c + 51*a - 2. Solve 0 = c*o - 114 + 112 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 25, -10 - 11 = 2*u - 5*j. Let q(x) = 9*x**2 - 36*x + 68. What is the least common multiple of q(u) and 4*4\/((-8)\/(-5))?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*q + 162 = -1158 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - w**3 - w**3 + (64*w**2 - 17*w + 17*w)*(2*w + 3*w + w) in the form z + g*w**3 + c*w + m*w**2 and give g.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, r: 1, s: 1, z: 1}. What is prob of picking 1 c, 1 h, and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -156958, -313916, -470874, -627832, -784790?\n\"Answer: -156958*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123276 (base 10) in base 11?\nAnswer: 8468a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2453*f + 1525*f = 728*f - 247000 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120837 is divided by 332?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63848*a**2*d**3 + 2*a**2*d**2 + 3*a**2*d + 7*a*d**3 + 24570*a*d wrt a?\nAnswer: 127696*d**3 + 4*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963150 < 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/12 and 77\/620.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*a*n**3*u**2 + 4*a*n**3 - 13*a*n**2*u - 3*n**3*u**2 + 14*n**2*u**2 - 3*n**2*u wrt n?\nAnswer: 708*a*u**2 + 24*a - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02728 less than 309462?\nAnswer: 309462.02728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 745910.824 rounded to the nearest 10000?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 561 and 198891?\nAnswer: 3381147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l - 16. Let x be m(4). Solve -4*h + y - x = -y, -2*h + 2*y = 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(13\/((-156)\/(-48))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -262.3 - -262.3. What is the nearest to w in -2\/5, -2, 6\/85?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*b = -841*b - 12282 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2304\/49 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35096?\nAnswer: 2, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 330831839 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311367465, -311367462, -311367459, -311367456, -311367453?\nAnswer: -311367450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*t - z, -3*t + 3*z = -2*t - 15. Let n be 3461\/35 + (-4)\/(-10). Let p = n - 99. Which is the closest to t? (a) 0.3 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23068 + 1.\nAnswer: 23069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k. Let g(h) = 2*h**2 - 3*h. Let a(r) = -11*r**2 + 17*r. Let z(b) = -6*a(b) - 34*g(b). Give n(z(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1987 - -1973. Let j = 0 - -2. What is the third smallest value in 1, 0.5, s, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -20*y**3 - 28*y**2 + 4*y + 12 = 0?\nAnswer: -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -309, -623, -939, -1257, -1577, -1899, -2223?\n\"Answer: -n**2 - 311*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/41375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j - 9. Let v be n(-1). Let c be (v\/(-2) + 1)\/(5\/180). Suppose 5*l - c = -4*l. Solve s - 2 = l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**2 + 10*r + 13. Let q(g) = g**2 - 1. Let s(f) = -p(f) - 5*q(f). Is s(12) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61697104?\nAnswer: 2, 7, 19, 79, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*k + 71 = 0, k + 2 = 1. Let u = n - -35. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/19 in -3\/4, -4\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3107 - -3092. Let i(z) = 2*z**2 + 30*z - 7. Give i(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18795503 from 6614.\nAnswer: 18802117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(396) - -4*(-3*sqrt(396) - sqrt(396))) - (2 + 1 + sqrt(396))*2)**2 + 1.\nAnswer: 1224*sqrt(11) + 114481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-297))\/((-130)\/5070) + 12\/(-27)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 8*h**2 + 7*h + 3. Let p be j(7). Suppose p*d - d = 54. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 6, -2*f - 3*z = 3 - 84. Solve 0 = -41*t + f*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1259 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96567 = -10*k - 96587 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let j be c(1). Suppose w - 4 = j. Suppose -5*g + 4*m + 3 = -0, -2*g = -4*m + w. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001110067 to seven decimal places.\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9 and -13\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 27*g - 30. List the prime factors of r(12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**4 - 70*u**3 + 30498*u**2 + 225356264*u.\nAnswer: 36*u**2 - 420*u + 60996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 219.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 2394514 + 2394514.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1309, 106, -1681, -3872, -6287, -8746, -11069, -13076?\nAnswer: -14587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 39 = -7*a + 4*t, -5*a + 0*t = -3*t + 33 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/19 (b) 3 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8836868 + 5267868. What is s rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.2 - 12.3. Which is the third biggest value? (a) 0.4 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g**5 + 7*g**5 + 5*g**5)*(5 - 2 - 1).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 249008, 498032, 747056, 996080, 1245104, 1494128?\n\"Answer: 249024*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 366 + -235. List the prime factors of x.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 10*k - 65256 = 12*k, 0 = x - k - 13047. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-837)\/(-972) - (-40)\/(-36). Let r = 0.1 - 0.2. What is the biggest value in h, r, 14, -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112838601 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 34 + 14. Suppose j - 5*j - y = -5*f, 18 = 5*f - j. Suppose -40*a + 498 = 209*a. Solve a = -s + f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 - (-10)\/4. Let r be (j - 1)\/((-2)\/6). List the prime factors of r - -14 - (-1 - -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*(-34)\/(-748)*(-4)\/58?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1791*z**2 + 1 - 1 - 1499*z**2 - 291*z**2 + 0.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 5*i = 16. Let o be (-3)\/(i\/(2 - 4)). Which is the third smallest value? (a) 0 (b) 2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12101, 24184, 36251, 48302, 60337, 72356?\n\"Answer: -8*u**2 + 12107*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 1. Let r be 4\/(-8) + (-1)\/((-2)\/(-7)). Let n be j(r). Let v(o) = o**3 + 4*o**2 - 6*o - 5. Calculate v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1483 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4619*o**2 + 9255*o**2 - 4625*o**2. Let v(r) be the second derivative of 2*r**4\/3 - r. What is v(x(w))?\nAnswer: 968*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g = -8. Suppose g*s - 120 = -2*s. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/5 of a week?\nAnswer: 58464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 820, -9, 1\/5?\nAnswer: 820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271316*o**3 - 3620085*o**2 wrt o.\nAnswer: -1627896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/1171 (b) -5 (c) -651 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvovvmvozznoomvvzznv. What is prob of sequence oo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 403 - 403. Let a(f) = -f**3 - f**2 + 42491. Is a(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 29*z + 0*z**2 - 58*z - z**2.\nAnswer: -2*z**2 - 87*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 + 47*l**2 - 244*l + 32. What is the remainder when 546 is divided by q(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 343806000 to the nearest one million.\nAnswer: 344000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -6\/167 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**6\/30 + 51*n**5\/20 + 47*n**4\/2 + 274*n**3\/3 + 180*n**2 + 3704*n. Factor s(u).\nAnswer: (u + 2)**3*(u + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) -4 (c) -84.9019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7107 and -117?\nAnswer: -831519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 36 - 16 + 6*l - 18 - 3*l.\nAnswer: 3*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 3*h + 1. Let r(j) = 9*j**2 + 8*j + 2. Let d be r(-2). Let q(f) = 4*f**2 - 11*f - 3. Give d*i(p) + 6*q(p).\nAnswer: 2*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1025*i - 2. Let k(z) = -3082*z - 8. Give -2*k(g) + 7*m(g).\nAnswer: -1011*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7446?\nAnswer: 2, 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwwcccww. Give prob of sequence www.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 - -170. What is the units digit of 764\/s + (-56)\/(-84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/8)\/((-3)\/4) - -1. Let l(p) be the second derivative of 0 - 1\/3*p**4 + 0*p**2 + z*p**3 + 3*p. Let q(b) = -3*b**2 + 3*b. Determine -4*l(k) + 5*q(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let y(h) = -28*h**3 - 2*h**2 + 2*h + 2. Let j be y(-2). Let l be -23 + 28 - 1074\/j. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**3\/6 + 4*t**2 + 3*t. Let n be m(-5). Suppose -3*j + 126 = n*j. Calculate the lowest common multiple of j and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/720 - 3*f**5\/20 + 19*f**4\/6 + f. Let i(q) be the third derivative of m(q). What is i(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 + 3*x**2 - x + 5. Let f(w) = 5*w**3 + 3*w**2 + 5. Let h(n) = 4*d(n) - 5*f(n). Is h(-4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n**2 + 1119*n - 79. What is g(-40)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 4:09 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 7*x - 2. Calculate k(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 702.8213ug?\nAnswer: 0.0000000007028213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 258, 365, 1\/3?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118 is divided by 147.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4140 and 20070?\nAnswer: 923220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725817?\nAnswer: 3, 241939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.4. Let q = -0.07 + 0.15. Let p = q - 0.15. Is p != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 848 - 838. Let z = -11 - -15. Suppose -z*r + 6 = -r. Solve i - r = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 4*s + 2. Let w be j(2). Let f(m) = 4*m + 24. Let p be f(-7). Sort 3, p, w.\nAnswer: p, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23042243 - 23?\nAnswer: 23042220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 6*v + 64 = 0. Let g(r) = -15*r + 29. What is the tens digit of g(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 - 3*l - 4. Let o(m) = m + 1. Let r = 2294 - 2299. Give r*o(f) - s(f).\nAnswer: 4*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -26. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180341*286.\nAnswer: -51577526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/97845306 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 187030*p - 2991200.\nAnswer: -5*(p + 16)*(p + 37390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:00 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 21*k**2 - 20*k + 6. Give u(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1034.73 and 7.6.\nAnswer: -7863.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -107*g. Let z be t(-2). Let r be 3\/(-2)*(0 + 2). Calculate the common denominator of z\/36 + (-1)\/r and -113\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -97\/3 (b) 1 (c) 1\/2 (d) 1\/3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9916 + -0.0084. Let u = 4 - 8. What is the nearest to m in -2, u, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w**3 - 5*w + 1. Let a(o) = 7*o**3 - 2*o + 1. Let i(f) = -5*a(f) + 2*q(f). Let p(j) = -24*j**3 - 14. Suppose 6*s = 3*s - 42. Give s*i(b) + 3*p(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1074 - 1074.5. Let z = 0.036 + 2.964. Which is the third smallest value? (a) z (b) 4 (c) m (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*c + 13, -a + 2*c + 5 = -11. Let h(g) be the third derivative of 0 + 0*g - 1\/24*g**4 + a*g**2 - 2\/3*g**3. Determine h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0 + 1\/4*f**4 + 7\/2*f**2 + 10*f - 8\/3*f**3. Let i be c(5). Solve i*d = t - 4*t - 1, t = -3*d - 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -904*v - 2*n - 51 = 898*v - 1801*v, -102 + 23 = 4*v + 3*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 9. Let t be i(-5). Suppose -2*j + 18 = 4*f, 2 = 3*j - f - t. Solve -j*r = -r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 18, -0.4, 4\/3, 3\/8, 72 in ascending order.\nAnswer: -0.4, 0.2, 3\/8, 4\/3, 18, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 + 4*c + 2. Let t be g(2). Let w(y) = y + 7. Let o be w(t). Put 2, 1, 0, o in ascending order.\nAnswer: o, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2193)\/102 + (4 - 3)*(-4)\/8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o**3 - 68*o**2 + 5*o + 48. Give f(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*j + 7*j. Solve j*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 + -2.6. Which is the nearest to -1? (a) 5 (b) x (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -184, -238, -292, -346?\n\"Answer: -54*j - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - 0.69. What is n rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w**15*w))\/w))\/w*w\/w**(3\/22))\/(w**(-15)*w*w*(w*w\/(w**(32\/3)*w)*w)\/w) assuming w is positive.\nAnswer: w**(2609\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1210263 millennia in centuries?\nAnswer: 1.210263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(396) - (3 + sqrt(396)*-2))*-3 + (6*(sqrt(396) - (sqrt(396) + 0)) - ((sqrt(396) - (0 + sqrt(396))) + -3))**2)*3)*4.\nAnswer: -648*sqrt(11) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 - 7*u**2 - 9*u - 10. Let k(b) = -3*b**3 + 7*b**2 + 9*b + 10. Let m(r) = 3*k(r) + 2*o(r). List the prime factors of m(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/25 + 1\/100. Let m = -2.7 + 0.2. Let s = 2.8 + m. What is the closest to -1 in i, 0.4, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*q**(-5)\/q)**(20\/11)*((q**(2\/5)*q)\/(q\/((q\/q**(-2\/9))\/q)))**(22\/7) assuming q is positive.\nAnswer: q**(-1732\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 1. Let j(s) = -s**2 + 7*s - 4. Let t(p) = -7*h(p) + 2*j(p). Let f be t(-1). Sort f, -2, -1\/2 in decreasing order.\nAnswer: -1\/2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20\/77 - -3\/308. Put 2\/5, 2, 1\/2, j in ascending order.\nAnswer: j, 2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409355427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620.6966 decades to centuries.\nAnswer: 62.06966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dufysdfsypdspd. What is prob of sequence fpp?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*g**2*q + 18*g*q**2 + g + 2*q**2 + 677 wrt g?\nAnswer: 14*g*q + 18*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.378 + 1.608. Let l = o - -13.7. Let u = l - -1.06999909. Round u to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(33)\/sqrt(3)*6 - (sqrt(1100) + sqrt(1100) + 0)) + -5 + sqrt(99)*-4)*5)**2.\nAnswer: 104000*sqrt(11) + 2984400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 800.05804 + 40.53268. Let m = 864.59 - o. Let r = -24 + m. Round r to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11223002.\nAnswer: 2, 7, 829, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at least as big as 915\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, t: 2}. Give prob of sequence ssts.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -13 - (11 + -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -244, 5, -1, -2, -2\/59 in decreasing order.\nAnswer: 5, -2\/59, -1, -2, -3, -9, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 20*b + 4*b + 42.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864*l = -3870*l + 384768 for l.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.22 - -0.22. Let z = -0.1 - -0.1. What is the closest to -1 in z, d, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*f - 4 = -2*q, 3*q - 2 = -2*f. Let s be (-14)\/35 + (-15402)\/(-5). Suppose -4*m - 10183 - 2212 = -w, -m + 4*w - s = q. Round m to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 16*m + m + 24*m.\nAnswer: 53*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*w**3 + 119*w**3 + 110*w**3.\nAnswer: 125*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 28660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) -4 (d) -2\/3 (e) -2 (f) -3\/2 (g) 2\/1265\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 5*k**7\/14 + 7*k**4\/4 + 3*k. What is the third derivative of m(i) wrt i?\nAnswer: 900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 7 + 2*w**2 + 977216*w**4 - 977218*w**4 - 47*w + 3*w**3 in the form s*w + v + g*w**4 + q*w**2 + b*w**3 and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2*c - 15. Let r = -2792 - -2796. Determine x(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4129 - -4129. Let m(h) be the third derivative of 0*h**4 + 0*h**5 - 1\/2*h**3 - 7\/120*h**6 + 0*h + 10*h**2 + a. Differentiate m(l) wrt l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138592*s**2 - 140877 wrt s.\nAnswer: 277184*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/12 - 7*r**3\/6 - 5*r**2 + 8*r. Suppose -5*d + i + i + 48 = 0, -5*i - 4 = 2*d. Determine a(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1. Let c(b) = b + 1. Let d(x) = -2*x - 22. Let t(h) = -6*c(h) - d(h). Let g(m) = t(m) - 12*z(m). Differentiate g(l) with respect to l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 946 - 21755\/23. Let r = -13 - -15. Let y be -3 + (r - (1 + -1)). Is y at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530702277, -530702275, -530702271, -530702265, -530702257, -530702247?\nAnswer: -530702235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(((-12)\/33)\/(372\/682)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.787 times 3?\nAnswer: -2.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-56)*6*26\/39.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 - 6*q - 4. Let c(y) = 2*y**2 + 9 - 2*y**2 - 11*y**3 + 13*y. Let v be 21\/6 - 2\/(-4). Give v*c(o) + 9*h(o).\nAnswer: o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 7*g - 9. Let v be i(4). Let h(x) = 0*x**3 - 3*x**3 + 2*x**3 + 4 - v*x**2 + 1. Let o be h(-3). Solve -t - 16 = -5*t + a, 5*a + o = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -32*j. Let r(l) = -158252*l**2. What is r(z(y))?\nAnswer: -162050048*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45.7? (a) -23\/5 (b) -5.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4274784.625+3\nAnswer: -4274781.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4 = -m, h - 3*h = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 24200 (c) -1 (d) 41 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*i - 28 + 38, -4*i + 8 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) -333 (d) -3\/4 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 649*c**3*y - 2*c**2*y + 136*c**2 + 3*c*y wrt c?\nAnswer: 3894*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - x - x + 0 + 0 + (0 + 0 + 2*x)*(4 - 3 + 1))*(-x + x - 2*x).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50040 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*m**2 + 0 + 2\/5*m + 2\/5*m**3 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*l - 85 = -74*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let l(d) = 10*d + 286. Give a(l(q)).\nAnswer: -20*q - 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**3 + 5*d**2 - 6. Let l(r) = 625*r**2 - 7*r**3 - 2 + 9 - 2 - 629*r**2. Determine -4*j(z) - 5*l(z).\nAnswer: 7*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 - 3*a**2 - 2*a + 7. Determine s(3).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 2*v**2 + v - 3. Let o be p(3). Let d be -2*5\/6*o. What is the least common multiple of (36\/15)\/((-3)\/d) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(2\/9)\/k*k))\/k)\/k*k**4)**39\/((k**0)**7)**45 assuming k is positive.\nAnswer: k**(325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l + 10 = 0. Let w = -11715 - -11717. Solve -l*n + 0*n = -w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6.3 (b) -4 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbyjr. Give prob of sequence bpp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13950 and 200?\nAnswer: 55800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221973 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105665374, 105665372, 105665370, 105665368, 105665366, 105665364?\nAnswer: 105665362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*z = 714, 203 = 5*l - 5*z - 687. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7042, -14085, -21128, -28171, -35214, -42257?\nAnswer: -49300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -25, -41, -63, -91?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*f - 6 = -4*f, -2*f - 64 = -4*w. Suppose -5*y = -485 + 90. What is the remainder when y\/2 + 5\/10 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/30 + h**4\/6 - h**3\/9 - h**2 - 13*h. Factor b(v).\nAnswer: 2*(v - 1)*(v + 1)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3992421.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(3\/7))**5\/(z**(-1\/27))**43)**(-1\/65) assuming z is positive.\nAnswer: z**(-2596\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n*n)**0\/(n**(-1\/3)\/n)**(-2\/101))**(-4\/25) assuming n is positive.\nAnswer: n**(32\/7575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/16 - (-41)\/4. Suppose -5*r + 4 = -7*r. Let g be r\/20*-4*(-2 - -52). Calculate the greatest common factor of b and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*p + 1011*p + p**4 - 209*p**5 - 204*p - 55*p**5 wrt p?\nAnswer: -5280*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91271214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990 a factor of 250456445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 7*t + 94. Give a(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -3. Suppose 0 = 5*s + 1 - 16. What is the nearest to 3 in d, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*s - 36 = 0. Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*h = -777*h - 25200 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4)*(-1)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-5 + 59 - 2). Suppose -3*g + 168 = -g. Calculate the highest common factor of t and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 827, 0.03?\nAnswer: 827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b - 0. Is b smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a micrometer in nanometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311 + 204 - 535 - 116 + 16*i**3.\nAnswer: 16*i**3 - 758","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.21, 0.08, 388, 3, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 147*t**2 + 1346*t + 214. Calculate s(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 11. Let l(d) = 0*d**2 + 7*d**c - 4*d**2. Let k(j) = -3*j. Determine l(k(u)).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8416\/45 - -187. Let t = 2\/9 + w. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 666026574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3564333, -3564370, -3564407?\n\"Answer: -37*a - 3564296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j + 2*v - 18 = 0, -4*v = -3*j. Suppose -3*m = -a + j, 2*m + 4 = -0*a + a. Suppose -2*h = -m*h + 2. Which is greater: h or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -18 - (-2 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43155\/43 at least as big as 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*w - 4*x, 3*w - 32 = -2*x + 7*x. Solve -1 = -w*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + l**3 + 2*l**5 + (l - 3 + 0*l + 1)*(-3*l**4 + 0*l + 0*l).\nAnswer: -l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 6 - 38 = 0. Suppose f + 78442 = 2*o, 3*o - c*f + 5*f = 117663. Let w = -84221 + o. Round w to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a - 46. Let y be i(6). Suppose y*l - 1234 = -3*o, -2*l - l - 1651 = -4*o. What are the prime factors of o?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 - 3*j**2 - j. Let d = 3 - -3. Let q be -4 - (0 - d\/3). Calculate the remainder when 85 is divided by c(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 4:48 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 20. Let g = 0 + s. Calculate the remainder when g is divided by 0 + (-5)\/((-20)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -839 + 1236. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193748 - -193724.5898. Let z = y + 23.3. What is z rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79315253 + 137*j + 79315253.\nAnswer: 137*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46 + 10035*o + 51*o**3 - 10035*o wrt o?\nAnswer: 153*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 19. Let g(p) = 2*p - 29. Suppose -93*q - 560 = -23*q. Determine q*t(r) - 5*g(r).\nAnswer: -2*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**2 + 20*b + 36. Let h be o(-2). Let k = -66 - -5. Let m = h - k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3381*f + 2 + 30*f**2 - 3311*f - 8*f**2 to the form w + o*f + v*f**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -45*t + 41*t + 21, -3*t + 33 = -5*p. Solve -4*b + 4*v = -20, -2*b + v + 9 = t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 = -28. Calculate the highest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 550334 + -53133?\nAnswer: 453201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53377927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**3 - 1. Let h(j) = 27*j**2. Calculate z(h(n)).\nAnswer: -2187*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.788 + -14.8.\nAnswer: -8.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -6)\/(-3 + (-172)\/(-56)). Suppose -y + 2*y + 13 = 0. Let q = c - y. Which is smaller: 4\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (217\/(-28))\/(1*(-22)\/(-88))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 2*a - 6. Let x(j) = 1. Let m(i) = l(i) + 6*x(i). Let h be m(-4). Suppose 4*s + 2*o - h = 0, 3*s = -0*s + 5*o + 19. Solve f + 8 = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3592290 divided by 9211?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1095298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from buibqigsbuu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-4*l - 2*l + 3*l) + 5*l - l + l - 3 - l + 3.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.511 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 187958866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - (22 + -10 - 10)) + (-21 - (17 + -27))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37252.2 - 37252. Let p = 0 - 0. Let z = p + 0. Put r, -0.4, z in ascending order.\nAnswer: -0.4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/4, -0.5, -1537, 0.1, 27, 0.2?\nAnswer: -1537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, d: 1}. Give prob of sequence bb.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(2\/114). Let k = t - 21. Let p be 4 - 1 - 2\/k. Solve p*f = -0*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 262 + 15 = 0. Let w(t) = 37*t + 4 - j*t + 22*t. Let d(s) = -2*s**2. Give w(d(c)).\nAnswer: -80*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -410 + 1077. What are the prime factors of t?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -27. Let l = 15715242\/55 - 285740. Let j = l - -74\/11. Put -1\/3, z, j in decreasing order.\nAnswer: z, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 31479 - 117444 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*h - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -16*k + 156. Calculate f(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from uexlwwww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 6*j**2 + 4*j + 5. Let r be q(-5). What is the highest common divisor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 11*u + 9. Let q be v(-5). Let z = q - -18. Find the common denominator of 89\/44 and 594\/240 + (-6 - z)\/3.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5704444 is divided by 36334.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 69*t**3 - 112*t**2 - 3*t + 3. Let a(f) = -139*f**3 + 223*f**2 + 5*f - 5. Let i(v) = 6*a(v) + 10*w(v). Find the third derivative of i(k) wrt k.\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*x - 0*x - 326, -4*g = x - 78. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v - 2 = 0. Let z be 3\/(-6)*(-4)\/(-11). What is the closest to v in -0.5, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let u(y) = 71*y**2 + y. Let j be u(-1). Let z = 9 + j. Let f(r) = -z + 79 + 3*r**2. Determine q(f(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 23 = -2*z - 5*d, -4*z + 4*d = 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 855.68 - 838. Let x = 59 - 42. Let u = b - x. Round u to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 13. Let o be j(-8). Suppose -16*l + o*l - 9 = 0. Factor 3*a**l + 27 - 35*a**2 + 20*a**2 + 9*a + 0*a**3.\nAnswer: 3*(a - 3)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 - (9 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 0.04345?\nAnswer: 0.04345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638615589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 573*m**2 - 285*m**2 - 274*m**2. Let j(l) = -57*l**2. What is j(s(y))?\nAnswer: -11172*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 3:24 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.499 times -1?\nAnswer: 209.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -144.3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4152 - 1393 + 2*i**2 + 2540.\nAnswer: 2*i**2 + 5299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477963 is divided by 1306.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35641.\nAnswer: 29, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 653*y**2 + 9884*y + 1746. What is v(341)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/sqrt(180))\/((sqrt(240)\/sqrt(6))\/sqrt(10)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23*2235\nAnswer: -51405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 6, 154 in ascending order.\nAnswer: 2\/13, 6, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 (base 15) in base 12?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - q**2 - 9*q + 3. Determine o(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3.4. Let d = -6.46 - -1.46. Let v = 21 + -41\/2. Which is the biggest value? (a) d (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 + 53. Let x = j - -167\/2. What is the nearest to -1 in 3\/5, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/835 and 28\/167.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 230660 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 28118178?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*0 + 10755. Let b(m) = -m - 6. Let i be b(-6). Suppose 4*a - 3245 - x = i. What is a rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 12 = -6*m. Let q be (m + -1)*6\/6. List the prime factors of 62*-2*(2 + q)\/(-4).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 465644 or 145?\nAnswer: 465644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.039811009546637 + -0.3.\nAnswer: -0.339811009546637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 407 and 2072.\nAnswer: 22792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**4\/12 + k + 1. Let s(y) be the first derivative of n(y). Let u(f) = 2*f. Determine u(s(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-11)\/(11\/5))\/((-50)\/1860) is divided by 53?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212012 - 122121112?\nAnswer: -112202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u**3 - 69*u**2 + 17*u - 6. Let y(f) = -7*f**3 - 23*f**2 + 6*f - 2. Give -4*g(l) + 11*y(l).\nAnswer: 3*l**3 + 23*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17203 times -98822\nAnswer: -1700034866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7011 - -544\nAnswer: 7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241681806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11 - 15 - 3*y + 1. Suppose 4*m = w - 13, -w + 14 + 1 = -5*m. What is i(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8869899*k - 13471798.\nAnswer: -8869899","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (670\/(-67))\/((-5)\/5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89568 divided by -2799?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20200 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 6*t - 12 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1245 and 8895.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14237615 a multiple of 1900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccfc. What is prob of picking 3 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/2433 and -29\/177609.\nAnswer: 177609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3695054.\nAnswer: 2, 11, 53, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -7 - (2 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen thirds of a week?\nAnswer: 53760","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*q + 105, -5*q + o = -q - 96. Let k = q - 5. Suppose -3*j = -288 - 132. Calculate the greatest common divisor of k and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5626 equal to 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*n - 2. Let h be (3 - 4)*n*5. Suppose -20 = -y - 2*p, -2*y + 2 + 38 = h*p. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18232 - 18209 + 920*s + 36440.\nAnswer: 920*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9067229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - -2755573?\nAnswer: 2755589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 + 23*a**2 - 225*a - 1667. Determine d(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4854 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*(7\/28)\/((-9)\/(-1620))?\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*s - 18 = 0, -3*c + 5 = 2*c + 2*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/12 and -41\/570.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18700 is divided by 8703?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + 0. Let w be ((-3)\/(-10))\/((-48)\/20). What is the third biggest value in u, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*(w\/(w*w**(-2\/37)))\/w*w*w*w*w**(-9\/5)*(w*w**(-1\/2))**(-15) assuming w is positive.\nAnswer: w**(-1941\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -4. Let b be -2*s\/(-9) + 0. What is the second biggest value in 3, b, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 2, b: 1, u: 2}. Give prob of picking 1 d and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1)\/((-2)\/4). Let s = 17 - 14. Suppose -5*x = -2*p - 21, s = -2*x + o*p + 21. Solve -x*v - 4 = 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100 + -10110?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 32. Let p(t) = -t + 2. Let f be p(0). Suppose -5*g = 2*q - 15, -f*g + 4*q = 3*q - 15. Solve 2*d = -3*w + 7, 0 = -g*d - 0*w + w - j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -670, 1\/2, 8 in decreasing order.\nAnswer: 8, 1\/2, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (4 + (sqrt(612) - sqrt(612)*1)))**2*1.\nAnswer: -48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:47 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -347.8257753 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2 + 7398*n**2 + 12*n - 7411*n**2 - 1. Let c(j) = -20*j**2 + 18*j - 5. What is -5*c(g) + 8*q(g)?\nAnswer: -4*g**2 + 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*q - 1050008, -q - 840008 = -4*h - 5*q. Suppose -3*s + 4*s = h. Round s to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a7372 - 11?\nAnswer: 7a7361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244754*d + 244758*d - 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 33, 66, 117, 192, 297, 438, 621?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7371819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 + 7*u**2 - 2*u**2)*(-8*u - 2*u + 2*u)*(-5*u + 9 - 7 + 4*u) - 1 + 1 + 3*u**4 to the form o + l*u**2 + b*u + z*u**4 + a*u**3 and give z.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -462 + 651. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 306. What is the highest common factor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204147 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - 30. Let m be 4 + -1 + 260\/d. Let o = -3\/43 - -95\/129. Which is the nearest to -1? (a) 6 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66855364 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8765286 and 109\/6.\nAnswer: 8765286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20216 + -222368\/11. Solve u*l**2 - 4\/11*l**4 + 2\/11*l**5 + 2\/11*l - 4\/11 - 4\/11*l**3 = 0 for l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539727863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -259783 times -3827\nAnswer: 994189541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 875 - 631. Is j a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(4 - 14\/(-12)*-3). Suppose 2*d + 3 = 9. Solve b*o - 17 = -d*s, o + 3*s - 8*s + 24 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -15. Let g = 0.087 - -8.313. Let n = l - g. What is the closest to -1 in 4\/5, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3399\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283*150.\nAnswer: 42450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 + 26*z**2 - 2*z - 22. Let w(n) = -2*n**3 + 14*n**2 - n - 12. Let v(k) = -3*a(k) + 5*w(k). Give v(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17944.\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/(-10)*(-4)\/(-7). Solve 3*s - 4*h = -12, 4*h - h - q = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 733 + -436. What is the highest common divisor of 55 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*3105.\nAnswer: -93.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876988201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from argle. Give prob of sequence rl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -42*l**2 + 1385*l + 25. Give w(33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 45, 12*k - k = -5*h + 9*k + 38 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 770 + -770. Let x(l) be the first derivative of c*l**2 + 0*l + 8 - 2\/51*l**3 + 2\/17*l**4. Factor x(j).\nAnswer: 2*j**2*(4*j - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/(12\/16). Let p be (-30000001)\/(-8)*x - 3\/12. Round p to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab130a (base 14) to base 13.\nAnswer: 1282b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1420 + -947. What is the greatest common divisor of w and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1138 and 8.\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 2*u)*(6136*u - 6136*u + 702*u**2).\nAnswer: -702*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38697+34.6116132\nAnswer: 38731.6116132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f2c (base 16) to base 4.\nAnswer: -330230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 6*i + 7. Let u be c(2). Let y(p) = -3*p + 14. Give y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3576 = -p, -2*w = -5*p + 2*p - 3580. What are the prime factors of w?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 5:34 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.1 (b) 1\/2 (c) 2\/7 (d) -1\/954\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/6759 and 2.4371 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 338570173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 2*h - 5. Let y be i(3). Let k(b) = -b**2 - 7*b - 3. Let s be k(-6). Put -0.1, y, s in decreasing order.\nAnswer: s, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = d - 2*j, -464 = 2*d - 7*d + 3*j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 + 250. Let q = 90.8 - y. Let d = 13 + q. Which is the biggest value? (a) d (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -0.15. Let f = -46673 - -93345\/2. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700790918 to the power of 1\/2, to the nearest integer?\nAnswer: 26472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*b - 151*b - 147*b + 670*b - 140*b - 140*b.\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/2)\/(78\/52). Suppose 0 = f - c*f - 3*f. Solve 5*s + 5*r - 20 + f = 0, 0 = 4*s + r - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/(((-196)\/(-35))\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 - 3. Let t be u(7). Suppose -3*c + t = 705. Let m = -104 - c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 92*v - 32*v - 21*v - 36*v. Let z(j) = -50*j + 8. Let x(n) = -20*n + 3. Let k(t) = 12*x(t) - 5*z(t). Calculate k(u(g)).\nAnswer: 30*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-1 - 1)*(-12)\/36. Let u be 3 - 2 - -2 - (-1 - c). Suppose 2*g = -u*o + 282, 3*o = 6*g - 2*g - 590. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**3 + 641*f**4 - 13 + 3*f**3 - 640*f**4 in the form z + g*f**3 + l*f**4 + b*f**2 + c*f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 6*l**2 + 3*l - 3. Let t(q) = q**2 + 7*q + 8. Let j be t(-7). Is n(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 smaller than 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 6*v - 4*v)*(-3 + 0 + 5) - 22 + 22 - 30*v + (-3 + 2 + 3)*(-2*v - 1 + 1) + (6*v - 5*v - 2*v)*(-5 + 1 + 1) to j + x*v and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-5)*390\/117. Let o be (-4)\/q - 0 - (-8878)\/18. Calculate the greatest common divisor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a micrometer in nanometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -24*t. Let y be c(-1). Let x = -9 + y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*4*sqrt(44).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -1, 1784, -2, 9, -5 in decreasing order.\nAnswer: 1784, 9, -1, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154470160 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let o be (3\/(-9))\/(2\/26) - -4. Which is the second smallest value? (a) o (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*r + 2776 = 215*r. Suppose 3*i - r = 2*k, 4*i - 694 - 235 = -k. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/20 - (-44)\/10. Suppose 4*v + 2*x + 18 = 0, b*v - 8*v + 4*x = -12. List the prime factors of 344\/(-2)*v\/4.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 179. Let q be p(-48). Solve 3*f = 0, 12*f - q*f = 3*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10038, -10040, -10054, -10086, -10142, -10228, -10350?\nAnswer: -10514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/75 and 52\/375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 3, g: 3, r: 1, v: 2}. Give prob of sequence vg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 0*c**2 - 4*c**2)*(130*c - 263*c + 130*c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2579 and 4445.67.\nAnswer: 1866.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, 8, -1, 1\/10 in decreasing order.\nAnswer: 21, 8, 4, 1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156 + 264. Suppose 11*j - b = 8*j. Suppose 6*p = 12*p + j. Let l(n) = -n**2 - 7*n - 7. Determine l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -39\/5, 34.084, 13\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 140*n - 848. Let t be f(-6). Solve t*b - 39 = 15*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -494300 to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48372\/7 + 2660376\/385. Let m = 20765\/6666 + 34\/303. Find the common denominator of d and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = -3*y + 51, -3*y + n = -49. Find the first derivative of -49*d**3 + 22 - y + 26 wrt d.\nAnswer: -147*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6590 - 6581. Which is the closest to -1? (a) 0.2 (b) 0.3 (c) u (d) -479\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -0.4 (c) -41 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1113 and 6?\nAnswer: 6678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 110 - 110 = 5*w, 2*q - 72 = -2*w. What is the greatest common divisor of q and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -1 + ((-20)\/(-8))\/5*38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 29058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 732 - 730. What is the smallest value in l, 4, -0.5, 183?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2637)\/1172)\/(3\/4))\/((-3)\/25)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0*n**2 + 1\/3*n**3 - 8*n + 0. Let h(v) = 18 - 2*v - 18. What is h(j(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/5 in 0.01, 0.029, 0, -1\/4, 21?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 1. Let o be z(3). Solve n + n + o = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbt when three letters picked without replacement from {t: 1, b: 1, u: 3, g: 5, z: 1, y: 3}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -93.\nAnswer: 37\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200962 is divided by 200160.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inccwnml. What is prob of picking 1 l, 2 n, and 1 i?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 15, e: 3}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-20) + (-48)\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -3*b**5\/10 - b**3\/2 + 3*b - 7. Let h(d) be the first derivative of u(d). What is the second derivative of h(k) wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*i - 45, -5*d - 2*i = -3*d - 6. Let k be 50\/d - (-2)\/(-6). Solve -6*x = 3*l - x + 12, 2*l - k = 2*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/33 and -31\/486.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 18}. Give prob of sequence jj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4787 - 1058. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + (197619\/(-5985) - 15)\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49820990 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 306*z - 282*z - 30048. Which is smaller: 1251 or z?\nAnswer: 1251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 94, -4, 3, 4.\nAnswer: -7, -4, 2, 3, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/19 - 1806560*p**3\/19 + 140919792*p**2\/19 - 3663984896*p\/19 + 31754840416\/19.\nAnswer: -2*(p - 26)**3*(p + 903358)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -20, -10*a - 3882 = -2*x - 5*a. List the prime factors of x.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**8\/1848 + 2*u**7\/1155 + u**6\/660 - u**2\/2 + 3. Let m(z) be the second derivative of c(z). Factor m(j).\nAnswer: 2*j**3*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 93*c + 563. Let k be d(-6). Solve 0 = -k*b - 25*j + 30*j - 20, 5*j = -3*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 717518 and 1201238?\nAnswer: 106910182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/60*-34)\/((-12)\/24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/80 and 34\/(-170) + -1 + (-53)\/(-56).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 13*b - 12. Let r be w(-14). Suppose 0 = 2*s - 6 - 4. Suppose r*q + 575 = s*c - 3*q, 3*c + q = 329. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 0.04, -7398, -1\/3, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4 + 2*a + 5 + 14. Let u be v(-9). Is u > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -14. Let c(g) = g + 9. Let o be c(i). What is the units digit of 2 + 1 + o + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95.36 + -95. Suppose 2*d - 5*d = 132. Let v = 43 + d. Is x greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23203 and 0.02.\nAnswer: 464.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**3\/3 + 4*i - 6. What is a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - -6) + 5\/(10\/32). Suppose x - 2*t = -1 - f, -4*t = 2*x - 6. Let w(y) = y**3 + 6*y**2 + 4. Calculate the remainder when w(x) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 15540455?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -31*i - 6. Let d(b) = 4*b. Give 3*a(o) + 21*d(o).\nAnswer: -9*o - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*c**2 + 0 + 0)*(-c**2 + 0*c + 0*c) + 969*c**2 - 483*c**2 - 486*c**2 - 805*c**4 as q*c + z*c**3 + g + y*c**4 + m*c**2 and give y.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -22957, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/25203 and -131\/1626?\nAnswer: 50406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797 a factor of 842044720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 0.08. Let k = 4.97 - m. What is the closest to -1 in -3\/4, k, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180006773.\nAnswer: 1847, 97459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**5\/20 - p**4\/6 + p**3\/6 - 14*p. Factor i(b).\nAnswer: b*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73856, 72847, 71836, 70823?\n\"Answer: -f**2 - 1006*f + 74863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + 5*s - 51. What is the hundreds digit of x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 128 = -9*r. Suppose -8 - 38 = -5*v + 3*q, r = 5*v + 3*q. Solve -2*u - 1 = 5*n - v, 2*u + 6 = 3*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -0.3, -13.0533, -0.2 in decreasing order.\nAnswer: 3, -0.2, -0.3, -2, -13.0533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215\/469 - -2\/67. Let v = 5.8 + -6. Let l = 5.2 + v. Which is the second biggest value? (a) x (b) l (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 1 - (-31394965)\/7. What is y rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 8, 2*d + d = -4*r + 22. Suppose -3*u - 35 = -5*z, 20 = 3*u - r*u. Let l = z - 2. Solve l*p + 2*h = 0, -5 = p + 3*h - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + -40. Let q = -106 - h. Let g = 85 - 1107\/13. What is the biggest value in 0.2, g, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -448, -863, -1536, -2467, -3656?\n\"Answer: -129*n**2 - 28*n - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -9*c + 2*c. Suppose 1 - 5 = -c*w. Suppose -242 = -w*p + 12. List the prime factors of p.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*v + 3 + (v - v + 4*v)*(190 - 50 + 46).\nAnswer: 746*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -716 - -13?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -466*g**5 - 766*g**3 - 45954134*g.\nAnswer: -9320*g**3 - 4596*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 8*u = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8149236 by -4.\nAnswer: -2037309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 3*c - 2*c)*(2241 - 4482 + 2240 - 2*c) in the form r + j*c + i*c**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 668*n**2 - 308619*n + 1370. What is o(462)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 16*q - 74 = 0. Suppose -q*n + 29*n = -16. What is the third smallest value in 2\/11, n, -1\/3, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*v + 1)*(-3*v + 5*v + 0*v) + 0*v**2 - v**2 + 2*v**2 + (20*v - 139 + 139)*(v + 4*v - 4*v) in the form k + l*v + q*v**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/(2\/(-9)). Suppose -u*g + 7*x - 2*x - 11 = 0, -2*g + 14 = 2*x. Suppose 20*i = 14*i + 48. Solve g*c + i = -2*m, -4*m = -0*m + 5*c + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3878908646.30998 + -3878870380. Let z = 38266 - b. Let p = -0.31 - z. What is p rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/40 - i**5\/15 + i**4\/6 - 2*i**3\/3 - 2*i**2 + 17. Let l(m) = -8*m**3 + 11*m**2 - 11*m + 11. Give 4*l(b) + 11*p(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/4163 less than 257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*n + 3*b - 2*b, 0 = 3*b. Let m(u) = u + 1. Let z be m(-5). Put z, -3, n in decreasing order.\nAnswer: n, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101447927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 100, 124, 156, 196, 244?\n\"Answer: 4*t**2 + 12*t + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 - -96. Calculate the remainder when 23 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -70. Let h(d) = 14*d**2 + 1. Let a be h(-1). Let m = a - 4. Calculate the remainder when u is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8192336 nanograms in micrograms?\nAnswer: 0.0008192336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 37. Let w be r(10). Is 5 a factor of w\/(-4 - 3) - (1 + -37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 375 + 99. Let r be (70\/15)\/(p\/(-9)). Is r equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, 3, 1, -5, -13731.