diff --git "a/data/dm_maths/full_data_1/1199_11255.jsonl" "b/data/dm_maths/full_data_1/1199_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1199_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the lowest common multiple of 77854 and 1400?\nAnswer: 7785400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 11}. What is prob of sequence eff?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7265 grams?\nAnswer: 726500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 2*w**2 - 4*w. Let g be v(3). Let f(q) = q**2 - 7. Let h be f(g). What is the highest common divisor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 16*k**2 - 34*k + 293. Let h be y(17). Solve -5*d = h*o, 25 = o - 0*o - 5*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1678975*h**2 - 202267*h**2 + 290632*h**2.\nAnswer: 1767340*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624 and 528?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 82.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 1590*y**2 - 8487*y + 890769. What is v(1585)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -13*p**5 - 5581*p**4 - 663006*p**3 + 3887028*p**2 + 3316664232*p + 9897557184 = 0.\nAnswer: -162, -3, 776\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.359 minus 26147564?\nAnswer: -26147598.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1511021?\nAnswer: 1511012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 18\/3) + 6. Suppose -3*o + 9 = -5*k, -4*k + 9 = -b. Solve -3*v + 4*u - o = 0, -3*v - u - 13 = -6*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 11 - 35)*(-1542 - 1478 - 7*z + 4444 - 1500) in the form k + o*z and give o.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3909906 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0871 - 0.1129. Let g = -1.49 - -1.99. Let l = -0.04 + -2.96. Which is the biggest value? (a) g (b) -0.1 (c) l (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.16029?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let j be i(-3). Suppose -j*p - p = -5. Let d be -5*3\/12 + p. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79986 divided by 946.\nAnswer: 39993\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67293.05683 rounded to the nearest 1000?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by (57\/4)\/(7\/(1540\/33))?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1147 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1061056, 2122110, 3183164, 4244218, 5305272, 6366326?\n\"Answer: 1061054*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**4 + z + 4*z - 7*z**4 - 3*z**3 to the form s*z + v*z**2 + q + o*z**4 + i*z**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26438, 53488, 80538?\nAnswer: 107588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490524, -490452, -490332, -490164, -489948?\nAnswer: -489684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((198\/(-4))\/(-11))\/(15\/40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*y + 827 = 218 - 57 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-18)\/36*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 170 = v. Suppose -5*w + 12*w - 154 = 0. What is the remainder when v is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -2.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 56 = -3*a + 4, 4*q - 16 = 0. Let m = -21 + a. Suppose k - w - 31 = -6*w, m*w + 165 = 3*k. What is the highest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - 1) + 37 + -54 + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a = -21*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 2:36 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*o - 44, -3*u + 2*o + 32 - 4 = 0. Let c = -43934 + 43917. Let f(z) = 6*z - 3. Let t(b) = 2*b - 1. Calculate c*t(l) + u*f(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -1.685?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8823.1 + 8823. What is the closest to 9 in 2, -61, g, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/11, 3.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -210?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 42*k**2 - 403*k + 57. Give x(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {z: 1, k: 5, p: 1, l: 1, o: 2, h: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -130727*z + 67455140. Determine i(516).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**3 - 79*v**2 + 8*v + 34. What is the tens digit of s(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6321 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/24)\/1*(544\/(-340))\/((-536)\/(-60))?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8) + 14\/4. Solve g - 3 = -5*c - g, 4*c = -s*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*y = 29 - 37, 4*y + 15 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4574*o**2 + 4574*o**2 + 72*o**5 + (-4*o**4 + 3*o**4 + 2*o**4)*(0*o - 2*o + 4*o) + (2*o**2 + 2*o**4 - 2*o**2)*(-5 + 5 - 4*o).\nAnswer: 66*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 171*d - 29*d = 57*d - 144*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -2799 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895824924 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 935, 925, 913, 899, 883, 865?\n\"Answer: -g**2 - 7*g + 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*d + 23*d**2 - 52*d - 57*d - 21*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53\/5 of a meter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -8, -178, 6 in increasing order.\nAnswer: -178, -8, 2, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400 is divided by 2767?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1308096 by 9084.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -268 (c) 23 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 3*u**2 - 7*u - 6. Let n be q(-4). Let t be (54\/45)\/(n\/(-80)). What is the units digit of 2958\/(-68)*(t\/(-6))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a297 - -2ac?\nAnswer: -89cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 2*l**2 + 2*l**3 + (l + l - 3*l)*(5149*l - 51*l**2 - 5149*l) as t*l**2 + s*l**3 + c + h*l and give s.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 - 11444*v**2\/7 + 19405632*v\/7 - 1469129472.