\nAnswer: -13731, -5, -0.2, 0.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 7, h: 1, z: 9}. Give prob of sequence zlyl.\nAnswer: 21\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/5 + 18698956*n**2\/5 - 411378484*n\/5 + 2262584324\/5.\nAnswer: 4*(n - 11)**2*(n + 4674761)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 13*s + 105. Let t = 7000\/2223 - -14\/171. Let d = t + -181\/52. Sort -0.4, s, d in decreasing order.\nAnswer: d, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 7. Let u be w(6). Is u equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82\/3 - -27. Which is the closest to -0.3? (a) 0.5 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 67. Let o be q\/(-1*1\/3). Is o smaller than 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3134 + -3134.5124. Let p = a + 0.47. Round p to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*u**3 - 2\/13 + 2\/13*u**2 - 2\/13*u.\nAnswer: 2*(u - 1)*(u + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 19*p + 984. Calculate y(-53).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.413318s?\nAnswer: 413318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 7*i**2 - 28*i**2 - 26*i**2 - 8 + 83*i**2 - 34*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.962824kg to micrograms.\nAnswer: 962824000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 3, 3*j - 5*j = 3*u - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:11 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -6*p - 40. What is r in 6*r + 27*r**3 - 9*r**5 - 24*r**2 + 15*r + 2*r**4 - p*r = 0?\nAnswer: -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -16 (b) -1\/4 (c) 0 (d) 1\/4 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 4\/(-16)*-81. Which is greater: 15 or t?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/(-165)*(-19473)\/8. Let s = x + -1277\/2. Is s at most as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-3 + 5 + 0)*(-3295*q - 127*q - 2524*q)*(4 + 1 - 3).\nAnswer: -23784*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1373 - -1376. Let m = -0.055 - -2.955. Let o = 3 - m. Which is the nearest to o? (a) 2 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - 3*w**2 - 27*w**2.\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/12)*i**2)\/(i*(i\/((i\/(i*i**2*i))\/i))\/i*i)**(-23\/2) assuming i is positive.\nAnswer: i**(851\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + 0 + -816 + 803 + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30608566*p**3 - 123530*p**2 - 4*p?\nAnswer: -183651396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 505759\/144 - 3513. Let n = s + 9\/16. Which is the closest to 2? (a) 4 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - 208 - -226) + (1 - 80).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, -3, 1, 2758?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -6 (b) 68 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -24*g**2 - 13*g - 22. Let h be v(-3). Let a = h - -202. Calculate the lowest common multiple of 28 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14210707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 25 = -5*y + 2*f, -2*y - 29 = -5*f. What is the units digit of (-1)\/y*904\/(-20)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) + (-49)\/28. Let j be 0\/(-1 + (-3 - r)). Solve j - 1\/6*z**4 + 0*z + 1\/3*z**3 - 1\/6*z**2 = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*i + 5*h, -9 = 2*i + 3*h - 0. Suppose -3*s + 0*u = -u - 125, 2*s = i*u + 81. Let m = -20 + s. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1170)\/(-520))\/(81\/4392).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 + 12*q**4 - 16*q**3 = 0. What is q?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x**2 - 1692*x + 1692*x. Let n(j) = j + 5. Calculate w(n(i)).\nAnswer: 12*i**2 + 120*i + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2\/13 (c) 0.1 (d) 75 (e) 65 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -487437.\nAnswer: -1\/162479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15102052 (base 8) to base 13.\nAnswer: 936718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/1180912?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -321 in -0.9, -0.5, -3\/22?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*f - 2*c, 5*f - 2*c - 83 = -11. Let r be 15\/(-60) + 1793\/4. Calculate the greatest common factor of r and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - y**2 - y**2 + 2*y**3 - y. Let v(t) = t**3 + 4*t**2 + 4*t + 5. Let m be v(-3). Suppose 3*w - 1 = m*w. Give c(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -p + 6. Let r(q) be the first derivative of -p - 1\/6*q**3 + 0*q - 1\/4*q**2. What is h in r(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2292\/6365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -304.777 and 330407?\nAnswer: 330711.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2109, 2092, 2073, 2058, 2053, 2064?\nAnswer: 2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, 10, -13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 2*l**2 - 1 + l**3 + 6*l**2 + 2*l**4 - l**2 - 2*l**2 as s*l**2 + b*l**4 + m + j*l + o*l**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3442047 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/27*3\/(-2). What is the closest to s in -2, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (192\/(-40))\/(6\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000854569 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -1, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -6*v - 180. What is the smallest common multiple of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/8374 and -71\/8?\nAnswer: 33496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(-10 - 13 + 2)*(1 - 1 - 3*b) to m + t*b and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:16 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*v - 6, -4*s - 8 = -5*v + 4*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 4*n**3 - 3*n**3 + 5*n**3 + n**2.\nAnswer: 6*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 487?\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15290 by -2.\nAnswer: -7645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710631 + 710631 + 5*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((23 - -5) + 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -356*a - 175 + 2311 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48905 and 79157633?\nAnswer: 9781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 + 329. What is the greatest common factor of l and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhy when three letters picked without replacement from jhnyn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995589272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 5, w: 3, p: 1, g: 1}. Give prob of picking 1 p and 2 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2057 - -2102. Calculate the remainder when 75 is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -9 - -10 - 164\/32?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01353 less than -2482?\nAnswer: -2482.01353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0*w**4 + 3\/20*w**5 + 5\/2*w**2 + 0 + 8*w + 1\/3*w**3. Let j(o) = 2*o**3 + o + 4. Calculate -4*j(b) + 3*y(b).\nAnswer: b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -1194, -2559, -4334, -6441?\nAnswer: -8802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 468*q**2 + 0*q**3 + 460*q**2 + 9 - q**3 - 6*q - 918*q**2. Calculate b(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, x: 1, s: 6, e: 6, z: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64930, -64928, -64928, -64930, -64934?\nAnswer: -64940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7118 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(85)\/(sqrt(25)\/sqrt(5)) - sqrt(17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*o = -15064 - 4435 + 659 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*d + 625, -d - 3103 = 5*p - 3*d. Let w be 74\/(-3)*(-105)\/(-2). Let f = p - w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/10 + 2\/5. Let l(p) = p**3 - 13*p**2 - 2*p + 30. Let s be l(13). Solve 2 = -m*w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.163*0.07\nAnswer: 0.01141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26809243, 26809250, 26809257?\n\"Answer: 7*d + 26809236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (-10 - 25)\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 833.5826 kilograms?\nAnswer: 0.8335826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {i: 7, n: 1, m: 1, x: 7}.\nAnswer: 49\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/4 - 318\/(-102)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59 and -27728.\nAnswer: -1635952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 1 c when three letters picked without replacement from flhfkhhfcklhlffcfhch?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 16*m - 27. Let s be w(-14). Let p(g) = 7*g - 6*g + g - s. Calculate p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 0 + -5 - 0. Let h be p\/(-7)*(-2)\/(-3). Which is the second biggest value? (a) 1\/2 (b) -2\/13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-3))\/(-2)*(-4)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 570 = 4*g - 2386, -2*d = -5*g + 2283. Calculate the highest common divisor of g and 819.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71302 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -3.6, 2, 2\/27, -1775, -2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 974*l**2 - 550*l**2 - 330*l**2.\nAnswer: 94*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 63 - 61 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 181.\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-216)*104\/(-39). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -105*j - 119. Let a(f) = 13*f + 15. Let u(s) = 49*a(s) + 6*w(s). Let p be u(0). Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 12 = -0*s. Let r = s - -12. What is the third derivative of 2*v**4 + r*v**2 - 2*v**2 - 3*v**2 wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2 - 2)*(-5 + 2 + 0)*(-3 + 0 + 1)*(0 - 2 + 0).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 94, -5, 44, -114 in increasing order.\nAnswer: -114, -5, 6, 44, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 6*r = 24. Let v be (10\/(-3))\/((-8)\/r). Suppose 0*s - s - i + 12 = 0, 2*s + v*i - 33 = 0. What is the highest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89\/6 + 15. Let a(k) be the second derivative of -4*k + 0 + i*k**3 - 1\/2*k**2 - 1\/20*k**5 + 1\/2*k**4. Give a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 906 and 1583688.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0 - 1. Is l\/((-2)\/(-64)) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110211 (base 3) in base 11?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 89*c**2 + 68*c + 2136. Calculate p(88).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 5*f + 1. Suppose -30 = -0*a + 5*a. Let w be l(a). Let q(b) = b**2 - 106*b + 701. Let s be q(7). Sort w, s, -3.\nAnswer: w, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 14549.74 decades?\nAnswer: 1745968.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2 + 552*x + 41951 = 0.\nAnswer: -461, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3755, 7532, 11309, 15086?\n\"Answer: 3777*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -549*m - 549. Determine w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.240305 millennia?\nAnswer: 72.40305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d + -7d012?\nAnswer: -7cfe5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 - 175*m + 175*m + 1 + 33*m**3 - 19*m**3 in the form l*m + p + k*m**3 + b*m**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 12*p**2 - p - 14. Calculate g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 8*t**2 + 2*t + 9. Let u be c(6). Suppose 3*l - s - 79 - 178 = 0, -4*s = -l + u. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31541948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2887 = 12*d + 231 - 200. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 2*n - 6 = -24*s, -2*s + 5*n - 7 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - sqrt(76)*1) + 3)*2 + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1068*c**3 - 68*c**2 + 13*c + 11. Let i(y) = 533*y**3 - 34*y**2 + 6*y + 5. Let m(h) = 11*i(h) - 5*p(h). What is the third derivative of m(d) wrt d?\nAnswer: 3138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -71, 0.1, -7.234?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 9. Let a be s(-5). Let y(z) = -17 + 35*z - a*z - 18 - 13*z. Let o be y(6). What is the greatest common factor of o and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 1, u: 1, f: 12, o: 2}. Give prob of picking 1 o and 1 u.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112002 + -2?\nAnswer: 21112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 56*p - 32. Give s(48).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276523139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 43*i**2 - 1440*i**2 - 160*i**2.\nAnswer: -1557*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 32*r + 230. Give c(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307 is divided by 348?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-262)\/(0 + -2). Let c = 5 + -2. Suppose c*s + y - u = -0*s, 2*y - 37 = -s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9253.9208 rounded to the nearest integer?\nAnswer: -9254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*k + 11123243, -2*k - 7073743 + 1512111 = -4*q. Is k\/(-774) + (-2)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5568 and 5568?\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -173, 0.05, 20, 1\/7, 0.2?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-8) + 1)*(-20)\/(-6). Let t(z) = 2*z**2 + 7*z - 15. Let x be t(s). Solve x = a + 2 - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 18315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = -9*s - 253 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-532)\/(-912)*165\/77 - (597\/(-12) - 1)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h**2 + 5*h - 22. Let n be 2 - (-5 + (5 - -4)). Let m(z) = 5*z**2 - z + 5. Let b(s) = n*q(s) - 9*m(s). What is b(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -515 - -184. Let w = q - -369. Calculate the remainder when 148 is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 9 - 1 - 3*c)*(-c - 8*c + 8*c).\nAnswer: 3*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21.07 (b) 296 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -322 - -2038. Is r a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*z - 2 + 0 = 0, -3*z + 3 = -2*p. Suppose p = -w - w + 10. Solve -4*n + n - 4*k = -9, w*n - 15 = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 126318920 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, g: 11}. What is prob of picking 3 a?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -2b603?\nAnswer: 2b602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207112 - 1447?\nAnswer: 205443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-4 + -2 - -25)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7378 - -7378.0006083. Round o to five decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-44) - ((-124)\/(-44) - 2). Calculate the least common multiple of (-18)\/15*f*10 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19521 = -3*b - 3*l, 0 = -5*b + 2*b - l + 19507. Calculate the lowest common multiple of b and 12.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 + 8 = 0. Let c = s + -2. Suppose 2*p + 4 - 16 = -c*k, 5*p + 3 = 4*k. Sort -3, p, 2.\nAnswer: -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15226.02ms in nanoseconds?\nAnswer: 15226020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.496 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26557517301.39 + 0.1?\nAnswer: -26557517301.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 16 = -3*z - z, -2*z + 6 = c. Is ((-6)\/(-4))\/(z\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11421 (base 5) to base 4.\nAnswer: -31131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1095*y**4 + 2398*y**4 - 4452*y**4 + (y**2 + y**2 + y**2)*(-y**2 - y**2 + 0*y**2).\nAnswer: -965*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 619679417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.08 and -69.62?\nAnswer: -980.2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m + 6. Let k(g) = 3*g - 2 - g - 3*g. Let y(a) = a**3 + 6*a**2 - 3*a - 7. Let w be y(-6). Give w*k(o) + 4*j(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7025 = 61*j - 342*j for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/28*(-3)\/(-2). Let g = p + 5\/7. Let o = -10 + 14. Sort o, g, -1 in decreasing order.\nAnswer: o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 275*u**2 - 5 to the form d + h*u**2 + g*u and give h.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 12500*r + 49975. Give n(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/15, -3, -0.0244, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**3\/3 - b**2 - b. Suppose -2*z = -3 - 5. Let r(f) = f + 2. Calculate z*r(i) + 3*t(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217 or 78688\/365?\nAnswer: 78688\/365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) - (sqrt(84)*-3 + sqrt(84))) - ((sqrt(84) + sqrt(84) + (sqrt(84) - sqrt(84)*1))*1 - sqrt(84)))\/((-1*sqrt(216) + sqrt(24))\/(1*sqrt(200))).\nAnswer: 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427.05 + -443. Let q = 16 + d. What is q rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -26*h + 2. Suppose -2*o + 24 = -5*o + 3*x, 0 = 5*o + 3*x + 16. Let l be m(o). What is l rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 43. Let z be x(11). Find the third derivative of -z*h**3 + h**4 - 3*h**4 - 151*h**2 + 75*h**2 wrt h.\nAnswer: -48*h - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -54 - 75. Let i = 165 - h. What are the prime factors of i?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -15*l**4\/4 - 4*l**3\/3 - 5*l**2\/2 + 3*l - 2288. Let o(k) = -22*k**3 - 6*k**2 - 7*k + 5. What is -5*o(w) + 7*r(w)?\nAnswer: 5*w**3 + 2*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igg when three letters picked without replacement from {g: 3, h: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28.469 from 4.\nAnswer: -24.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1626535*q**2 + 1541333*q wrt q.\nAnswer: -3253070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c - 1. Let i(p) = -p. Let w be 0 - (0 + 1 + 3). Let d(k) = w*u(k) + 44*i(k). What is the first derivative of d(j) wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324, 305, 274, 231, 176?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5563 - -1.5504834. What is c rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200222 - -2011?\nAnswer: 202233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170881274?\nAnswer: 2, 4217, 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 12. Let r be (t\/4)\/((-9)\/(-12)). Suppose 0*f + 2 = r*f. Solve -o + 0 - f = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -17. Let s = u - 10. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3 - 71284*h**2 + 213834*h = 0.\nAnswer: 0, 3, 35639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13696 and 1024?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.46 + -249.54. Let t = n + 259. Which is greater: t or 3\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/2 - 444867*o\/2 + 222432 = 0 for o.\nAnswer: 1, 148288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**3*g)\/g)**(35\/2)\/((g\/(g*g*g\/g**(-2\/37)))\/g*g*g**1\/g) assuming g is positive.\nAnswer: g**(6627\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63, 91, 115, 135, 151, 163, 171?\n\"Answer: -2*p**2 + 34*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242395329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 12}. Give prob of sequence mx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*z - 27*z - 3 + 17*z**2 - 5*z**2.\nAnswer: 12*z**2 - 236*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -753. Let p = u - 652.98751. Round p to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 3*k + 3, -3*v - 4*k + 2 + 29 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 683*c**2 - 2799*c - 56467. Give p(-679).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/15)*o\/o**0 assuming o is positive.\nAnswer: o**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1461.366kg?\nAnswer: 1461366000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83.21 and 1.26584.\nAnswer: 105.3305464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(450)\/(-5*(sqrt(9) + (sqrt(9) - sqrt(324)))))\/(((sqrt(90) - (sqrt(90) - 2*sqrt(90)*2)) + sqrt(90))\/sqrt(9)).\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9196607723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/4 + 6*b**4 - 5*b**3 - 37*b**2\/2 + 117*b\/4 - 23\/2 = 0.\nAnswer: -2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -13811000 to the nearest 100000.\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 15250.\nAnswer: 3\/15250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 5*s + 2*s**2. Let x(c) = -5 - 7*c + 5 + 12*c. What is l(x(u))?\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 7*t**2 - 3*t - 2. Let j be a(4). Calculate the highest common divisor of j and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/36*117\/12 - (-52)\/416\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -0.285218.\nAnswer: 0.585218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18969\/38 less than 498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23334979114 - 0.1\nAnswer: 23334979113.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 + 3*v**2 - 76*v + 70*v + 69 in the form f*v**2 + i*v + c and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1882 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.789764 to the nearest integer.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**5\/4 + w**4\/4 + 20*w + 2. Let x(t) = 56*t**3 + 34*t**2. Give -6*x(p) + 68*y(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -237, -240?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 14*q - 8. What is the least common multiple of 11 and x(-13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/12 and 75\/23722.\nAnswer: 142332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 21.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 3, 0.5, 290?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 - -5 - (15 + -7 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 7*o**2 - 7*o + 2. What is t(-6)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 13*k**2 - 2*k - 16. Let z be m(-13). Let v be 2\/z + 8\/35. Which is the nearest to -1? (a) v (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*j - 193 = -j, -i + 37 = 3*j. Let f(b) = -50 + 5*b + i + 8*b**2 - b. List the prime factors of f(4).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z - 13 = -4*k, -8 = z - 5*k. Let p = -6.39 + 1.39. Let f = 8\/23 + 13\/161. Which is the nearest to 1\/3? (a) f (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*r**3 + 192*r**3 - 2*r**2 + 2*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-60))\/(2*(-3)\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k. Let u = 10 + -6. Solve -u*r - 4 = -k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose r*p = 6 + 4. Solve 30 = -3*i + p*i + 4*u, -2*i - 2*u = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-70)\/84 - 2\/(-6). Sort -3\/4, c, 5 in descending order.\nAnswer: 5, c, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*d - 17 = 0, -d + 0 = -c + 3. Let f(g) = -4*g + 48. Let x be f(11). Suppose 11*b - 6*b = 15. Sort b, x, c in increasing order.\nAnswer: c, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 6*r + 8. Let s(b) = -b**2 - 6*b - 6. Suppose 5*m + c + 4*c + 40 = 0, 5*m + 3*c + 36 = 0. Let k be s(m). List the prime factors of l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -19, 164, -0.43, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 22 = -d. Let x = -18 - d. Let p = 1 + x. Is p equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*r**2*w**4 - 278*g*r**2 + 218*r**2*w**3 wrt w.\nAnswer: 4*g*r**2*w**3 + 654*r**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2 + 2)*(-z**3 + 2*z**3 + z**3) + 11*z**4 + 2*z**4 + 5*z**4 + 2*z**3 - 2*z**3 + z**4.\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 84 + 46 - 49*g**2 + 42*g**2.\nAnswer: -7*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 792586*d**2 - 324434*d?\nAnswer: 1585172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = -23*u + 252. Let n be 1*-1*(-6 + (-24 - u)). Solve z + 8 + 13 = -5*c, -5*c + 3*z = n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 - -89. Let x = t + 384\/7. Which is the third smallest value? (a) 4 (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 76 = -i, 0 = -7*i + 5*i - 3*q - 145. Let s = 95 + i. What is the remainder when 68 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 28*u**2 - 154*u - 317. Determine w(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3.9. What is the closest to v in 0.3, 3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/12118682 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -9. Suppose 2 = y*o - 1. Which is bigger: -3\/10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 12289 in descending order.\nAnswer: 12289, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -193635 divided by 5\nAnswer: -38727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 129*r - 1106. What is the remainder when 364 is divided by s(10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17084788.\nAnswer: 2, 7, 173, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2) + -18)*(-880)\/704.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let j(d) = d**2 - 1442*d + 1. Give h(j(q)).\nAnswer: -2*q**2 + 2884*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 9*b + 2*j - 4136, 4148 = 4*b + 4*j. Calculate the lowest common multiple of 4 and b.\nAnswer: 4124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-8)*26\/(-4). Suppose 0 = -4*f + 8, 0 = q - 0*q + 4*f - j. Calculate the smallest common multiple of q and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 10*h**2 + 8*h - 6. Suppose y - 5*d = 20, -y - d + 0*d = -8. Suppose -26 = 4*c + y. Give k(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - z - 3*z - 4*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 32 - 34 = 0. Let b = -18 - y. Suppose -3*k + 0 = -b. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*c**2 - 1941*c + 14271 wrt c?\nAnswer: -38*c - 1941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13304 is divided by 4410.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504364.02 rounded to the nearest 100?\nAnswer: 504400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 + w - 4. Let c(k) = k + 11. Let t be c(0). What is the remainder when o(3) is divided by (-8)\/44 + 134\/t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3. Let x = 96 + -96. What is the nearest to x in o, -4, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 28. Which is the nearest to -3? (a) d (b) -0.2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 7) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -402 - -25324\/63. Let m(y) = -y + 10. Let u be m(8). Suppose 3*g - u = g. Which is greater: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**2 + 7*m**2 - 2*m**3 - 3*m in the form q*m + n*m**2 + x*m**3 + b and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*q**3)*(9*q - 4*q**2 - 9*q) + 35*q**5 + 10*q**5 + 3*q**5 + (4 - 4 + 2*q**2)*(0 + 0 - 2*q**3).\nAnswer: 36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8835 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*w**6 - 12*w**5 + 23*w**3 - 5334*w**2 - 2*w.\nAnswer: -1680*w**3 - 720*w**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drnkkndkknrn. Give prob of picking 1 k, 1 d, and 1 n.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 + 5987*m**2*q + 4*m*q - 6*m - 47*q wrt m?\nAnswer: -6*m + 11974*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Let a = -32 + 37. Let d(c) = c - 3 - a*c + p*c. Let f(l) = 5*l + 8. Give -8*d(m) - 3*f(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 4*z + 15. Calculate u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - u. Let a be d(-2). Let k be (-125)\/(-3) - (-4)\/a. Suppose -2*s + k = -25. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15469, 30575, 45305, 59659, 73637, 87239?\nAnswer: 100465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - p**2 + 2*p**2 + (2*p - 1 + 1 + (-3 - 3 + 5)*(4*p - p - 4*p))*(p + 3*p - 3*p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byy when three letters picked without replacement from {b: 5, y: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -63 - (-12353 + 12490)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7*h - 20. Suppose -4*l + 0*k - k + 1007 = 0, h*k + 1290 = 5*l. What is the greatest common divisor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -445758\/143, -3\/7 in ascending order.\nAnswer: -445758\/143, -3\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 plus 90795773?\nAnswer: 90795773.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let b(x) = x**2 - 8*x. Let q(s) = 2*s**3 - 22*s**2 + 3*s - 32. Let z be q(11). Determine z*b(t) - 2*r(t).\nAnswer: -t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10*(-18)\/(-135))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33527383 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*k - 58696 = -56040 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and 65\/292?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1210*g**5 + 4036*g**5 + 65 + 1208*g**5 + 55 - 120 + (3*g - g - 3*g)*(28*g - 28*g - 17*g**4).\nAnswer: 4051*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -13 - 7. Suppose 0 = y*h + 13 - 38, 0 = 5*r - 4*h - 30999980. What is r rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*m + 35, 0 = 3*r + 5*m - 0*m - 25. Let p(w) be the second derivative of 4*w**3 + 3*w + 0 + 19\/6*w**4 - 4*w**2 - 6\/5*w**r. Factor p(q).\nAnswer: -2*(q - 2)*(3*q + 2)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63079 is divided by 10490.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(14) - sqrt(2016)*1) + sqrt(14))\/(sqrt(252) - sqrt(252)*-1 - sqrt(252) - sqrt(7)) + 0 + 1)**2.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -959*v - 36. Let a(m) = 4. Let o(s) = 8*a(s) + x(s). Let c(u) = u - 1. Let w be c(0). Is o(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3387*l**3*p**3 + 15*l**3 + 4*l**2*p**5 - l**2*p + 733*l*p**2 wrt p?\nAnswer: 20322*l**3 + 240*l**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228997882 to the power of 1\/2, to the nearest integer?\nAnswer: 47212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*d)*(-5 - 7 + 4) - 7*d + 5*d - 2*d + 2*d - 4 + 4 in the form s*d + z and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -3*z**2\/2 + 2*z - 3. What is the first derivative of w(x) wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 38. Let s(h) = -h - 37. Let c(l) = -6*s(l) + 5*y(l). Let n be c(-19). Solve -4*v = 1 - n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p + 23. Let w(v) = 6*v**2 - 4*v - 4. Let l be w(-1). What is t(l)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-20))\/((-27)\/15))\/(306\/1377).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 797298947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 12, 99, 266, 525, 888, 1367, 1974?\nAnswer: 2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 5*n)*(-3 + 1 + 0)*(-663 + 1324 - 661 + 50*n**3).\nAnswer: 200*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 671 and 915.\nAnswer: 10065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + (((3*sqrt(363) - sqrt(363) - sqrt(363)) + sqrt(363))*6 - sqrt(363)) + sqrt(363) + 5)*-3)**2 + 0.\nAnswer: 12870*sqrt(3) + 552348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -54 + 23 - (4 + -1) - 30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 834420852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 - (-98)\/(-14) - -25377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1402037 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178 - -182. Solve -h*d = -g - 15, -2*d - 6 = 5*g + d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + (-21)\/(-27) + 3. Determine f, given that -3*f**2 - 57*f**4 - 3*f**3 + 0*f**3 + 56*f**s + f**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*q - q + 5*q**5 - 3*q**5 + 7*q**5 wrt q.\nAnswer: 180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965245031?\nAnswer: 109, 211, 41969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u - 37*u - 59 + 56*u.\nAnswer: -9*u - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558037676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**2 - 8*y**2 + 17*y**3)*(-y + 0 + 0)*(-2 + 3 + 1).\nAnswer: -34*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11037 (base 8) to base 15.\nAnswer: -1594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51722690 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*v + 108, 3*z + 2*v - 53 = 25. Let s be 0*((-2)\/8)\/(6\/z). Suppose w - 5*g - 72 = s, 2*w - 360 = -3*w - g. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -2)*915\/9. Let p = 213 - l. Let f = -16 - p. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = 10. Let g be 2*(-586)\/(-8)*2. Suppose m*s + 2*t + 91 = 3*s, 0 = -3*s - 4*t + g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (sqrt(2299) - (-3*(-1 + sqrt(2299) - sqrt(2299)) - sqrt(2299)))**2 + 0 + (-2*sqrt(2299))**2).\nAnswer: -528*sqrt(19) + 73624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -4\/3 (c) 0 (d) -2204 (e) 0.1 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in -0.24, 4, -2\/9, 0.7?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*1)\/(3 + -1). Let k = 463\/5 - 93. What is the closest to g in -3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 12 - 1 + 1 + 1 - 1 + (5 - 1 - 3)*(1 - 2 + 2) - 1 - 1 + 0)*(198 - 413 + 206)*(-1 + 2*a + 1) to q*a + n and give q.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61754 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 8. Let v be g(-3). Let i = -3.14 + 4.35. Let y = i + -0.21. What is the second smallest value in v, -6, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2111 = -5*f, -3*n = -3*f + 1770 - 189. Is (13\/(-4))\/(-5 + (-2619)\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 44 - 17)*(54*f - 60*f - 52*f) to the form y*f + c and give y.\nAnswer: 2552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -3) + (-13 - -1). Let s be (-16)\/(-64) + h\/(-8). Solve 5*q + 15 = s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.5 + 4. Let a = p - -0.5. Suppose -5*t = 4 + 21. Put -0.2, t, a in decreasing order.\nAnswer: a, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 4*d + 4*d)*(-2*d**2 - 9*d + 11*d - 8 - 4).\nAnswer: -2*d**5 + 2*d**4 - 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12996 + 402852\/31. Is -2 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 19\/(38\/39)*2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6933.\nAnswer: 3, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) 13 (c) 0 (d) -4\/7 (e) 442\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 317*x**2 + 1797*x - 6. What is the remainder when q(-6) is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65705 - 140824\nAnswer: -75119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29840953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 34*c + 149. Let j be r(-57). Let w = -1138 - j. Let u(p) = -p**2 + 12*p + 6. What is the smallest common multiple of w and u(6)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 5. Suppose 0 = -3*y - 5*o + 278, -4*o + 280 = 2*y + y. Let s(r) = 91 + y - 188. Give 6*s(q) + v(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 1)*(1 + 2 - 1)*(392 - 743 + 279)*(-2*s + 0*s + 4*s) in the form u*s + f and give u.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5453270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoio when four letters picked without replacement from oqoiqqqoiqqqqo?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 2 (c) 1 (d) -1\/3 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 7*i**2 - 3*i + 9. Let j be v(6). Suppose -4*d - 20 = -5*w + 90, -5*w = 2*d - 80. What is the greatest common factor of j and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 + 2*n - 1. Let z(d) = -145*d**2 + 4*d - 7. Give -2*o(a) + z(a).\nAnswer: -157*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 705 + -700. Solve -7*r - 33 = -n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r - 51. Let f(c) = 8*c - 154. What is 2*f(o) - 7*z(o)?\nAnswer: -5*o + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -22*b**3 - 229*b**2 - 282*b - 17. Give i(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 1626768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {m: 1, j: 1, r: 2, d: 1, h: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v + v)*(-4*v - 2 - 4*v + 6*v)*(0 - 2 + 3).\nAnswer: -6*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82410524 to the nearest integer?\nAnswer: 9078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by ((-4)\/(-6))\/((-11240)\/1125 - -10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 6:55 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -226 and 0.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h - 9*h = 23*h. Put h, -2, 3, -11 in decreasing order.\nAnswer: 3, h, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 38*v - 40*v = -10, -3*v = 5*k - 22. Solve -7*i + 3*i = k*q - 12, 0 = 3*i - 5*q - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.94 - -0.939894. Round o to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 2*d**3 + 6*d - 5*d - 2*d**2 + 1. Let x be v(-1). Suppose 5*k - x*k = 15. Sort k, 1, -11.\nAnswer: -11, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -1.98. Let i = 0.12 - l. What is the third smallest value in 3, i, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0137 in -2.183, 2\/9, 1, 4, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9800 - -9800.21083. Let q = a + -0.21. What is q rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 9. Let h be k(-5). Which is the nearest to h? (a) -0.1 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -99 + 3*m + 58 + 8*m + 16 + 16 as j*m + s and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 59. Solve 5*j = -4*k + 41, a = j + 3*k - 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13609962, -13609964, -13609964, -13609962, -13609958?\nAnswer: -13609952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9764150 is divided by 7206.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.448549*0.5.\nAnswer: 1.2242745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = -15*u - 2*s + 12, -12 = -4*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0 + 0)*(5 - 1 - 2 + (-4 + 2 + 4)*(0 + 0 - 1) + 1 + 2 - 2 + 4 - 2 - 1) to i + a*m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let n = 15 + -10. Let a = 194 - 195. Put k, a, n in decreasing order.\nAnswer: n, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 469\/(-9) - (1868 + -1920).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7092 - -7823. Let w be (-5)\/((-1 + 0)*1). Suppose 0 = -w*c + 654 + t. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 203*x + 5. Let c(n) = -101*n - 2. Calculate -9*c(l) - 4*k(l).\nAnswer: 97*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 822 - -278. Let t = w - 519. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 818, 3728, 8586, 15392, 24146, 34848, 47498?\n\"Answer: 974*r**2 - 12*r - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1757, 3512, 5267, 7022?\nAnswer: 8777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -0.22, 0.5 in descending order.\nAnswer: 0.5, -0.1, -0.22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:06 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -19*l**2 + l**3 - 236 - 235 + 700 - 227 - 20*l. Calculate w(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 3*p + 4, -4 = 65*l - 64*l - 5*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -16600?\nAnswer: -4980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0 - 16. Calculate the highest common factor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z + 1226*z**3 + 26*z.\nAnswer: 1226*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -88*0.21\nAnswer: -18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 252383 and 252382 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(-3*sqrt(6)) - -6*sqrt(833))**2.\nAnswer: 265625\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 858.\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115280 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/136 and 25\/1428.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, 9, 2, -2, -3 in ascending order.\nAnswer: -28, -3, -2, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + -105 + 21 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 63 - 100 = -215. What is the closest to -3 in -14, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-425)*-2*6\/(48\/20).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**5\/9 - 220*s**4\/9 - 124*s**3\/9 + 1604*s**2\/3 - 928*s + 432 = 0.\nAnswer: -54, -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5523865 grams?\nAnswer: 552.3865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 26*m**2\/9 - 16*m\/3 + 24.\nAnswer: -2*(m - 2)*(m + 6)*(m + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:40 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47214\/1 - (-433 - -439)?\nAnswer: 2, 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(21 + 63)*4*-2. Which is the closest to -0.079? (a) 4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/42*(-245)\/1365.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 (base 16) in base 12?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 9*a + 4. Let w be r(-9). Let h(k) = -w*k + 4*k - 23*k - 7*k. Let i(y) = y. Give h(i(z)).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d**(-2))\/(d**(1\/9)*d**(2\/3)) assuming d is positive.\nAnswer: d**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084 divided by -2?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 30 = 6*a. Suppose -277 = -3*w + 4*h, -2*w - a*h + 178 = -0*w. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 508*t + 26054. What is s(-51)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(27\/(-4))*3. Solve -20 = -4*h + o, -h - c*h = 3*o - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253 + 259. Suppose -a - k = -3*z + 1, z + 19 = -a. Let x(u) = -2*u - 34. Calculate x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4633\/4 + -1158. Find f, given that m*f**2 + 0 - 3\/4*f = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9408253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35928281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*i + 16 = 0, -3*r - 3*i = 82 - 94. Suppose -4*a - 1 = 3. What is the third biggest value in 3, a, r, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 108 = 4*i. Let o = -40 + 58. Suppose -2*d = -o - i. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79270859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -395523, -395531, -395539, -395547?\n\"Answer: -8*l - 395515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) + (-178)\/(-5). Suppose 3*z = 1 + x. Calculate the remainder when 2 is divided by (-6)\/z*(1 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*j**4 - 21282*h**2*j**3 + 6*h**2*j + 17*h**2 - 6*h*j**2 - 2*h*j + 7*j wrt j?\nAnswer: -24*h**2*j - 127692*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (828\/(-920))\/((-12)\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (20 - 2 - (-19 + 23))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -6. Let b(q) = -97*q**3 + 2*q**2 - 1. Let f be b(-1). What is the greatest common factor of p and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 42 = 4*m + 14, 2*u = -2*m - 4. Suppose 259 = 5*y + 2*b, -160 - 91 = -5*y + m*b. Suppose 3*a - 2*o = 71, 3*a + 5*o + y = 5*a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from ddh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**4\/2 + 5*g**2\/2 - 9*g + 11. Let k(h) = h**3 + 2*h - 4. Calculate -9*k(c) + 4*n(c).\nAnswer: -c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18157636, 36315274, 54472912, 72630550?\n\"Answer: 18157638*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 29*d - 11. Calculate s(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 110279*z + 2426100. Give s(-22).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, 7, -11, 1, -101, 5 in increasing order.\nAnswer: -101, -12, -11, -5, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101555729 a multiple of 913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46132 - 39270 + 7817 - 12010 + 13441 - 8219)*(y - y + 2*y**2).\nAnswer: -168746*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 3*l = -500, 480 = 4*h + 2*l. Suppose i - 4*i - 5*f = -134, 3*i + 2*f = h. What is the highest common factor of 19 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083.725139 rounded to the nearest ten?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(364*j**2 + 503*j**2 + 7137 - 7137).\nAnswer: 867*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-56821\nAnswer: -28410.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2))**(-1\/16)*(d**(1\/3))**13 assuming d is positive.\nAnswer: d**(199\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t**3 + 1\/60*t**5 + 0 - 5*t**2 + 0*t**4 + 0*t. Let u(j) = 10*j. Calculate f(u(x)).\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -47, -76, -107, -140?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Let v be n(-1). Let h = -0.491 - -0.091. Which is the third smallest value? (a) h (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 13) + (12 - 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.8 + 82. Let o = 28 - k. Round o to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 6, n: 1, u: 6, q: 3}. What is prob of picking 1 q and 1 n?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, -1.1, -4\/9, -3\/20?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/84*-6*(-4)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3452732?\nAnswer: 2, 617, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 3. What is s(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 390?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231415 (base 6) to base 16.\nAnswer: -103a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 12*w = 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 6*y + 5. Suppose -5 = -2*d + 5. Let z be w(d). Suppose -80 = -2*i - z. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -27, -46, -71, -102?\n\"Answer: -3*x**2 - 4*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 25. Let z be (3 - (-28)\/(-16))*o. Let g be 1\/2*(-3 + 5). Solve 0 = 4*j + z + g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24522 + 222259. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q. Suppose q = 3*x + 10 - 43. Suppose 0 = -6*a + x + 13. Solve -5*o = i - o + 3, -a*o = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2 + 181 + 3. Let w be (-20)\/(-25)*(2 - u\/104). What is the smallest value in w, -4, -3, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3\/8 - 401103*u**2\/2 - 214824006927*u\/8 - 41768754796665\/4 = 0. What is u?\nAnswer: -267207, -390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.95 - 5. Let t = i + 0.05. Let p = 81\/316 - 1\/158. What is the biggest value in 1, p, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12*l - 92. Let u be r(-8). What is the second derivative of -20 + 47*w - u*w**3 + 26*w**3 - 49*w + 16 wrt w?\nAnswer: 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1026184142 to the nearest one hundred thousand.\nAnswer: 1026200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/5)\/(2\/10). Let z = -25 + 13. Let g = s + z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-900)\/5670*1*(-3)\/2\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, and 1 w when three letters picked without replacement from vopwg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9.8*4\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90459 and 260268?\nAnswer: 14835276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 4. Suppose 3*b + 21 - 6 = 3*p, 0 = -q*p + b + 5. Is p smaller than 2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3023841, -3023875, -3023933, -3024015?\nAnswer: -3024121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 35 = 3*b - 2*k, 58 = 2*b - k. Calculate the greatest common factor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50.29 and -2143.\nAnswer: -107771.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 13\/2. Let l be (40\/66)\/4 - (-20)\/(-60). Let t = -2.5 - -0.5. Which is the nearest to s? (a) t (b) l (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -16*c**3 - 240*c**2 - 160*c - 80. Let i(h) = -3*h**2 - 2*h - 1. Let m(s) = 80*i(s) - p(s). Let b(k) = 24*k**3. Calculate 5*b(d) - 8*m(d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 10*c**3\/3 + 37512*c**2 + 1977464*c\/3 - 269664 = 0.\nAnswer: -11236, -18, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-234)\/45)\/(4\/(-20)). Suppose 20*p = w*p - 336. Let f = -2 - -8. What is the lowest common multiple of f and p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 7*r**2 - 300*r - 50. Let g be l(22). Calculate the greatest common divisor of g and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 99*a*g**2*q - 10954233*a*g + 6*a*q - 26*g**3*q + 3*g**3 + 33*q wrt q?\nAnswer: 99*a*g**2 + 6*a - 26*g**3 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1806225188?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*y - 119, -y + 4*y = 2*l - 185. Let v = -16 - y. What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 - 1 + 1 - 9*l + 5*l**4 + 9*l + (3*l**3 + 0*l + 0*l)*(l - 2 + 2).\nAnswer: 11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 14. Suppose -c*v + 15 = -v. Let k = 24 - v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1578 + 22?\nAnswer: 159a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/(-15) + (-213)\/(-15) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.717*0.007.\nAnswer: 0.005019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*n + n**2 - 1472*n - 289*n - 518*n.\nAnswer: n**2 - 1742*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*l - 42 = 0, 0 = 2*c - c - 5*l + 17. Solve m + 3*m = c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -aa?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -2*d - 9*n - 20, -n = -2*d + 2*n + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 438*d**2 - 843*d**3 - 851*d**3 - 496*d**3 + 2972*d**3 wrt d.\nAnswer: 4692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45417 divided by -214.\nAnswer: -45417\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/((-6)\/99). Let h(i) = 3*i - 16. Is 5 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 616964\/(-54825) + (8\/250)\/((-4)\/10). What is the nearest to -2\/7 in 0.3, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3 - 7) + -13 + 18 + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 5*a**3\/3 + 2*a**2 + 2*a - 5. Let i be d(-2). Let q(y) = -y**2 + 15*y - 7. Is q(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 13*v**2 - 14*v - 15. Determine m(11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 3*z - 1 - 7*z + (56 - 33 + 55)*(z - z + 2*z))*(-4 + 0 + 2).\nAnswer: -310*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**5)**(2\/69) assuming q is positive.\nAnswer: q**(4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 + 0*o - o - 4*o**2 + 5*o**4 - 2 as m*o**3 + y + q*o**2 + d*o + w*o**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56992748?\nAnswer: 2, 14248187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 67217 bigger than 4906817\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udjj when four letters picked without replacement from {y: 2, d: 1, u: 2, f: 1, j: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 9:42 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/3)\/3 - 34. Let v be -1*2 - (37 + u). Do 2\/403 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 - 63*o + 20. Let x be (-17 + -1)*((-3 - -5) + -6). Suppose 20*v - x = 18*v. Calculate the remainder when v is divided by u(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20492, -20494, -20496?\n\"Answer: -2*m - 20490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -83, -122, -167, -212, -251, -278?\n\"Answer: f**3 - 12*f**2 + 2*f - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68594 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/1*(-15)\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-3) - (-32)\/(-24). Let y(p) = -p**2 - 3*p. Let d be y(u). Let l be (6\/4)\/((-49)\/d). Which is the closest to l? (a) 0.1 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*o + 29 = 2*o, -4*o = 2*u - 26. Let p = 0.8 - 0.5. Let y = 0.1 - p. Which is the closest to 0? (a) -0.1 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2230 and 2890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 32 - 16 - 21 + 2*z + 0*z. Calculate o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -580 + 625.9. Let o = q - 45.629. Round o to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 11 = 5*i, -3*i = -5*l - 7*i - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 779 + -1549\/2. Let o(m) be the second derivative of -c*m**2 + 4*m + 0 + 0*m**4 + 0*m**3 - 9\/20*m**5. Find the first derivative of o(i) wrt i.