\nAnswer: 2*(v - 3178)*(v - 1272)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let a(k) = 36*k. Calculate -2*a(v) + 54*n(v).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12540, 26882, 41228, 55578, 69932, 84290, 98652?\nAnswer: 113018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3)*l*l*l)\/(l*l*l*l**(2\/7)\/l*l)*(l**(-2\/3))**50)**(-1) assuming l is positive.\nAnswer: l**(748\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, -123, -355, -503, -465?\n\"Answer: 17*p**3 - 111*p**2 + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 2, 960, -2 in decreasing order.\nAnswer: 960, 2, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, c: 1, w: 3, e: 1}. What is prob of sequence qzw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*a - 2*a + 25, 4 = 4*a. Solve -7*m + p = -19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/9398 - 9389\/28194. Which is the nearest to -0.1? (a) 5\/9 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + 0.37. Let o = 0.6 - 3.6. Let k = o + 3. What is the biggest value in n, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -32, -48?\n\"Answer: -16*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -2228.4?\nAnswer: -2228.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6902703 and 3.\nAnswer: 20708109","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/18 and -149\/66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13397*j**3 + 14975*j**3 + 1119*j**3.\nAnswer: 29491*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 1537.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(3 - (0 - -132)). Let i = x - -220. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k**2 + 153*k + 21. Suppose -5*n - y + 20 = -40, 2*n - 24 = 4*y. What is the lowest common multiple of n and p(17)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157956*v - 18*v**3 - 1157956*v.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 3)*(-5 + 5 - q) + 2*q + q - 4*q)*(5 - 5 + 2) - 269 - 366*q + 269.\nAnswer: -364*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*d + 5. Let f(o) = -5*o + d - 2*o + 2*o. What is f(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3520 and 23755380.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*l + 5*i - 202, -2*i - 498 = 5*l. Suppose 0 = 6*p + 12, -2*j + 2*p = -170 - 180. Let v = l + j. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 162627566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -557c8 + 629?\nAnswer: -5519d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 87*w**3 - 2 + 5.\nAnswer: -87*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*u + 5 = -3*v, 3*v - 5*u - 28 = 0. Let c = v - 1. What is the units digit of 7*(c + 1)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1326.98166 to one dp.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 12, 25, 42?\n\"Answer: 2*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180239574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 28.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(5 - 1)*(-36)\/2142.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*v = -0*u - 73, -2*u - 30 = -2*v. Let l = -25 - u. Let g be 16 - (l + 4) - 0. Calculate the greatest common factor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 116. Suppose 2*c - 3*b + j = 0, 4*c - 2*c + 52 = 4*b. Calculate the lowest common multiple of 33 and (3 + (-9)\/4)\/((-1)\/c).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**23*(o\/(o*o*o**(-2\/3)))\/o assuming o is positive.\nAnswer: o**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4607 + 1982 - 4044 + 4467 + 2687)*(-3*f**3 + 2*f**3 + 4*f**3) as y*f**2 + c + d*f**3 + u*f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -861*n + 858*n + 2*g + 23, 0 = -2*n - 2*g - 38 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/6, -0.02, -5, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 31*g**3 + 39*g**2 - 14*g + 59. Let l(n) = -6*n**3 - 8*n**2 + 3*n - 12. Let f(a) = 2*h(a) + 11*l(a). Find the second derivative of f(s) wrt s.\nAnswer: -24*s - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6928 = -83*p - 131848. Which is greater: p or -1671?\nAnswer: -1671","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 7*c. Suppose c*p = 2*p - 78. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*b - 14, -4*m + 2*b - 1 = -3. Let p be -6*4\/(m*12). Suppose 3*z - q = 251, -162 + 490 = 4*z + p*q. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23832121 (base 9) to base 15\nAnswer: 1053014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5878 + 1167*i**2 + 11628*i**3 + 5864 + 16*i - 1171*i**2 wrt i.\nAnswer: 69768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 6*j - 32*j + (1 + 0 - 2)*(0 - 2*j + 0))*(-3*j**4 + 4*j**4 + j**4).\nAnswer: -88*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 124, 128, 132, 136?\n\"Answer: 4*b + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orog when four letters picked without replacement from gokgkrloxlglogk?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 0.96. Let r = s + 18. Let x = 16 - r. Which is the closest to -1\/3? (a) -3\/5 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 86936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57044 and 1077856?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76697 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: Calculate the lowest common multiple of 5506568 and 269343.\nAnswer: 49559112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096052 is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 10*s - 354 - 2*s + 3*s + 179.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-12)*3*1. Suppose -2*d = -4*z - 4, 3*d = 2*z - 2*d - 14. Which is bigger: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*y - 38*y + 6*y - 71*y - 24*y - 1.\nAnswer: -216*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (2*sqrt(119) - sqrt(119))*-5)\/(sqrt(700) + 2*sqrt(700)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 522, 917, 1308, 1695, 2078, 2457, 2832?