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 884 or -2\/2103?\nAnswer: -2\/2103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-96)\/18)*2\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2909 + 0.032.\nAnswer: -0.2589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/59? (a) 12 (b) 0.1 (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1\/7 - 168\/(-98). Solve -d = k*a - 4*a + 12, -2*a - 5*d - 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*q + 2*q. Solve q = 6*h + 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -68*c**2 + 32*c - 125. Let h(b) = -7*b**2 + 3*b - 1. Calculate -10*h(n) + s(n).\nAnswer: 2*n**2 + 2*n - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 0.04341.\nAnswer: -0.0013023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.206 + -0.5?\nAnswer: -6.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -61500000 to the nearest one million.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -25*s**3 - 3*s**2 - 8*s + 7. Let j = 308 - 311. What is the tens digit of n(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100130321 (base 4) to base 5\nAnswer: -4124020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4216 by 6712.\nAnswer: -527\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q - 3. Suppose -d + 5*i = -10, -2*d + 5*i - 5 + 20 = 0. Let w be l(d). Suppose -4*f + w = 4*m, 5*m + 7*f - 3*f = 39. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12781752.\nAnswer: 2, 3, 101, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 - 4*r - 5. Let k be y(5). Let g be -1*k*(-2)\/(-6). Suppose 2*n = -g*n + 4. Solve 2 = -2*j - n*c, 7 + 14 = -j - 5*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -389777*b**2. Let c(r) = 81*r**2. Calculate t(c(k)).\nAnswer: -2557326897*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23531 - -23536. Which is the smallest value? (a) -1 (b) s (c) 12 (d) 4\/7 (e) 0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r**4 - 1782*r**3 + 1778*r**3 - r**2 + 10 + 8*r**4 as m*r**4 + b + v*r + g*r**3 + h*r**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pifpiq. Give prob of picking 1 p and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 3*p**2 - 2*p - 4. What is f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 - -20102001030?\nAnswer: 20102001232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqiqqqqqq?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2709*m - 32506. Let p be l(-12). Factor 8\/9 - 40\/9*y - 14\/9*y**3 + 46\/9*y**p.\nAnswer: -2*(y - 2)*(y - 1)*(7*y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7\/3)*f\/(f\/(f**(3\/28)*f*f))*f**(4\/3)*f*f\/(f*f\/(f**(-20)\/f)*f) assuming f is positive.\nAnswer: f**(-585\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1670)\/1336 - 54\/8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*g + 2 - 4 + 144*g)*((0 + 1 - 3)*(2 - g - 2) + 2*g - 2*g + g).\nAnswer: -30*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 8*l + 30 = 0. Let k(y) = -5 + 11*y + 1 - 3*y**l + 2*y**2 - 14*y. Calculate k(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 341*d - 337*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2050 - 12\/4)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 3*b**2. Let z be c(-3). Let j = z - -84. What is the greatest common factor of j and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4290 and 91046670?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/10)\/((-2)\/8). What is the least common multiple of (8\/k)\/(1\/15) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*p - 303 - 233, 2*p = -5*c + 369. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*-1*sqrt(832))**2 + sqrt(1872)*1 + (sqrt(1573) - (0 + sqrt(1573))).\nAnswer: 12*sqrt(13) + 29949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = 2*f - 23, s = 4*f - 57. Suppose -6*h - f = -8*h. What is the highest common divisor of h and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -31 (c) 3\/4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**3\/3 + 7*o**2 - 20*o - 83. Give h(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3020003142 + 2?\nAnswer: 3020003144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:04 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + 27954188115.\nAnswer: 27954188106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2678)\/1062 + 100\/(-2950).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t + 5. Suppose 11 = -4*p + 7*p + 4*f, -f + 3 = p. Let y(n) = -1. Calculate p*x(w) + 3*y(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 411*t**5 - t**3 - 2051*t wrt t?\nAnswer: 8220*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15493*h - 9 + 30966*h - 15470*h. Suppose 0 = -2*v - 1 - 1. Let f(l) = -l + 1. Calculate v*r(i) - 4*f(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480671.\nAnswer: 229, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11812064?\nAnswer: 2, 11, 23, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102084319.\nAnswer: 102084319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5*-74\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 741.98 - 742. Let g = 3.02 + -3. Let a = g + u. Put 0.1, a, -10 in ascending order.\nAnswer: -10, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c)**47*c\/(c\/(c\/c**6))*c*c**1 assuming c is positive.\nAnswer: c**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4\/4 + 7611*u**3\/2 - 60951*u**2\/4 - 38085*u\/2 = 0.\nAnswer: -5078, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.9226 micrograms in kilograms?\nAnswer: 0.0000007259226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n + 105 = 0. Let s = n - 16. Suppose -7*l + 258 = -s*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14310*k + 35 = -i - 14316*k, 10*i + 86 = 6*k for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24236781 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 4:31 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w**2 - w + 8. Let z = -241 + 252. Let h(q) = 21*q**2 + 2*q - 15. Calculate z*i(u) + 6*h(u).\nAnswer: 5*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = -105, 2*k + 6*k + 4 = 11*k - i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1248\/36*(-27)\/(-12). Is 12\/z + 7772\/13 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 - 65. What is the greatest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -203 + -42?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*s - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/17 + 438*a**2\/17 - 882*a\/17 + 26.\nAnswer: 2*(a - 1)**2*(a + 221)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -0.19. Let m = 4.99 + 0.01. Let i = 77 + -387\/5. Put z, i, m in descending order.\nAnswer: m, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 6*c**2 - 9*c + 2. Let y be b(7). Let n = 20 + y. Is (140\/n)\/(-5)*-14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182.9 - 165.91. Let x = 0.01 + m. Let j = 15 - x. Which is the nearest to j? (a) 1\/5 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.537 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*i - 46, 5*h + i = 148 + 96. Put h, -6, -1, 5, -5 in descending order.\nAnswer: h, 5, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 138644, 5\/3, 39, -0.1, -0.4?\nAnswer: 138644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 136 (b) -5 (c) 2 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-90)\/9 + (-294475)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1161? (a) -3\/5 (b) 1 (c) 5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13.55 < -14.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m - 45. Calculate j(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q**2. Let n(g) = -28*g**2 + 18*g**2 + 237 - 40 + 12*g**2 + 201. What is v(n(u))?\nAnswer: 36*u**4 + 14328*u**2 + 1425636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 0*m - 4*m + 7*m. Let r(j) be the third derivative of 13\/24*j**4 + 0*j**3 + j**2 + 18 + 0*j. Determine n(r(l)).\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -460 and 237666?\nAnswer: -109326360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-8))\/(-5))\/((-6)\/(-60))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 19. Let y(k) be the second derivative of -k**5\/20 + k**4\/2 + k**3 + 7*k**2\/2 - 2*k. What is y(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 206 = -52. Factor -l + 20 - 4 + 10*b + 5*b**2.\nAnswer: 5*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b + 251. Let g be c(29). Suppose 5*x + 4*n = 2685, -3*x + g*n = 15*n - 1579. Calculate the highest common factor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -9*l. Suppose -5*b - c + 45020 = l, 5*b - 48712 = c - 3682. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 10 = 2*v - 6*k, 4 = 2*v - k. Solve j - v*r = 2, -3*r + 8 = 4*j - 0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a millennium in centuries?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(230*h - 14 + 3 + 9)*(-2 - 15 + 7)*(0 - 2 + 1) to z + a*h and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**3 + 18*d**3 - 63*d**3 + 24*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexcxccx. What is prob of picking 3 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1701365234?\nAnswer: 1701365234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -130803, 85\/6 in descending order.\nAnswer: 85\/6, -2, -130803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 8*h - 10. Calculate x(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**2\/2 + 7*y\/2 = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2759463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457225954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1397035 less than or equal to -1397035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, 0 in descending order.\nAnswer: 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**5\/25 - 134*b**3\/15 - 252*b**2\/5 + 637*b\/5 - 8639. Factor t(f).\nAnswer: (f - 13)*(f - 1)*(f + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p + 10. Let d(c) = 6 + 0*c + c - 5. Let j(o) = a(o) - 6*d(o). Differentiate j(f) with respect to f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0104034 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from {p: 5, r: 2, k: 1, v: 1, c: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 26. Let i be o(28). Suppose 3*y = 2*z + 115, 76 = 2*y - i*z - 0*z. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17670.\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**(-20\/3)\/(p**(-2))**(28\/9) assuming p is positive.\nAnswer: p**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 3. Let i be z(-5). Is (i\/8)\/(2\/116) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/66, 220, 3\/16, -4, 1\/2?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2 + 1)*0. Let g(n) = 0 + r - 3*n**2. Let p(a) = -a - 3*a + 5*a. What is p(g(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -12 - -7) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9 + 2*v - 5*v - 2*v - 2. Let a be h(-3). Solve 0 = 5*o - a*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - t)*(0 + 2 + 0)*(1 - 1 - 1)*(-4 + 4 - 2).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/4 - 66193395*f**3\/4.\nAnswer: -3*f**3*(f + 22064465)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s - 20 = 0. Suppose c + 2 = 0, -b + 2*c = -4 - s. Calculate the greatest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + l = -122, -w = 2*l - 47173 + 47122 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 19*y**2 - 92*y + 2. Let t be s(23). Suppose -8*v - 661 = -13*v - t*i, 5*i = -v + 123. What are the prime factors of v?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 11 = -17. Solve 0 = -s*b - 5 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + -6.01. Let h be -2*(2 - (-6)\/(-4)) + 3. Let u be (1\/h)\/((-52)\/16*1). Which is the second biggest value? (a) 2\/9 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 3. Let r = 3 - m. Let p be (-2)\/(-8) - (-1)\/r. Solve 12 + p = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 32549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416 divided by -104.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**5\/8 - 4341*j**4\/8 + 190809*j**3\/8 - 2086215*j**2\/8 + 949875*j\/4 = 0. Calculate j.\nAnswer: -1490, 0, 1, 17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 2*(7 - 9). Let h(q) = -q + 9. Let t be h(5). Let v(w) = t - 2*w - 1 - z. What is v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikbbbikbfhbxfbi. What is prob of sequence hkbi?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 5*a - 9. Solve -a = 3*z - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43307799?\nAnswer: 3, 71, 203323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + u + 1. Let g(w) = 8*w**3 + 6*w**2 - 14*w - 5. Let c = 52 + -43. Suppose -3*r + 6 = c. Let j(d) = r*g(d) - 5*y(d). Factor j(k).\nAnswer: -3*k*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {g: 4, a: 1, v: 5, f: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 662 = 2*a, 2*g = 5*a - 0*a + 259. Suppose 0 = 4*k + 2*k + g. Calculate the common denominator of 165\/k*4\/(-6) and 58\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 127\/(62992\/9024)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**3*v*z**2 - 23*l**3*v - 4*l**3*z**3 - l**2*v*z**3 - 2*l*z**3 - 115*l*z**2 + 2*v*z**3 + 3*z**3 wrt l?\nAnswer: 36*v*z**2 - 138*v - 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*h**2*p**3 + 8*h**2*p + h**2*w + 1727*h*p**3*w wrt w?\nAnswer: h**2 + 1727*h*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 + 1596 + 738 - 311 + 1007)*(3*h**2 - 2*h**2 - 4*h**2).\nAnswer: -9411*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07495 minus 5?\nAnswer: -5.07495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 572 and 528476?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6986 - 6989. Sort u, -2, 0, 0.041 in descending order.\nAnswer: 0.041, 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 2. Let o be 3 + 1 + (r - -1). Sort 4, o, -5.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/721227 and 11\/468.\nAnswer: 8654724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*x - x = 6, 2*u - 5*x + 15 = 0. Suppose -6*z = -2*z - 12, u = 4*l + 5*z - 471. Suppose -14*q + 12*q + l = 0. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1475859 - 1475876.01006. Let t = l - -17. Round t to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*u - 6566 = 59670 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1\/1)\/(-3))\/((-1)\/6). Let f be -31*t - (-11 + 9). Let b = 73 + f. What is the remainder when 33 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180) + sqrt(180) + 0)**2 + (sqrt(5) - (sqrt(5) + -1 + sqrt(5) + 5))**2 + (sqrt(5)*-4)**2 + -4 + sqrt(5).\nAnswer: 33*sqrt(5) + 818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19\/10 - (-3)\/30)*20. Let m(p) = 13*p - 4. Let x be m(3). Suppose -f*y + 95 = -x*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -3, -4, -5 in decreasing order.\nAnswer: -3, -4, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -965 - -1774. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 6) to base 13.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b**3 + b**2 + b + 1. Is z(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300928 divided by -4\nAnswer: 75232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -461*d**5\/2 + d**4\/6 + d**3\/6 - 2487*d**2\/2 + 3021*d. What is the third derivative of u(o) wrt o?\nAnswer: -27660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2. Let n(y) = -53*y**2 + 151*y**2 + 29*y**2. What is n(r(a))?\nAnswer: 127*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v - 15*v**3 + 0*v**2 - 1 + 14*v**3 + 3 - 3*v**2. List the prime factors of l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/202 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 4*a - a, 4*p = -2*a - 12. Put 5, -7, p in decreasing order.\nAnswer: 5, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h**3 - 8*h**3 - 13*h**3 - 50572*h + 50572*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -3 in descending order.\nAnswer: 9, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 188696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = -x. Suppose x = -4*u - 23*u + 3861. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 6, 0 in decreasing order.\nAnswer: 18, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3138 divide 10716270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 5*w - 14, 0*w = -3*w - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16200)\/1480 + 6\/(-111).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 403.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)\/sqrt(6) - (sqrt(11) + sqrt(11) + 6*(sqrt(11) + -3*sqrt(11))))**2 - (0 + -6*1*sqrt(275)))*1.\nAnswer: 30*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493944 is divided by 639?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuwuuuuuuuuuwuuw. Give prob of sequence uu.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3540578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.76 + -0.24. What is the fourth biggest value in -0.3, f, -4, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 294, 615, 1242, 2277, 3822?\nAnswer: 5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a = -5*a + 3784 + 463. Is -134 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 38921*a + 2926. Is s(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 = -2*u, -11*n + 6*n - 2*u = 46. Which is bigger: 6 or n?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168568*z**5 + z**3 + 359460*z**2?\nAnswer: 10114080*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.9 (c) 49 (d) -5 (e) -0.1 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28380 + -28379.7. Which is the third smallest value? (a) -1123 (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -35*g + 119. Solve 0 = -0*z + z - 3*o - 5, g = 2*z - 3*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*n + 85*n - 47*n = -216*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2754, 2758, 2750, 2724, 2674, 2594, 2478, 2320?\n\"Answer: -d**3 + 11*d + 2744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 1. Suppose 5*y + 5 = 0, 5*y + 0 = j - 10. Calculate the least common multiple of j and a(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g - 24 = 0. Put g, -1, 0 in decreasing order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -1)*-2 + (-11397)\/1572. Which is the closest to 0.1? (a) -1 (b) 1\/10 (c) 0 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 125981, 125997, 126011, 126023, 126033, 126041, 126047?\n\"Answer: -n**2 + 19*n + 125963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2 = 2*w, 0 = -2*y + 4*w - 3 - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791868577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3307, -4103, -5429, -7285?\n\"Answer: -265*b**2 - b - 3041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b + w + 9 = 0, 2*w + 6 = -2*b. Let m be (2\/2)\/((-1)\/3). Is m < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8880 = -56*d - 347*d - 12076 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 5*f - 20. What is k(-8)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (17 - 5) + 60 + -41?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-22 - 522\/(-36))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11247, -23282, -35329, -47394, -59483, -71602?\n\"Answer: -g**3 - 12028*g + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5 (c) -2001\/5 (d) -24 (e) -2\/21 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + ((-24)\/36 - 20\/9). Let q = 10.9 + -11.49. Let n = 0.59 + q. Which is the third smallest value? (a) 0.3 (b) t (c) n (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (245 - 314)*3\/(-108)*4.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t + 13. Let v(h) be the first derivative of -1 - 7*h - 5\/2*h**2. Let r(k) = 6*u(k) + 11*v(k). Find the first derivative of r(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 6*q**2 + 2*q - 8. Let i(p) = p**2 + 4*p + 1. Let v be i(-5). Let c be z(v). Solve x - 3*j - 9 = 0, 2*j + 2 + c = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 12) + -21 - 7 - -73?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 2*w - 2. Calculate the least common multiple of q(-3) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-7 + 0 + 2). Solve 6 + 4*i**2 + k*i + 0 - 5 = 0 for i.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 110b4 + -4?\nAnswer: 110b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -q - q - 2*q + 5, -26*b - 8*q = -3*q + 344 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2140 + 2140 - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + 0 - 82 - -65?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12427684 to 3 dps.\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4484*z**5 - 3*z - 9245.\nAnswer: -89680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/12 + 4*(-2)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x. Let g be ((-5 - 349) + 1)\/((-3)\/15). Let u(q) = g - 20*q**2 - 1765 + 16*q. What is -u(o) - 16*z(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.371636 tonnes?\nAnswer: 5371636000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009578146 rounded to 7 dps?\nAnswer: 0.0000958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356524.\nAnswer: 2, 7, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1762 in 0.01, -0.1, 0.9, -5, 1.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1624, 0, -1 in descending order.\nAnswer: 1624, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 + -155. Calculate the remainder when (1374\/u - 1)*(-4)\/6 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77)*2*2*-4)\/(sqrt(132)\/(sqrt(12) - (sqrt(12) - -1*sqrt(300)))))**2.\nAnswer: 1612800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 30*c + 209. Let h be r(-11). Suppose h = 16*o - 6*o - 5700000. Round o to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, t: 2, v: 1, u: 3, j: 4}. What is prob of sequence tuyv?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 3610987?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6154, 6153, 6152?\nAnswer: 6151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 37*r + 37191 = 0. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:45 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from llslbllbblblsbb.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 85328, 88793, 92258, 95723, 99188?\n\"Answer: 3465*s + 81863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8680 + 928770\/107. Let p = 4775\/428 + s. Find the common denominator of -53\/7 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -4*c - 21 - 55, -4*o = -3*c - 51 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let z(o) = 142*o**2. Give j(z(r)).\nAnswer: 40328*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.716852 less than 3732263?\nAnswer: 3732176.283148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58292121 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 9*b + 19. Calculate h(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37709 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160388089 and 4024.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 39 - 192 = 462*t + 174 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.155 * -0.1.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - 0.9. Which is the second biggest value? (a) -1\/3 (b) p (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 + 1276*x**2 - 38 - 41.\nAnswer: 1276*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4) + (-134875)\/(-52). Suppose 0 = -4*c + 3023 + q. Suppose -4*t = 2*t - c. Calculate the highest common factor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -16*r + 10*r - r. Let g(w) be the second derivative of 0 - 2*w + 1\/6*w**3 + 0*w**2. Give x(g(j)).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/97 (b) 915 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, d: 3, x: 5, v: 1}. What is prob of picking 1 x, 1 l, and 1 v?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1960)\/2450*(-75)\/(-10)*-46*4\/12.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 2877*j**2\/2 + 2724195*j\/4 - 8381025.\nAnswer: 3*(j - 12)*(j + 965)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w - 45. Suppose -w*u = -6*u - 84. What is the greatest common divisor of 196 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.398 and -17.\nAnswer: -312.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 2, c: 8, o: 4}. Give prob of sequence of.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-40))\/((-9)\/(-48))*(-2665)\/82.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and 93\/1612576?\nAnswer: 1612576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255 is divided by 115.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988560 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1)*j)**(-3\/7)\/(j*j**(1\/4))**46)\/((j**(-6)*j)\/(j**8\/j))**(-5\/4) assuming j is positive.\nAnswer: j**(-1027\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102627051 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95457763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -826*p + 831*p + 45, 4*t = 28. Let w = 552 + -277. Let q = 3027\/11 - w. Which is the second smallest value? (a) 1 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 164 + 61 = 0. Suppose z = 5*j - 2*a, -4*j + 5*a = 2*a - 29. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 - 4*v**4 + 18*v**4 + (4*v**4 + 0*v**4 - 2*v**4)*(3 + 2 - 4).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3693405.\nAnswer: 4\/3693405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/12 + p. Suppose 2 = -3*f + 3*a + 8, 4*f - 18 = 2*a. Let l(j) = -j + 6*j + f*j - 11*j. Give v(l(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52951, 52956, 52961, 52966, 52971?\n\"Answer: 5*s + 52946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11274, 11208, 11104, 10968, 10806, 10624, 10428?\nAnswer: 10224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2324623*i**2 + 3*i - 25903623?\nAnswer: 4649246*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1728 - -1727.99999671. Round x to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -525506761 + -1?\nAnswer: -525506762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -2 + 0*a - 12*a**2 + 0*a**6 + 0*a**4 + 31\/210*a**7 + 79\/6*a**3 - 1\/30*a**5. What is the first derivative of r(o) wrt o?\nAnswer: 124*o**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 17. Suppose n + 3*n - 24 = 0. Let y = n - 12. Let j(l) = l + 3 + 1 + 2 - 2*l. Determine y*u(g) - 17*j(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbn when three letters picked without replacement from {n: 1, b: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*w = 581 + 19. Solve 0 = -31*s + 36*s - w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6 (b) 0.5 (c) 202\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 88 = 25. Let c = u - -51. Let r = c + -58. Solve -3*z = -r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 32\/6)\/((-2)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(1\/12))\/t)**37\/(t**(3\/5))**(-1\/11))**(-2\/155) assuming t is positive.\nAnswer: t**(-2071\/51150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1430 + 887. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*55398\nAnswer: 1661.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 227, 339, 533, 815, 1191?\n\"Answer: m**3 + 35*m**2 + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 5, -2, 8 in ascending order.\nAnswer: -2, -1, 5, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10326 is divided by 763?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 - 233. Solve 3*r - s = 2*r, -20 = -5*r - g*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j - 43 = -h, 0 = 3*h + 5*j - 197. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 44 = -16. Let s be (-30)\/(-4)*72\/q. Let t be (-1)\/(-45) - (-4)\/s. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*d - 12, 5*g + 2*d = 34 - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**3 + 4*n**2 - 4*n + 2. Let v(o) = 7*o**3 + 5*o**2 - 5*o + 1. Let u = 127 + -122. Determine u*f(q) - 4*v(q).\nAnswer: 2*q**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (322 - 319) + 60906012\/(-3) + 1. What is r rounded to the nearest 100000?\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13\/5, 2\/183, -4, -0.1, 13, 5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let z(u) = -58*u + 1. Let t(s) = 3045*s - 105. Let d(i) = -4*t(i) - 420*z(i). Calculate d(q(o)).\nAnswer: -24360*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 444.2236 years?\nAnswer: 5330.6832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -346292142 divided by 34\nAnswer: -10185063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/5)*a\/a**(-2\/5)*(a\/a**(1\/7))\/(a**(-4\/3)\/a) assuming a is positive.\nAnswer: a**(398\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 13*f**2 - 67*f - 12. List the prime factors of x(25).\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-1344)*-24)\/((2\/(-56))\/(8\/(-6)))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 668\/5 + -134. What is the second smallest value in 1\/3, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3861*q**3 - 2*q - 6671?\nAnswer: -23166*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 + 8*m**2 + 16*m + 218*m - 234*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.077 - 6.123. Let i = v - -1.2. Which is bigger: i or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 260 = 29*p. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w**3 + 22647*w**2 + 64*w**3 + 57*w**3 - 166*w**3.\nAnswer: 2*w**3 + 22647*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x + 89\/12*x**4 - 3 + 0*x**3 + 0*x**6 + 5\/14*x**7 + 0*x**2 + 0*x**5. Find the third derivative of t(j) wrt j.\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001110000 (base 2) to base 16\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/18743879 and -79\/5355394.\nAnswer: 37487758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 24*d - 126. Calculate w(24).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.04 * 2.29693.\nAnswer: 2.3888072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3 + 8*i + 6*i + 6. Let n(y) = 7*y + 4. Suppose -4*v + 59*v + 104 = 3*v. Calculate v*l(k) + 5*n(k).\nAnswer: 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 514555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -6988.77, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -240 - -0.148\nAnswer: -239.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(612) - (sqrt(612) + 0)) + (3*(sqrt(17) + 3 + 2*sqrt(17)))**2.\nAnswer: 162*sqrt(17) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 - 5*d**2 - 2*d - 51. Let r(m) = 2 - 13*m + 12*m - 15 + 12. Let a(t) = q(t) - 4*r(t). Find the second derivative of a(v) wrt v.\nAnswer: -24*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 2*c**3\/3 + 55*c**2 + 1267*c. Give q(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*5\/25 - (-1809)\/4221. Suppose -3\/7*m**2 + 20\/7 - 36\/7*m + w*m**4 + 16\/7*m**3 = 0. What is m?\nAnswer: -5, -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/270)\/(42*(-4)\/71840). Let r = 4\/567 + q. Find the common denominator of -35\/24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*1*12\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 5)*(23*i + 39*i - 18*i) + (-17 + 8 + 20)*(2*i - i + i) in the form z + s*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 4*k = -148494. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1339\/15042 - -22\/327. Suppose 0 = -5*u - 5. Let b = u + 1. Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:52 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59403891*r**2 + 2*r - 126964412 wrt r.\nAnswer: -118807782*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 10, p: 2}. Give prob of picking 1 e and 1 c.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 153\/198*((-6)\/(-15) - 0) and 47\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21806 + 5?\nAnswer: -21801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-14))\/((4095\/(-60))\/21).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3481*p**2 + 2*p + 2292 wrt p.\nAnswer: 6962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -85, 142, -30, -4, -2, -5.\nAnswer: -85, -30, -5, -4, -2, 5, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = 12. Let d(f) = 2*f + 3. Let b be d(v). Is 9 a factor of -2 + (12 - b\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12)*-2)\/((-301)\/(16856\/112)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*c - 0. Let i be c\/6 + 196\/21. Suppose 3*s - 201 = -3*r, 3*r - 8*r + 4*s = -362. Calculate the greatest common factor of r and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 12:15 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*h**2 + 6*h**2 + 14 - 16 + 2*h**2 with respect to h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217\/4 + 803\/16. Let w = 9\/226 + -3008\/339. Find the common denominator of w and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9812538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2721321425?\nAnswer: 5, 181, 601397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-901)\/(-318) + (-1)\/(-6). Let u(q) = 8*q**2 - 86*q**3 + 5*q + 87*q**d + q**2 - 18. Determine u(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b = -33*b - 3*h - 510, 0 = 5*b + 2*h - 815. What is the least common multiple of 15 and b?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-2)\/(2\/(-1)). Let z(a) = 0 + a**2 + 1 - 2. Let p(j) be the third derivative of 2*j**5\/15 + j**4\/12 - 7*j**3\/6 + j**2. Give v*p(m) - 6*z(m).\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 + -0.5. Sort 4, 0.02, -5, q in increasing order.\nAnswer: -5, 0.02, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, w: 3, i: 13}. What is prob of sequence ihwh?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 156916.\nAnswer: 627664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 75675 (base 8) to base 11\nAnswer: 21888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:44 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -336, -674, -1012, -1350, -1688, -2026?\n\"Answer: -338*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20985300 divided by -6995100\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 + p**4 - 3*p**4 + (-3*p**3 - 2*p**3 + 3*p**3)*(-114*p + 43*p + 34*p) to l*p**3 + b*p + t*p**4 + h + v*p**2 and give t.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 56761*c - 56764*c + 9, 9*g - 3*c = -21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p - 10 = 5*j, 4 = -p - 2*j. Suppose p = 3*k + 3*g - 12, 2*g = 5*k - g - 44. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1235 + -1286. Is j bigger than -99\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = -1 + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssp when three letters picked without replacement from {p: 2, d: 4, b: 2, s: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -1\/2*k**2 - 1\/6*k**3 + 0*k**4 - 9\/20*k**5 + 2 + k. Give s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17\/4)\/((-1)\/(-4)). Let y = -27 + 61. Suppose q + y = 2*q. What is the highest common factor of q and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n + 2*n + 3 - 16*n. Let v(g) = 10*g - 7. Give 9*t(r) + 4*v(r).\nAnswer: -5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-326)\/(-24) - 14)*(2 - (0 - 664\/(-320)))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -62. Calculate the highest common factor of 64 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 30*l**2 - l. Suppose 5*d - 91*r + 95*r = 33, 4*d - r + 3 = 0. Give t(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 551*j**6\/30 + 325*j**4\/8 - 17*j**2 - 7. Find the second derivative of y(c) wrt c.\nAnswer: 13224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:00 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 35 = -5*n. Let w = -731 + 727. Suppose -3*v - v = -12. What is the closest to 1 in v, w, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 8. Let o be q(6). Determine v so that 4*v - 2*v**3 + 8 + 14*v - 2*v**o + 14*v**2 + 4*v**3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4677026527?\nAnswer: 4677026527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 749948305 a multiple of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1582*u**2 + 1582*u**2 + 659*u**3 + 28*u - 720*u**3.\nAnswer: -61*u**3 + 28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 2*p - 2. Let m be u(-3). Is m >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 22820?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308 (base 16) to base 9.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9822 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/72*4\/12*-8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -679, -782, -1127, -1834, -3023, -4814?\n\"Answer: -20*x**3 - x**2 + 40*x - 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 325280 a multiple of 1034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaai when four letters picked without replacement from aooaivoaioaeaaea.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 17 + 1, 0 = -4*y + 3*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ris when three letters picked without replacement from priirtfst.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 + (-68)\/(-20). Suppose 2*m = t, 2*m + 0*m + y*t = 0. Suppose -4 + m = -z. Let w(r) = -2*r**2 + 6*r. What is w(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.171 * 185.07.\nAnswer: 216.71697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2250105 (base 6) to base 14\nAnswer: 3009b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 - s**3 + 2*s**2 = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011875213579 rounded to seven decimal places?\nAnswer: 0.0011875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 6*a - 9. Let j be t(7). Let z be 5\/2 - j\/(-4). Suppose i - 36 = -z*i. Calculate the remainder when 23 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 9*g - 10. Let q be u(7). Solve 0 = -n - 2*c - 8 - 0, 12 = -q*n + 2*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**3 - 2*v**3 - 2*v**3)*(-20*v - 52 + 52) to the form g*v + l*v**4 + f + z*v**2 + x*v**3 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**6\/720 + q**4\/6 + 38*q + 1. Let y(v) be the third derivative of p(v). Let t(u) = 79*u - 1. Calculate t(y(k)).\nAnswer: -79*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 30 + 4 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*v + 4*m = -825*v + 12, 12 = 2*v + 4*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 14*c. Let n(a) = -6*a. Determine n(x(d)).\nAnswer: -84*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 45*b - 496. Let g(h) = 60*h - 630. Let a(t) = 7*g(t) - 9*i(t). Give a(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89660 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186.5 + -187. Let t = 106 + -109. Sort r, t, 0.2, 3 in increasing order.\nAnswer: t, r, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011001010010000101 (base 2) to base 15\nAnswer: 128a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.64000922 - -1.64. Round x to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -10, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1101111111 (base 2) to base 9\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 + 8*l**2 - 16*l + 78. Let u(r) = -2*r**3 - 3*r**2 + 6*r - 27. Give 8*u(x) + 3*v(x).\nAnswer: 2*x**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 326.0261 + -326. What is s rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -815611, -815587, -815563?\n\"Answer: 24*z - 815635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffjjkkkwkwjjkkwxwp. What is prob of picking 1 k, 1 w, and 1 f?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 1. Let r(p) = 4. Calculate -r(n) - 6*z(n).\nAnswer: -6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*y + 2*v, 35 = 5*y - 5*v - 0*v. Suppose 0 = -7*k + y*k - 162. Factor 30*m**2 - 5*m + 2*m + 2*m**3 - 116*m**3 + 6*m**3 - 81*m**5 + k*m**4.\nAnswer: -3*m*(m - 1)*(3*m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - a = -4*a - 520, 3*t + 3*a = 390. Let i be 8\/48 + 154\/12. Calculate the highest common divisor of t and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582235918 is divided by 168.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4) - 15\/20)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4 + 4 - 155*z**3 - 139*z**3 + 291*z**3. Let m(t) be the third derivative of t**6\/120 - t**3\/6 + t**2. Give c(s) + 2*m(s).\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 582\/(-196) + ((-1)\/(-1) - -2). Let q(y) = y**3 + 17*y**2 + y + 16. Let n be q(-17). Are d and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -80*y - 7. What is d(-1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2941615150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14341*z - 14360*z + 2736. What is the remainder when 1871 is divided by z?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -9. Let r(w) = -w**3 - 4*w**2 - 2*w + 12. Let c be r(-4). Suppose c = 4*g + 4. Calculate the least common multiple of g and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2410.097 minutes?\nAnswer: 144605820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1813\/(-4403))\/(3\/(-17)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034090 is divided by 1034088.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*g + 68 + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -189 + 193. Suppose -5*j + 5*p + 2947 = 2*p, -3*j + 1777 = -v*p. List the prime factors of j.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 792819*q**4 + 382589*q wrt q?\nAnswer: 9513828*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.76, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2657 + -1175. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 916*l + 4. Let i be 2\/3 - 31\/(-3). Let y be (i + 1)*1\/2. Let r be x(y). Round r to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5\/32, -170, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6538603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -116028*b - 232390. What is u(-2)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 18*t - 1 - t + t.\nAnswer: -22*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6509 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovwwoowojowo. What is prob of sequence ww?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -397*p + 145828. Determine s(367).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*i - 450*i + 525 = 0 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*s + 232*s = -211*s + 4403 + 1957 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510223, 510418, 510613, 510808?\nAnswer: 511003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 14 + (-1 - (1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/39024 and 55\/104064?\nAnswer: 312192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/10)\/(6\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yqpdpydyydqyddpyyp.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 0*v + 6*v - 8*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -20) + (-1 - 0 - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 1. Let o be j(-3). Suppose 3*y - 73 - 17 = -a, -o*a = -y - 482. Find b such that a*b**3 - 180*b**5 + 127*b + 68*b**4 + 16*b**2 - 127*b = 0.\nAnswer: -2\/5, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -2a08678?\nAnswer: 2a08666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 37 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 7, 10\/19, -85, -20, 0.09?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:51 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - 92\/(-28). Suppose g*s = 9 + 6. What is the least common multiple of 4 and 42\/s + 2\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31855735 to the power of 1\/2, to the nearest integer?\nAnswer: 5644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/(-5))\/(((-16999)\/445)\/191)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86007.\nAnswer: 3, 28669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = a - 124, -9*q - 368 = -3*a - 4*q. What is the lowest common multiple of 4 and a?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (57 + -78)*(-11)\/3. Let s(r) = -i*r + 77*r + 8*r**2. Let u(y) = -5*y**2. What is s(u(w))?\nAnswer: 200*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 411153283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.8 + 23.2. Let n = g - 36. Which is smaller: n or 5\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33987, -33982, -33967, -33936, -33883, -33802?\n\"Answer: q**3 - q**2 + q - 33988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**(37\/4))**(-6\/19)*a**(-2\/3)\/a**(-2\/7)*((a**(1\/3)*a)\/a*a)**(7\/3) assuming a is positive.\nAnswer: a**(-3725\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -10 - (18 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -132, -1, 3, 17 in increasing order.\nAnswer: -132, -3, -1, 3, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 663.406585 + -449.40675. Let z = x + -214. Round z to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 4*c, 3*j + 10 = 3*c + 2*j. Suppose 5*f + 29 = 5*i + 2*f, -5*i = c*f - 14. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159854.\nAnswer: 2, 257, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-4*i - 3*i + 3*i)*(-2 - i + 2)*(0 + 3 - 1 + (-4 + 3 + 2)*(-1 + 3 - 1) - 7 - 1 + 1) as t*i + u + f*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m**2 + 24 + 3*m**2 - 29 - 2*m**3 + 16. Find the second derivative of n(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2669*n + 10 = 2670*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.184 (c) 0.5 (d) -0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k**2 - 2*k + 3. Let d be r(2). Let l = 2341 + -131133\/56. Let v = l - -3\/8. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15785 and -0.02.\nAnswer: -0.003157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t + 1. Let o be w(-7). Let f(q) = -o + 0 - 2*q + 2. Let s = 3 - 5. Determine f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + 4 + (-3 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -8, 3 in increasing order.\nAnswer: -8, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(135)*1)\/sqrt(3) + ((sqrt(270) + -3*-1*sqrt(270) - sqrt(270)) + sqrt(270))\/sqrt(6).\nAnswer: 4 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1714 - 42826\/25. Let i = 26471\/54900 - -127\/2196. Calculate the common denominator of i and b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by 448.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 94*w + 1074. What is u(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Let y(p) = 2*p**2 + 152518151*p. Determine y(x(v)).\nAnswer: 8*v**2 - 305036302*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4\/3 - 548*n**3\/3 + 34900*n**2 = 0.\nAnswer: -698, 0, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.501657268 to 1 dp.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83939 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/380*(-1 - 7). What is the fourth smallest value in a, 0.3, 3, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -645\/2 + 323. Let q = -5.5 - -5.6. Which is the closest to 3? (a) q (b) 0.7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -227, 1693, 3613, 5533, 7453, 9373?\n\"Answer: 1920*w - 2147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -57205 (base 11) in base 7?\nAnswer: -463211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - ((22 - (-19 - (-38 - 5))) + -2 + -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 l when three letters picked without replacement from {j: 1, m: 2, l: 1, d: 3, c: 3, i: 9}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 3)*((-l**3 + 4*l**3 - 5*l**3)*(3*l - l - 4*l) - 2*l**4 - l**4 + 2*l**4).\nAnswer: -30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057846543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.86 + -45.36. Which is the third biggest value? (a) -1\/79 (b) 0.3 (c) -1\/3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 - (-4 - 1). Let u(d) = 4*d + 3*d**2 - i*d. Let f(v) be the second derivative of -v**4\/4 - 2*v. Determine u(f(g)).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -447, -444, -441?\n\"Answer: 3*u - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from {g: 9, z: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11094701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1516035*b**3 - 2*b**2 + 1279125.\nAnswer: 9096210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7648601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 957923891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1021134 (base 5) to base 7\nAnswer: -100456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 + 410 = 5*n - t, 4*n - 5*t = 511. Let l be (496\/(-12))\/((-10)\/(-15)). Let g = n + l. Calculate the highest common factor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 121, 128, 135?\n\"Answer: 7*n + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.0791, -5\/2, -3, 26?\nAnswer: 0.0791","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4080119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*15\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/7))**(-21))**(2\/127)*(z**(-1)*z)**24\/(z**(1\/2))**(-20\/9) assuming z is positive.\nAnswer: z**(1054\/1143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 9)*(2*m**5 + 5*m**3 - 5*m**3).\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3112202033 (base 4) to base 12\nAnswer: -36463b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -31*h + 222. Let c be w(7). Suppose 14 = 4*t - i, -3*i + 1 = -5. Solve t = -c*y + 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**6\/m)\/(m\/(m*m**(-2)\/m)))**(1\/27))**(-38) assuming m is positive.\nAnswer: m**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 18*b**2. Let m be 9\/(-12) + (-30)\/(-8). Let z(k) = m*k - 4*k + 0*k + 0*k. What is j(z(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/10 and 97\/252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 23, -4 in ascending order.\nAnswer: -4, 0.4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -0.76, 2.2, 4, -6?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -16*g - 97. Determine m(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 162*w**2 - 6*w + 5. Does 7 divide p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 - 0.017. Let r = 0.547 - 0.584. Let s = u - r. What is the closest to s in -1, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5 + 5*f**2 + 7*f**2 - f**3 - 13*f**2 + f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 0.071168?\nAnswer: 2.277376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 10:58 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 2048500*s - 30728625.\nAnswer: 5*(s - 15)*(s + 409715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 6. Let x(a) = -7*a - 12. Calculate -5*j(p) - 2*x(p).\nAnswer: -p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-10) - (5 + -6). Which is the fourth smallest value? (a) -3\/4 (b) r (c) 4 (d) -2 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206958 not equal to 9206961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97880*y - 53122*y - 44759*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104073*a**2 - 3 + 3 - 104009*a**2.\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 12*p**2 - 12*p + 16. Let j be h(11). Suppose -5*x - 269 = 3*q, j*q + 7*x - 2*x + 435 = 0. Let u = 1 - q. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 82, 119, 156, 193, 230?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 211226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 53. Suppose 0 = -3*r - 3*n + g*n + 756, 0 = 2*r - 5*n - 515. Calculate the remainder when r is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1\/4, -301?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -17, 16, 85, 202?\n\"Answer: 2*q**3 - 5*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-3) - 2\/(-1). Suppose 5*u = 2*b + 13, h*u + 5*b + 10 = 5*u. Sort 0, -1, u in descending order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110 - 110?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -33708*u - 68096. Calculate z(-2).\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 4494?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113\/23 + (-26)\/(-299)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 48. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 4:50 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 2, u: 1}. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 226 = 4*h - 5*a, 4*h - a - 324 = 0. What is the first derivative of h - 46 + 121*p**4 + 174*p**4 - 23*p**2 + 23*p**2 wrt p?\nAnswer: 1180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8843254740 from 24.\nAnswer: -8843254716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/10 - 13*y**4\/24 + 13*y**3\/2 - 71*y**2 - 2. Let h be l(4). What is the greatest common divisor of h and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3002.81513915786 - 0\nAnswer: 3002.81513915786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11666 + -2?\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (159*(10 + -2 - 7))\/((-2)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (-13 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1020*r**4 - 23*r**3 + 45656*r**2 wrt r.\nAnswer: 24480*r - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 11, e: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182*g**4 - 238*g**2 + 3019 - 3019 wrt g?\nAnswer: 4368*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 181. Is 12 a factor of i(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2 - 10*c - 19 + 43 - 162 with respect to c.\nAnswer: 2*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {u: 2, j: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94320433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 29*z. Suppose 0 = -u - 2*q - 11 + 5, -u - 3*q = 10. Let j(s) = -113*s**u - s + 112*s**2 + s. Calculate y(j(w)).\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*l + c = -159*l + 7, -4*l + c - 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/3)\/s*s)**(-19\/5)*s**(2\/7)\/s**7)**(2\/121))**(-11) assuming s is positive.\nAnswer: s**(878\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578747 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 176 (b) -17 (c) 0.3 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**3 + 7*g**2 + 14*g - 3. Let i(z) = -3*z**3 + 8*z**2 + 13*z - 4. Let n(k) = -2*a(k) + 3*i(k). Calculate n(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081115851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1362 = -5*g - 102. Calculate the greatest common factor of 36 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-80) + (-182)\/30 + 4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -18*c**3 - c**2 - 6. What are the prime factors of q(-4)?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -1\/3*h**4 - 2\/3*h**3 + 2*h**2 + 1\/5*h**5 + 0 - 6*h. Suppose q(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjvv when four letters picked without replacement from jvjvjjvvvvv?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 + 93.5. Let s = 11.05 - 0.05. Let y = h - s. What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -c0?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72\/(-360) + (-4061)\/(-5) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**3*l - 10*f**3 - 2*f*l - f + 15*l**2 wrt l?\nAnswer: f**3 - 2*f + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014212 to 6 decimal places.\nAnswer: 0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 - 135. Let t = 7 + 3. Calculate the smallest common multiple of (-12)\/3 - (-80)\/x*-3 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -61. Solve g*f + 2 = 6*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2422791 millennia in years?\nAnswer: 242.2791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341407 and 968203.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/20 - 2*z**4\/3 + z**3\/6 + 17*z**2\/2 - 7*z. Let y be r(8). Is y + (2 + -1 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-55 - 8))\/((-2)\/(-24)). Suppose -45 + 15 = -3*j. Suppose -j*v + 12 = -h*v. Put 3, v, 8 in decreasing order.\nAnswer: 8, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-9))\/(11109\/(-504) + 21) - 4\/(-50)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154783375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:58 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/313 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v - 11*v - 164 = 603 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 3\/2*j**3 + 3\/2*j**2 - 6*j.\nAnswer: 3*(j - 2)*(j + 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 177.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4488733130 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/74011 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 36 = f. Let u(t) = 3*t**2 + 4*t. What is u(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 1 - 1 + (-4 - 2 + 4)*(2*m - 3*m + 2*m))*(1 + 0 - 4).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26156?\nAnswer: 2, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19488199.\nAnswer: 23, 401, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879 is divided by 927?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 6*z. Let h = 8 + -7. Let f be (20\/12)\/(h\/3). Let m be a(f). Put m, 1, -1 in ascending order.\nAnswer: m, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)*-4*-3)\/(sqrt(1000)*4*4 - sqrt(1000)).\nAnswer: 6*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53608 - 4058 = -768*w + 265*w - 1479*w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1136\/(-710)*(-10)\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2 + 24. Let g be (-4)\/o - 384\/39. Let w = g - -28. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*y - 88*y + 45*y - 7.\nAnswer: -3*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 - 38 = 0. Calculate the least common multiple of b and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.2, 3\/8, -4, -0.87 in descending order.\nAnswer: 3\/8, 1\/3, 0.2, -0.87, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r + 9*r + 15 - r**2 - 19*r - 2. Give k(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 19*m + 8. Let n be d(10). Let u be (n\/7)\/((-1)\/35). Suppose -6*b + 30 = -0*b. Solve b*f = -5*y + u, 3*y = f + 2 - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 981, 1921, 2741, 3387, 3805, 3941, 3741, 3151?\n\"Answer: -9*m**3 - 6*m**2 + 1021*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9*k + 5470 = 0. Let p = k + -250. What is the greatest common factor of p and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 43*o**6\/120 - 5*o**3\/2 + 32*o**2. Differentiate j(g) with respect to g.\nAnswer: 129*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 + -140.8. Let j = 0.4 - 0.16. Is j > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-12)\/(-9) + 7. Suppose 4*h + i = -h + 260, -260 = -5*h + q*i. Calculate the greatest common factor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306 and 68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.028, 5, -61981?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - u**3 + 4*u + 2*u**2 - 2*u**2 + 2*u**3 + (0*u**2 + 0*u**2 + u**3)*(1 + 0 + 0))*(6*u**2 - 3*u**2 - u**2).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 354642037\/9228 + 2\/4*(-2)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*o - 3*o = 367, 5*w + 3*o - 635 = 0. Let y = w + -47. Which is bigger: y or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and -170108.\nAnswer: 5613564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 29, 64, 113, 176, 253, 344?\n\"Answer: 7*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3373 + 28*z + 6743 + 33*z - 3370 + 14*z - 80*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(13) - sqrt(1300)).\nAnswer: -45*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*t - 1. Let n(q) = 2*q**2 - 6*q + 6. What are the prime factors of n(t)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*d - 9*d + 13685 + 16638 + 20270 + 32*d)*(-d - d + d) in the form c*d + t*d**2 + g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13170632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*m**3*y**3 + 11*m**3*y + m*y**2 - 8*m*y - 3*y wrt y?\nAnswer: 840*m**3*y + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 84 and -21.75.\nAnswer: 62.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 66. Let c be u(13). Solve 5*k + 3 = -x - c, 3*k = 2*x + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*j**4 - j**2 + 47 - 23*j**3 - 21*j**3 - 49 + 14*j - j**2 + 46*j**3 in the form g + f*j + i*j**4 + l*j**2 + r*j**3 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*10*7\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178365599.\nAnswer: 31, 659, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 147.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 11. Let u(q) be the third derivative of q**4\/8 - q**3\/2 + q**2. Let p be u(2). Let n(o) = -o - 4. Let x(l) = p*k(l) + 8*n(l). Give x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 473008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - -0.85. Let w = x - -2.1. Put w, 0.1, -0.4 in descending order.\nAnswer: w, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23234223 (base 5) to base 7.\nAnswer: 1541350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + z + 34, -2*h + 36 = 2*z. Suppose -2*n + 21 = h, 3*s - 4*n - 83 = 0. Calculate the highest common divisor of s and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - 77*t**2 + 80*t + 473. What is s(-20)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4637374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 12 - 4)*(2*q**3 + 3*q**3 - 4*q**3) to the form s*q**2 + y*q**3 + c + u*q and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*a - 4*a**3 - 250*a + 7*a**3 + 124*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 855 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.7 and 52.14597466?\nAnswer: 47.44597466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let o(c) = -6 + 556*c + 40*c + 68*c + 5 + 3. Calculate y(o(u)).\nAnswer: 1328*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 8. Determine v(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 165.44 and 72789.456.\nAnswer: 72954.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*b**3 - 100*b**3 + 183*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202222220202 - -120000?\nAnswer: -202222100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - 7 - (-6 + 0) - (25 - 14).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 3. Let u be s(0). Let i(x) = -5*x + x + 0*x + u*x + 15. Let m be i(13). Solve 1 = h + m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5846139 and 46521?\nAnswer: 17538417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u - 19. Suppose -2*z + 0*z - 4*a = -4, 0 = 4*a - 12. Let q be v(z). Let r = q - -68. What is the remainder when 1 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1003.6 - -1003.8. What is the second biggest value in 3, -711, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 15.6, -0.2, 5, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + 2*x)*(-2 + 1 + 11)*(-3 - 3 - 7).\nAnswer: 130*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1849, -7264, -16289, -28924, -45169?\n\"Answer: -1805*y**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/28)\/1*(5 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 7*v**2 - 20*v - 17. Give l(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6241167 (base 9) in base 15?\nAnswer: 45cc24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 - -0.24. Which is the nearest to v? (a) 2\/13 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225*4\/(-8)*(-30)\/(-135)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 66*x - 397. Give o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 7*f = 16. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329150340*b**3 - b + 212817222.\nAnswer: 1974902040*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 7*c**2 + 669 - 13*c**2 + 0*c**3 + c**3 + 23*c**2.\nAnswer: c**3 - 3*c**2 + 669","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:14 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by ((-12)\/(-30)*125)\/(-3)*(-6)\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - z - 92, 283*q - 92 = 155*q + 132*q + 2*z for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 + 28 - 16806*p**3 + p - 16814*p**3 + 33618*p**3 in the form s*p + f*p**2 + x + l*p**3 and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 4. Let d be q(-4). Let v(k) = -4*k. Let s(w) = -11*w + 1. Let x(r) = -3*s(r) + 8*v(r). Let o be x(d). Are 1 and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 3\/2 (b) -1\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.2 (c) 3\/2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*(sqrt(272) + 2) + -5)*-5)**2 + -1 + -5.\nAnswer: 2400*sqrt(17) + 109019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8957)\/(-1378))\/(494\/8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -771981\/484 + 1595. Let p = j + -23473\/484. Find the common denominator of p and 2*(-2)\/72*-1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1505787 is divided by 40688?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4277503 is divided by 1069345.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/120 + q**5\/20 - 5*q**4\/24 - q**3\/6 + 7*q**2. Let w be a(-4). Let f be (0\/12)\/(1 - w). Is 1\/3 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j + 7 - 7)*(10*j + 0*j - 25*j) + j**2 + 2 - 2 + (2*j - 2*j + j)*(2*j + 0 + 0) to the form d + v*j + s*j**2 and give s.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by ((-28)\/(-6))\/((-3)\/(-9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7304 divided by -4154?\nAnswer: -3652\/2077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 2 + 2 + (0*b + 0*b + 2*b)*(7*b - 55*b + 18*b) - 337*b**2 - 291*b**2 + 248*b**2 in the form p*b**2 + v*b + t and give p.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, -13\/2, -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)\/(w*w*w\/w**(-1)*w*w*w)*w**(-3\/7)\/(w*(w*w**(-7)*w)\/w*w))**49 assuming w is positive.\nAnswer: w**(-385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*m + 6, -2*a + 4 + 8 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 5 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2580, 10347, 23294, 41421, 64728, 93215, 126882?\nAnswer: 165729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 9*d**2 - 26*d - 66. Determine y(8).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v - 1. Let b be x(-2). Suppose b*y + 4 = 2*a, 36 = -5*a + 2*y + 4. Let z be 1\/(-3) + a\/(-6). What is the nearest to z in 0.1, -1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850785643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r = -32*r. Factor r*p - 2\/15*p**3 + 0 + 0*p**2.\nAnswer: -2*p**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j - 5 + 1\/2*j**3 + 3\/4*j**2. Factor q(o).\nAnswer: 3*o*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most -142\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/4*((12\/(-27))\/(-2))\/((-234)\/2808)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 2*z, -l - 2 = -z - 2*l. Suppose 0*c + 4*c + 16 = z. Is 804\/21 + c\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -370*g*h**4 + 1301*g*h**3 - 3799*g*h + 3*g + 21 wrt h?\nAnswer: -4440*g*h**2 + 7806*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2548 is divided by 1024.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 9) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 37527504?\nAnswer: -5\/9381876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -101100011 (base 2) to base 12\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1388715, 2776802, 4164889?\n\"Answer: 1388087*v + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 30 - (15 + 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21)\/(27\/81)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - -14) + (10 - 50) + 34?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1665003085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*u**2 + 9*u**2 + 17*u**2 + (6 - 5 + 16 + (6 - 4 + 0)*(-3 + 7 - 3))*(-5*u**2 + 2*u**2 + 2*u**2).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1439 + -1435. Solve -4*m + g + w = 5*g, -4*m = 2*g - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - 2.94. Let n = -0.27289 - 0.02711. Put q, n, 0 in decreasing order.\nAnswer: 0, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooyyyoyyyoy. What is prob of sequence yyyo?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**18)**31)**47 assuming y is positive.\nAnswer: y**26226","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.2 - 35. Is 2\/9 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 + 402*d**4 + 22776*d**3 - 442912*d**2 + 1382016*d = 0. Calculate d.\nAnswer: -59, 0, 4, 12, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222\/17 or -13?\nAnswer: -222\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 91 = -4*o. Solve 16 = -4*h + 2*a, 4*h + 4*a + o = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-2 - 0) + 9 + -18 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 26*d**2 - 6*d + 12. Let f be z(3). Let m = 228 - f. Solve -2*j + 1 - 11 = m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ryrbbyyry?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 18\/3 - 0. Suppose -2*j + 6 = -w, 4*w - j + t = 5*w. Suppose -2*x + 20 = w*x. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-33)\/18 - (-2606)\/12. Let j = -79 + t. What are the prime factors of j?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*l**3 + 13*l**3 + 2 + 61*l + 3*l**2 - 33*l**3 + 0 - 2*l**2 to m + i*l**3 + a*l + y*l**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/108)\/((-34)\/6). Is 1 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 - 8*o**3 + 5*o**3 - 3*o**3 - 15*o**3 + 5*o**3 + (-5*o**2 + 5*o**2 + 2*o**2)*(-o + 5*o - 2*o) + 6*o**3 - 4*o**3 + 0*o**3.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + 238*o. Let l(u) be the second derivative of -u**3\/6 + u - 6710. What is l(k(s))?\nAnswer: 4*s**2 - 238*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -60*v**2 - 7. Let n(o) = -36*o**2 - 4. Let a(s) = -4*m(s) + 7*n(s). Let b(t) = 2*t**2 - 68*t. Give b(a(z)).\nAnswer: 288*z**4 + 816*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 3*f - 28 + f + 11*f. Let b be o(-12). Differentiate 1 - 13*v**2 - 2 - b with respect to v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9786 at most as big as -9607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 1. Let a(p) = -2*p - 1. Let u(j) = -1. Let r(x) = -a(x) + 5*u(x). Give -3*h(b) - r(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/30 + o**2. Let z(y) = 308*y - 155*y - 144*y. What is z(v(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1270 in descending order.\nAnswer: 1270, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13. Suppose n = -2*q - 7 + 5. What are the prime factors of ((-4)\/(-8))\/q*-38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 = 5*u + 4, 5*x + 10 = 0. Suppose 0 = -u*n - 52 + 145. Suppose w = 3*s - 51, 0*s = -2*s + 2*w + 34. What is the remainder when n is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271325?\nAnswer: 5, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 - 4*i - 6. Let q be t(-4). Is q\/((2\/(-7))\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*v + 870591 = 7*k, -5*k + 4*v = -1450985. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2875855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.7 (b) 6\/7 (c) -20 (d) 1\/9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -169*r + 70. Let n = 612 + -622. What is the thousands digit of w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403849*j**2 + 1379513*j wrt j.\nAnswer: -807698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1009406 + 28.9949094. Let i = -29.1 + s. Round i to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68121?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10620 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 931061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-1) - 2) + 1. Let b = -7 - -11. Suppose -13 = b*c - 1. Put -4, c, h in decreasing order.\nAnswer: c, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1271 and 0.013.\nAnswer: -0.1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20302201 (base 4) in base 9?\nAnswer: 54341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30599 and 177822?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2403 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 5 (b) 2\/7 (c) -381\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:54 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 2*o**2 + 2. Let t(z) be the second derivative of -1\/12*z**4 - 5*z - 1\/20*z**5 + 0 + 0*z**3 - 1\/2*z**2. Give -3*b(v) - 6*t(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Suppose 5*f - 15 = 4*k, -2*f + 6*f + 2*k - 38 = 0. Let o(a) = 6 - 6 - f*a. What is o(l(d))?\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)\/(p**(3\/19)*p))\/(p**25*p)**(1\/27) assuming p is positive.\nAnswer: p**(-1202\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2. Let f be (70\/15 + -4)*3. Let y(j) = 11*j**f + 90 - 90. Determine y(i(h)).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7566252 and 711.\nAnswer: -7565541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-4)\/(-80))\/((2\/(-104))\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572976.2 rounded to the nearest ten thousand?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**2. Let q(a) = 895*a**2. Determine y(q(u)).\nAnswer: 5607175*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y**3 - 7*y**2 + 14*y + 495. Let a(b) = 15*b**3 + 13*b**2 - 26*b - 993. What is -6*a(s) - 11*n(s)?\nAnswer: -2*s**3 - s**2 + 2*s + 513","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((15\/(-2))\/5)\/1)\/((-3)\/4). Solve -r + 5*f = -32, -d*r - 98*f - 6 = -94*f for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4\/24 + 23*v**2. Calculate p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f. Suppose -8 = 2*a - f. Sort -2, a, 5 in decreasing order.\nAnswer: 5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4*i, 24 = -5*s - 0*s + 4*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 2360*t**4 - 1858041*t**3 + 489145878*t**2 - 854411868*t - 30592022328.\nAnswer: -(t - 786)**3*(t - 9)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 + 6.3. Let p = -0.17 + -0.83. What is the nearest to p in -2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 16*h**2 - 66*h - 36. Give d(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -40. Let o(d) = -3*d + 11*d + 11*d + 23 + p*d - d**2. List the prime factors of o(19).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - ((-258)\/(-2709) + 374\/42).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15324 (base 10) to base 15\nAnswer: 4819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*d + 45 = 3*x, -3*d = 9. Find the second derivative of -x*i**5 + 7*i - i + 2*i wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7289*h = -8398*h + 130862 for h.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/9*204\/(-85). Solve -s - 4*q + 11 = 0, 0 = s - i*s - 3*q + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3 and 19\/16362.\nAnswer: 16362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 - 7*y - 4. Let k(l) = 4*l**2 - 2*l - 6. Let z(q) = -2*q**2 + 2*q + 3. Let f(d) = 2*k(d) + 5*z(d). Give -6*f(p) - 5*s(p).\nAnswer: -3*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -759 at most -757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53424 and 49757778.\nAnswer: 398062224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 + 14 - (508 - 488)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -132 - (3 + 0 + -2). Let a = l - -159. What is the highest common factor of 78 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5292 - 21a?\nAnswer: 5075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123.8 - -124.33. Which is the smallest value? (a) -2 (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 4, m: 3, t: 1, g: 4, z: 1}. What is prob of sequence zt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 131*h**2. Let v(q) be the third derivative of 0*q + 0 + 0*q**3 + 0*q**4 + 24*q**2 - 1\/30*q**5. What is v(g(w))?\nAnswer: -34322*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1 - 0)\/(-1). Let u be (3 + 0)\/(w\/(-3)). Let i(s) = 15*s - 22. Let n be i(1). Which is bigger: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3 - 13. What is the units digit of (12\/l)\/((-36)\/(-2280))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50934 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28539 and 311220.\nAnswer: 140982660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 42*d**3 + 2*d**2 - 2*d + 1. Let q be p(1). Let r = q - -45. Let u be 78\/10 + 1\/5. What is the highest common factor of r and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 2 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 12*m**2 - 10*m - 11. Determine g(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 46*c + 1. Let t(r) = -12*r + 12498 + 12493 + 13*r - 24991. Give z(t(y)).\nAnswer: 2*y**2 + 46*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/8, -20, -0.132?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 2*d**2 + 2*d**2 + (-2 + 2 - 1)*(d**5 + 2*d**5 + 0*d**5) + d**5 - 3*d**5 + 4*d**5 - d**5 + 4*d**5 - 5*d**5.\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8137393?\nAnswer: 11, 41, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0*t**2 + 0*t**5 + 0*t**3 + 16*t + 0 - 1\/15*t**6 - 3\/2*t**4. What is the third derivative of a(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110 - -351311?\nAnswer: 351421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + 7 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p + 21*p - 19*p)*(372*p + 2*p**3 - 372*p - 494*p**2).\nAnswer: 24*p**4 - 5928*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -58*m + 2694 - 2694 + 71*m. Let x(s) = -7*s. Suppose -5*l + 22 = -3*l. Determine l*x(n) + 6*a(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkkkkkkkkkkk. What is prob of picking 2 k?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 0*y**2 - 11\/6*y**3 + 0*y**4 + 0 - 11*y - 3\/5*y**5. Find the second derivative of g(z) wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 19590.\nAnswer: -2\/9795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133674496 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 13*r**2 - 7*r - 62. What are the prime factors of p(-19)?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffpf when four letters picked without replacement from {p: 12, f: 7}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -281 (base 9) to base 3\nAnswer: -22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 83, -0.4, -1, 128?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d*t**3*x - 10*d*x**2 - 5*d*x - 4*d - 211*t**3*x**2 + 3*t + 2*x**2 wrt t.\nAnswer: 36*d*t*x - 1266*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20e (base 16) to base 2\nAnswer: -1000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 50*h - 47*h + 138107 = 0, h + 55243 = 4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 4*t - 7*x, -46*t + 51*t - 12*x - 55 = -2*x for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -110\/5477 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8) - ((-2359)\/(-420) + -6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4091*o + 69557. What is r(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 63 - (-2 - 5) - (10 + 6) - 7\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35356.\nAnswer: 2, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + 40*l - 15. Let p be f(-17). Let d be 1518\/5 + 6\/15. Let o = p - d. List the prime factors of o.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7487112 divided by 4\nAnswer: 1871778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2)*4\/(-60)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*q = 22, -b + 3*b + 2*b - 2*q = -32 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 694717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3\/5 (c) -165\/17 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13 + 72*g**2 + 16 - g - 2. What is the units digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 148263669, 296527339, 444791009, 593054679, 741318349?\n\"Answer: 148263670*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466466 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -6, -16, -28, -42?\n\"Answer: -n**2 - 5*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13639.149097565 - 0.4\nAnswer: -13639.549097565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 8:43 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 17. Let m be p(13). Let w = m - -9. Let v = 104 + -101. What is the remainder when w is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - 2\/7. Suppose l = 2*j - 3*j - 1. Put 5, 4, j in increasing order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 9:19 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35663 - -58784. Let l = p + -23104.503. Let f = -16.4 + l. What is f rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 3 = -13. Let r be (-690)\/(-840) + k\/14. What is the closest to 2 in -6, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 12)*(-2 - 14\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2039 (base 16) to base 13\nAnswer: 39a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2820\/83 or 34?\nAnswer: 2820\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 14*a. What is the least common multiple of 945 and d(15)?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52861)\/(-9) + 336\/(-756) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80232 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 7*m - 8. Let y be f(8). Let u(x) = x**3 + x + 3. Let a be u(y). Factor 2\/7*d**4 - 2\/7*d - 6\/7*d**a + 0 + 6\/7*d**2.\nAnswer: 2*d*(d - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**2 - 127*k + 53. What is a(-21)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + ((sqrt(7) - (0 + sqrt(7) - sqrt(7)))*-2 + -1*sqrt(7) + -3)*-2))**2.\nAnswer: 4752*sqrt(7) + 13428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 70, 134, 236, 388, 602?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -24, -4\/5, -40?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4996022.1 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*c*u**2 - 344*c*u - 3*c + 115563*u**2 wrt c.\nAnswer: -40*u**2 - 344*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201.31 - 174.31. What is the nearest to 1 in 0.5, -0.2, v, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-18)\/63)\/(2\/(-14)). Suppose 20 = 3*s - i*l, -l = -0*s + 5*s - 16. Let j = 27 - 13. Solve 2*v + 2*c = -2*c + j, -s*v - 2*c + 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - (2 - (-141)\/(-15)). Suppose 3*y - 70 = -m. What is the remainder when 38 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 40. Let q = -105 + 119. Calculate the remainder when n(0) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(54*p - 54*p + 23*p**2) + 5*p**2 + p**2 - 5*p**2 + (-6*p**2 - 4*p**2 + 2*p**2)*(0 - 1 - 2).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/2472888 and -185\/4945776?\nAnswer: 4945776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 21 = 11*y. Let 21*n - y - 8*n**4 - 17*n**3 - 57*n + 47*n**3 + 9*n**2 + 17*n**4 = 0. Calculate n.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323972.\nAnswer: 2, 11, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 61. What is the smallest common multiple of 2 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 3*l**2 + l + 3. Suppose 29*s - c = 26*s - 12, 0 = -s + 5*c - 46. Let b(x) = -x. Calculate s*h(j) - b(j).\nAnswer: -j**3 - 3*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -292580 to the nearest 1000.\nAnswer: -293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, 2\/3, 0, 1\/14 in decreasing order.\nAnswer: 25, 5, 2\/3, 1\/14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3589 and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 10*k**2 + 12*k + 1. Give x(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1878 greater than -5632\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (255\/102)\/((-2)\/(-4)). Solve 2*w = 6*w + 4*u, 32 = -3*w + x*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(2 - 1)*-1. Let o(k) be the second derivative of k**4\/12 + 3*k. Let r = 705 - 703. Let c(p) = 4*p**2. Give r*c(i) + w*o(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - -2.23. Let b = k - 0.13000011. Round b to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/14)*x*x**(3\/4))**(-3\/4) assuming x is positive.\nAnswer: x**(-129\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026137 to five dps.\nAnswer: -0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -988, -1483, -1978, -2473, -2968?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*392.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 2. Suppose 2 - 5 = -3*b. Let t be 4 + -1 + -3*b. Let k be u(t). Solve -5*s + 3*c - 8 = 5, 2*c = -k*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 - 3*v**4 - v**4 + (-v - 2*v**2 + v)*(-3*v**2 - 3*v**2 - 3*v**2) to the form m + q*v + p*v**3 + d*v**2 + f*v**4 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -29804*d + 29809*d + 85, -4*d + 27 = p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -17\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4258 + 15129. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = p - 8, 0 = 4*o + 4*p - 0 - 16. Put 0.2, -1\/5, 13, o in ascending order.\nAnswer: -1\/5, 0.2, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/424 and 35\/840368.\nAnswer: 840368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 29*d - 89. Let x be i(32). Solve -24 = -x*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139.42 + 139. Let y = -0.08 + m. Which is the closest to 1? (a) 2\/5 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1. Let c(k) = -k - 1. Suppose 4*x + 5*l + 49 = 0, l + 3 + 8 = -x. Let w be -2*(3 + -4 - x\/4). Let t(o) = w*c(o) - b(o). What is t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -5*c**4 + 4*c**3 - 2284*c - 1015. Differentiate t(k) with respect to k.\nAnswer: -60*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 21\/(-84)*0\/1 - -68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - (-14 - (9 + -25) - 12).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, s: 6, r: 2, z: 2}. Give prob of picking 1 z and 1 s.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let r(c) = -6 - 1 + y + 4. Let s(i) = 27*i**2 - 12*i - 7. Let f(j) = 6*r(j) - 2*s(j). Let f(q) = 0. Calculate q.\nAnswer: -2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/21 - 1024*f**4\/7 + 28962*f**3\/7 + 784216*f**2\/21 - 289344*f\/7 = 0.\nAnswer: -8, 0, 1, 36, 1507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -9. Let t be 3 + 2\/2 + d + 1. Solve 0*s = -2*s - t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 17 = -3*f, 5*f = 4*l + 12 - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + 1173\/4. Let n = -7034099\/23976 - -35\/5994. Let k = u + n. Which is the second smallest value? (a) k (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 25*j**2 - 5*j - 100. What is the tens digit of v(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5429?\nAnswer: 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 30 = a, 3*a - 42 = -l + 5*l. List the prime factors of ((-2780)\/(-25))\/(a\/45).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/5)\/u*u*(u**(1\/15)*u)\/u*(u**(-2)\/u)**(-1\/82)*(u**(2\/5)*u\/u**(-6))**(-1\/47) assuming u is positive.\nAnswer: u**(-37819\/57810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -2\/3, 0, 418, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from sttsasvvmt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 1, u: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*k + 32, -4*a - 5 = -5*k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + t = -1, -5*p - 2*t + 25 = t. What is the third derivative of -d**4 - 7*d**2 + 2*d**5 - 8184 - 6*d**p + 8184 wrt d?\nAnswer: 120*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -171 - -173. Let n(c) = -c**2 + 1. Let d(v) = 6*v**2 + 14*v - 1. Let b(g) = -d(g) - 4*n(g). Let q be b(-6). Solve -l - q = u*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.3, 3, 0.4 in decreasing order.\nAnswer: 3, 1\/2, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1443 = -i, -3*i + 0*i + 4329 = 3*n. Calculate the common denominator of -4*(-1)\/7 - i\/(-378) and (2\/(-16))\/((-1)\/54).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 4*u**2 + 5*u + 6. Let r be j(-4). Suppose 0*d = -f + d - 46, d = 1. Let s = f - r. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 21. Let i(q) = -q. Let u(p) = g(p) - i(p). Does 6 divide u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32420808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/1)\/(-1) - 28. Let t be (-64)\/(-36) - 6\/d. Suppose 6 = 2*j + t. Calculate the greatest common factor of j and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)*3 - 5. Sort -5, 20, -1, z.\nAnswer: -5, z, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {b: 1, h: 2, y: 6, j: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 8.961. Let g = i + -0.029. Let b = 0.008 - g. Round b to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*o - 6 - 27\/2*o**2 - 3\/4*o**4 - 21\/4*o**3.\nAnswer: -3*(o + 1)*(o + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m*n*s + 2*m*n - 5*m*s**5 - m*s**3 + 2*n*s**3 - 5*n*s wrt s?\nAnswer: -100*m*s**3 - 6*m*s + 12*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/216 + 8\/27. Which is the closest to 2\/5? (a) -1 (b) d (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2063.42 + -2702.2612. Let f = m - -0.0412. What is f rounded to the nearest 10?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32b58 (base 12) in base 2?\nAnswer: 10000011011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18235 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*i + 38*i + 28176. Suppose -j + 4*s + 979 = 270, i = 5*j + 3*s. List the prime factors of j.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/19)*q*q*q**(-1\/80)*q assuming q is positive.\nAnswer: q**(4781\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s - 1. Let w(i) = -1. Let r(o) = -v(o) - 2*w(o). Let g be r(6). Let y = g + -15. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 - 5745*o**3 + 17214*o**2 - 11472*o = 0. What is o?\nAnswer: 0, 1, 2, 1912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**4\/2 + 10*x**3\/3 - 8*x**2 - 24*x + 163. Factor q(a).\nAnswer: 2*(a - 2)*(a + 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188846073 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 17}. Give prob of picking 4 d.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and 3290.8806849277.\nAnswer: 3290.7906849277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 4\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 69 = -71. Solve g = -4*r - 21, 2*g + 2*r = x*g + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*q + 6262 + 8588 = 0 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 2904, 64.\nAnswer: -36, 64, 2904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-1))\/(8\/(-16)). Calculate the remainder when 59 is divided by (-38)\/(-3) - j\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136575200 to the nearest one hundred thousand.\nAnswer: 136600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 133?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 374739\/(-27155)*30\/(-483)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17+-274801\nAnswer: -274784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -95*r**2 - 110*r + 26073. Determine x(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/53)*a\/((a*a*a**(-3\/8))\/a*a*a))**(-10) assuming a is positive.\nAnswer: a**(1365\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0*h)**42 assuming h is positive.\nAnswer: h**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.6 (b) 4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 650109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*y - 1302, 3289 = 19*r - 14*r - y. Calculate the highest common factor of 584 and r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 r when four letters picked without replacement from {m: 7, r: 4}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 8*z = 1384. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -3428\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 10*z**5 - 418*z**4 + 1704*z**3 + 2664*z**2 = 0.\nAnswer: -6\/5, 0, 6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 9630419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 14*l - 3. Is 11 a factor of (-4 - l) + -1 + 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 - 9*h**2 + h**2)*(5 + 3*h - 5) as l*h**2 + a + t*h + f*h**3 and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-486)\/(-956) - 0 - 11\/22. Let v be (-5)\/(-717)*436\/35. Let i = v + j. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -7. Let k(c) = 60*c - 152*c + 60*c**2 + l*c + 24. Let y(j) = j**2 - j + 1. Let p(s) = -k(s) + 24*y(s). Let u(d) = 3*d. What is u(p(f))?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.56 in -0.06, -1\/4, -1, -3, 8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 2*c - 7. What is y(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3189*c - 3252*c - 77 + 1022 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = y - 30, -y = 2*i - 32. Let z = y + -2. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1578\nAnswer: 1\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-3))\/4*-1. Let g be 3 - (-34 + y + -2). Suppose -2*j - j - 146 = -5*p, -104 = -4*p - 4*j. Calculate the highest common divisor of p and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4018925 to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 85*j - 16. Let u be p(-34). Let m = u - 1034. Is 75 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.35 + 21.85. What is the biggest value in 2, -1, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 3. Let b(p) = p**3 - 6*p**2 - 7*p - 4. Let k be b(7). Give x(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3328).\nAnswer: 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - c - 1172146, -i + c + 234440 = 2*c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8233\/3 + 2745. Which is the nearest to -2\/9? (a) 1 (b) 4 (c) 5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 2*o + 1. Let g be b(0). Solve 0 = 2*f - g + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**4\/8 + 9*u**3\/2 - 30*u**2 - 63*u. Find k such that g(k) = 0.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289.084 + 264. Let z = 25 + y. What is z rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 493, 3841, 12915, 30577, 59689, 103113, 163711?\nAnswer: 244345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - -6. Suppose 7*r = 2*r - 20. What is the units digit of (-2 - 0)*n\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 3*t - 16, -5*t + 4*n - 5 = 0. Let g = -16 - t. What is the tens digit of 14\/(-8)*(g + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v. Suppose -3*j - 3*x + 38 = 8, 2*x = -3*j + 31. Let m be p(j). Does 15 divide (-328)\/(-11) - (-8)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221381945.\nAnswer: 5, 44276389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3 + j**2\/2 + j - 2. Suppose 0 = 5*w - 35. Suppose -5*q = -4*s + 23, 5*s - q - w = 6. Give y(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11144020 (base 8) to base 2.\nAnswer: -1001001100100000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1259*x - 46. Let z(c) = -839*c + 33. What is 5*v(l) + 7*z(l)?\nAnswer: 422*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m + 2. Let u(p) = -3*p + 1. Let w(r) = 4*b(r) - 9*u(r). Determine w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 31*o - 1093. What is n(-27)?\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 1 + x - 4*x + 3 - 3*x**2. Suppose 7 + 8 = -5*u. What is the units digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 1. Let u(c) = 20*c. Let l(v) = -19*v - 1. Let h(k) = -4*l(k) - 3*u(k). Give -2*h(g) + 11*o(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5808 is divided by 808?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**21)**(12\/11))**(-4\/7))**(2\/7) assuming w is positive.\nAnswer: w**(-288\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/2*2\/(-4). Suppose u = 2*i + 2*i - 128. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 13*p**2 - 2*p. Let t(u) = -u**3 + 10*u**2 + 3*u - 28. Let b be t(10). What is the units digit of a(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 235*i**2. Let r(z) be the first derivative of -z**2\/2 - 146. Calculate c(r(u)).\nAnswer: 235*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 9*q**2 - 19*q + 16. Let d be r(10). Let u = 204 + d. What are the prime factors of u?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b93dd (base 14) to base 8.\nAnswer: -5637767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 4*d + 6*d**2 + 3*d. What is the least common multiple of o(-1) and ((-20)\/6)\/(1\/(-6))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-35) - 1)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Let r = p + -6. Let o = 1.1 - 0.1. What is the smallest value in r, o, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 386511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 take away 137.1?\nAnswer: -107.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 50. Let k be i(0). Let l(z) = 28*z + 25*z - 4 - k*z. Give l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-866)\/(-18) - (30\/27 - 1). Let t be (4\/(p\/(-60)))\/((-10)\/6). Calculate the highest common divisor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691752*p**2 - 2767023*p - 60 = 0. What is p?\nAnswer: -4, -5\/230584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 18*v**2 + 11*v + 18. Let j(p) = p**3 + 8*p**2 + 5*p + 8. Let x(n) = 4*i(n) - 9*j(n). Let b(m) = -6*m**3 + m. Determine b(f) - 4*x(f).\nAnswer: -2*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 8*o - 6. Let c = 11 - 2. Let w be j(c). Suppose 30 = 4*r - w*r. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2 + 5\/(-3)). Let m(f) = -f - 9. Let j be m(-11). Let t(i) = 2*i**2 - 2 + i**3 + 2*i**2 - 7*i**j + 6*i**2. Give t(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrj when three letters picked without replacement from nrjvffm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-4*sqrt(156) + sqrt(156) - sqrt(156)) + sqrt(156))\/sqrt(6))\/(4*sqrt(2)*-2) + -4.\nAnswer: -3 + 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 40*j = s, -4*j - 10 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-3)*13\/((-21372)\/(-36)). Let r = -699\/274 - x. Which is the second smallest value? (a) r (b) -3\/4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 107117 and 3.7.\nAnswer: 107120.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(108) + -2.\nAnswer: -6*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + 2*v**2 + 4*v**3 - 2*v**3 + 0*v**3)*(-4 + 2 + 0) as u*v**2 + s + h*v**3 + i*v and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d - d - d - 23 - 9*d to l + s*d and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -90) + -111 - -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 40 - 85 - 3484*c**2 + 581*c**2 to q + v*c**2 + b*c and give v.\nAnswer: -2903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*(v*v**(-3)\/v)\/v*v)\/v)\/v)\/(v*v*v\/v**7)*v*v**(-1)*v**(1\/6))**(9\/4) assuming v is positive.\nAnswer: v**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7641, -30960, -70119, -125358, -196917, -285036, -389955?\nAnswer: -511914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17048388 divided by -2604\nAnswer: -6547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 7*w - 37. Let x be o(-19). Sort 0.1, x, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2 - 14*s + 8. Let o be -15 + 15*(-48)\/(-36). Let j(h) = 6*h**2 - 13*h + 7. Give o*j(i) - 4*f(i).\nAnswer: 2*i**2 - 9*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (637\/(-65) - -9)*-15. Which is the closest to -2\/3? (a) k (b) 0.3 (c) -5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 36 = -3*f. Suppose b = -5*b + f. Solve 0 = -c - 0*c - 4*g + 12, 3*g - b = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*i - 3*i + 14 = 0, 0 = 2*v + i - 10. Differentiate 0 + 32*t**v + 10*t**3 + 4 - 10*t**3 with respect to t.\nAnswer: 128*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45090 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -5. Let c = 7 + h. Let x be (-14)\/(-6) - (-2)\/3. Solve -x*a - 2*p + 4 = 0, 6*p = -5*a + c*p + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9548 and 40796.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w + 3*f, 3*w - 2 = -4*f - 4. Let a = 12 - 49\/4. What is the nearest to -0.1 in a, 3\/2, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/((-26)\/39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (5 - 4) - (-1 - 0). Suppose -2*w + h*w - 651 = 0. Let g = 147 - w. What is the remainder when g is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 12*g**2 - 8*g - 17. Let i be r(11). Differentiate -31*v**2 + 1 + i + 8 + 22 with respect to v.\nAnswer: -62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - k + 3. Let y be (-10 + 14)*2\/(-3 - 1). Let a be y*(-9)\/36*-4. Give w(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 275323, 275469, 275615?\n\"Answer: 146*g + 275177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8742?\nAnswer: 2, 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -3\/28 (c) 1.14 (d) -0.31 (e) 3 (f) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + q**3 - 39*q - 45*q)*(-3*q + 3*q + q)*(-8*q - 3*q + 2*q).\nAnswer: 18*q**5 + 756*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 634, 1269, 1904?\nAnswer: 2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 + 3)\/(-1 + 3) + 20127. Suppose 11887 = 17*d - v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 0, 29, -4, -53 in ascending order.\nAnswer: -53, -4, 0, 29, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v = -53*v - 175 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 - 7*z**4 + 16*z**3 - 8*z**2 - 16*z + 16 = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 725164 divided by 4?\nAnswer: 181291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*k**2 + 14 + 2*k - 12 - 2*k**3 - 3 as z*k**2 + i*k + n*k**3 + b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 179, 126, 37, -88, -249?\n\"Answer: -18*u**2 + u + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-6)*(-28)\/(-420). Put f, -0.1, 5 in descending order.\nAnswer: 5, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56688 is divided by 330.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/20*(-10)\/(-3). Let d(r) = -r**2 + 5*r - 2. Let f be d(q). What is the units digit of f - -1 - (-1)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-1 + -5 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2746958378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*s**2 + 11*i**3 - 2*i*s**2 - 1206*s**2 wrt i?\nAnswer: 6*i**2*s**2 + 33*i**2 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 285 + 33?\nAnswer: 2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, 2, 32, 7129.\nAnswer: 2, 32, 216, 7129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16194, -16192, -16188, -16182, -16174, -16164, -16152?\n\"Answer: j**2 - j - 16194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (65 + -81 - (-47 - -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -3*v - 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(98) + 2 + 3 - (sqrt(98) + 0)*-4) + -3 + (5*(sqrt(98) - (sqrt(98) + 1*sqrt(98))))**2*-2).\nAnswer: -175*sqrt(2) + 24490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + m - 5*m + m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/19 + 70\/171. Let i(j) = -j**2 + 10*j - 9. Let z be i(9). Which is the closest to 18? (a) q (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13374 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 6) to base 5\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - 9*x - 86. Determine o(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000044379 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 2222?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 5\/3, -3, -4, 0.4 in ascending order.\nAnswer: -4, -3, 0.4, 1.3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68058*f**2 - 91235 wrt f?\nAnswer: 136116*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by 332507\nAnswer: 53\/332507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -68*k - 2. Let m(f) = 3*f**3 - 5*f**2 - 17*f + 14. Let x be m(4). Let l(i) = 17*i + 24*i - x*i + 16*i. Give t(l(r)).\nAnswer: 68*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*a = 5 + 23, 5*n - 3*a = 48. Suppose 4*j = -5*x - 21, -3*j + j + n = -2*x. What is the closest to j in 0.3, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*k = 50604, -5*u = -72*k + 74*k - 84361. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*b + 13, -3*x - b = 14 + 5. Let n(c) = -4*c + 5. Let l be n(x). Let y be (-19)\/(-3) + (-1)\/3. Solve l = z - y*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 12 + m**2 - 13 + 11*m + 3*m**4 - 22*m + 9*m + m**3 to d*m**3 + f*m**4 + s*m + g + n*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*r = -436245 - 284413, 0 = 5*r + 35. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 minus 27?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, s: 3}. Give prob of sequence ttts.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (81\/(-2 + -1))\/(5 - 30\/5). Solve 159 = -33*i + f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/7 + 101918*h\/7 + 1091175 = 0.\nAnswer: -101843, -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13449 (base 11) to base 13.\nAnswer: -8959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 968 and 10406?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c**2 + 16*c + 7. Let i(b) = 7*b**2 + 4*b + 6*b - 3*b**2 + 2 - 5*b. Calculate 7*i(n) - 2*j(n).\nAnswer: 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + -1 + (1*sqrt(72))**2)*2)*-2*-1 + 4.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41608 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361689, -723374, -1085057, -1446738, -1808417, -2170094, -2531769?\nAnswer: -2893442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 530650815 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1040.3 - 1039.3. Let s be ((-3)\/10)\/(-1 - 2). Which is the third biggest value? (a) 5 (b) 2 (c) j (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(784) + sqrt(16))\/sqrt(8) - sqrt(10)\/sqrt(125)*-2.\nAnswer: 4 + 42*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10326 divided by 3.\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161266476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76122082?\nAnswer: 2, 71, 661, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.5 (c) -7 (d) -2\/9 (e) -393 (f) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 6:28 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1, -19, 4\/3, 0.11 in decreasing order.\nAnswer: 4\/3, 3\/7, 0.11, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -490*a**5 + 12355*a**4 + 23895*a**3 - 7165*a**2 - 3365*a - 270 = 0. What is a?\nAnswer: -2, -1\/7, 1\/2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d + 2 = 78*d + 22. What is the biggest value in 7, 13, d?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2 - 69*s - 4 - 5 + 75*s. Let n be m(2). Solve -4*h + n = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 1}. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2933 + 0.2933. What is the closest to r in -0.5, 64, -2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*q = -6, 0*k - 2*q = -4*k + 32. Let u(o) = -o**2 + 6*o + 5. Let i be u(k). Suppose -6 - 24 = -i*z. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1600, -6415, -14460, -25741, -40264?\n\"Answer: -z**3 - 1609*z**2 + 19*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 1. Let u(p) = -546*p. Determine u(r(j)).\nAnswer: 1092*j - 546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 2*q - 2*q + 2*q - 4*q + 3*q + (3 + 0 - 2)*(0 + 0 + 2*q) + (-116 + 199 + 197)*(-3*q + q + 4*q) - 3*q + 2*q - q.\nAnswer: 563*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 268, 1057, 2352, 4135, 6388, 9093, 12232, 15787?\n\"Answer: -3*a**3 + 271*a**2 - 3*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {j: 4, q: 4, f: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**3 + 25*r**3 + 7*r**3)*(0 + 0 - 3*r) + (-2*r**3 + r**3 - r**3)*(-3*r + 16*r - 3*r) + 2*r**4 - 4*r**4 + 3*r**4 - 3*r**2 + 3*r**2 - r**4.\nAnswer: -95*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0 + 0*c**3 + 105*c**2 + 2\/33*c**4 - 1\/660*c**6 - 1\/165*c**5 + 0*c. Factor q(g).\nAnswer: -2*g*(g - 2)*(g + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1506, -9988, -24120, -43902?\n\"Answer: -2825*b**2 - 7*b + 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1478 or 1476?\nAnswer: 1478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142663.\nAnswer: 179, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 2*w**3 + 1 + 6*w**3 + w - 3*w**3 in the form b*w**3 + z*w + q*w**2 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 76*z**2 - 1175*z + 1100.\nAnswer: -(z - 55)*(z - 20)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 45246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:27 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(3\/2))**(-2\/15)*u**(-1\/12)\/u**(1\/4) assuming u is positive.\nAnswer: u**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 - 0.4. Let l = -34 + 33.9. Let q = -13\/33 - -2\/33. What is the nearest to l in -4, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 17. Suppose -3*f + 15 = 0, 267*f = -3*u + 269*f + 71. What is the remainder when u is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*r**2 - 45*r - 29406.\nAnswer: 200*r - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 24328 in descending order.\nAnswer: 24328, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61.73 + -91033.\nAnswer: -90971.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 17*v + 4*b = -208, 4*v + b = 179. What is the common denominator of (-72)\/(-120)*v\/(-18) and 149\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1244.89, 2\/11, 3\/5 in ascending order.\nAnswer: 2\/11, 3\/5, 1244.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2309 - -5120. What is the units digit of (26\/(-13))\/(1 + (-2817)\/k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(15888\/(-18))\/8. Let z = u - -488. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*o + 23 = 0, -8 = 4*m + 4*o - 40. Solve s - 3*z = -m, 2*z - 3*z + 5 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = -0*q + 64. Solve 4*h + 3*l = -8, -2*h - 3 = 3*h + q*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95631 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287188479?\nAnswer: 31, 41522209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -315 + -14744405?\nAnswer: -14744722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 11*f**2 - 11*f + 10. Let b be i(10). Suppose 4*y - 2*y = b. Let t(j) = -j**2 + j - 2. Determine t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 3\/(0 + -1). Suppose q*p - 117 + 35 = 0. Suppose -3*z - p = -3*x + 2*z, 4*x + 5*z - 8 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -588 + 599.84. Let j = x - 12. Let o = 0.27 + j. Round o to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25863, 50958, 76063, 101184, 126327?\nAnswer: 151498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/20*48\/(-45)*(-35)\/2?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 395019719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4) + (-1566)\/(-360))*(-24150)\/(-1449)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1321 - 1305 - 5348*w**2 + 2626 in the form z + j*w**2 + f*w and give j.\nAnswer: -5348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 1, -57, -1, -4, -3 in ascending order.\nAnswer: -69, -57, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(3*v + 6*v + 15*v)*(-2 + 1 - 1 + 0 + 0 + 2 + (-2 + 1 + 3)*(2 + 4 - 4)).\nAnswer: 192*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 divided by -29?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6263190 is divided by 11597?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 25 = -4*b - 2*q, 15 = -b - 3*q. Let d = b + -4. Suppose 0 = -9*t - 5*t - t. Sort t, d, -2 in decreasing order.\nAnswer: t, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 5*g - 55 = 3*t, -23 = -3*t - g. Solve 3*o = 4*k + t*o + 23, -20 = 4*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.13 + -0.13. Let t = 10\/47 + -67\/94. Which is the biggest value? (a) t (b) 2 (c) y (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100605707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -64, -1\/4, 3, -47, -43?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38*(-2)\/(-4)*(-449)\/2245.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, x: 2, u: 1, o: 5}. What is prob of sequence gu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*9\/117)\/(2 - 4). Solve z + 2*p = -9, c = z - 3*p - 10 - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -74 and -527\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (sqrt(1872) - ((-2*sqrt(1872))**2*6 + sqrt(1872))) + -2 + sqrt(1872) + sqrt(1872) + -1)*5.\nAnswer: -1347810 + 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3)\/12 + 82\/(-24)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 4) to base 6\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 15*x + 18. Let y be j(-1). Solve -4*b + y*b + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = 5*j, -4*v + 12 = -2*v - 4*j. Suppose -4*d = -v*k + 3*k + 15, 5*k + 25 = 2*d. Suppose -5*a + 6*a = d. Solve 5 + a = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -203*x + 199*x + 384, -2*x = -25*d - 296 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**7\/210 + 23*o**6\/120 + o**5\/6 + 281*o**4\/8 - 1392*o**2. Find the second derivative of w(m) wrt m.\nAnswer: -12*m**2 + 138*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 140077*v - 53.\nAnswer: 140077*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 5. Let z = 43 + -30. Suppose 0 = 14*a - 57 - z. Give u(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqqqaaqqqqaqq. What is prob of sequence qqaq?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 20 - 87 = -3*y, -4*y + 91 = -3*q. Let a(t) = -2*t**2 + 6*t + 9. Let g be a(5). Let o = g + y. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152012 (base 7) to base 9.\nAnswer: 44425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1293 plus 21881181444?\nAnswer: 21881181445.1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 21. Suppose 3*l + 2*l - p = 0. Let t(b) = 74*b**2 + 3*b - 2. Let u be t(l). Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -257261759.\nAnswer: -1\/257261759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 28209674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 23*m + 10*m - 9*m + 16 + 72 + 7*m**2 + 61. What is the tens digit of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5987396504807\/117000 + 409394695\/8. Let p = 6\/1625 + g. What is the common denominator of 58\/9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765630849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-94)\/(-18) - 2\/9. Let z(y) = y**3 + 3 - 2*y + 15*y - 8*y - 6*y**2. Let s be z(g). Solve s*k - 2 = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 728 and 910182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and -218756.\nAnswer: -218772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10956 and 123684?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -403, -660, -973, -1360, -1839, -2428?\nAnswer: -3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 13 - 4, 0 = 5*l - 4*b - 582. Solve 4*m - l = -98 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -7*y + 28, 120*w - y - 28 = 124*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1121214204423?\nAnswer: -1121214204421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = m - 3*p, 55 = 5*m + 13*p - 18*p. Let w(c) = 27*c**3 + c**2 - c. Let u be w(1). Calculate the highest common divisor of u and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 + 247. Sort 5, 1, m in decreasing order.\nAnswer: 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6.66?\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 + a - 158. Calculate r(0).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**4 + 0*o**2)*(-2 + 0 + 1) - o**4 - 3*o**4 + 3*o**4 + 6 - 2*o**4 - 6 - 118*o**3 + 118*o**3 - 55*o**4.\nAnswer: -59*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.913 and -11\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 9*y**2 + 31*y + 2. What is the units digit of w(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3389736 plus -2?\nAnswer: -3389738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*s**2 - 60*s**2 + 10*s**2 + 24*s**2 + 328*s**2.\nAnswer: 502*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + k**2 - 7*k + 6. Let v be n(-6). What is the remainder when (v\/42 - -8) + (-186)\/(-14) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.3 (b) -5 (c) -32 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gppj when four letters picked without replacement from jpjgggjjppjjpgjggg?\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*o = -58, 0 = -3*n + 2*n - o + 14. Let v be (16\/(-20))\/(1\/(-60)). What is the highest common factor of n and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*t = -1320. Calculate the highest common divisor of 30 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -6, -0.01, -0.37, -2\/29?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*i + 11*i**2 + i**2 + 10*i**2 + 121*i - 1018 - 20*i**2 to j*i + o + v*i**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329dd (base 15) to base 2.\nAnswer: 100111010001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -17 in descending order.\nAnswer: -4, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:42 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 16. Let r = 849 + -1423. Let s = -572 - r. What is the biggest value in s, 1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*b, 4*a - 5 = -3*b + 2. Let v be 88\/(-57519)*(-6)\/8. Let k = -107\/249 + v. Sort -0.07, a, k in decreasing order.\nAnswer: -0.07, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6870)\/(-229)*(84\/(-7))\/12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1948 - 5510 = -348*q + 11007 + 327 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/36 + -21351*(-50)\/103950\nAnswer: 75\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10734465, -10734467, -10734469?\n\"Answer: -2*v - 10734463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750993263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:17 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 8, o: 2, l: 1, z: 5}. What is prob of sequence gg?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480457, 480460, 480463, 480466, 480469?\nAnswer: 480472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 188*c**5\/5 - 117*c - 150. What is the first derivative of i(h) wrt h?\nAnswer: 752*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247 + -218. What is the remainder when 112 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 10*c - 2. Let d be (56\/(-35))\/4 - (-86)\/(-10). Give k(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043 + -0.461.\nAnswer: -0.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u - 39*u = -283*u - 1700 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149825 + 149828.00009. Let z = b + -3. What is z rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*s - 35 = 0, -s = -4*g + 2*s + 5. Solve 3*q = 0, -5*v = -g*q + 11 - 31 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*j - 343 + 329 = 0, j = -2*j - 12 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -253?\nAnswer: -5\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.387 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from ppfp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37109 plus 35?\nAnswer: 37144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -c + 2*r, 3*c + 40 = -0*c - 5*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**47*b**(-35\/2)\/(b**5\/b**(1\/4)) assuming b is positive.\nAnswer: b**(851\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 72733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10891 + 2*v + 3595 + 3575 - 4*v + 3603 to x + y*v and give x.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -148536403.\nAnswer: 3\/148536403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9 = -2*m - 3*r, 2 = -4*m + 2*r. Let a = 3 + -3. Let h(y) = a*y**m - 4 - y**2 + 3*y**2 - 4*y + 3. Give h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 129*u + 28427. Determine a(-220).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 822.96 + -843. Let w = -20 - n. What is w rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334716939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.3 (b) 2\/75 (c) -1\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8 - 3*x + 0*x**2 + 0*x**2 - x**2. Let k(b) = -b**3 + 4*b**2 - 2*b + 2. Let d be k(4). What is a(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s - 2. Let d(p) = 11043*p - 5726. Determine 3*d(g) - 8589*v(g).\nAnswer: -1227*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 1. Let s be 1\/2 + (-3)\/2. Let q be f(s). Let n be 1\/q - (-45)\/20. Solve -n = x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0 - 88. Let m = l - 25. What is the greatest common divisor of 133 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1648 = -6237*o + 6205*o + 720 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 258551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/4 + 3*n**3 - 5*n**2\/2 - 9*n - 4. Let i be v(8). Solve -w + 6*w = i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 5*o - 2. Let z be f(6). Suppose 8*l - z*l - 116 = 0. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93546, 91477, 88028, 83199, 76990?\n\"Answer: -690*c**2 + c + 94235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 8. Let d be l(-6). Suppose 9 = d*b + 1. Suppose 3*x + b = -x. Sort 4, x, -3 in ascending order.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 4*n + 6. Let m be 3\/9 + 32\/(-6). Let y be t(m). What are the prime factors of 3 + (-2 - y - -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 + 8042892*l**2 + 4042407720672*l - 602497323857216 = 0. Calculate l.\nAnswer: -1005436, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 36. Let k be (0 - 4 - -5)*209\/t. Suppose 59 = k*g - 208*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 31*h**2 - 115*h + 405. What is n(34)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 526, -26, 41, -9 in decreasing order.\nAnswer: 526, 41, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18133 + 25940. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 23*m - 31*m + 312 = -3*b, 2*b - 13 = -m - b for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r**2 + 125*r**2 + 135*r**2 + 94*r**2.\nAnswer: 318*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b = 41*b + 422. Let j = b - -398. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -696, -1898, -3100, -4302?\n\"Answer: -1202*b + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.144948 rounded to 2 decimal places?\nAnswer: 3.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/3*114597\/84 + (-1)\/2 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 6 - 14. Solve -u*i = -0*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b (base 16) in base 6?\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 491250925 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -644 > -12210\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) 3 (c) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 10:59 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*-1*sqrt(176).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 840226.6 years in decades?\nAnswer: 84022.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8019 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/11)*s**(-1\/12) assuming s is positive.\nAnswer: s**(-23\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + s - 417824 = -97827, -3*q = 2*s - 479994. What is q rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0322 - 0.2678. What is the nearest to 10 in -0.2, l, 2\/3, -2\/19?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0404758992 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 122*c**3 + 24653*c**2 + 1818*c - 40. Give m(-202).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*r + 1329 = 89*r + z, 5*r + 3*z = 1317. Calculate the remainder when r is divided by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835428 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1017 and 14351.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1592.111 litres?\nAnswer: 1592111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -1, 1, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23280)\/42 - 2\/(-7). Let j = -869 - l. Find the common denominator of 49\/22 and j\/25*(-1)\/(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1 (b) -2 (c) -39 (d) 1\/5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sszc when four letters picked without replacement from sssczzjhs?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 9*h + 3. Suppose -2*k + 1 = -k. Let j be 3\/k - (0 + 0). Solve -j*a + h*s = 0, 2 = -a - 2*a + 4*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2327 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(44)*-6.\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 - 39 = -5*j. Suppose -w + 8 = 3*c, 0*w - 2*w - 3*c = -19. Calculate the remainder when j is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 10*x = 4913. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 - 4*m**2 + 2*m**5 - 2*m**5 + m**5 - 2*m**5 - 2*m**5 - 4*m**5 + 4*m**5 + (m + m**3 - m)*(m**2 - 2*m**2 + 2*m**2) + 2*m**5 + 2*m**5 - 7*m**5.\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000 - -11111011000011?\nAnswer: 11111110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 5*f - 128. What is the smallest common multiple of 780 and x(-16)?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r - 8. Let g be y(-3). Suppose 2*v - 4*o = 140 - 12, g*v + 5*o = 308. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 2 u when four letters picked without replacement from {e: 2, u: 2, p: 2, a: 2, w: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 7. Suppose t = u + 2*u. Suppose -2*o = -2*n - 0 + 24, -u*n = -3*o - 46. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 1\/3, 1.7, -62\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + 1 + -2 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1252557, -2505385, -3758213?\nAnswer: -5011041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -147*20\/180*(-126)\/12. Factor 0 + 147\/2*w**3 + 21\/2*w**4 + 1\/2*w**5 + p*w**2 + 0*w.\nAnswer: w**2*(w + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/(3*6\/12510). Let u = m + -191. Let f = -10 + 28. Calculate the remainder when u is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70639963 and 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 + 5*w**2 - w - 1. Let n(u) = 7*u**3 - 9*u**2 + 2*u + 1. Give 5*d(y) + 3*n(y).\nAnswer: y**3 - 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 3*h - 2. Let x(s) = -2*s**3 + 4*s + 2. Suppose -3*r - 12 = -7*r + 3*c, -38 = -3*r - 5*c. Suppose a = -a - r. Give a*x(m) - 4*p(m).\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.841473 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 114 = -3*m, -5*d - 1509*m = -1506*m + 138. Let u = 5 + 0. Which is the second biggest value? (a) u (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101213 - -1232?\nAnswer: 103111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013288 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 1. Let w be f(-9). Let r = 0 + w. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 5*l**3 - 5 + 6 - 3 wrt l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -170*t - 2376. Determine u(-17).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -19*w**2. Let t(a) = a + 2. Let s(j) = -3*j - 7. Let o(d) = 2*s(d) + 7*t(d). What is z(o(g))?\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1791291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 4. Let w be g(4). Let v(d) = d + 3. Let c(i) = 4. Let t(f) = -3. Let k(r) = 4*c(r) + 5*t(r). Let y(h) = w*k(h) - v(h). Calculate y(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/18 + (-2)\/(-9). Calculate the lowest common multiple of 4 and 140\/21*3\/h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 4459.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 1 + 0*p + 3)*(2*p + 0*p - 8*p).\nAnswer: 6*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1514541*y = 1514526*y + 935 + 265 for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 114 or 691\/6?\nAnswer: 691\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/21*-6 - -11859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984\/19 bigger than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m - 5 - 6*m + 20*m + 5. Let v(o) = -7*o + 12. What is a(v(y))?\nAnswer: -21*y + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*q = 653*q + 3*s + 21, 15 = -q - 4*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**2*q**2 + 11*l**2*q + 2*l*q**3 + 160*q**3 wrt l.\nAnswer: -8*l*q**2 + 22*l*q + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10011?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8. Let f = -3.4 - -0.4. What is the nearest to z in 0, -2\/15, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-10) + (-32940)\/(-300). Which is greater: b or 1212\/11?\nAnswer: 1212\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a factor of 177175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 - -269. Calculate the highest common divisor of j and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.008 - 0.062. Let t = 0.02 + p. Is t greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*o + 463 - 676 = 140*o + 22779 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 plus 84495?\nAnswer: 84493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1251736 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 543, 541, 531, 507, 463, 393, 291?\n\"Answer: -i**3 + 2*i**2 - i + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 18 + -11 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 + 130093169*i**2\/5.\nAnswer: -i**2*(i - 130093169)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 20, 2691, -4, 1, 0 in descending order.\nAnswer: 2691, 20, 5, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 12:17 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (1 + 4 + 0 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 44. Let j be 3*-1 + (16\/v - 3). Put 0, -7, j, 2 in decreasing order.\nAnswer: 2, 0, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:51 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2066 + 204388?\nAnswer: 202322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 10233500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(200))**2*3*-5*-2*-1.\nAnswer: -102\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**7\/126 + 2*b**6\/45 - b**5\/15 - 20*b. Solve c(m) = 0 for m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 16*t**3 - 345 + t**4 + 347 + (-3*t + 5*t - 4*t)*(-4*t**3 + t**3 - 2 + t**3).\nAnswer: 8*t**4 - 16*t**3 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 2 l when four letters picked without replacement from {t: 5, k: 8, l: 2, c: 2}?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235 + -229 + (5 - 2)*(1 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 - -274. Suppose 5*u - x = -1. Suppose h = -h + u. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**43*((q*q\/(q*q*q**10*q))\/q)\/(q*q\/q**(9\/4)))**(-1\/3) assuming q is positive.\nAnswer: q**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 4)*((0*n**2 + 5*n**2 - 3*n**2)*(-3*n + 7*n - n) + (n**2 + 2*n**2 + 2*n**2)*(3*n - 2*n + n)) as q*n + u*n**3 + o*n**2 + c and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = n - 1, n + 3*n - 4 = s. Let o be s*((-1 - -2) + -2). Let m(r) = r + 5. Let b(y) = -2*y - 4. Let k(f) = -2*b(f) - 3*m(f). Give k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7311869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -13. Let z be (i + -1)\/(8\/4). Let o(k) = -18*k + 1. Let m(f) = f. Let t(q) = -6*m(q) - o(q). Calculate t(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2691, -2699, -2731, -2799, -2915, -3091, -3339, -3671?\n\"Answer: -2*a**3 + 6*a - 2695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j*n**3 - 4*j*n + 39*j - 7*n**3 + 4 wrt n?\nAnswer: 6*j*n**2 - 4*j - 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = n - 3 - 3, 24 = 4*n + 3*b. Let g = 377 + -272. Calculate the remainder when 1353\/121 - (-3 - g\/(-33)) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/5 - 23*j**4\/24 + 12*j**3 + 170*j**2. What are the prime factors of a(4)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, -233, -532, -953, -1496?\n\"Answer: -61*l**2 + 6*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3\/5, 1\/5, 5, 0.05, 1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 23*f**2 + 22*f + 22. Let i be j(-20). What is the greatest common factor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3 and 25\/101.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 1}. Give prob of sequence ff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 1\/7, 14, -1792?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 386 + 376 - 752 = -4*u, -3*r + 2 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 48. Let r be x(24). Suppose r = -30*i + 35*i. Let u be -3 + (-20)\/(-5 + i). Is 0.014 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*3 + sqrt(130))\/sqrt(10) - (2 + sqrt(52)\/sqrt(4)))**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 11*q + 5. Calculate u(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4689927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 10 + 2. Calculate the lowest common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 1, r: 1, i: 5, x: 1, z: 6}. What is prob of picking 1 c, 1 z, 1 s, and 1 r?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 48090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16056 (base 8) to base 14.\nAnswer: -28b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvhvnlhvnnvnvzzvhvv. Give prob of sequence vh.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 22*b**3 + 1288*b**2 - 1288*b**2.\nAnswer: 22*b**3 - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v - 6 = 2*o - 112*v, -2 = v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 895*g**3 + 2041*g**3 - 5494*g**3 - 1398 + 1224*g**3 with respect to g.\nAnswer: -4002*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**2 + 3*f. Let v(h) = -22*h**2 + 5*h. Let u(q) = 10*m(q) - 6*v(q). Let x(l) = 2*l**2. Give u(x(r)).\nAnswer: 88*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58220876 + -1762.\nAnswer: 58219114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*l + 1275 + 621 = 25*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053766752 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 h when four letters picked without replacement from {y: 1, b: 1, t: 3, h: 7}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 17 - 13 - 224*q**2 + 24.\nAnswer: -224*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 15 = 5*y. Suppose -11 = -y*t + 9. Suppose -4*h + t = -4. Solve 5*n - 29 = -2*p, -5*n = -4*p + h*p - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 3 + 10*k - 2*k + k**2. Does 13 divide u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 39080 - 393040. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -55) + 1 + -16 + -4 - 6?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*h**2 + 83*h + 532970 wrt h.\nAnswer: 112*h + 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5969971?\nAnswer: 7, 19, 44887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34560 and 69400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2032 - 1244. Suppose -593 = 5*k - 8*k - 2*j, -4*j = 4*k - c. Calculate the least common multiple of 10 and k.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110101011000 (base 2) to base 16.\nAnswer: 3d58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -11. Let m = -0.014 - -0.014. Which is the closest to m? (a) q (b) -1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/8)*c)\/(c\/c**(-1)))**13 assuming c is positive.\nAnswer: c**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (2*sqrt(1100))**2)*4*1 - -3*5*(sqrt(88) + (sqrt(88) - 2*sqrt(88)))\/sqrt(8).\nAnswer: -17600 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 + 3*y**2 + 2*y - 4. Let a = 6 - 3. Let d be f(a). Suppose 14*l = 93 + 47. What is the highest common divisor of l and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 14 + 6*y + 0*y**2 + 0*y**3 + 0*y**4 + 2\/5*y**5. Differentiate p(f) with respect to f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 52 = -5*w - 2*d, 4*w - 2*d - 46 = 0. Suppose 4*r = w*r - 2058. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c9a7 (base 14) in base 2?\nAnswer: 10001111000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10758, 10496, 10236, 9978, 9722, 9468?\nAnswer: 9216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16888 divided by -8\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6060, -0.5, 72?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 33*d - 1. Let i be v(-4). Let s = -44 - i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 322881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 7*s**2 + 5*s + 6. Let y(g) = -2*g**3 - 8*g**2 + 6*g + 7. Calculate -6*c(a) + 5*y(a).\nAnswer: 2*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 40 = -10*z. Suppose -z*p = 3*i - 92, -4*i = 4*p + p - 116. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6776\/1188*(-6)\/(-11))\/(8 + 0).\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 2*n**3 - n**3 + 857*n - 857*n + 424*n**3 + (3 - 5 + 3)*(-2*n**3 - 4*n**2 + 4*n**2) - 2*n**3 - n + n.\nAnswer: 421*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwgi when four letters picked without replacement from {w: 1, i: 8, q: 3, r: 3, g: 3}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + -2000?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-11)*z*(z\/z**(-4))\/z*(z**(-2\/11)\/z)**(-5\/8) assuming z is positive.\nAnswer: z**(1561\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = 8. Determine j so that -18*j**2 - 3*j + 0*j**3 - 7*j**3 - 3 - 9*j - 5*j**3 - 3*j**t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 11802.696371.\nAnswer: 11797.696371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*y + 202*y = -4225 + 1003 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15 + 124)*2\/2 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 113933858 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 19 + 3*c**2 - 27 - c**3. What is o(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-220)\/176)\/((-30)\/(-48))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**2 + 8*g. Let m(p) = 7*p**2 - 7*p. Let a(d) = -6*m(d) - 5*x(d). Solve a(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3864 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/30, -0.1, 2?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 809329\/48 - 16863. Calculate the common denominator of o and 125\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -9*b - 3. Put b, -8, -2 in decreasing order.\nAnswer: -2, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 548 - 267. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -9, -1, -1711, -4, 5.\nAnswer: -1711, -12, -9, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u + 2*y - 10, -5*u = 3*y - 10. Let r(v) = -10*v**3 - 7*v**2 - 3. Let i(q) = 3*q**3 + 2*q**2 + 1. Determine u*r(n) + 7*i(n).\nAnswer: n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 0 - (-4 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6011864 to the nearest integer?\nAnswer: 2452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 - 7 - (5 - 1))\/(-1). Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -17 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from opnioppnpiiipnppnnp.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/(58\/(-522)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5a8564 (base 11) to base 15\nAnswer: -1404e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -36. Suppose -3*l - 112 = -11*l. List the prime factors of l\/(-4)*100\/v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6938707*l**4*q**2 + 8*l**4 - 86634*l**2*q**2 + 3*l**2*q + 12*l**2 + l*q**2 wrt l?\nAnswer: -166528968*l*q**2 + 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/12 - 5*b**3\/6 - b**2 + 10678*b. Let a(p) = 3*p - 6. Let d be a(4). Determine j(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26689917*t**3 + 2*t**2 + 3787671*t.\nAnswer: -160139502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 29*i**2 + 29*i + 26. Calculate u(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6493387?\nAnswer: 43, 151009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = -242819 - 223213. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*(8976\/(-286))\/24\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/259, -2\/63, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.81606 rounded to zero decimal places?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide -2*3\/(-2)*112\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/7)\/(2 - 1449\/735). Which is greater: -204\/7 or d?\nAnswer: -204\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380511 and 1836?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 195, 19484?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 11*w - 2*w. Let x(t) = t**3 + 8*t**2 - t - 8. Let a be x(w). Let g be (1 - a)\/((-2)\/8). Sort 0, 7, g in increasing order.\nAnswer: g, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 - 14*b + 736. What are the prime factors of f(-57)?\nAnswer: 11, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.6*-45.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12753006\/39 - (-34)\/(-221). Round v to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 238.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*p = -0*p - 28, 321*k + 2*p - 186 - 275 = 165 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*t + 22 = o, 4*o - 24 = 3*t. Which is the closest to -2? (a) o (b) -8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*f**2 + 154*f**2 - 28*f**3 - 79*f**2.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b = 36*b - 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3459320.99 + -930\nAnswer: -3460250.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 59. Let n be (-40 + 76)\/(-2 + 4). Determine a(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-22))\/(77\/44).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4477, -18057, -40749, -72553?\nAnswer: -113469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -856, -5, 2, -4 in increasing order.\nAnswer: -856, -9, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:09 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (3\/(-3) - 20). Let m = u - 19. Find the third derivative of -p**5 + 3*p**6 + p**5 - 3*p**m - 4*p**2 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 6.7. Let f = o + -2.1. Let t = -18 + 13. What is the biggest value in f, 0.8, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 31 = 83. Let y(j) = -j**3 - 2*j**2 - j + 1. Let l be y(-2). What is the units digit of l*2\/(s\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -11. Let l be 13\/((-39)\/(-90)) - b. Suppose 2*h - l - 56 = 0. Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(2\/71)\/(((g*g**(-2\/21))\/g)\/(g\/((g**(-2\/11)*g)\/g))))\/(g**5*g\/g**5*g**(2\/5)*g\/(g\/(g*g**(-2\/29)))) assuming g is positive.\nAnswer: g**(-2573503\/2378145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 560 = -52*b - 4*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 - (37 + -50 + -23).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3388, -3243, -3136, -3073, -3060, -3103, -3208, -3381?\n\"Answer: -f**3 - 13*f**2 + 191*f - 3565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4559, 4371, 4061, 3629, 3075?\n\"Answer: -61*q**2 - 5*q + 4625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25393 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2*q + 3*q)*(-2*q**3 - 2*q**2 + 2*q**2) - 17*q**3 - 2*q**4 + 4*q**4 + 20*q**3.\nAnswer: 8*q**4 + 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**5\/120 - x**4\/12 - x**3\/3 - x**2. Let k(u) be the first derivative of l(u). Find the first derivative of k(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -301*g - 140*g - 37480 + 2200 for g.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-54)\/12) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18252 + -6005. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52169 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92426 divided by 74?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 159 = 177 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2 - 4866*h - 9736 = 0.\nAnswer: -2, 4868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1, 6, 0, 41349?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.699999608 + -36.7. What is o rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70504 and 32.\nAnswer: 282016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611657860 and 15180?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282590314?\nAnswer: 2, 3, 2377, 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -10, -2 in ascending order.\nAnswer: -10, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283035, -566102, -849169, -1132236, -1415303, -1698370?\nAnswer: -1981437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(-2)))\/(w\/w**(2\/7)))**35)**(-25) assuming w is positive.\nAnswer: w**2375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460453 is divided by 140.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141600113?\nAnswer: 141600113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/115, -4, -9, -30?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*v + 3*v - 51 = 0, 5*m - 65 = 4*v. Suppose -31*w = m*w - 222760. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**6\/180 - l**4\/24 + 2*l**3\/3 + 4*l. Let k(p) be the second derivative of c(p). Find the first derivative of k(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*s**4 + 2162*s**2 - 1797039*s.\nAnswer: 492*s**2 + 4324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -3*a + 65. Suppose -3*h - 738 = -3*o, -a*h = 3*o - 0*h - 773. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -4 + 22*191. Suppose 2*f + 4*y = 44384, -h - 84588 = -4*f - 4*y. Round f to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24710951 - 15580951. Suppose -34*h + 44*h + t = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4776888 and 32.\nAnswer: 19107552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 times -0.7927\nAnswer: 5.23182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*z + 159 + 169, -4*h + 236 = 5*z. Suppose -2*x - 4*d - 64 = 0, 3*x + 3*d + h + 26 = 0. What are the prime factors of (x\/42)\/((-2)\/387)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 15 - 1. Let c(t) = -2*t + 6*t - u*t - 3 + t. Determine c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + l**3 - 2*l**3)*(-4*l + 990 + l - 1001).\nAnswer: 6*l**4 + 22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*(sqrt(600) - (-1*sqrt(600) + sqrt(600)))*4)\/((4*(sqrt(20) - sqrt(20)*2) - sqrt(20))\/(sqrt(10)*-1*-2)))**2.\nAnswer: 512*sqrt(3) + 12304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - b**2 - b. Let r be u(2). Suppose -5*f + 3*o + 113 = 0, r*f - 5*f + 71 = -5*o. What is the remainder when 65 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -27. Is 3*2\/((-6)\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 2 - (14 + (3 - 10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19805, -18588, -17371, -16154, -14937?\nAnswer: -13720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {g: 5, d: 1, o: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(270\/(-10))*-2*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.09, 2\/3, 2\/7, -5\/13, 187?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 398813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/(22*(-1)\/6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 0*l = -f - 1, -f = -2*l + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18444.06422 + 18444. What is w rounded to 3 decimal places?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*k - 63384 = 157*k. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -10 - 0. Let f = z - -11. Let s(g) = 7*g**2 - g - 3. Let b(k) = 13*k**2 - 2*k - 5. Let x(u) = 4*b(u) - 7*s(u). Determine x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + 45*u - 39. What is the lowest common multiple of n(-13) and 533?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 + 25*x + 7. Calculate r(-8).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 8:24 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from tztmmmmtgztg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let w(k) = -279*k**2. Determine l(w(f)).\nAnswer: 558*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 1 h when three letters picked without replacement from {j: 3, x: 3, y: 3, i: 6, h: 1}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q**4 - q**2 + 2*q + 4337009*q**3 - 19 - 3*q - 4337008*q**3 to w + x*q**2 + z*q + s*q**3 + u*q**4 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(7) + -2 + -5)**2 + (2 + 0 + sqrt(1008) + sqrt(1008) + sqrt(1008) - sqrt(1008))*-2.\nAnswer: -88*sqrt(7) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*h + 4, -z - 5*h - 29 + 43 = 0. Solve -x + 4*k + 2 = 0, -4*k = -z*x - x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 2, d: 4}. Give prob of picking 1 u and 3 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 10304 and -276314.\nAnswer: -266010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*1 - (34 - 13152\/390)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/16 and (598\/18291)\/(5\/(140\/48)).\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 1749?\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/18250?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 4*m**2 - 6*m - 5. Let v be z(-5). Let q = -5836\/11 - -530. Let j = q + 7\/33. Is j > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.936 in 4, -4\/9, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 8\/52*-13 - (-10256 + 3 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -20. Suppose -3 = 3*k - 3*m, 3*m = -k + m + i. Solve k = -2*l - 2, 3*a = 2*l - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1049994 - 141.56.\nAnswer: 1049852.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17952?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20177250 is divided by 17576.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1180\/1416*(42\/90)\/7\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8826 + -3954. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*150\/(-45). Let w = 53\/2 - 27. Suppose 0*q = 5*q. Which is the third smallest value? (a) w (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-2) + (0 - -2). Let d be (-2)\/(-4) + n\/(-12). Calculate the common denominator of -58\/9 and (d - 2 - 49) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.4 and 18896.2?\nAnswer: -291001.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5600416 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 30\/83 (c) -1498\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380 or 14088\/37?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597 a factor of 6694020580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/5*(-440)\/924. Sort -1, -2\/3, c in increasing order.\nAnswer: -1, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1453 + 493 = -44*z + 12*z for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/29868 and -61\/52662.\nAnswer: 2001156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6344 + -5539. Calculate the highest common factor of 690 and w.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*b + 19348 = 21672 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 71 - 127 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17318 - -17316. Put -3, -227, m in decreasing order.\nAnswer: m, -3, -227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -3750.\nAnswer: -75000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 2. Let l be n(5). Let c = 1 - l. Suppose c*m - 4 = -0. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfffx. Give prob of sequence ff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 207 = 3*f, 4*f - 193 = -z + 98. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1106 + -7?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216601849\/3 or 72200617?\nAnswer: 216601849\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 459340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*(-2 + sqrt(475)) + sqrt(475) + sqrt(475) + sqrt(475) + -2*sqrt(475) + -2 - (-3 + -2*sqrt(475)*-1 + -2)))**2.\nAnswer: -16200*sqrt(19) + 430416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 107 = -a, 155 - 10 = 4*u + a. Suppose 2*z + u = -2*z. Let g be 55\/15 + (-3)\/z. Solve 5*b - b = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.54706 to 1 dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.75 + -0.35. What is the second biggest value in 0.7, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtxgxttyxtrtxrxxxtxt. Give prob of picking 2 x and 2 r.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3720625*v**2 + 30*v + 120. Let h be m(-4). What is h rounded to the nearest 1000000?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - -0.09. What is the biggest value in 0.4, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39786?\nAnswer: 2, 3, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 19*q**2 - q + 73. Let f be j(-17). Calculate the highest common factor of f and 792.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 29246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6\/60 - k**4\/12 - 7*k**2\/2 + 4. Let j(s) be the second derivative of a(s). Factor j(x).\nAnswer: 2*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81700 divided by -3.\nAnswer: 81700\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1. Let n(t) = 2 + 23*t + 2 - 3 - 22*t. Let b be (-14)\/(-6) - 1\/3. Suppose 25 = 4*x + x, -b*p = -3*x + 17. What is p*n(s) - k(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 103. Suppose -h - 31 = 3*h + p, b = p - 1. Let g(t) = t - 6. Determine g(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*w + 8 + 15 = 0, 0 = h + 4*w + 18. Suppose 2*v - 7*s - 38 = -h*s, -v + s = -25. What is the remainder when v is divided by 10*(-36)\/6*2\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (11 + -15)) + 10 + -2 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, f: 3, l: 3, y: 2, v: 7}. What is prob of picking 1 v and 1 f?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 27*i - 987. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 110. Let g = 86.48977 - -1.51713. Let c = n + g. What is c rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 6 = -34. Suppose -5*n + 65 = 5*m, -x*m + n + 60 = 18. Find the third derivative of 3 - 3 - 605*j**2 + m*j**6 + 580*j**2 wrt j.\nAnswer: 1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*p - 7*p - 192 + 16*p)*(-14 - 13 + 4) as t + o*p and give t.\nAnswer: 4416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + d)*(-4*d**4 + 3*d**4 - d**4) + 2 - 2 - 2*d**5 + 156*d**5 - 299*d**5 + 204*d**5 + 4*d**5 - 4*d**5 + d**5.\nAnswer: 58*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsbbbbsb. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 213?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38\/5, 20, -123 in descending order.\nAnswer: 20, -38\/5, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1787, -3607, -5427, -7247, -9067?\n\"Answer: -1820*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let o be 0*(y + (-7)\/3). Suppose 0 = -4*m - 16, o*c + m = 2*c - 450. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5bc3 - -7?\nAnswer: 5bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.11, 2\/9, 0?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 8:13 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, n: 2, s: 3}. Give prob of sequence ne.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38414 - 47101 = -3447*j + 48918 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 17*j**3\/3 + 7. Let q be s(-1). Let r = 18 + q. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765894.\nAnswer: 2, 3, 127649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let f(z) = -183*z**2 + z. Give f(o(h)).\nAnswer: -732*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*p + 24, -21*p + 25*p + 5*v + 1 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8644726 to the power of 1\/2, to the nearest integer?\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 14*t**2 - 2*t - 8. Let r be y(14). Let m be 36*(-4 + r\/(-8)). Is (-2)\/(m\/(-601)) - (-2)\/9 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -3\/20, -3, 172 in decreasing order.\nAnswer: 172, 1, -3\/20, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 79*h**8\/336 - 7*h**5\/60 - h**4\/4 - h**2 + 20*h. Find the third derivative of s(z) wrt z.\nAnswer: 4740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -186, -185, -184?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6149, -6148, -6141, -6128, -6109, -6084?\n\"Answer: 3*y**2 - 8*y - 6144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2\/7 (c) -1\/7 (d) -7871 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/((-10)\/(-32560)). Let q = x - -14666\/9. Find the common denominator of q and 44\/87.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21573 and 0.0209.\nAnswer: -21572.9791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 191573992, 191573990, 191573988, 191573986, 191573984?\n\"Answer: -2*o + 191573994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4247 divided by 137?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/360 - g**5\/40 + 13*g**4\/6 + 38*g**2 + 2. Let r(d) be the second derivative of s(d). Determine r(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*s - 6. Let l be (7\/4)\/(2\/s). Let q(m) = -m**3 - 7*m**2 - 5*m - 9. Is q(l) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -745.72 to the nearest integer.\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 + 25864*i - 167236624 = 0.\nAnswer: 12932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.70412343 rounded to two decimal places?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*n - 11292, h - 1287 = 3*n - 8052. Is 94 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 11*r - 15. Let f be o(10). Let s(b) = 16*b**2 - 3 - 2 - 15*b**2 + 3*b + 1. Give s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-12)\/(-9))\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 762 and 462.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*b**2*p**5 - 84*b**2*p**2 - 49*b**2*p + 4*b**2 - p wrt p.\nAnswer: -340*b**2*p**3 - 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:43 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 11*c + 13. Let k be a(-11). What is the greatest common factor of k and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -49\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 48. Determine b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from jjjmjmjjmjjjmj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -49, 17, 57, -1.\nAnswer: -49, -3, -1, 17, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11421 - 0.5.\nAnswer: -11421.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2986927948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -2 + (-37 - -102) + -3\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -35, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**3\/3 + 5*q**2\/2 + 2*q + 1. Suppose 2*f - f = 0. Suppose f = 2*z + 7 + 3. Give b(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -202*y**2 + 13*y - 10. Let c be t(1). Let p = c - -1412. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by -6\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -11 - (7 - 19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 + 10*f = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4612 = -4*d, -2*w - 3*d - 2*d = 3044. Let x = -764 - w. 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: Suppose -3*s + 1103 = c, 14*c - 15*c + 4*s = -1082. Let k = 1654 - c. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h**3 + 3*h**2 + 2*h**3 - 3*h**3 + 2*h**3 + 2*h.\nAnswer: h*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**3 - 3*k**2 + k + 1. Let n be c(1). Suppose -4*o + 225 = n*o. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.635478 rounded to one dp?\nAnswer: 62.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + 2.93. Let y be 363\/6 - 27\/6. Let u be 21\/y*2\/(-3) - 0. What is the third biggest value in 15, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2601 - -2614. Suppose -1 = -4*l + 3. Let y be (-27 + l)*(-44)\/8. Calculate the highest common divisor of y and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 3 - 1 + 1 - 4*b**3 to t + q*b**3 + i*b + y*b**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 9\/2, -0.4, -1\/5, 2\/139, -6\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-5) + 0)\/((-16)\/(-120)). What is the common denominator of -151\/36 and (4*(-1)\/(-4))\/t*95?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13264853\/22630 + -141\/2263. Let r = 96682 - 389085\/4. Let v = m + r. Find the common denominator of -15\/4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, z: 1, u: 1, l: 1}. Give prob of sequence ul.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - (-75)\/7. Suppose -3*j = 2*j - 10. Let o be 1\/((-2)\/8) + 9. Solve 0*s + 2*s - 2*w - 8 = 0, -o*w = -j*s + r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457194060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20910 + 64715 = 25*g. List the prime factors of g.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-18)*(-122)\/1037.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3792 - -26546\/7. Which is bigger: -40\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 47*k = 1019 - 2141 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -260395? (a) -9 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 217374 and -4277.\nAnswer: 213097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9936, -19872, -29808, -39744, -49680, -59616?\n\"Answer: -9936*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(700) + sqrt(700))**2.\nAnswer: -14000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-4)\/c)\/c)\/((c*c**0\/c)\/c*c))**(1\/61))**(-5) assuming c is positive.\nAnswer: c**(30\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -2*a + 28, -8*a + 1379*x + 22 = 1377*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 325239156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 10556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 51*i - 54*i + 20 + 110*i. Let y be q(-3). Suppose -11*f + y*f = 438. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102220302 (base 4) in base 7?\nAnswer: -2606554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 0*c**2 - 6*c**2 - c**3 - 2 - 7*c - 5. Let o(w) = w**2 + 7*w + 6. Let j be o(-4). What is n(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -20. Suppose 2*s + x = 4*s. Solve s*t = -t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15305160427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (373 + 19*s - 185 + 4*s**2 - 192)*(s + 3 - 3).\nAnswer: 4*s**3 + 19*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -2 - (-4 + -1). Let i = 2 - 0. Suppose m + i - 4 = 0. Solve 4*u + c = -m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 97*t**2 + 5*t + 4. Let s(a) = 48*a**2 + 3*a + 2. Determine -4*i(o) + 7*s(o).\nAnswer: -52*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 - (27 + -24 + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(3 - -9) - 908\/48. Suppose -3*t + 3*a + 15 + 27 = 0, 4*a + 74 = 5*t. Let x = y + t. What is the second biggest value in -5, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 8 - 7*(-2 + 1). Which is smaller: -10 or m?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = 1. Let z be (15 + -15)\/(x - -2). Suppose -2*m = m - h - 478, 4*m - h - 639 = z. List the prime factors of m.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1559*j = 1144*j - 3746*j + 561735 for j.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j + 17. Suppose 5*z - 12 = 3*z. Let i(a) = 3*a + 6. Determine z*c(o) - 17*i(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14.22? (a) -0.3 (b) 4 (c) 0.027 (d) -2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288209 is divided by 539?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1*3\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -648, -646, -644?\n\"Answer: 2*t - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2452.052 - -2444. What is o rounded to one dp?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (-4 + -30 + 7 + -5)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 926148 and 442056?\nAnswer: 301924248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1323103, 2646200, 3969295, 5292388, 6615479, 7938568, 9261655?\n\"Answer: -o**2 + 1323100*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26887\/57 < -472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025997 to 7 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*l - l. Let p be (8\/l)\/(-1*(-1)\/(-69)). Calculate the greatest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + -3*sqrt(64))*6)\/(sqrt(200)*-1 + sqrt(200) - sqrt(2)) + -2 + -2.\nAnswer: -4 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -510*g + 5958. Calculate s(12).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2514\/1134 + (-54)\/729. Let n(l) = l**2 + 5*l + 3. Let g be n(-3). Which is greater: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266217955 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120222202220201 + -11?\nAnswer: 1120222202220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4) + (5 + -13 + 0 - 38 - -20).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -169944 divided by 1644\nAnswer: -14162\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/593619 and 121\/456630?\nAnswer: 5936190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051960371 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:28 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -50, 0.9, 3\/5, -2\/21, 747, 0.3, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 47. Let t(a) = a**2 + 4*a + 2. Calculate t(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21088775 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79142*p**2 + 80393 with respect to p.\nAnswer: -158284*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 11*h**2 + 30*h - 33. Let x be u(-14). Let s = 249 + x. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 75, -6, -2 in decreasing order.\nAnswer: 75, -2, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 672748836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(((x*x\/((x*x**1\/x)\/x))\/x*x)\/x)*x)\/x)\/x*x)\/x)**(-3\/19))**(-1\/22) assuming x is positive.\nAnswer: x**(-3\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1898468*c**2*l**3 - 2*c**2*l*v**2 - 6*c*l**3 - 3*c*l**2*v + c*l*v + 59*c*v**2 - 9*l**3*v**2 + 9*l**3*v + 4*l*v wrt c?\nAnswer: -3796936*l**3 - 4*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*r**4\/5 - 279*r**3\/5 - 1086*r**2\/5 - 1044*r\/5 - 216\/5 = 0. Calculate r.\nAnswer: -6, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 12.27. What is n rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -5 (c) -6\/5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8*y**2 - 8*y - 7. Let a be j(9). Suppose 27 = 5*o - a*o. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 2*b + 45 = 0. Let j(g) be the second derivative of -1\/12*g**4 + 0 + 1\/10*g**b + 0*g**3 + 0*g**2 - g. What is the third derivative of j(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 186 = -10*r + 153. Solve 3*h - 4*m - 25 = 7, r*m = -25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1726164 divided by -863082.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 7\/3*z**3 + 5 - 1\/2*z**2 - 5*z - 1\/4*z**4. What is the units digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2467, 4980, 7531, 10126, 12771?\n\"Answer: g**3 + 13*g**2 + 2467*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b8 + -32c?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + (-32)\/(-12))\/(263\/264 + -1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 + 8351823*z\/2 - 16703643\/4.\nAnswer: -3*(z - 5567881)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/121, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*(a*a\/a**25)\/a)\/a))\/(a**8*a*a)*((a*a**(2\/21)*a)\/a)\/(a\/(a*a**18)*a) assuming a is positive.\nAnswer: a**(695\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 12.4. What is the second smallest value in z, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423534*-1653\nAnswer: 700101702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16129840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*r + 4*g**2 - 27*g + 6*r - 6 with respect to g.\nAnswer: -2*g*r + 8*g - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031563179 to 6 dps.\nAnswer: -0.003156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 7)*(3 - 3 + 2*g**2) + (0*g - 5*g - g)*(3 - 3 - 3*g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1024387 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259*z + 275*z - 193*z to g*z + r and give g.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 24 + 0*w**3 + 13*w + 5 - 10 in the form p + x*w + f*w**3 + c*w**2 and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67)\/(2 - 35\/17) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6227, -12451, -18673, -24893, -31111?\nAnswer: -37327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -94*o**5 + 3*o**4\/4 + 4*o**3\/3 + 5*o**2\/2 - 35*o + 8661. What is the third derivative of n(p) wrt p?\nAnswer: -11280*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 969.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -3. Calculate the remainder when 58 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*q - 103*q - 321*q + 671 - 10856 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545334887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*p + 1269, 433 = 4*o - p - 1265. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 900281, 900283, 900287, 900293, 900301, 900311?\n\"Answer: d**2 - d + 900281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 601 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22561794 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (73 - 73 + f)*(-4 - f - 4 + 7) + 16*f**2 + 2*f**2 + f + 0*f as y*f + j + z*f**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 20303610*t + 20303615.\nAnswer: -5*(t - 4060723)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-20)*h*(h*h*h**(1\/17)*h*h*h*h)\/h)**(2\/11) assuming h is positive.\nAnswer: h**(-474\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06886 + -8.\nAnswer: -8.06886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -756 - -359. Let l = d - -585. Suppose -88 = -4*n + l. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6641533229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/16 of a millennium in months?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + v + 7 - 32 = 0, 3*j - 32 = 4*v. Solve 3*r - j = -0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 240.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 147 = -5. Suppose q = -2*j + 5*g, 5*j - 2*g = g - 114. Let y = 44 + j. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(-39))**(-19)\/((((g**(-1\/2)*g)\/g*g)\/(g*g\/g**(-6)))\/(g**(-2\/3)\/g)**(11\/6)) assuming g is positive.\nAnswer: g**(-13058\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -76. Suppose 66*z - 62*z - m = 0. Round z to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 204 + (-8)\/24*15. Suppose -2*g = -o + 102, -2*o + g = -2*g - w. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16960, -46565, -76180, -105811, -135464, -165145?\n\"Answer: -i**3 + i**2 - 29601*i + 12641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 895156 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: What is 43 - 390573.85601766?\nAnswer: -390530.85601766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Suppose 0 = -4*t + 3*d + 23, -t + 2*d + 0 + 2 = u. Solve 4 = n - 5*z, 2*n + 2*z = 5*z + t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 7*a**2 + 10*a - 6. Determine t(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.008 - 17. Let i = t + 0.08. Round i to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14*w**2 - 13*w + 9. Let q(r) = 13*r**2 - 12*r + 8. Let j(u) = 4*q(u) - 3*y(u). What are the prime factors of j(3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18440 divided by -3\nAnswer: -18440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32336 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 2*d**3 + 8 - 4*d**3 - 4*d**2 - 9 + 4*d to t*d + y*d**3 + k*d**2 + b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 3*l - 2. Let d be u(-1). Suppose 0 = 3*g - d*t - 1166, -1558 = -4*g - 0*t + 5*t. Suppose 2*r + 2*r = g. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skwdwkwwwdkkkskkkxxd. Give prob of picking 1 d and 1 x.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(24*d**2 + 15*d**2 - 33*d**2)*(-2 + 1 - 1 + 2*d) in the form p*d**3 + n*d**2 + t*d + w and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5585 - -0.09\nAnswer: -5584.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)*1)\/sqrt(2))\/(sqrt(2)*-2*-6).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 8 = 3*k. Suppose 22 = k*h - 14. Solve 1 = 2*f + q, 0 = -f - 5*q + q + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27855 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 9) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 14*a**2 - 14*a + 18. Let i be h(13). Suppose -35 = -i*k + 15. Solve 5*y = -3*n + 16, -3*n + 3*y = -5*n + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.2 times 37?\nAnswer: 599.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1179.5 - -1180. Let n = 5.6 - 6. What is the nearest to k in 0, 4, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -28 - (91 + -82)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93980 - 93978. Let r(y) = -5*y. Let p be r(-1). Suppose 3*m + p*q = -m + 15, 3*q = -m + 9. Solve m = 5*c - 4*h + 9, 3*c - 3 = u*c - 4*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(((-64)\/3052)\/8). Suppose 15*z = 8*z + f. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*j - 892*j + 8408 = -188*j + 3393 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t = -24*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53132662 - 25?\nAnswer: -53133020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9007 (base 13) in base 10?\nAnswer: 19780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/20 - n**4\/12 + 4*n**2 + n. Let y be g(0). Calculate the remainder when 15 is divided by y + (-3 - -5) + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from yoyoqrtyrnooyq.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-16)*(-16)\/(-144)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 16 = 2*d, 3*x - 3*d + 5 = -4. Let t(b) = -b**3 - b**2 + b + 1. Let n be t(-1). Let c be (1 + (-2)\/4)*n. Put 4, x, c in descending order.\nAnswer: 4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6572228.85 less than -4973?\nAnswer: 6567255.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d. Suppose 38*q - 42*q = -7588. Let r(l) = 1897*l - q*l + l**2. What is k(r(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416019 and 12423?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15291.\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1348\/(-1011))\/(5\/((-150)\/(-4))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102331 (base 4) to base 6\nAnswer: -5341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(91) - sqrt(91)*-6) + sqrt(91))*2*2)\/(-1*(sqrt(700) + (sqrt(700) + (1*sqrt(700) - sqrt(700)))*3)))**2.\nAnswer: 832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/14 and 37\/32662.\nAnswer: 32662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minus 0.88?\nAnswer: 159.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {w: 1, i: 2, l: 11, u: 4, g: 1, b: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2852, 2538, 1672, -22, -2820, -6998, -12832?\nAnswer: -20598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwr when three letters picked without replacement from wxwrxrwwrwwoooxrow.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/4 + (-10)\/40. Solve 2 = -2*r + 4*z, -b*r - 1 = -5*r + 3*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.5. Let q = 1 + 1. Let j = -4\/21 + 29\/42. Sort q, r, j.\nAnswer: r, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v - 39. Let t be r(-8). Let y = -45 + t. Let l(j) be the third derivative of j**6\/120 + j**5\/20 - j**4\/6 + j**3\/3 + 5*j**2. Determine l(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -16341.5 (c) -0.1 (d) 0.3 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 23. Let h be (2\/4)\/(4\/16). Suppose 3*b - v = h. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 661.47857284 - -0.51428716. Let g = s + -662. What is g rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + -0.09. Let i = -0.16 + c. Let w = 0.1999974 + i. Round w to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, -124, 4 in descending order.\nAnswer: 4, 3, -15, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 194 = 194. Let p(b) = b**2 - b - 4. Give p(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10*(-5)\/(-3). Suppose -z = z. Let m = 2971\/9 - 330. Which is the closest to z? (a) -0.2 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**2 + 98*h + 136. Calculate f(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 22*b + 66*b - 19*b - 15*b.\nAnswer: 10*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/162993 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 91192*k**2 - 182396*k - 91200.\nAnswer: 4*(k - 22800)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 38 - 151)*(1 - 1 - 4)*(-2*q**3 + 2*q**4 - 3*q**3 - 2*q + 8*q**3) in the form u*q**4 + g + o*q**2 + h*q**3 + t*q and give u.\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -57*a**2 - 81*a - 7. Let w(v) = -19*v**2 - 27*v - 2. Let j(z) = 2*h(z) - 7*w(z). Let d = -1214 - -1206. Let m be j(d). Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 4*c. Let r be i(-5). Let l(x) = -x**3 - 5*x**2 - x - 1. Let z be l(r). Solve -2*t + 0*t + z = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {j: 7, e: 4, h: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -18.9, 2.3, 2 in increasing order.\nAnswer: -18.9, -1\/4, 2, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-210))\/(4\/30).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*a**3*p**3 - a**3*p**2*u**2 + 8*a**3*p - 19*a**2*p**2*u + 4*p**3*u + p**2*u**2 wrt a?\nAnswer: 210*p**3 - 6*p**2*u**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/12*h**4 + 0*h - 1\/12*h**5 + 0 - 1\/4*h**2 + 5\/12*h**3 = 0. What is h?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197351359.\nAnswer: 89, 181, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.99 + -0.947. Let m = y - 0.313. Let i = 0.03 - m. Which is the closest to -2? (a) 4\/5 (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/5 and 26\/131.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 134*u - 17 = -139*u, -5*o + 15 = -5*u. Suppose 3*j = -j + o*v - 12, -4*j = -5*v + 16. Which is smaller: -12\/161 or j?\nAnswer: -12\/161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20356 is divided by 677.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 5*c + 11*c + 3*c in the form g + m*c and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234780 and 3018428.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**23\/g**3)**(3\/32) assuming g is positive.\nAnswer: g**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (-6*(sqrt(17) + (sqrt(17) - sqrt(68)\/sqrt(4))) + sqrt(17))**2 - (sqrt(2057)*2 + sqrt(2057) + sqrt(2057) + sqrt(2057))**2.\nAnswer: -51000 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-45)*(-2)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 438, 909, 1380, 1851, 2322?\n\"Answer: 471*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -380, -831, -1268, -1685, -2076, -2435, -2756, -3033?\n\"Answer: v**3 + v**2 - 461*v + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 4*y**7\/15 + 3*y**5\/4 + 5*y**2 - 2*y. Find the third derivative of f(g) wrt g.\nAnswer: 1344*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 13*o**5 + 4 + 11*o**5 + (-2*o**5 + o**5 - o**5)*(-1 - 1 + 0).\nAnswer: 2*o**5 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let n(x) be the third derivative of -1\/30*x**5 - 22*x**2 + 0*x + 1\/12*x**4 + 0*x**3 + 0. What is a(n(f))?\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u + 143 - 44 = 50*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/3)\/(-20))\/((-12)\/20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8097 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21432, -42634, -63838, -85044, -106252?\n\"Answer: -z**2 - 21199*z - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3222)\/570 + (8 - 2). Let w = -1\/19 - k. Let i = -1.1 - -5.1. Which is the closest to -1\/5? (a) i (b) w (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 147 - 2*f**2 - 8*f**2 + 4*f**2.\nAnswer: -2*f**2 + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20907838?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274*l**4 + 2*l + 18.\nAnswer: 3288*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + (-2 + -33 - 40) + -8.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 5*x - 4 = 4*d, 40 = 5*x - 5*d. Solve -4*a + x = 4*p, -a + 0 = 5*p - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572633803.\nAnswer: 7, 283, 289063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30)\/(-2 - (-10)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 160 - 175 + 4664*z to l*z + g and give l.\nAnswer: 4664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*h**5 - 21*h**5 - 19*h**5 - 23*h + (2 - 2 - h**2)*(-2*h + 2*h - h**3) - 1 + 1 + h**5.\nAnswer: 3*h**5 - 23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 185?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (45\/39 - -3). Which is the fourth smallest value? (a) 3.5 (b) 0.4 (c) s (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 23*c - 456 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1 + 9*c**3 + c**3 + c**2 - c**3 - 2*c. Suppose -5*p = -0*k + 5*k - 145, p + 67 = 3*k. Calculate the remainder when y(2) is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -577 - -837. Let y = x + -255. Solve -y*z + 18 = -k - 0*z, 0 = 4*k + 3*z - 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245857 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 359 = i - 6*i, 5*v - 365 = 5*i. Let w = -69 - i. Suppose w*g - 4*r = 293, -6*g + 4*g + 196 = -2*r. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -456 + 1367\/3. Which is the nearest to -1\/4? (a) d (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, c: 1, n: 2}. Give prob of picking 3 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3\/5 - 399*a**2\/5 + 5535*a + 516375 = 0.\nAnswer: -51, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (46 - 54)*(0 + 27\/(-12)). Suppose -4*p = -4*i + 8, -g*p + 3*i = -23*p + 6. Factor 2\/7*s**2 + 0 - 2\/7*s**4 + 2\/7*s**3 - 2\/7*s**5 + p*s.\nAnswer: -2*s**2*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949*p + 0 + 0 = -784*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-6))\/(10 - 6440\/645). Is -215 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88557 + -19?\nAnswer: -88574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7424198 or 7424197?\nAnswer: 7424197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c1 - 1?\nAnswer: 4c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251280985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + s + 0*s + (168 - 18*s - 168)*(-1 - 2 - 3))*(-1 + 0 + 0)*(3*s - 4*s + 4*s) as f*s**2 + z*s + v and give f.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2508?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -131, 0.3 in decreasing order.\nAnswer: 6, 0.3, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 381 = 20*j. What are the prime factors of j?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 6. Let m be i(16). Let q = m + 15. Let c be (-1)\/(-1) + -1 + 0. Solve c = 6*z - q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23552 - 0?\nAnswer: 23552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.156, 7\/8, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + l**2 - 4*l**2)*(-1 + 3 - 6 + (4 - 1 - 5)*(1 - 3 - 1) + 3 + 3 + 9)*(l + 3*l - 5*l) as u*l**3 + g + i*l + j*l**2 and give u.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p - 27. Let l be (-6)\/(-3)*(-2 + -2). What is the least common multiple of 10 and v(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25 - -16)\/((-12)\/16). Solve s = x + 3, 2*x = 2*s + 3*s - r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/4 - 881*q**2\/4 - 188187*q\/4 + 2597517\/4 = 0 for q.\nAnswer: -447, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7310 + 7315. Solve 0 = 3*p - i + 12, -3*p - l*i = 7 - 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75447\/117 + (-4)\/(-26) is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54168 - -122?\nAnswer: -54046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4, 2*k - 10 = 5*y - 3*y. Let t(w) = w - 6. Let f be t(k). Suppose 4*h = 2*n + 12 - 4, 3*n + 3*h - 6 = 0. Solve g = -n*g + f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1787 - 2545. Let a = -434 - h. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -440843 by -10.\nAnswer: 440843\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 128621, 128618, 128615, 128612, 128609?\n\"Answer: -3*r + 128624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608 (base 14) in base 4?\nAnswer: 2332000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61.55042 + 2535.55342. Let g = h + -2467. Let c = -7 + g. What is c rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 26 + (-19 - -8) + 9.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -1, 0*c - 4*q - 56 = 2*c. Calculate the remainder when 35 is divided by (-30)\/4*c\/25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 729981*b - 38680566.\nAnswer: -3*(b + 53)*(b + 243274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0, 2\/13, 13\/10, 3.7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -23. Suppose -t + 14 - 2 = u. Suppose t + 123 = 3*o. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(88\/11))\/((108\/(-45))\/6).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from gggwggggngnndtgwgj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721415, -721411, -721407, -721403?\nAnswer: -721399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b\/(b*b**(-3\/4)))*(b\/(b*b**(-1\/16)\/b))\/b*b\/((b*b**(1\/19))\/b)*(b\/(b**2*b))\/b*b assuming b is positive.\nAnswer: b**(79\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1042\/12361 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5416, 42283, 142162, 336559, 656980, 1134931, 1801918?\nAnswer: 2689447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*u, -u - 100 + 112 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 - 79. Suppose 5*o - w = 65. Solve 0*b + 5*b = -o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 4.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 720 = 3*m, 252 = -30*h + 29*h + m. Which is bigger: -260 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 9:50 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0.2 (b) -89\/8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -20*t**2 - 54*t + 21. Let o(l) = 7*l**2 + 18*l - 7. Let w(c) = -17*o(c) - 6*r(c). Let u be w(-18). Which is smaller: -8 or u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 - 247*v**2\/3 - 166*v.\nAnswer: v*(v - 249)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-45)\/(-18))*10. Put 10, -3, p, 1 in decreasing order.\nAnswer: 10, 1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 j when three letters picked without replacement from wujrdwjd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602*a - 194 = 505*a. Suppose -4*u + 10 = -5*v, -3*u = -0*u + 4*v - 23. Suppose -u*d + 10 + 0 = 0. Solve 2*k = 5*z - 9, -a*z + d = -k - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7025139*0.4\nAnswer: -2810055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r + 23. Let w be o(4). Let h be (-10)\/(1 - (-2)\/w). Suppose -7*u + h*u - 9 = 0. Solve -5*d - u = 4*x, -d + 3*x - 15 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2325 and 1500?\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -18430*p - 552908. What is i(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13799\/114114 + 1\/3458. Is i at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 20*n - 24 + 5 + 18*n + 5. Is z(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -7*a + 10*a - 17, 0 = -4*a - 4*b - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -34. Solve 2 = -d*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*f - 53451455 = 3257945. Round f to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 92 - 74 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 6\/4)\/(3 + -2). Sort 1, 0.2, u, -29 in ascending order.\nAnswer: -29, 0.2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44\/3, 1, -0.043?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276951250 is divided by 92317082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 9 = u, 6*u - 3*u = 5*k + 29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niz when three letters picked without replacement from zinlizpnlpzpn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*k + 5*k**2 - 123*k**3 + 124*k**3 - k**2 in the form d*k**3 + v*k**2 + f + g*k and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let k(d) = -56*d + 162. Determine k(j(t)).\nAnswer: -56*t + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z**2 - 7*z + 1. Let n be s(1). Let v(x) = 7*x - x**2 + 1 + 3 + 1. Calculate v(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.6 - 10.6. Is 6 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28, 75, 136, 211, 300, 403?\n\"Answer: 7*t**2 + 26*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 71*u - 2*u)*(-16*u - 19*u + 5*u + 6*u) in the form b*u + x*u**2 + z and give x.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {d: 5, r: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -8\/39*s**3 + 4\/13*s**2 + 0 - 7\/78*s**4 + 13*s + 1\/26*s**5. Let d(g) = 0. What is g?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-8) + 36 - 4\/(-1). Suppose 40 = 2*x + j. Suppose x*v = 2*i - 99, -i + 59 = v + 22. What is the greatest common divisor of i and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -931 + 934. Solve v + v = -4*n + 8, i*v = 5*n + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/((-28730)\/(-136)) + -6*55\/(-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 19\/4, -5, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2538 (base 11) to base 16\nAnswer: cec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*d - 140 wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -4*m**3\/3 + 2. Let n(q) = 12*q. Calculate p(n(h)).\nAnswer: -576*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 - 26*j**2 - 242*j + 1800. Calculate i(8).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = -5*h - 6, 2*a + 5*h + 6 = 0. Is 3 a factor of (-3)\/a*(2632\/(-21))\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.11 + 0.09. Let m = -2.4 + z. Let r = m - 0.8. Put -0.1, r, 1 in descending order.\nAnswer: 1, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w + 7. Let y(m) = -m + 1. Suppose -4*k + x = -0*k - 9, 0 = k + 5*x + 24. What is k*q(c) - 5*y(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 686634.7 centuries?\nAnswer: 68663470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -5\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 160795 and 0.06?\nAnswer: 160794.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 874 - 1846146?\nAnswer: -1845162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.2 - -16. Round u to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from ddevzddzkdkdkkk?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2123080 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:49 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvk. What is prob of sequence vk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14362 - -14362. Which is smaller: 7463 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-8)\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 6)*(4270*a + 46637719 - 46637719) + 2*a - 5*a + 2*a + (1 + 3 - 2)*(4 - 4 - 2*a) in the form m + u*a and give u.\nAnswer: -8545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 11*r - 40 = -6*r, 0 = 6*x - r + 34 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c - 134*c**2 - 73*c**2 + 10*c**3 - 141*c**2 + 3 + 349*c**2 to the form u*c + w*c**3 + o + b*c**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29732 or -148657\/5?\nAnswer: -148657\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 4*u + 6. Let g(n) = n**3 - 2*n**2 + 9*n - 14. Let p be g(3). Let l(m) = m**3 - 21*m**2 - 22*m - 4. Let a be l(p). Calculate b(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2053 (b) 0.3 (c) -2.6 (d) -1\/4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17731434 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Does -95 = -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 + 6*m - 4. Let p be c(-7). Let t = -242 + 265. Let u be 2\/t + (-640)\/(-46). Solve 3 = p*r + k, -u = -3*k - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppnnpppnppppp. What is prob of sequence pppp?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16008996.6us?\nAnswer: 0.0001852893125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 705051612*i**3 - 54490261*i?\nAnswer: 4230309672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -408 - -400. Let f = 17 + d. What is the greatest common divisor of 162 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972491?\nAnswer: 13, 239, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254.187241 - 254.17. Round s to 4 dps.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 35, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -0.551 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -967*u**3 - 6*u**2 + 68*u + 12. Let c(h) = -h**3 - h**2 + 11*h + 2. Determine 6*c(t) - g(t).\nAnswer: 961*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/7)*g*g))**4*(g**(-2\/5))**(2\/55)*(g**(1\/2)*g\/(g*g*g\/(g*g**(-3)\/g*g)))**(-2) assuming g is positive.\nAnswer: g**(3547\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n = 28*n + 256 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g - 7. Let w be r(6). Suppose -210 = 2*i - w*i. List the prime factors of (64\/10)\/(28\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = u - 9, -20*p - 2*u - 12 = -26*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:49 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:55 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n - 87 = 5*v, 2*v + 5*n + 15 = 0. Let k = 11 - v. Let q = 88242 - 88222. Calculate the lowest common multiple of k and q.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/87, 42, -4, -10.81 in decreasing order.\nAnswer: 42, 2\/87, -4, -10.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 489 = 3*i, -406 = -4*f + 5*i - 0*i. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110110110 + 0?\nAnswer: 101110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5 - 3*y**4 + 11*y**3 + 27*y**2 - 10*y - 24 = 0?\nAnswer: -4, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.841 rounded to 2 decimal places?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**4\/12 + i**2. Suppose 0 = 4*a - 3 - 5. Let k(g) = -8*g + 8*g + a*g. Calculate w(k(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*r**3 + 11149976*r**2 + 11893360*r + 2973344 = 0. What is r?\nAnswer: -2\/3, -2\/5, 185834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9362, -19255, -29148, -39041, -48934, -58827?\nAnswer: -68720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a211 (base 14) in base 4?\nAnswer: 12303013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -72. Suppose -r + 3*t + 105 = -0*r, -o*r + 194 = -2*t. Round r to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/440 and 23\/330?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q. Let k(w) = 7*w**2 + 2*w + 85. Let n(a) = 2*a**2 - 15. Let b(o) = -k(o) - 5*n(o). Determine b(j(d)).\nAnswer: -153*d**2 - 6*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*v - v + 24, -3*u + 2*v + 24 = 0. Suppose 0 = -a + 3*k - u*k + 17758, -5*a + 88895 = 4*k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5 + 3*k - 3 - 8 - 3*k**2 + k**3. Let t be s(5). Let u(f) = 4*f - 60 - f**2 - 2*f + t. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) - (sqrt(125) + sqrt(125) + 2 + -1) - sqrt(125)*1*4 - (-6*sqrt(45)\/sqrt(9) - (sqrt(160)\/sqrt(8))\/sqrt(4)).\nAnswer: -18*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2169, -4333, -6493, -8649?\n\"Answer: 2*x**2 - 2170*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 7*h + 4. Let y be b(6). Let j be (45\/27)\/(y\/(-6)). Let x(m) = m - 9. Determine x(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06233 or -0.2?\nAnswer: 0.06233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 967 divided by -28038\nAnswer: -967\/28038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + 111?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let d(a) = -456*a**2 + 51. Let k = -49 - -55. Let u(v) = 152*v**2 - 18. Let m(g) = k*d(g) + 17*u(g). Give m(i(w)).\nAnswer: -608*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/19, -2\/13, -4\/7, 9\/60953 in ascending order.\nAnswer: -4\/7, -2\/13, 9\/60953, 2\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250337 is divided by 199.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.4 - -2.4. Let h = 10.86 + y. Let u = 0.13999961 + h. Round u to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(5 + sqrt(76)*-1*1)**2.\nAnswer: -200*sqrt(19) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*9\/30*-2. Let h be ((-3)\/(-6))\/(z\/(-18)). Suppose 0 = -4*l + 5*l + 5*b - 223, -h*b = -12. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 12, 8, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**4*p - 6*b**4 - 2*b**3 - 12*b*p + b - 2*p wrt b?\nAnswer: 36*b**2*p - 72*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a047 - 1152?\nAnswer: 8ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12954618?\nAnswer: 2, 3, 19, 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*q**2 + 169*q**2 - 10 - 338*q**2 + 2*q + 16*q to x*q + w + o*q**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2471246\/5 or -494248?\nAnswer: -2471246\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -14) + (-22 - -22) + -17?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21076 + 21088. Solve -a = a + z for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-152) + 9\/(-114)*356)\/((-2)\/(-4))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142 + 10233?\nAnswer: 10405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3*(45\/(-12))\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a + 17. Let h be x(1). Let v(f) = f - 54. Determine v(h).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3950 and 2150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mirm. What is prob of sequence mi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeqeeeziiqeeeez. Give prob of picking 1 i and 1 e.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 3.9626.\nAnswer: -0.39626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:38 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800 (base 14) in base 10?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1207 and 1394?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, v: 4}. What is prob of picking 1 v and 3 k?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 4) + -1 + 5. Let p be (3 - (1 - 2)) + d. Find the second derivative of -2*v + 5*v**5 - 2*v**p + 0*v**5 wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 9:47 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2165)\/(-225080)*222 + 0 + -2. Let x = 9\/68 - i. Is 1 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 + -234?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 10 - 0 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6512 is divided by 3246?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158 + -157.946. Let a = 2.4944 + -2.4404092. Let s = g - a. What is s rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 4494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -3)\/(-6) + 4\/(-14). Which is bigger: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = p + s - 3, p - 1 = -3*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11799146.\nAnswer: 2, 5899573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.34437408 rounded to three decimal places?\nAnswer: -8.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u**(-1\/4)*u)\/((u\/u**(-3\/5))\/u*u*u**(-2\/15)) assuming u is positive.\nAnswer: u**(-523\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*u - u + 29, 0 = -5*o - 5*u + 75. Let y = o + 11. What is the units digit of (-4)\/14 - y\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (90\/25)\/(((-27)\/(-2310))\/3). Does -0.1 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let n be 6*(11*(-4)\/(-16) - 3). Let z = 0.5 + 0. Sort z, n, t in decreasing order.\nAnswer: z, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5204350 to the nearest integer?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 1564*g\/3 + 19208780\/3.\nAnswer: -(g - 3670)*(g + 5234)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y**2 + 7*y - 2. Let k(t) = t**2 + t - 1. Let p(s) = 2*k(s) - x(s). What is the second derivative of p(c) wrt c?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 6 + -10 + -126 - (18 + -1)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*g - 9, 4*g = f + f + 12. Suppose 3*i - 2*s + g = 0, 4*i - 5*s + 4 = -0. What is the units digit of (3 - 4)\/(i + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30800783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(80) + -1 + sqrt(80)*-3 - sqrt(80) - (4 + 0 + sqrt(80)))*-6*5)**2*1.\nAnswer: 144000*sqrt(5) + 1174500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 0, -4\/5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2. Let y(s) = -s**2 - 4*s - 2. Let o(r) = -3*r**2 - 10*r - 5. Let u(l) = 6*o(l) - 15*y(l). What is h(u(a))?\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -948000 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.33 - -0.67. Let v = -0.1 - 6.7. Let l = u + v. Sort 1\/7, l, 0.4.\nAnswer: 1\/7, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/11 - 3\/11*i**2 + 3\/11*i + 1\/11*i**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y*(y*y*y**(-24)*y)\/y*(y**(-2\/25))**(-48))**(1\/8) assuming y is positive.\nAnswer: y**(-629\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -44 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18384732 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62793 + -2a?\nAnswer: -627c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, -2, 2, -31 in increasing order.\nAnswer: -31, -2, 0, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8473 = -2*t + 5*d, -4286 = -t + 40*d - 43*d. Calculate the remainder when t is divided by 387.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1882634 and 13\/927.\nAnswer: 16943706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hahgghahaa. What is prob of picking 4 h?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/7 and 222\/(-16) + 2 - -2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/42*-28)\/(2\/15). Let r = j + -28. Suppose 12 = y + u - 5*u, 3*y - u - 3 = 0. Solve r = 2*l - 3*b, -l - 4*l + 4*b + 7 = y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1792*s + 240 = -1796*s. What is s rounded to the nearest integer?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d = 626 + 1189. Calculate the remainder when d is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:11 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*v)*(0*v**3 + 4*v**3 - v**3) - 4*v**4 + 4*v**4 + 5*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 16 - 34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + 23. Calculate b(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120320 + 120320.00225532. What is y rounded to 5 decimal places?\nAnswer: 0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109839 and 20539?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 1, j: 6, y: 2, z: 1, c: 1}. What is prob of picking 3 j and 1 u?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801098, 801096, 801094, 801092, 801090, 801088?\nAnswer: 801086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**2\/2 - 4*j + 26. Calculate o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 50\/(-20))\/((-2)\/(-36)). What is the greatest common factor of 63 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/15)\/((-290)\/(-75) - 4) - -11. Solve 53*t + 5*x - n = 48*t, -5*t = -x + 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.37 - 0.27. Which is the closest to 1? (a) -5 (b) y (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - q**2 + 2*q - 2. Let w(d) = -2*d**3 - 2*d**2 + 3*d - 2. Give 3*u(i) - 2*w(i).\nAnswer: -2*i**3 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 2*q**2 + q - 4. Let m be i(2). Let x be 4\/10*(m + -3). Sort 4, x, -0.2 in ascending order.\nAnswer: x, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1104, -1103, -1102?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/57 and -21\/247.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 + 3*q**2 - 3*q**2)*(146*q + 145*q - 203*q) + (2 + 2*q**2 - 2)*(2*q + 0*q + 0*q) as z + n*q**2 + a*q**3 + x*q and give a.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 56, 92?\n\"Answer: 36*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.527 and -61850.\nAnswer: -1764394.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.676 + -10.676. Let v = -0.1 + -1.9. Let t = v - -1. What is the closest to -2\/9 in t, 3, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -613*n + 628*n + 974*n + 4730*n + 1269*n to o*n + a and give o.\nAnswer: 6988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hch when three letters picked without replacement from {h: 4, e: 1, c: 2, i: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + d**2 + 1. Let y(w) = -78*w**3 + w**2 - 2*w - 3. Let r(g) = s(g) + y(g). Is r(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65916 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.77 + -9.77. What is the third smallest value in -0.1, 2\/3, r, -119?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14002*i*u**3 + 2514*i*u**2 + 7*u**2 wrt u?\nAnswer: -84012*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -0.3, 1, 0.28, 4, -2\/15 in descending order.\nAnswer: 102, 4, 1, 0.28, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/11215 (b) 5160 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60859 is divided by 57.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, r: 12}. Give prob of picking 3 r and 1 j.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 12466, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b - 39. Let u be d(10). Suppose -i = -3*i + 8, 4*i = -q + u. Solve r = -4*r, -r = -3*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -19\/42913 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 191414000 rounded to the nearest 100000?\nAnswer: 191400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 8*i**3 - 3 - 7*i + 7*i**3 - 3*i**2. Let r(f) = f**2 - 60*f - 474. Let z be r(-7). What is w(z)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 4*o**2 - 4*o**2 + 12*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1151163451 - 4?\nAnswer: 1151163445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-2)\/(-3)) + 5. Calculate the remainder when 4 is divided by (-7)\/(-14) - (-3)\/i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*r + 10 = 0, 3*j + 5*r = j - 20. Let g(d) = -d - 11. Let u be g(-16). What are the prime factors of (u + 1)*j\/(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 + -0.28. Which is bigger: m or -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691084363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 2*f**3 - f**3 + 4*f**3 + 7 - 8*f**2 + 0*f. Let l be t(7). Find the common denominator of -42\/11 and 6\/l - 319\/(-42).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 16 = 2*y, 0 = -3*s + 4*s - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2022, 8158, 18408, 32772, 51250, 73842, 100548?\n\"Answer: 2057*n**2 - 35*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1698, -3198, -4624, -5940, -7110, -8098, -8868?\nAnswer: -9384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220358*l - 220386*l = 700 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 2*(-4)\/(-4). Which is the nearest to l? (a) -2\/11 (b) -0.5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102422 (base 6) to base 3.\nAnswer: 12011110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 96, 191, 286?\n\"Answer: 95*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(208))**2 + sqrt(13) + (sqrt(39) - sqrt(975))\/sqrt(3).\nAnswer: -3*sqrt(13) + 1042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-10)*5)\/3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60695 + 15*r + 4*r - 5*r - 5373.\nAnswer: 14*r + 55322","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-9)*1\/5. Let q(u) = -3*u**2 + u - 5. Let n(k) = -4 + k**2 - k + 6 - 1 + 0. Let t(o) = s*q(o) + 5*n(o). Factor t(g).\nAnswer: 2*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 - -77. Let m be (48\/p)\/(1\/(-572)). Suppose u + m = 7*u. List the prime factors of u.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 + (-13 - -4 - -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jww when three letters picked without replacement from toowwjf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -2*o**2 + 4*o - 6. Find the first derivative of r(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617809181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 11*t - 2. Let p(s) = 11*s**2 - 78*s - 18. Let i(g) = -p(g) + 7*u(g). Let j(r) = -3*r**2 - r - 5. What is -4*i(q) - 3*j(q)?\nAnswer: -3*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 - 3*p**2 - 3*p + 4. Let j = -4 + 1. Let f be 3*(-5)\/45*-9 + -2. Let u(v) = -1 - v**2 + 1 + v**3 - v + 1. What is f*x(q) + j*u(q)?\nAnswer: q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.07 (b) -0.4 (c) 0.028 (d) 5 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.045 + -10.044. Let w = m - 15. Let i = -0.0027 - w. Round i to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145453*f**3 - 46*f**2*q - 6*f**2 - 3143*f*q - 3867*f + q wrt f.\nAnswer: 872718*f - 92*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9768 and 146360456?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 11, -7, -196.5?\nAnswer: -196.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, 0.1, -2836483 in descending order.\nAnswer: 4, 0.1, -0.2, -2836483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-2\/33)*v))\/v**(-6)*(v\/((v**(-2\/5)\/v)\/v))\/v**6 assuming v is positive.\nAnswer: v**(736\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140*z**4 + z**3 - 369 wrt z.\nAnswer: -560*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 21 = -i, -10*a + 5*a + 23 = 3*i. Suppose 3*t - 169 = -f, -2*t = -3*f + a*f - 169. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**6\/120 - 3*y**5\/10 - 11*y**4\/12 - 15*y**3 + 9476*y**2. Determine z(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -16*t, -t = -5*u. Suppose 2*w - 116 = -4*m, u*w - 5*w = 10. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -929 at most as big as -943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4 and -91\/12802312?\nAnswer: 12802312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 + 154 + (-56 - -8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-27900)*-31)\/((-2)\/12)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003234885 to 6 decimal places.\nAnswer: 0.000323","meta":{"dup_signals":{},"source":"numbers__round_number_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: Calculate the remainder when 34208 is divided by 1147.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 730*x**2 - 24492*x - 23760 = 0.\nAnswer: -30, -1, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8567104?\nAnswer: 2, 7, 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1590e + 6a?\nAnswer: -158a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 21 = -3*k, -14 = 3*x - k - k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h**2 + h. Suppose 2*r + 14 = -4*v, -9 = -3*v + 2*v + 2*r. Determine q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/2057202 and -27\/26.\nAnswer: 26743626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 9:14 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/56*0 - 1 - ((5 - -111) + -1)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5344, -5392, -5440, -5488?\n\"Answer: -48*j - 5296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -100*2\/(-10)*258\/25413. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -15 + (-561 - -680)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -361 + 485. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 3*r. Let o be k(-4). Let l = 0 - o. What is the units digit of ((-14)\/4)\/((-2)\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 67278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243592 by -24.\nAnswer: 30449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 156699 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6839.941 millennia to years.\nAnswer: 6839941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 36 = -2*x - 4*h, -4*x - 5*h + 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/10)\/((-8)\/(-10)). Let r = 154\/1291 - 4276\/14201. What is the third smallest value in y, 2\/3, -4, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 69*t. Let d(v) = -15*v + 10. Give d(n(i)).\nAnswer: 30*i**2 + 1035*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2246 - 2.856.\nAnswer: 2243.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Suppose 5*p + u - 41 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 28 + 56 = 0. Solve 11*q - 9 = k*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 6. Let q(a) = -4*a + a + 1 + 2*a. Let x(h) = 8*q(h) + r(h). Let s be 77\/(-21) + (-4)\/(-6). Determine x(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k**3 + 36*k**2 - 16*k - 12 = 0. Calculate k.\nAnswer: -1, -1\/2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 10.5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*o - 116 = 0, 2*o + 3*o + 10 = 0. Suppose 0*x + 70 = 5*x. Suppose 0 = 5*h - d - x. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -176792217*u - 23020865 wrt u.\nAnswer: -176792217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 10*r - 3. Let i be q(8). Let l = -10 + i. What is the remainder when 10\/(-4)*(-9 - l) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-18)*99\/1650?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*f - 2*f. Suppose 297 = f*v - 3*l, v + 281 = 6*v + l. What is the remainder when v is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 14*y - 6*y.\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 15) to base 9\nAnswer: -588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1634598*k**4 - 1916683 wrt k.\nAnswer: 6538392*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Solve 0 = -4*c + 4*p - 56 + 16, -p + 30 = -s*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 16*w**2 - 106*w + 9. Calculate the remainder when l(-7) is divided by 108.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and (-6)\/8 + (-473)\/(-44)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 56*y - 53*y. Let v be 93\/4 + 4\/(-16). Suppose -y*d = -v*d - 4413. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 2\/517, 0.5?\nAnswer: 2\/517","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40674, 81653, 122632, 163611, 204590, 245569?\nAnswer: 286548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 24*o**2 - 6*o - 16. Let x be n(6). Suppose 6*i = x + 2806. Suppose 603 = 3*m + 3*q, -3*m + 5*q = q - i. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83394528*g**5 - 83444918*g wrt g.\nAnswer: 1667890560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325\/54 + -5\/27. Which is smaller: v or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11681 a factor of 189839612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10835470, -10835434, -10835398, -10835362?\nAnswer: -10835326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10733 * -1.\nAnswer: -10733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207\/119 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-7))\/(5\/35). Let l = f - -1. Suppose -5*m - y - l*y + 21 = 0, m - 9 = 4*y. Solve -b = -6*b + m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25746800 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*c - 9*c - 14*c + 225 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n - 257. Suppose 14*o = -230 - 148. Calculate the remainder when 259 is divided by x(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, 10896, -4 in descending order.\nAnswer: 10896, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*q - 1552 - 2 = -167*q. Suppose 7\/4*h**3 + 5*h + 0 - 1\/4*h**4 + 7*h**q = 0. What is h?\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -47, -88?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -356*f - 2106. Let g be m(-6). Solve 36*i = -g*i - 330 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 995498, 1991024, 2986550, 3982076, 4977602?\nAnswer: 5973128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*w - 12 + 10 - 23*w)*(w - 2 + 2)*(0*w**2 - 5*w**3 + 0*w**2).\nAnswer: 5*w**5 + 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 5*b + 2. Determine x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-2\/35)*(((j\/(j\/j**(-1\/11))*j)\/j*j*j)\/j)\/(j*j*(j**(-5)\/j*j)\/j) assuming j is positive.\nAnswer: j**(1824\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 278 - 150. Suppose -3*i = 5*c - 95, 5*i - 3*c - j = 53. What is the greatest common factor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uju when three letters picked without replacement from ujpuppjpppuppjjupup?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d + 405 = 5 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 233411319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34448 divided by 2.\nAnswer: 17224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9745, -9743, -9741, -9739, -9737?\n\"Answer: 2*d - 9747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -46 - 83) + 50?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3341349 or 3341348?\nAnswer: 3341348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177641 is divided by 2064?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5.5. Suppose -6 = -2*p + 2, 115 = -3*c - 5*p. Let q be (-165)\/c + 6\/(-2). What is the closest to q in -2, 1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + decd?\nAnswer: decc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 6*c**2 - 4*c + 22. Let g be o(-7). Solve 0 = -2*n - z - 14 - g, -2*n = -z + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + -4*(-3 + sqrt(363)) + sqrt(363)*-3*2 + sqrt(363) + sqrt(363) + -4 + -3))**2.\nAnswer: -352*sqrt(3) + 23236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16712772*c**4 - 875820*c?\nAnswer: 200553264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(1 + (-6)\/4). Let c = 17 - x. Solve c*u - 1 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122 - 116.98. Let i = -0.02 + o. Let s = 0 - i. Which is the second smallest value? (a) s (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6))**(-5) assuming a is positive.\nAnswer: a**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 22.7. Let t = v - 0.3. Let q = -12.1 + t. Is -1\/4 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 2185.21, -5, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8*(-97)\/((-3783)\/117).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**7\/1680 + a**6\/240 - a**5\/120 - a**3\/6 + 3*a**2. Let w(p) be the first derivative of h(p). Factor w(j).\nAnswer: -j*(j - 2)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 182 + 170. Suppose 2*m = 5*i + 10, 4*m + 0*i = -i + 20. Suppose 4*j + 0*z = z + f, -125 = -5*j + m*z. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88098719.\nAnswer: 88098719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzazftzzzsat. Give prob of sequence zs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 9*d**2 - 3*d + 10. Let z(o) = 2*o**2 + 7*o + 6. Let l be z(-4). Does 13 divide b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/32*6\/(-12).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(4 + 0 - 1)*(4*g + 1 - 1) + (6 - 2 - 3)*(-g + 0 + 0).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -65323, -130537, -195751, -260965?\n\"Answer: -65214*l - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 - 2*r + 10. What is y(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -16*r**2 - 47*r + 2. Determine z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3248 and 31\/52432.\nAnswer: 367024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 3:49 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*20\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75, -145, -215, -285?\n\"Answer: -70*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*4 - sqrt(19))*-2*2.\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146462546*u**5 - 41*u**2 + 81*u + 1187.\nAnswer: 8787752760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2) - sqrt(200)) + sqrt(19) + sqrt(931)*-1)**2*-6.\nAnswer: -114950\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223224868 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Let q = 8022\/17 - 472. Let i be (13\/(-6) - -2)*-2. Which is the biggest value? (a) y (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k + 17. Calculate m(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 715, 2638, 6407, 12646, 21979, 35030, 52423?\n\"Answer: 104*b**3 - 13*b**2 + 12*b - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 459881\/78 + -5897. What is the common denominator of -17 - (-4 + 1541\/(-117)) and p?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/5294 at most -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*v = -292*v - 5425 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -27*j**3 + 4*j**2 + 19*j. Let k(y) = -161*y**3 + 23*y**2 + 115*y. Let d(q) = -4*k(q) + 23*s(q). Find the second derivative of d(l) wrt l.\nAnswer: 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28147, 56309, 84479, 112657?\nAnswer: 140843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 499933 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/x**(-1))*x))**38*(x**2*x*x)**(-6))\/((x*x\/(x*x**1)*x)**50*x**(-6)*x*x**(-5\/6)) assuming x is positive.\nAnswer: x**(-181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12925, 25814, 38701, 51586, 64469, 77350, 90229?\n\"Answer: -x**2 + 12892*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 20) + 34 + -46.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25095*830.\nAnswer: 20828850","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69439788?\nAnswer: 2, 3, 11, 58451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 438200, 875816, 1313432, 1751048, 2188664?\n\"Answer: 437616*u + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/8)\/((-4)\/(-8)). Let f(i) = 86415*i**2 - 6*i - 6. Let h be f(y). Suppose 5*l + 7739661 = -h. Round l to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2459*z**2 + 614*z**2 - 3213*z**2 + 1310*z**2 - z.\nAnswer: -3748*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1639, -12\/7, -51.9 in descending order.\nAnswer: -12\/7, -51.9, -1639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180067 = -55*t + 10563. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10110010010110?\nAnswer: -10110010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 23619560 to the nearest 100000.\nAnswer: 23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -81*z - 9. Suppose -1626 = -3*h - 1629. Let k be m(h). What is the greatest common factor of k and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-26)\/(-8)) + 2. Suppose 9 = 13*a - 30. Let f be 30\/44 + (-1)\/2. Sort f, m, a.\nAnswer: m, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1\/((-2)\/(-6)))\/(-1 - 84140\/(-84110))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -145, -199, -271, -367, -493, -655?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -69, -237, -481?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 82 = 5*q - 3*u, -74 = -3*q - 5*u. Suppose -v - q = -4*v. What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/35197 = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21846 = -2*k, -97*k = -98*k - 3*c + 10928. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 4. Let z(v) = -3*v - 3. Let r = 2 + 2. Let p be ((-2)\/4)\/(2\/4). Let t be 4*p - (7 + -6). Give r*i(o) + t*z(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 4}. What is prob of picking 4 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, t: 3}. Give prob of sequence ttqt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/31, 2.7, -11, 27\/2?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c*f*q - 4*c*f - f*q**2 - 43*f + 23*q**2 wrt q.\nAnswer: 6*c*f - 2*f*q + 46*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyttuttutnyntu. Give prob of picking 1 n and 1 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16254 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.74 in 1\/8, 63, 1\/5, -7.7, 2\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 34. Let p be -1 - -8 - (-54)\/(-18). Suppose -k = g, -37 + 33 = 2*g + p*k. Solve g = -3*z + i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 16) + 34 - 32) + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 611826947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d5d67 (base 15) to base 11.\nAnswer: -423454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040*f + 1037*f + 144 = 5*g, f = g - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34983.9984231 - 34984. Round v to five decimal places.\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -14.6.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4215 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-5))\/((-2)\/6). Suppose f - 10 = -2*l + 5*i, 0 = -i + 1. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -7\/3*z**3 + 0*z**4 + 0*z**5 + 0*z**2 - 13 + 0*z - 7\/6*z**6. What is the third derivative of j(c) wrt c?\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = 4*f, 0 = -2*f + 6*g - 2*g + 16. Solve q + 2*l - 5 = 0, 2*q = f*l - l - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1164)\/2964 + (-8 - (-11 + 1))\/26?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8391 < -66248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-2 + 0 + 13)*((1 + 2 - 2)*(-3*w + 0*w + 5*w) + 2*w - 2*w - w).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-308)\/(-9) + (-10)\/45. What is the greatest common divisor of 51 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-6))\/2)\/(262\/(-393))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 3*u**2 - 7*u - 11. What is the remainder when j(-3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*y + 7. Let f = -10 - y. What is the remainder when 11 is divided by f*3\/((-9)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/60 - p**2 - 2. Let t(h) be the second derivative of j(h). Let v(r) = -8*r. What is t(v(a))?\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -0.059 (c) 0.5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8539523 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/(-4))\/((-10)\/(-76720))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073520 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggaggaagaggaggg. Give prob of sequence aa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 3*x + 18, 69538*n = 69535*n + 4*x + 2 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v - 7. Let j be w(5). Suppose 0 = -3*t + 9, 3*r - 4*t - 151 = 41. Let g = j + r. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:44 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 6*n**2 - 10*n + 27. Let a be i(5). Suppose -v = 3*u - a, 385 = 3*v + 2*v + 3*u. What is the remainder when v is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 291.75 in -0.5, 2\/21, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2126035015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003333 to 7 dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9*n)\/(n\/(n**(-3\/17)\/n)))\/(n\/n**(-7))**(-3\/8) assuming n is positive.\nAnswer: n**(184\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**3*o**2 + 70*j**2*o**2 + 35*o**2 - 8*o with respect to j.\nAnswer: 12*j**2*o**2 + 140*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 15 = 5*q + 4*l, 0 = -2*q + l + 10. Suppose -q = c, -3*o + c + 266 = -0*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*n - 5*o + 10, 0 = -3*o. Suppose 8 = x - n. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*k + 136*h - 141*h + 3459 = 0, 54 = -3*k + 7*k + 2*h for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l - 106982*l**3 + 106983*l**3 + 20*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-47124)*66)\/((-1)\/(-14)*2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*a - 13*a**4 - 62*a**3 - 3 + 5 + 60*a**3 as i + w*a**2 + s*a + o*a**4 + p*a**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -3*sqrt(153))*-1 + sqrt(153))\/(sqrt(9) + (sqrt(9) - 3*sqrt(1089))).\nAnswer: -3*sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 39. Suppose 18 = 5*z + 2*u, 4*z - 4*u - 13 = -7*u. What is the greatest common factor of z and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.113, 69, -10, -3, 0.3?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -7, 2, 41, -3 in decreasing order.\nAnswer: 41, 2, -3, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/9)\/(2\/(-24)). Suppose -x*o + 3 = 15. Let w = o + 17. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*c + 1206 = w - 96*c, w - 1174 = 4*c. What is the greatest common factor of 255 and w?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 0 + 7)*(22*q - 492 + 492 + (q + 0*q - 3*q)*(-4 + 0 + 2)).\nAnswer: 546*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-8)\/32 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9045 + 12344. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 = 19. What is the third derivative of f + 2*f**2 - m*f + 2*f**4 + 4*f wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -479.45 to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 2 + 7 = -3*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + 0.3. Let q = 1 - k. Let f = 7 - 5. Which is the third biggest value? (a) f (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11059*l - 8855 = -10898*l for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51114576 is divided by 935?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111026*g**3*y - 2*g**2*y**3 + 85068*g + 4*y**3 wrt g?\nAnswer: -666156*g*y - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -110194.\nAnswer: -1101940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5351.\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3158960 divided by -6?\nAnswer: -1579480\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 2*h**2 + 2*h + 4. Let w be k(-4). Let g be (84\/(-1))\/((66\/(-8))\/11). Calculate the highest common factor of g and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*x + 9, 3*s + s = -5*x + 12. Is -3 + s*(15 + 0) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-5) - (-15 + -92098) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0*g**2 - g + 1\/3*g**3 + 0. Let y(d) be the second derivative of -d**4\/4 + 34*d - 1. Determine y(n(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18347242*c**4 - 96408003 wrt c.\nAnswer: -73388968*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3453374 + -43554\nAnswer: 3409820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100111 - 1000?\nAnswer: -1011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*z - 4. Suppose -17 - z = -5*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -15. Let a(w) = -w**2 + 3. Let z(y) = 4*y**2 - 14. Let t = 2 - 2. Suppose t = -2*n + n + 3. Determine n*z(d) + x*a(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 p when four letters picked without replacement from pggpgggg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*n - 26. Suppose 0 = x + x - n. Solve v - 2*l - x = -0*l, -4*v + 16 = l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -46*u - 29. Suppose 0 = 4*m - 2*k - k + 23, k = -4*m - 19. Is v(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 - 1544*o**3 - 159156*o**2 - 1915056*o + 2075760 = 0. Calculate o.\nAnswer: -186, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 4, -2.\nAnswer: -2, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1943.12 + 1905. Let m = s - -38. What is the third smallest value in 1\/4, m, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvvx. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/(-8) - (-6)\/(-3). Let p = 19\/2 + j. Let n = -28 - -32. Which is the second biggest value? (a) n (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.989 + -0.011. Let v = 56.999979 + n. Round v to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64386 (base 10) to base 9\nAnswer: -107280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + 6*b - 3. Let n(g) = -g**3 + 7*g**2 + 12*g - 7. Determine -2*n(q) + 5*z(q).\nAnswer: 2*q**3 + q**2 + 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - m = 24, 0 = 4*t - 6*m + m + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1425) - sqrt(1425))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0 + 0)*(-1533*a**4 + 1 + 1519*a**4 - 2*a**2 + 3*a + 2*a) + (-8*a**2 + 8*a**2 + a**3)*(2*a**2 + 0*a**2 - a**2).\nAnswer: 15*a**5 + 2*a**3 - 5*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 4913*v - 289779. What is i(57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 8, k: 3}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2365860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwjl when four letters picked without replacement from {j: 1, w: 5, l: 2, a: 1}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2505731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421 - 54015?\nAnswer: -54440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 5, s: 1, m: 3}. What is prob of sequence mdm?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - -2 - (-1080)\/12 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14126621*k**5 + 12*k**2 - 354666 wrt k.\nAnswer: 847597260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 14*z**2 - 7. Let c(m) = -24*m - 42. Let i(u) = -5*u - 9. Let g(r) = -3*c(r) + 14*i(r). Give d(g(w)).\nAnswer: 56*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1398668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, b: 1, h: 3, l: 1}. Give prob of sequence ffhb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = l - 5, -237*g - 23 = -5*l - 234*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100575 = 804*c - 777*c. Calculate the remainder when c is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -4, -6, -1\/41?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + sqrt(175))**2 - ((sqrt(847) + -1 - sqrt(847)) + sqrt(847)) - (3 + (-1*sqrt(252))**2).\nAnswer: -11*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4521?\nAnswer: 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 2, a: 2, x: 2, n: 7}. Give prob of picking 3 n.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 4 + n**2 - 6*n**2 + 4*n**2 as v*n**2 + d + m*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 27*r + 242. Let h be k(-10). Which is the second smallest value? (a) 3\/11 (b) h (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrrs when four letters picked without replacement from cjjrjjrjs?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23138529.\nAnswer: 3, 23, 335341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 289 - 309 - (-10 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56 + 14)\/(-2) - 19. Solve -y = -5*l + 20, -2*l + 6 = h*y - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4512 = -2*k + 4380. Let x = k - 1983. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let g(x) = 9*x - 75. Calculate g(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303 + 308. Suppose q*w = -2*u + 36, 5*w + 42 = -4*u + 8*u. Solve 12*k - 5 = u*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-747)\/(-166)*8\/18. Let t(z) = z**2 + 3. Let o be t(0). Suppose y = 5 - o. Solve -q + 1 = k, -y*q + p*k - 22 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-234)\/(-144) + 9\/24. Suppose 4*t + r*t = 276. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(-3) - 13\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 251 - 246. Put h, 2, -3 in ascending order.\nAnswer: -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707527051 to the power of 1\/3, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 17*z**2. Let f(o) = 2*o**2 - 4*o**2 + o**2. Calculate t(f(n)).\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-2)\/10 + 126\/(-70)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + u. Let h be o(-2). Let f be h\/(-21) - (-2)\/7. What is the units digit of 1 - (-3 - f\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 126*f**2 + 141*f + 922. Calculate z(-64).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 6 + -5 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183969710557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (100 - 97) + 2*1093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:29 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5 - -2?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnz when three letters picked without replacement from {n: 2, z: 4, m: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - -6*-3*sqrt(156) - 2*sqrt(156)*-3)\/(sqrt(24)\/(sqrt(8)\/sqrt(4)*4)*3).\nAnswer: -44*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102272 plus -3.6?\nAnswer: 102268.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 16\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/11 - 314586*v**3\/11 + 12370386630*v**2\/11 + 12370701218*v\/11.\nAnswer: 2*v*(v - 78647)**2*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-5)\/6))\/(981\/(-218))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68376.1346 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8546*s*w**2 + 2*s*w + 11*s - 135*w + 2 wrt w?\nAnswer: 17092*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-444)\/24)\/(-37).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 1. Let t(l) = l + 1. Let m(p) = -2*p**2 - 3*p - 6. Let c be m(-4). Let v = 22 + c. Determine v*d(i) + 5*t(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 minus -18.7193603946?\nAnswer: -61.2806396054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + (-42)\/10)*-122. Let y = m + -361\/15. What is the fourth smallest value in y, -0.2, -3, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3497 + -1560. Let d = 1190 + v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2642116375 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/f**0)))**(1\/16)\/(f**(2\/9)\/f)**39 assuming f is positive.\nAnswer: f**(1459\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = p - 162 - 144, 4*p + 3*k - 1191 = 0. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*b**2 + b**2 - 8*b**2)*(-2*b - 5*b - 3*b)*(-5 + 0 + 3)*(3 - 5 + 1 + 4).\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -14*w + 10. Let m(z) = -8*z + 5. Let g(c) = 6*f(c) - 11*m(c). Let u(v) = -v + 3*v - 3*v - 1. What is -g(r) - 5*u(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 8*n + 7. Let j be w(-7). Suppose j = 4*i + 6 + 6. Which is the second biggest value? (a) -0.2 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1979 and -2.34?\nAnswer: 4630.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 344 and 3422?\nAnswer: 1177168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 13) to base 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*d - 2, -3*i + 4*d - 1 = -d. Suppose 4*f - 4*h = 12, -i*h + 4*h + 3 = 3*f. Factor -1\/7*a - 1\/7*a**2 + 1\/7*a**3 + f + 1\/7*a**4.\nAnswer: a*(a - 1)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 4*c**2 + c**2)*(c**3 + 13*c - 13*c - 6).\nAnswer: 2*c**5 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -3*q. Suppose 2*i + 0*i = -3*b + 37, q = 3*i + 2*b - 48. Let f = i + -16. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -3\/10, 32356?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 + -41 + -19 + -148.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q + 14*q**4 - 59 + 64 - 2*q wrt q?\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 5 = 3*l. Suppose -f - 2*f - l*g = 0, -3 = g. Let k be 4\/(-14) + 9\/(-42). What is the second biggest value in f, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2368*u - 2 - 1819*u + 5515*u to o + k*u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -24 - (-3 - 76 - 19)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 291764 - -478236. Round p to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12240594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/14)\/(z\/(z**(-2\/51)\/z*z)))\/((z*z**(-15))\/z*z)**(1\/45))**(1\/44) assuming z is positive.\nAnswer: z**(-5503\/471240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + -38 + -18 - (-2 + -2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2409 divided by -1?\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(2\/(-4)*(-28)\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (4 - (0 - 4)). Let b = -10 - u. What is the tens digit of 72\/(-54)*51\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzoiz. Give prob of picking 1 i and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 634? (a) -1\/7 (b) -0.207 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 + 205 = -2*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04947331487 to three dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23767129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45349\/6 - -7539. Suppose -2*g - 2*m + 9622 = 0, -5*g + 0*g - 3*m = -24053. Let z = g + -33613\/7. Calculate the common denominator of y and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2146 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.9. Which is the third biggest value? (a) i (b) 0.4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -103 + 43. Suppose 52 = 4*y + f. Let z(g) = g**2 + 9*g + 8. What is the lowest common multiple of y and z(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 19. Calculate the smallest common multiple of o and (-60)\/(-14) + 2\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (-1 + 0 + sqrt(5))) + sqrt(5) - (sqrt(45) + 2))**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/40*-4*-1*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5414523 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 202103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16954 - 16954. Let u(v) be the second derivative of 0 + o*v**2 + 1\/6*v**4 + 0*v**3 + 13*v. Let x(s) = -6*s**2. Give x(u(c)).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 6*u**3 + 3*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**5\/60 - f**4\/12 - f**3\/9 + 8*f. Find g, given that z(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/14 and 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 4*m**2 + 8*m - 12. Let v be x(5). Calculate the common denominator of v - (4\/(-32) + 0) and 23\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6811 + 5493 + 31318 = 1250*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25, -4, 2 in ascending order.\nAnswer: -25, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1253, 3548, 7377, 12740?\n\"Answer: 767*h**2 - 6*h + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 769.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 544, -4, -44, -1.\nAnswer: -44, -4, -1, 0.4, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71230771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2675175, -5350388, -8025603, -10700820?\n\"Answer: -u**2 - 2675210*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 73?\nAnswer: -53\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -23. Let l be 20\/6 + u\/(-12). Suppose l*z + 13 - 65 = 0. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 10 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 982064.2ug in kilograms?\nAnswer: 0.0009820642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**4\/4 - y**3 + 2*y**2 - 3*y + 1. Let u be i(-5). Let q = u + -8. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/45 - 76\/(-18). Let n(a) = 6*a**2 - 7*a + 8. Does 19 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -25\/4 (b) -23 (c) -0.06 (d) 5 (e) -240\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7203*c**5 - 246960*c**4 + 540960*c**3 - 456960*c**2 + 172800*c - 24576.\nAnswer: 3*(c - 32)*(7*c - 4)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1*21)*1. Suppose i + 4 = 5*w. Suppose 315 = 4*d - 2*q + 45, -w*d + q = -342. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-26) + 48\/(-364)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y + 25. Let g be s(5). Calculate the greatest common factor of 160 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45994 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/15*((-78)\/112)\/((-12)\/(-80)) and 13\/471.\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5823071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 148*o**3\/7 - 66*o**2\/7 - 4*o\/7 = 0.\nAnswer: -2\/37, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:07 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/4 - b**3\/6 + 20*b**2. What is n(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + 1b71?\nAnswer: 1b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 3, -5, -32, 1\/11, -0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 14 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = c + 4*h, -2*h - 1141 = -3*c + 205. Calculate the remainder when c is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/9)\/(-1*6\/9). Suppose -u*o = -7*o + 10. Suppose -3*x + 468 = 3*g, -o*x = -0*g + 4*g - 618. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 236509\nAnswer: -141905.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 + 6210*l + 303000 = 0. Calculate l.\nAnswer: -2020, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -8)\/2 + (-3)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -4014433437.57?\nAnswer: 4014433437.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -163644, -163349, -163044, -162723, -162380, -162009, -161604?\n\"Answer: i**3 - i**2 + 291*i - 163935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16347 - -16363. Calculate the lowest common multiple of c and ((-15)\/2)\/3*-32.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 56*o + 24 - 53*o + 101*o. Let n be g(-6). What is the highest common factor of 126 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17250?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 148\/(-1 - -2). Let q = -430\/3 + o. Let l = -0.11 - 5.89. Which is the third smallest value? (a) 0.2 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 4*d + 8*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76278908 - -88483582289\/1160. Let w = d - 1297\/29. Calculate the common denominator of w and -91\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/26)\/((-9)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/112 - -6) + (44\/28 - 2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3194, 11 in decreasing order.\nAnswer: 3194, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4\/6 + 11*x**3\/6 + 31*x**2\/6 + 7*x\/2 = 0.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 8?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x + 0*x**4 - 3*x**4 + x**3 - 14*x + 4*x to the form u*x**2 + a*x**4 + j + c*x**3 + t*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1836\/663 + (-6)\/(-26)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (3 - 3)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8823716 is divided by 154.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v + 48*v = 72, -3*v - 23 = -2*o + 31 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 342189325 from -69.37.\nAnswer: -342189394.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 145\/2?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23425088?\nAnswer: 2, 31, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9775837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 150?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 0*l**2 + 0 - 2*l - 10\/3*l**3. Let q(s) be the second derivative of s**4\/4 + 317*s. Calculate r(q(c)).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -497425*a**2 - 7685*a + 18.\nAnswer: -994850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 17. Let g be h(8). What is the third derivative of g*m**6 + 8*m**6 - 6*m**2 + 31*m**2 + 13*m**6 wrt m?\nAnswer: 4320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 9*l**2 - l + 6. Let u be b(9). Let r be (-20)\/18*((-81)\/(-45))\/u. Let j be (1\/(-3))\/((-3)\/(-9)). Put -11, j, r in ascending order.\nAnswer: -11, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 11*g - 271 - 16*g**2 + g + 190. Let o be c(-17). Solve y + a = 2*y - 4, o*y - 11 = 3*a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 32. Let n be a(7). Let f be (13 - -1) + (-32)\/n. Solve 4*v + 10 + f = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c**2 + 1. Let x(n) = -12*n**4 - 4*n**3 - 3*n**2 + 4. Let f(m) = -4*b(m) + x(m). What is the third derivative of f(s) wrt s?\nAnswer: -288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 0*c + 12 + 9. Let o be d(-8). Solve 0*t + o*t = 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -165*q**3 - 229*q**3 - 34*q**3 + (-4*q - 2*q + 0*q)*(q**2 - 4*q**2 + 2*q**2).\nAnswer: -422*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 49327 divided by -2\nAnswer: -49327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/55*((-2910)\/(-18))\/((272\/(-24))\/(-17))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*a - 2, 3*a = -2*d + 1 + 1. Suppose a = n - 5 - 5. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**3 + 6*h**2. Suppose 6*j - 4 = 5*j. Suppose j*k + 5*b + 12 = 2*k, k + 6 = 5*b. Let g(z) = -z**3 + z**2. What is k*g(t) + c(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -46, 6, -2, -5.\nAnswer: -46, -8, -5, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 - 5*d**3 + 0*d**3)*(2*d + 10 + 7 - 12) as t + j*d**3 + r*d + k*d**4 + s*d**2 and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4986442382 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/13, -5\/131, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 288, 1053, 2542, 4989, 8628, 13693, 20418?\n\"Answer: 39*h**3 + 11*h**2 - 31*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78990988 by 1.\nAnswer: -78990988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3036 is divided by 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32083 or 32080?\nAnswer: 32083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + 3. Factor 6*c**2 - b*c**4 + 40*c**4 + 0*c**2 + 15*c**3.\nAnswer: 3*c**2*(c + 2)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21839315?\nAnswer: 5, 4367863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 4, -3.\nAnswer: -3, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 4)*(0 + -2). Let a = -9080 - -9102. Is 4 a factor of (a\/j)\/11 - (-143)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011598 to 6 dps.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, -1, -4, 3.\nAnswer: -170, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from tlbllttbbltbbllbl?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/(1\/((-15)\/(-3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from jnnnjjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:46 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-80)*-1*(-8)\/(-36)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 24 = -h. Let l be ((-2)\/3)\/(4\/h). Let k be (3 + -1 - l) + 5. What is the greatest common factor of k and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*s - 8234, 0 = -2*c + c - 3*s - 4105. Is -30*((-2)\/14 + c\/1190) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3363570 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -227*x**2 - 1220*x - 10. Let u(y) = -113*y**2 - 610*y - 6. Let k(j) = 3*p(j) - 5*u(j). What is the second derivative of k(r) wrt r?\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/4 - 1173*u\/4 + 1773\/2.\nAnswer: -3*(u - 3)*(u + 394)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 155736344553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5206927, -5, -8 in decreasing order.\nAnswer: 5206927, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-162952)\/36*-1)\/(109\/981)?\nAnswer: 2, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*f**2 - 42115*f + 12030.\nAnswer: 5*(f - 1203)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2444\/(-65)*(-510)\/(-408).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1088843 (base 11) to base 8.\nAnswer: 7177500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 4:40 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 553666067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15157, 2, -416, 4 in ascending order.\nAnswer: -416, 2, 4, 15157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 52 = -4*w, -3*w - 3*x + 37 = -2*x. What is the least common multiple of w and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 8000*r**2 - 5910506*r + 1222238772 = 0. What is r?\nAnswer: 443, 3114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1952 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 37205280*q - 69211642993920.\nAnswer: -5*(q + 3720528)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160997 is divided by 211.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 83556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-2)\/(-2) - -35. Suppose 3*d - 7*d - v = 0. List the prime factors of (d\/(-1) + 2)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1752 - -4676. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 67*k**3 - 2 - 2*k**2 + 68*k**3 as z*k + m + y*k**3 + u*k**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2132, -2700, -3270, -3842, -4416, -4992, -5570?\nAnswer: -6150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 611*s**2 + 5*s - 25. Let x be d(-9). Suppose -2*g + 77696 = 3*l, -4*g - 2387 - x = -2*l. Round l to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44374 at least as big as 0.344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3646162 or -10938482\/3?\nAnswer: -10938482\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 51. Solve 2*s = -l + 12, -q*l - 2*s = 3*s - 40 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t + 9*t + 38*t + 44*t - 164*t.\nAnswer: -59*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 3 + 3 + (3 - 6 - 4)*(-2*i - i + i) + 0 - 5*i + 0 as c + s*i and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90481 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 - p**2 - p. Let w(b) = 5*b**3 + 2*b**2 + 2*b. Let r(o) = -o**2 - 7*o - 8. Let a be r(-5). What is a*w(f) + 3*k(f)?\nAnswer: -2*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.125 and -0.039.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9813.\nAnswer: 3, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 10 + 1\/2*i**2 + 0*i. Let n(t) = 2*t. What is w(n(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 61784.06 milligrams?\nAnswer: 61.78406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -570.2 + 589. Let b = q - 16.8. Suppose -2*y - 2*y = r + 5, 2*y = -3*r - 25. Is b != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -28\/9 (c) 56 (d) 10\/3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -32*l**2 + 0*l**3 + 0*l + 0 + 67\/24*l**4. Let k(o) = -2*o. Calculate k(v(t)).\nAnswer: -134*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257096.3ns to milliseconds.\nAnswer: 0.2570963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12*14 + 1495\/(-759)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*a - 17 = -0*a, -5*a = -4*c + 21. Let x be (-10)\/2*(-4)\/c. Suppose -5*d + x*l = -0*d - 90, d - 2*l = 17. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 581e?\nAnswer: 5825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 204 (b) -8805 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 38*s - 60. Suppose 0 = -6*y - 133 + 37. Let w = -16 - y. Solve w = f - s - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-117)*(-27 + 6)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -13. Suppose -5*i = -43 - 37. Suppose 4*t + 0*t = i. Put t, -2, b in descending order.\nAnswer: t, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -9*c - 22*c - 3*c. Suppose -2*u - 2*u - 4*x = -8, 16 = 2*u - 4*x. Solve u*n = y - 3, -n + 0*n = -5*y - c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*a - 7 = 0, -p + 2*a = -3*p - 6. Suppose 118 = d - 2*m, -p*d - 4*m = 2*d - 424. What are the prime factors of d?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1213 divided by -3\nAnswer: 1213\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 2 + y - 5*y - 2*y as k*y + m and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110 (base 4) to base 8.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k**2. Suppose -a = 0, -t + 3*a = -978 + 980. Let g(m) = -73*m**2 - m + 1. Calculate t*g(v) + 7*u(v).\nAnswer: -22*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = 4*h - 12730. What are the prime factors of h?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcuwwtluuuuuw. Give prob of sequence lgwu.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 6*y)*(2 - 1 + 1)*(-9*y**2 + y**2 + 6*y**2).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2 (c) -2\/7 (d) 6 (e) -8\/1211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 6. Suppose -b*h = -2*h - 2. Suppose -3*v - h*v = -130. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 261*x + 3402. Calculate the remainder when 269 is divided by k(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4689133.\nAnswer: 4689133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (24\/9)\/(66\/34947)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194 - -316. Let w = t + -32. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -47. Let y(u) = 2*u**2 - u + 1. Let v be y(1). Let r be (v + 0)*(1 - (-6)\/4). What is the nearest to 1\/3 in n, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 46 = 5*b + 3, -5*b + 49 = 4*c. Suppose 726 = -b*i + 12*i. Suppose -89*o - i = -91*o. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 (base 13) to base 7\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*r - 40 - 42, 4*y = r - 8. Let k = -11 + r. Suppose 150 = k*n + 5*l - 30, l = -3*n + 112. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.8 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000567841 rounded to 5 dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 120210?\nAnswer: -120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21557 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669816.\nAnswer: 2, 47, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + -14. Suppose -4*i - 83 + 67 = 2*u, -4*i + 12 = -5*u. Put u, -1, w in descending order.\nAnswer: -1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 - 3*v**3 - 3*v + 2*v**4 - 3*v**4 - 5*v**2 to i*v**4 + s*v**2 + u*v + r*v**3 + y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-45 - (-16 - 8)) - (-42 + (1 - -4))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.508 - 46.508. Let w = 51 + i. Which is the smallest value? (a) -0.5 (b) -15 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 1\/14 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 6*z**2 - z + 13. Does 24 divide a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**8\/112 - 23*t**6\/24 - 601*t**5\/60 + 914*t**2. Find the third derivative of k(h) wrt h.\nAnswer: -180*h**2 - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4 + 620*f**3\/3 - 626*f**2 + 628*f + 632. Factor n(p).\nAnswer: 4*(p - 1)**2*(p + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 213109\/(-52)*(-3 - 1). Suppose 5034 = 7*r - j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - -7. What is the highest common divisor of j and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r - 2*c + 12 = 39*r, 2*c = 5*r - 28. Solve 5*y + r + 22 = -3*i, -y + 4 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210152, -420307, -630460, -840611, -1050760, -1260907, -1471052?\nAnswer: -1681195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 76. Suppose -4*g - 3*p - 45 = -129, -p = 2*g - q. Calculate the highest common factor of 324 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = s - 26, 15*p - 2*s - 3 = 16*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 5*a**2 + 4*a + 1. Determine o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 174?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (20 - (7 + 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/3 - 515*m\/3 + 170.\nAnswer: 5*(m - 102)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcrcjcjrrjcc. What is prob of picking 2 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdgegdgqdqgdggqggq. What is prob of picking 1 q and 1 d?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 866313756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Let g(z) = -z - 1590 + 3270 - 1563. Calculate r(g(y)).\nAnswer: y**2 - 234*y + 13689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 14. Let p be z(6). Solve -p*f + i = 5*i, 5*i = -5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-20))\/(((-90)\/20)\/(-3)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47924.94 litres to millilitres.\nAnswer: 47924940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 5, -3, -1.\nAnswer: -25, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r + 4. Let f be (1\/(-4))\/((-5)\/60). Let z be y(f). Suppose 2*i = 4, -31*i + 36*i - 1 = 3*c. Solve -q + z = c*u + 30, u = -3*q - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55251203 (base 6) to base 7\nAnswer: 20032620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -102101100400?\nAnswer: -102101100403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 7*b. Let l(s) = 5*s**2 + 6*s. Let g = 2439 - 2435. Give g*z(n) + 3*l(n).\nAnswer: -n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 68*60\/(-288)*2424\/(-505)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44805542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/((50\/(-360))\/(60\/(-18)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -565817000 to the nearest 1000000.\nAnswer: -566000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8640)\/(-13680))\/(8\/(-4))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 755559949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/67 - -463\/402. Suppose -4*j = -0*j. Calculate the common denominator of v and 4*(j + 1\/(-7)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12689.9 - -1863.1. Let b = -14550.4021 + w. Let r = b - 2.6. What is r rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26571*3.98.\nAnswer: -105752.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -50*h - 453. Let m be l(-9). Which is the nearest to -1? (a) 2 (b) m (c) 245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -19. Let y be 1\/1 - (3 - s). What is the smallest value in y, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42292?\nAnswer: 2, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -167\/5, -69, -4, 0 in decreasing order.\nAnswer: 0, -4, -167\/5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1598 - 967. What are the prime factors of k?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 108*a**2 - 456*a + 464.\nAnswer: 2*(a - 2)**2*(a + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 68*l**2 + 8. Let m(q) = q**2 - 1. Give -8*m(a) - o(a).\nAnswer: -76*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.105, -4, 2947, 3, 3\/8, -1\/6, 2\/7?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2464157 is divided by 899?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.01 rounded to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54490 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -7*q**4\/12 + 28*q**3\/3 - 175*q**2 + 6*q - 79. What is the derivative of f(a) wrt a?\nAnswer: -14*a + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (0 - 2)) + 23 + -68.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27202023, -54404073, -81606123, -108808173, -136010223, -163212273?\nAnswer: -190414323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 26*c - 25. Let x be a(27). Is 9 a factor of (-16176)\/(-180) - x\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1599?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-23)*r**12\/r)\/(((r\/(r**(-1\/27)\/r))\/r)\/r**(-38)))**(-32) assuming r is positive.\nAnswer: r**(44096\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1568411 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let g = 7 - 10.5. Let f = g + 4. What is the nearest to 1 in f, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -311141 and 0.1.\nAnswer: -31114.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.067112\nAnswer: 0.0134224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*y**3 + 294\/11*y**2 + 14406\/11*y + 235298\/11.\nAnswer: 2*(y + 49)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 16}. Give prob of sequence us.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(5)) - (-2 + (sqrt(5) - sqrt(20)) + sqrt(5)).\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -5*r**4\/4 - r**3\/6 + 13*r**2\/2 - 58*r - 34. Let s(i) be the first derivative of a(i). Differentiate s(v) wrt v.\nAnswer: -30*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g - g)*(6 + g - 6)*(1507 + 27 - 208)*(3*g**2 - 1 + 1).\nAnswer: -7956*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = 6*p + 20*g, 3*p - 17*g + 12*g = p - 68 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 8 - (457 + -464).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2. Let j(b) = b**2 - 210. What is j(a(c))?\nAnswer: 36*c**4 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 6*r**2 - r - 2. Let j be b(-6). Find the third derivative of -t + 27*t**4 + t - 33*t**j + 3*t**2 wrt t.\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/2 + (-83 - -50). What is the third biggest value in v, 2, -0.02, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/11662456 and -77\/1976?\nAnswer: 221586664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100932667 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4666 + 4666. Put 0.14, a, 1 in decreasing order.\nAnswer: 1, 0.14, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -421+0.1421\nAnswer: -420.8579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*y - 17 = 5, 0 = 3*b + 3*y - 12. Let l = 18 - 15. Solve -b*i - 3 = -o, i - o + l = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2418 and 3526467?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/9 - 2\/(-3). Suppose -39 = -4*c + d*g - 4*g, 5*c = -3*g + 47. Is 36\/c*(-40)\/(-12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laf when three letters picked without replacement from eaaeaaaawfaafl?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1156, -5856, -17648, -40078, -76692, -131036, -206656?\n\"Answer: -591*b**3 - 563*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -274.51 times 22343\nAnswer: -6133376.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, p: 2, q: 8, u: 1}. What is prob of sequence ppuq?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1752 + 1756. Suppose -3*n + w = -36, -n - 4*w = -0*n - 12. Suppose -4*r - n = 0, y + 4*y - 22 = q*r. Solve y*s - 9 = 2*x + 7, 4*x - s + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 + -273. Let n = -163 - r. Solve 20 = -7*j + 3*j - n*a, -4*j - 4 = -2*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 38. Let x be d(-6). Let y = 31 + x. Solve y = -6*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.043 rounded to 0 decimal places?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1140086, 2280176, 3420266, 4560356?\n\"Answer: 1140090*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 118097.8596ns?\nAnswer: 0.000000000195267625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 1348 = 1429 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -3 + 1\/6*d**2 + 1\/9*d**3 + 0*d. What is o in r(o) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -42. Find the common denominator of ((-45)\/756)\/((-1)\/(-8)) and (a\/(-4))\/((-2)\/32).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20517 - 20512. Put -1, z, 0, -5 in decreasing order.\nAnswer: z, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 108. Let p be g(0). Is (5\/2)\/(6\/p) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 27, -5, -4, -75, -2 in ascending order.\nAnswer: -75, -8, -5, -4, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 201 = 19 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 1 = -2*q - 75, 8*d + 541 = 20*q + 1197 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 53 = 56, 0 = -y - p + 61. Let i(g) = 3*g + 3. Let w be i(-4). Let u = y - w. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22748, -22752, -22758, -22766, -22776, -22788?\n\"Answer: -p**2 - p - 22746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2\/3 + 1\/3*s + 1\/3*s**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 6:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {w: 4, q: 1, k: 2, p: 3, n: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0210125mg in grams?\nAnswer: 0.0000210125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221010 (base 3) to base 6.\nAnswer: 10303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -6.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -147296 times 1?\nAnswer: -147296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.5. Let x be (-2)\/6 - 3\/(-7). Which is the third biggest value? (a) x (b) q (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 417 and 419 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13394 is divided by 6652.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 15) to base 5\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + (-3 + sqrt(2057) + -1 - sqrt(2057)))**2)*6*5.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72556 divided by 1649?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 82, 199, 374, 613, 922?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 135*w**2 + 2298*w - 251. What is g(-115)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, -5064, 2\/13, -2\/27, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/50 + 4\/(-10). Let b(a) = 5100001*a**2 + 2*a + 1. Let l be b(x). What is l rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799.9185 - -1526617?\nAnswer: 1527416.9185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -11*i**5\/10 - i**4\/3 - i**3\/3 - 10*i. What is the units digit of q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 610?\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -0.4, -1\/28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -44. Let o = u + -12. Sort 0.1, o, -0.2 in decreasing order.\nAnswer: o, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.09 times -31.101\nAnswer: 33.90009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/88 - (6\/8 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22090541.\nAnswer: 11, 2008231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 293, 584, 873, 1160?\nAnswer: 1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*a - 146*a - 109 = -w + 138*a, 7*w = 3*w + a + 65 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2 - 5*q - 48. Let w(g) = 8*g**2 + 11*g + 96. Let v(r) = -5*n(r) - 3*w(r). Let s be v(-4). Sort -14, 1, s, 5.\nAnswer: -14, s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - v - 4 = 0, 4*h + 4*v = 44 + 4. Suppose 28 + h = 6*b. Let g(p) = -6*p + 11*p - b*p + 5. Calculate g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 40 = -4*f + 36, 5*f - 94 = -3*o. Let p be -5*-3*(f\/(-12))\/(-5). Which is the closest to 1? (a) -0.4 (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9a16 (base 16) to base 6.\nAnswer: -22520410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3 - 284*y**2 + 20164*y = 0.\nAnswer: 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3150747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.11, -1\/5 in ascending order.\nAnswer: -1\/5, 0.11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 135423?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 14, k: 2}. What is prob of picking 1 r and 1 x?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 + 6075*k**2 - 372743*k - 378819 = 0. Calculate k.\nAnswer: -1, 63, 6013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 - 7*s - 9. Give u(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose -k + p*k + 2 = 0. Solve 8 = k*c, -c + 9 = -j - 0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*j**2 - 1\/4*j + 0*j**3 + 0 - 1\/2*j**4 + 1\/4*j**5 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 - 7*t + 6. Let k be n(6). Suppose 14 = 4*q - 6. Suppose 64 = q*z - z. Calculate the highest common divisor of k and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3853183\/76 - -50699. What is the common denominator of 89\/10 and x?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and 158.\nAnswer: -6.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 298*v**2 - 3*v + 3. Let y be u(-1). Let p = y - 301. What is the third smallest value in p, -13, -11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 106. Suppose 3*a + 2*s + 6 = 6*s, a + 7 = g*s. Solve -5*l + a*b = -10*l + 10, 0 = -4*l + b + 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*p - 16 - 15 = 0, -2*a - 5*p = -25. Suppose -y - a*y = -192. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {p: 2, j: 1, r: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23898*1.12.\nAnswer: -0.2676576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/11 (c) 9 (d) -0.1 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5 + 9094*j**4 + 449886*j**3 + 836154*j**2 - 1295136*j = 0?\nAnswer: -4497, -48, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1195 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 2. Let l be f(0). Let j(v) = -v**2 + 5*v + 10. Let n be j(6). Suppose 0*s - 23 = l*s + 5*r, 2*r = n*s - 14. Put s, 5, -5 in descending order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 5. Let k(z) = -10 + 6*z - 27 + 11. Give -11*a(o) - 2*k(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 2698.0616.\nAnswer: 1079.22464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) + (-2*sqrt(1500)*-2 + sqrt(1500) - sqrt(1500)))\/((sqrt(588) - -2*sqrt(588) - sqrt(588))*-5).\nAnswer: -5*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(72) + -1 + sqrt(72) + 5 + sqrt(12)\/(sqrt(12)\/sqrt(2))*-2).\nAnswer: -20*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 35. Is m(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.03, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35304514719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 33) + 19 + -25.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 2*j**3 + 3*j**3 + (-800 + 234*j + 800)*(-2*j**2 + 2*j**2 + j**2).\nAnswer: 236*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 80 = 2*p + j, j = 3*p - 193. Let o(i) = -2*i + 33. Let z be o(15). Let v = z + 29. What is the greatest common divisor of p and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13802468.\nAnswer: 2, 997, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1963782 and 103806.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {l: 9, g: 4, f: 3, a: 2, r: 1}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -143, -5\/12, -1, 2\/3, 0?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5*u**3 - 1477*l**5 - 132*l*u**3 + 10*l + 9*u**2 wrt l.\nAnswer: 40*l**3*u**3 - 29540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -46687595 times 0.5\nAnswer: -23343797.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22602 divided by 22602.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15326.91 millilitres to litres.\nAnswer: 15.32691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1303 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11272 or -11276?\nAnswer: -11276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c**2 - 13*c + 1. Let b(w) = 4*w**2 + 6*w. Let r(l) = 7*b(l) + 3*m(l). Suppose -4*d + 3*d = -2*k - 12, 18 = -3*k - 5*d. Is r(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.1. Let l = 84.7 - 80. Let v = l - -0.3. Put v, u, 1\/4 in decreasing order.\nAnswer: v, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n + 3*n - 5*n + 1 + 0*n. Determine w(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -253340 - -522340. What is d rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4049 (base 16) to base 14\nAnswer: -5dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 18*p + 15. Solve -9 + 15 = p*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (sqrt(1331) + -1)**2 - ((sqrt(704) - sqrt(704)*1)*-3 + -1)**2.\nAnswer: -22*sqrt(11) + 1337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/111 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 16, 1, -5 in ascending order.\nAnswer: -5, -2, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by (4\/5)\/((-58)\/145)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 3 = -16*z. What is the second derivative of -2*h**z - 18*h + 16 - 9*h**2 - h**3 + 16*h wrt h?\nAnswer: -18*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60439?\nAnswer: 19, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1842 + -1815.055. Let v = o - 27. Round v to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3\/6 + 160*g**2\/3 + 5*g\/6 - 160\/3.\nAnswer: -5*(g - 64)*(g - 1)*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*q**2 + 3*q**3 - 41*q**2 + q + 13*q**4 - 3*q**3 - 3 + 64*q**2 in the form k*q + s*q**2 + i + j*q**3 + v*q**4 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2221246\/(-227477))\/((-3)\/51*-2)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Suppose w = f + f - 55008794. Suppose 3*n + 68904397 = f. What is n rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-two fifths of a hour?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5*b**3\/6 - 3*b + 2. Let f(l) be the first derivative of q(l). Let o(x) = 2*x**2. Calculate f(o(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1593500740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 10 (b) -3 (c) 5 (d) 1076871 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from zdddgddgzddddt.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 - (7 - (-6 + 1617)).\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -66*p + 130*p - 64*p + p**2. Let x(y) = -24*y. What is o(x(h))?\nAnswer: 576*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -14*i + 515. Let m = 72 - i. Is m > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 764 by 585.\nAnswer: 764\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3222\/4475*(-5)\/(-3). Determine s, given that -l*s + 3\/5*s**2 + 6\/5*s**3 - 3\/5*s**4 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3870 = z - 3*c, 4*z + c = 15519. What is the hundreds digit of (z\/(-27))\/(2\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmyuyaynfyuyn. Give prob of sequence fyan.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 smaller than -259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 1599\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 + 5 + 70)*(-f + 1 - 1).\nAnswer: -159*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -8*v. Sort 2, -0.7, v in descending order.\nAnswer: 2, v, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - 4443279 + 8886518 + 31*o**3 - 4443239.\nAnswer: 37*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 f when three letters picked without replacement from {n: 7, f: 4, m: 1, a: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2847\nAnswer: -2\/2847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -518.8 + 1.06\nAnswer: -517.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {a: 13, c: 6}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - -2 - -2) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6891777*h + 33769149 wrt h.\nAnswer: 6891777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1*2)*(-69)\/1173*-85\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + 23 - 22) + -54 + 23?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/32, 4, -2.353, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 2\/(-9) + (-357)\/(-27) + 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -11. Let w = 4 - 1. Suppose 3*y - 2*f + 12 = 6*y, 3*y - w*f - 12 = 0. What is the remainder when r is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 0, -2, -5 in descending order.\nAnswer: 3, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 2*b**2 - 28*b - 64. Determine y(0).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43606.\nAnswer: 2, 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*m + 2*c - 93, -8*c - 38 + 9 = 18*m - 10*c + 79 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8162.028 months?\nAnswer: 68.0169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2 - 4*z**2 + 32 - 1 - 5*z + 2084*z**3 - 3. Let w be k(6). What is w rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*h + 32787 = -16443 + 7872. Let w(p) = 9*p + 2. What is the remainder when h is divided by w(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(11) - sqrt(3))*-5 + 0 + sqrt(3) + sqrt(108).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*j + 117*j + 4*r - 9456, 2*j - r = -4724. Is -2358 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3. Let f be r(1). Suppose -x - f = -3*x. Find the first derivative of -8 - 3 + x*u + 13 wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a - 9 + 9.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-516)\/(-36) - 2\/6. Let t(m) = m - s*m + 6 + m**2 + 16 - 1. Let w be t(12). Calculate the highest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.3141 and -124?\nAnswer: 120.6859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -587 - -601. What is the least common multiple of p and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 419\/42494?\nAnswer: 419\/42494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -11) + 6 + -1 - (17 + -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:32 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 642 - 637. Suppose b*v - 6*v - 91 = -n, -4*v = -3*n + 369. Let u(p) = 15*p + 9. Let h be u(-7). Is v less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12.45778 centimeters?\nAnswer: 124.5778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -66190?\nAnswer: 66182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5475 + 10526. Is l a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4368, -35244, -119316, -283266, -553776, -957528, -1521204?\nAnswer: -2271486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(14*(-33)\/693)*(-87)\/3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*((-9)\/6 - -2). Let k be u - 4 - (1 - 1). Let s(g) = g**3 - 6*g**2 - g + 5. Let z be s(6). Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 17747, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37231081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/60 + 7*f**4\/24 - f**3\/2 - 75*f**2. Calculate w(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -718559*r**4*t - 20*r*t - 193269602*t wrt r?\nAnswer: -2874236*r**3*t - 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 2, w: 2, p: 8, x: 3}. What is prob of sequence xnw?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*15\/(-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1046743817441\/2001117838899 + -2\/340847869. Let o = d - -1\/309. Let s be 1 + 1 + -2 + 1. Are s and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*j + 209 + 0 = 3*c - 48*j, -3*c + 3*c - 12 = 3*j for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 2:15 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**11\/u)))\/(u*u**(-24)*u) assuming u is positive.\nAnswer: u**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -81, 7\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = -4*j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 - 761928*b + 145133569296 = 0. What is b?\nAnswer: 380964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-65)*(-1040)\/24.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*b = -130*b - 120 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*f + 2938 + 3731 = -75*f + 65*f for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21200 - -10?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 14*p + 10. Are p and 15\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 138*n**4 - 4*n**3 - 120. Let t(b) = -b**4 - 2*b**3 - 2. Let c(w) = q(w) - 2*t(w). What is the first derivative of c(x) wrt x?\nAnswer: 560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 0. What is the nearest to 1 in 5\/4, 0.5, d?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chc when three letters picked without replacement from chbc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 8. Let r be x(6). Let a be (1\/(-2))\/((-1)\/12). Solve 0 = 5*o - r*o - a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 148524*o**2 - 4749696*o + 37989376.\nAnswer: -4*(o - 37099)*(o - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -201, -176, -151, -126, -101?\n\"Answer: 25*a - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5341417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8830.998 rounded to the nearest 100?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b - -31564?\nAnswer: 31509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**2*w + 5*s**2 + 173138*s - 58*w**4 + 1061*w**3 + 1 wrt w.\nAnswer: 3*s**2 - 232*w**3 + 3183*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 12. Let k be g\/(-2) - (-1 + -8). Let a(o) = -o**2 + 3*o - 1. Let y(r) = r. Calculate k*y(x) - 2*a(x).\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178287, -46, -1, 1, -2 in decreasing order.\nAnswer: 178287, 1, -1, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 383905626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-117)\/(-143) - (-8)\/44. Solve 9 = -4*o + g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15245895?\nAnswer: 3, 5, 7, 23, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = -5*m - 20, u = -m - 3. Suppose 5*l - j = j + 2071, u = -2*l - 5*j + 811. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xryr when four letters picked without replacement from {s: 1, y: 4, x: 4, m: 1, k: 2, r: 2}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 224767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 140227394817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 172 = 32. Let r = -21 + k. Let i = r + -25. Calculate the highest common factor of i and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(110) + (sqrt(110) - sqrt(110)*1) + sqrt(110) + sqrt(110))*3 - sqrt(110))*1)\/(2*sqrt(250)*5))**2.\nAnswer: 2816\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 297771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -4.4. Let r = 1548.4 - 1548. What is the third biggest value in t, r, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 575*k**2 + 2313*k - 1737.\nAnswer: -(k - 3)*(k - 1)*(k + 579)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52444596 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 2484.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 3, c: 7, h: 8}. Give prob of picking 1 r and 2 h.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*m = -7 - 15, -m = -5*u + 29. Solve 4*a - 4 = 6*i - 2*i, -i - u = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:18 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*z + 55. Let h(a) be the third derivative of -a**4\/24 + 8*a**3\/3 - a**2. Is h(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d*(d**5*d)\/d assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.43 - -13.43. Which is the third biggest value? (a) m (b) 7 (c) 2\/21 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514609 - 514597 + 1029206 - 31*z**3.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 211776814 + 0.5.\nAnswer: 211776814.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13846*g**3 + 13847*g**3 + 13858*g**3 + 13852*g**3 - 55416*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 172 = -4*d, 2*i + 4*d - 500 = -3*i. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150653077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1*v**1*((v**(2\/7)\/v)\/v)**(-2\/33) assuming v is positive.\nAnswer: v**(162\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m**3 + 13 - 13)*(2*m - m + m)*(-46*m - 28*m - 38*m).\nAnswer: -4032*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*-2)\/(6*sqrt(11)*2).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3129*g - 2*g**4 + g**2 - 42 - 8*g**3 + 3122*g + 42 to w*g + q*g**3 + h + z*g**4 + m*g**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31, 2\/9, 4\/5, 2\/7?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 - 17247*d = 0.\nAnswer: -17247, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611140 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - 7*a**2 - 55*a + 102. Let j be s(17). What is j rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 3 (c) 0.5 (d) 1 (e) 10638\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-24)\/16*224\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = p - 4*t + 8, 3*t = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -73*a**2 + 606 - 5*a + 70*a**2 - 609. Let s be (-29)\/87 + (-8)\/3. Give q(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4469172 divided by -6\nAnswer: -744862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2699 + -2697. Let w(f) = f - 1. Let h(m) = m**3 + 5*m**2 - 2*m + 2. Give d*h(t) + 4*w(t).\nAnswer: 2*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -580 (base 12) to base 11\nAnswer: -682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 + 3*d - 2. Let s be n(2). Is (4 + s - 2) + 797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 906922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 4.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**3 + 294*r**2 + 3*r. Let a(l) = l**3 - 2*l**2 - l. What is 4*a(n) + c(n)?\nAnswer: -n**3 + 286*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -521*n + 190*n - 1089*n - 179 + 226*n - 1162*n. Is j(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 29*k**3 - 5*k**2 + 5*k - 5. Suppose 7*j + 37 = -d, 2*j + 5*d - 99 + 119 = 0. Let s(b) = 144*b**3 - 24*b**2 + 24*b - 24. Determine j*s(u) + 24*f(u).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a\/a**4)\/a)\/(a\/(a\/(a**(2\/11)\/a))))\/(a**(-1))**(-1\/17)*(((a*a**(-1\/3))\/a)\/(a\/(a*a*a\/((a\/a**5)\/a))))**39 assuming a is positive.\nAnswer: a**(48388\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -769, -5753, -19341, -45853, -89609, -154929, -246133?\n\"Answer: -720*m**3 + 18*m**2 + 2*m - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5293?\nAnswer: 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1*-1*sqrt(320) + (sqrt(320) - (sqrt(320) + (sqrt(320) - (sqrt(320) + sqrt(320)*1)) + -5 - sqrt(320))) + 3)*-5 + 4)**2.\nAnswer: 3280*sqrt(5) + 9681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 + 1637*z**2\/5 - 133496*z - 403440.\nAnswer: -(z - 820)**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29156*n**3 - 372*n**2 + 2*n - 148536223?\nAnswer: 87468*n**2 - 744*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*h + 1. Solve 3*l - h*l = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 4. Suppose 0 = -3*b + f*j + j + 39, 0 = -j - 5. What is the lowest common multiple of b and 12*(-6)\/(-9)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (23 - 24)\/(2 + 9020\/(-4508)).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1379233\/(-55180) + 25)\/((-22)\/(-16) + -1).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -622*i**3 + 9049 - 9049 + 225*i**2 wrt i?\nAnswer: -3732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 - 5*h. Let n(u) = -u**2 + u. Let m(d) = l(d) + 5*n(d). Let t(j) = -33*j**2 + 2. Determine t(m(o)).\nAnswer: -297*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*l - 183 = -2*l, l = -4*q + 244. Put 1, -0.2, q in descending order.\nAnswer: q, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231310 = 25*m + 230210 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747 = -56*z - 2259 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 17*i**2 - 3336*i + 22862. Determine j(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-112907.\nAnswer: 1806512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1875\/17708 - -40\/233. Let o = t + 107\/684. Let z = 0.1 - 0.3. What is the nearest to z in o, -5, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 29*y + 9*y + 72 = -11*x, -5*y + 4*x = -4*y - 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 687714957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6390 and -3\/22?\nAnswer: 70290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297974 is divided by 356.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1333 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*b + 4 = 0. Let f = -119 + -71. Calculate the common denominator of 57\/4 and (b\/(-32))\/((-1)\/f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11261*h**2 + 7*h**3 - 3*h - 7951 - 5590*h**2 + 2370 - 5619*h**2 wrt h?\nAnswer: 21*h**2 + 104*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174 + 232. What is the greatest common factor of 522 and s?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, -59, -254, -425, -566, -671?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 0 + f**2 + 4*f + 4 - 5*f + 7. Let n be g(-8). Let q = n - 57. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-2 - -7) + -4))\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 433 in 3, -4, 7, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 5. Let i(c) = 3*c + 3. Let d be i(4). Let r = 9 - d. Let n(g) = -1. Let v(y) = -y + 2. Let f(p) = -2*n(p) + v(p). Give r*j(x) + 7*f(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6728369503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.42, 2\/37597 in decreasing order.\nAnswer: 0.42, 1\/3, 2\/37597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -43*m + 33. Let z(x) = 1. Let j(a) = -5*a + 4. Determine m*j(i) + 3*z(i).\nAnswer: 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 7 = -2*z + 3, -5 = -3*z - 2*j. Suppose 1565 = z*v - 5*y, y = -v - 191 + 718. List the prime factors of v.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63896.70234 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.308 (b) -1\/2 (c) -5 (d) -204 (e) -1 (f) -0.3 (g) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 2724144.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6839 + -6834. Solve 0 = 3*m + z*h + 1, -5*m = -m - h + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131253963*n**2 - 865927213.\nAnswer: -262507926*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + -3. Let g = 26 + x. Suppose -3*c + 1685 = -0*p + 4*p, 850 = g*p + 4*c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + g + 27. Is 16 a factor of y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 7*d - 6*d + 83, -16*i + 6*i + 2*d = -13*i + 4*d - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1884542.98 - 141567.\nAnswer: 1742975.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 11001?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 2. Let b = 25 - 17. Let i = 5 - b. Determine l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**4 - 1395209*w**3 - 38838*w**2 - 186*w wrt w?\nAnswer: 48*w - 8371254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/16 + (-12)\/(-8). Let m = 3 + 0. Suppose 5*r - 21 = 2*l, j*r - 4*l = m*r + 9. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 7*k**5\/60 + 22*k**2. Let t(h) = -h**2 + 2*h. Let d(f) = -5*f**2 + 9*f. Let q(l) = 4*d(l) - 18*t(l). Give o(q(i)).\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/9 - 250*f**3\/9 - 2324*f**2 - 592454*f\/9 - 571787\/9 = 0. What is f?\nAnswer: -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 5, -21, -13, 3, -4 in decreasing order.\nAnswer: 58, 5, 3, -4, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13606 - 6318. Calculate the common denominator of 39\/14 and r\/1008 + 2\/(-7).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/14)\/z**(1\/19)*z**(-17)\/z**(-6\/13) assuming z is positive.\nAnswer: z**(-57619\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4166 + -2?\nAnswer: -4168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -248 (c) 8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31297*t**4 - 36*t - 353 wrt t.\nAnswer: 375564*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 11*x**6\/60 + 11*x**4\/8 + 34*x**2. What is the second derivative of v(t) wrt t?\nAnswer: 132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 14*h - 54. Let j = 2.29 - 0.29. Let z = -107\/3 - -35. Which is the third smallest value? (a) h (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19801 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: Simplify ((q**(-1\/3))**14)**(-33) assuming q is positive.\nAnswer: q**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 6 - (-60 + 51).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhhvwoohwwwohvhvw. Give prob of picking 1 h and 1 w.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/(6*12\/1224).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 9*r**2 + 9*r + 10. Let w(y) = -y - 11. Let v be w(-3). Calculate q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 times 0.09?\nAnswer: 14.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0, -40?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6322)\/(-580) + (-2)\/(-20). Let j(v) = -s*v + 8*v - 4*v - 9*v + 32*v. Let z(g) = 18*g. What is z(j(a))?\nAnswer: 288*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 0.2, -1, 38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 20*h - 96. Sort 64, h, 1 in descending order.\nAnswer: 64, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0452309 rounded to 4 decimal places?\nAnswer: -0.0452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1383606 and -65\/27522.\nAnswer: 15219666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 9 - 33 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 932961659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 + 1?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 + 2309 = 2*u. Let q(j) = -j**3 - 16*j**2 + j - 272. Let p be q(-17). Suppose -x + u = -p*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/119844 and -41\/9712.\nAnswer: 290981232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 + (-10912)\/(-256))\/((-6)\/16).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - j**2 - 588*j - 579*j + 1167*j + 30*j**3 to the form d*j**2 + c*j**3 + z*j + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -13 - (-3 + 0 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 8\/11, -0.8, 2, 1.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 33*c - 89. Let k(l) = l**2 - 16*l - 45. Let b(g) = -5*k(g) + 3*m(g). Suppose b(d) = 0. What is d?\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 36176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1515757 rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 737.\nAnswer: 2\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 125516 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 16*j**2 + 8*j + 1. Determine x(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 f when three letters picked without replacement from {t: 1, f: 3, o: 3, y: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4\/5 - 126*p**3\/5 - 24*p**2 + 126*p\/5 + 123\/5 = 0.\nAnswer: -41, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/7)\/(-67*37\/(-17353))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46260*g**2*x - 206*g*x - 263*g wrt g.\nAnswer: 92520*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -64, -4, -11 in decreasing order.\nAnswer: 1, -4, -11, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-4) + 3*(-11)\/132. Find the third derivative of -10*x**o - 45*x**6 + 31*x + 0*x**5 + 8*x**2 + 2*x**5 - x**5 wrt x.\nAnswer: -5400*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -64, -106, -168, -250, -352, -474?\n\"Answer: -10*l**2 + 8*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5943 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 367366316370 minus -0.33?\nAnswer: 367366316370.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 10:22 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(10\/(-15) + 0). Let z be -2*4\/77 - y\/11. Which is the closest to -0.1? (a) -4 (b) z (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 53. What is c(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c + 11*c - c**2)*(2*c + 2 - 3 - c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162*d = 641*d - 638*d + 16688 + 43580 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(2*q**2 - 2 + 2) - q**3 + 8*q**3 - 6*q**3 - 13*q**2 - 2*q**3 + 1 + q**3 + 18*q**2.\nAnswer: -2*q**3 + 5*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -3, 0.1, -4 in decreasing order.\nAnswer: 1\/7, 0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 13*h**2 + 306806. Let w(r) = -2*r**2. Give z(w(y)).\nAnswer: 52*y**4 + 306806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 982721.1t in grams?\nAnswer: 982721100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Suppose -s + h - 2 = 0. Solve s*w - 13 = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -185 + 255. Let x = -20 - -24. Suppose f - 71 = -x*m, 36 - 95 = -3*m + 5*f. Calculate the remainder when s is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - 37*o**2 + 226*o - 451. Calculate f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/((-380)\/(-456)*3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -35. Solve -10*k = y + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-180)*(-60)\/28.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -26*m + 49. Suppose 75 = 3*w + 2*w. What is the greatest common factor of w and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 2 + 2 - 5*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1091329, 2182644, 3273947, 4365232, 5456493, 6547724, 7638919?\nAnswer: 8730072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-132)\/99*3\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d**3 + 297922255*d**2 - 238337816*d + 47667564 = 0 for d.\nAnswer: -11916891, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000015707209 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwbbbbfnbb. What is prob of sequence nwbb?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/(-4))\/33*220\/4675?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/3, -2.\nAnswer: -2, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-16)\/(-6)) - (-3393)\/104. Let d = 2.015 - 0.015. Is k less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 31*h**2 - 66*h + 129. Let d be b(2). Let p = -15 - 61. Let w be 4\/28 + p\/(-7). Calculate the highest common divisor of d and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113078236?\nAnswer: 2, 28269559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f - 4*a + 9679 = 0, 4*f - 5*a = 12864. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (110 - 0)\/((-80)\/(-96)). Calculate the greatest common factor of j and 912.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -590, -1554, -2914, -4676, -6846, -9430?\n\"Answer: -n**3 - 189*n**2 + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-3))\/(4\/10). Let r(c) = c**3 - 5*c**2 - 1. Let l be r(5). Is q\/(5\/74)*l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 103*l**2 + 2318*l + 12. Give s(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.600149 millilitres in litres?\nAnswer: 0.004600149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*p - 1 = 0, -4*k - p = -25 + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(2\/(-16)). Suppose 0 = g*j - 22 - 2. Suppose -s + j = -1. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = -26*h + 61*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, -1028794, 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827329 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: What is the ten thousands digit of 44350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118660, 118670, 118680, 118690, 118700, 118710?\n\"Answer: 10*i + 118650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2022 - -121511?\nAnswer: 115445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1111 and -172.\nAnswer: -191092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 18*l + 6. Suppose 2*k + 4*k - 497 = -491. Calculate b(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 102178215649.2.\nAnswer: 102178215649.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -6. Suppose -w - 24 = w. Is 12 a factor of (-2)\/s*w*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k**2 + 4*k - 21. Let c(b) = b**2 + b. Let z(x) = 6*c(x) - d(x). What is the remainder when (18\/45)\/((-2)\/(-410)) is divided by z(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8691 + 8707. Solve 13*j = 21*j - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 3*w**2 + 2*w - 5. Let s be x(-4). Let j(d) be the first derivative of 2*d**3\/3 - d**2 - 4*d - 50. Give j(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 105?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 9:35 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9558 and 13009500?\nAnswer: 117085500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from {x: 2, c: 3, g: 4, h: 1, o: 1, a: 7}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 3, x: 10, i: 3, z: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j**5 + 0 + 0*j**6 + 0*j**4 + 1\/2*j**3 - 1\/42*j**7 + 5*j**2 + 0*j. What is the derivative of y(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 43. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 199 = 760. Suppose j = 3*q - 69. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 11*l**2 - 4*l + 6. Let g be q(11). Let j = 73 + g. Let s = j - -6. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 13*s - 17486 = 0. Let f = -750 + s. Is 78 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144) - sqrt(144) - sqrt(144) - sqrt(144)) + sqrt(144))\/(-2*sqrt(512)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -893 divided by 79116\nAnswer: -47\/4164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 2 - 19 + 44 + 71*f**2 - 69*f**2 + 39 to the form y*f**2 + m*f + x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1184 and 37\/128.\nAnswer: 4736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - m. Let l be f(-1). Let o = 31\/120 + -2\/15. Which is the closest to 0.1? (a) o (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (414\/184*(-40)\/(-135))\/((10\/(-42))\/(-1)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 4*t + 4*t**2 - 31.\nAnswer: 4*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 679052589.3 - -4.\nAnswer: 679052593.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21674 + -21640. What is the lowest common multiple of 1076 and s?\nAnswer: 18292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:52 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28518 by 1.\nAnswer: -28518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -n + 248. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + r + 6 = 0, h - r + 4*r = -8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (41 - 19) - (-8 - (-3 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = -0*l. Let y = 78 - 77.6. Which is the third biggest value? (a) l (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -0*o, -21 = -3*a - 3*o. Suppose 0*i - a = -2*i. Suppose 0 = -i*d - 0*d + 8. Is 2 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, y: 2}. Give prob of sequence ddyy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43550986000 rounded to the nearest one million?\nAnswer: 43551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*s - 4*s. Let a(h) = s*h**2 - h**2 + 8*h**2. Let i(r) = -2*r**2. What is i(a(j))?\nAnswer: -162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 35*t - 255. Let a be h(7). Let x(f) = 120*f - 116. Let d(o) = -241*o + 232. Let y(q) = a*x(q) - 4*d(q). What is the derivative of y(m) wrt m?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/660 and -17\/330?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22682900 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times 1180745?\nAnswer: 2479564.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-28)*p*p)\/p)\/p)\/p)\/(p\/p**(10\/7)) assuming p is positive.\nAnswer: p**(199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/10 - (-32597)\/(-2))\/1. Let j = y - -32330. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28461, -29900, -31339?\n\"Answer: -1439*b - 27022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1110100?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -326. Suppose 2*i + 8*y = 12*y + d, -3*y = -5*i + 678. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1321 - -1401. Calculate the greatest common factor of k and 4560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -49, 1053, 0.5, 2\/9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -216*r - r**3 - 28*r - r**2 + 1 + 245*r. Let p(g) = g**3 + 2*g**2 + 4*g - 2. Determine p(t) + 2*z(t).\nAnswer: -t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1575.68512 to the nearest ten.\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15285662 greater than or equal to 15285661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0 (c) -13757 (d) -2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 - 252.2. Which is the closest to -2\/5? (a) 3 (b) k (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48611177.2 rounded to the nearest 1000?\nAnswer: -48611000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2798261\/117 - 23921. Let k = -16\/9 - f. Factor -k + 16\/13*j - 2\/13*j**2.\nAnswer: -2*(j - 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 43*q + 4. Suppose 0 = -2*r + 2*v + 16, 6 = 2*r + v - 1. Let f be m(r). Suppose -n = 2*n - f. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**2 + 20*d**2 - 4*d**2 + 15*d**2. Let v(i) = 71*i**2. Give v(x(s)).\nAnswer: 44375*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 422*t**3 + 79*t**2 + 149570*t wrt t?\nAnswer: 2532*t + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859390.4ml to litres.\nAnswer: 859.3904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/25776 and -139\/25776.\nAnswer: 25776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 18*z - 130. Let w be n(8). Let p(f) = w*f**2 + 6*f**3 - 6*f - 8*f**2 - 3 + 9. Let c(m) = -m**2 + m - 1. What is 6*c(j) + p(j)?\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8120225 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -50. Let x(g) = -g**2. Let m be x(0). Suppose 2*d + 3*d - 20 = m. Calculate the highest common divisor of d and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/12 - 5*p**3\/2 - 7*p**2 + 2*p. Let i be -1 + -2*9\/2. Is a(i) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 5*n**2 + 9*n - 4. Let q be s(6). Let a = -7 + q. Suppose -2*w = -4*w + 4. Solve w*m = a*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + m = 6*m + 8, -8 = -4*t + m. Let d be -5*(t + -3)\/1. Solve -5*i + d = k, -2 + 5 = 3*i - 3*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 275489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 4*a - 26. Let r be f(-8). Let x(y) be the second derivative of y**4\/6 - 4*y**3\/3 + 3*y**2 + 55*y. What is x(r)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 9 (c) -3 (d) 0 (e) 2360 (f) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 12*u - 14. Suppose -2*q - 3*q - 50 = 0. Let z be l(q). Solve 0 = -4*x + 2 - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11 - 10)*(-2 - 0))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 less than or equal to 656\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 9*n**2 - 8*n - 15. Let y = -5 + 12. Is h(y) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q + 18. Let s be (-6 - (0 - 3))*(-143)\/(-33). Let f be v(s). Calculate the highest common factor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 855, 1285, 1715, 2145, 2575?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 22223464\/104 - (-4)\/(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 78076*n - 3981871. Give u(51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4865907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 6) + 3 + 0. Let c(u) = u - 289. Let h be c(w). Let b = -97 - h. Is b a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r + 3, 2*k + r = 3. Suppose k*y + 12 = 14. What is the lowest common multiple of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1.21?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (21 - -4) + -28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419*p**2 + 431*p**3 + 67*p**3 - 64*p**2 wrt p?\nAnswer: 2988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1610996477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {c: 7, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -55461 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 76610, 76586, 76558, 76526?\n\"Answer: -2*i**2 - 18*i + 76630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 3*i + 5. Let c = 7 - 3. Determine b(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -105?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -16, -8, 16, 62, 136, 244?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 562*h - 567*h. Solve 21*c = h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 12*z - 10. Calculate the least common multiple of j(10) and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4010342 (base 5) to base 4.\nAnswer: 33123312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 3*p**2 + 3*p. Let s be 4\/(-5)*(0 + 5). What is the units digit of m(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*g - 7*a + 1434, -5*g - 5*a + 1790 = 0. Calculate the highest common divisor of 45 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, 36, 162, 374, 702, 1176, 1826?\n\"Answer: 5*z**3 - 2*z**2 + 41*z - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 884 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*k - 177, 5*k - 3*k - 3*v - 80 = 0. What is the remainder when k is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 1:10 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eebbbbqbsbbess. Give prob of sequence bsq.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4180 - 5*q - 4180.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v + 15. Suppose 0 = w - v*w + 8. What is the second derivative of 0*t**5 + 10*t**w - 10*t**4 - 2*t**5 + 3*t wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506*o = 89*o + 3336. Solve -2*p + 21*v - 17*v = o, -8 = -p - 4*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + 12. Let k = 654618.545 + -654584.5449999. Let g = p - k. Round g to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 9 - s**3 - 3*s + 9*s**3 + 86 + 12*s**3 - 95*s**2 = 0. Calculate s.\nAnswer: -1, 1, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/50163 and -23\/78.\nAnswer: 1304238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - g**3 + (4*g - 2*g + 0*g)*(2*g**2 - 1 + 1) + (-3*g**2 + 3*g**2 - g**2)*(9*g - 7*g - 3*g) to the form u*g**2 + y*g + t + w*g**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 635, 55.\nAnswer: 6, 55, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (-10 - -6). Solve 4*y + h = 4 - 25, -5 = -n*y + 5*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -4\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -48 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 a factor of 1808304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2. Let u(v) = -71*v**2 + 173*v**2 + 235*v**2. Calculate u(o(k)).\nAnswer: 3033*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p - p)*(2*p - 1 + 1) - 3*p**2 + 7*p - 7*p + (1 - 2 + 0)*(5*p - 6*p**2 - 5*p) - 3*p + 3*p - 2*p**2 in the form a + d*p**2 + q*p and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s, -3*s + 20 = -5*i - 0*i. Does 7 divide (i\/6)\/((-14)\/483)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 1) + -9 + 3 - (13 + -3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 298b7?\nAnswer: -298b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4536*t + 69 = 4539*t. Suppose -l - 4*y + y + 22 = 0, -3*l - 2*y = -31. Is l < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48976214 is divided by 9795241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9834)\/8046)\/((-4)\/18).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-30) + (-463)\/(-5). Let g(d) = -p*d - 96*d + 184*d. Let v(u) be the first derivative of u**2\/2 - 1. Give v(g(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 429112927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3 - 76*l**2 + 2*l + 76 = 0?\nAnswer: -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 30.3.\nAnswer: -2.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1598, 2\/103, -4?\nAnswer: -0.1598","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*p - 85*p + 4*f = 17, 2*p = 5*f - 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 94*z + 4*z - 179*z + 54*z to k + g*z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -96.7. What is the nearest to -0.06 in f, 1, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/131 + 647\/524. Let u be (1 + (3 - -4))\/(-2). What is the second biggest value in -5, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 1. Let f be w(-1). Let d = 9 - 5. Solve f = m - d + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98751*r**3 + 13291*r - 2 wrt r?\nAnswer: -592506*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69\/(-4) - 18\/24. Let q be 3\/(-9) + (-1122)\/t. Calculate the remainder when q*((-6)\/4)\/(-3) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111792864 is divided by 1916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46437835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (7 + -5 - -5) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8761 less than -9201051?\nAnswer: -9192290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -53. Suppose -v*j + 180 + 289 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 5*p = -12*k + 11, -3*k + 7 = -2*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897662?\nAnswer: 2, 139, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3)\/(2\/21). Suppose -5*s - k + 40 = -2*k, -s - k + v = 0. Suppose -2*o + s = -3. Is 5 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -12*o + 87. Calculate the highest common factor of 203 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 76 - 236. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}