\n\"Answer: -2*v**2 + 401*v + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 304092947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 2*j + 60 = 44, j = -2*c - j - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**24*y\/(y\/((((y*y\/(y*y**(-27)\/y))\/y)\/y)\/y)))\/(y**(-7\/6)\/(y\/(y*(y*y**(12\/7))\/y*y*y))) assuming y is positive.\nAnswer: y**(19\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0 + 50*j + 1\/3*j**3 + 1\/3*j**4 - 41\/2*j**2. Differentiate m(i) wrt i.\nAnswer: 8*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1770 divide 41811621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**3 + 40*x**2 - 50*x + 46. Let i(k) = -3*k**3 - 20*k**2 + 25*k - 23. Let y(t) = 9*i(t) + 4*o(t). What is the units digit of y(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-81)*534\/623.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 305 and -0.07372?\nAnswer: -22.4846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from {o: 4, d: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1692.6119171 - 1859.61192251. Let t = 0.189 - 167.189. Let j = t - o. Round j to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/29)\/(m\/((m*m*m\/(m**41*m)*m)\/m)*m) assuming m is positive.\nAnswer: m**(-1185\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 6. Let h be w(-6). Suppose -h = -4*k, 0*i = i - 3*k - 5. Suppose -5*c = -3*o - 115, 3*c - 5*o = -i + 83. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 - -203324?\nAnswer: 203411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 1104868*m\/3 + 2209744\/3.\nAnswer: -2*(m - 552436)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + 681*t**2 - 39*t - 8883. What is l(-227)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 5*i = 759, -i = 4*m + 789. Round m to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10*(-9 + 1 + 3). Let z(a) = 2 + v + a - 5. Let u(o) = 6*o. Determine z(u(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 532*w - 1305 - 291 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 13*d + 3. Let s be z(13). Solve -3*u + y + s + 5 = 0, 2 = -y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c**(16\/3)*c)\/c*c**(-28)*c**22\/c**(-2\/3) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/9)\/(89\/((-129762)\/(-81))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-16866))\/(-1 + 2). Is r > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 + 103 = 2*s. Let n = 263 - s. Solve -27 - 5 = -n*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 20*b + 21. What is the least common multiple of 39 and x(8)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814808.\nAnswer: 2, 179, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 27 = 3*w, 37*w - 29*w - 72 = -3*p for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -287 or -4875\/17?\nAnswer: -4875\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -0.1, 0.2, 1.81?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859147 (base 12) to base 10.\nAnswer: 2110087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + w**2 + 4*w + 3. Let v be r(-3). Suppose -5*b - 17 = -2*k - 72, 5*k = 4*b - v. Let z(d) = 4*d - b*d + 2*d. Let g(x) = x. What is z(g(m))?\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2. Let n(g) be the third derivative of 0*g**3 - 1\/60*g**5 + 155*g**2 - 2\/3*g**4 + 0*g + 0. Calculate n(x(u)).\nAnswer: -4*u**4 - 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -31. Let a be (3\/(-2))\/((-5)\/l*-3). Suppose 0 = -0*u + u - a*v - 68, u - 2*v = 56. Calculate the greatest common factor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*a + 3*a. Do -23 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 3. Let x be n(4). Does 15 divide (0 - -2)*(-119)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 962, 965, 968, 971, 974, 977?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432042, -864087, -1296128, -1728165?\nAnswer: -2160198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329 - -718. List the prime factors of b.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84.4 + 82.4. Let z = 1 + -1.94. Let v = -0.06 + z. What is the closest to v in g, 4, 4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039, -2069, -3077, -4063?\nAnswer: -5027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37, -1446, -3791, -7066, -11265, -16382?\n\"Answer: l**3 - 474*l**2 + 6*l + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + 1920\/(-90))*(-4)\/((-28)\/3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1024\/768)\/(4\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656015539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 12*h - 22. Determine p(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3\/4 - 4689*s**2\/4 - 14121*s\/2 = 0. Calculate s.\nAnswer: -6, 0, 1569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*u**2 - 12 - 25*u**2 + 74*u - 74*u wrt u?\nAnswer: -40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c - 22 = -17*c + 404. Let n be 1\/(1\/(-1))*-3. Solve 5*w + 13 = n*m + w, -2*m - w = c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5 + 0 - 4*l - 1. Suppose -w - 4*w = -2*o + 22, 0 = 2*w - 2*o + 4. Give i(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/4)\/((-6)\/(-4)). Let i be 2\/5 + q\/(-5). Suppose i = -j + 1, -j - 54 = -5*c - 0*j. What is the remainder when 19 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p + 6. Let w be p\/(3 - 219\/75). Let f = 40 + w. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.598 + -5.508. What is the third biggest value in 0.2, j, 1\/2, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a factor of 2357584243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/3, -2, 21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 + 9*m - 8. Let s(d) be the first derivative of d**3\/3 + d**2 - 2*d - 8. Determine -18*s(k) + 4*v(k).\nAnswer: 2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 410\/(-6) + (-6 - -3). Let j = g - -72. Is j <= 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2720 = -10*t + 2*t. Let d be 4\/(-6) - (-550)\/(-3). Let y = d - t. Round y to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 a when four letters picked without replacement from {a: 5, k: 1, e: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 34*t**2\/5 + 6608*t\/5 + 114464\/5.\nAnswer: -2*(t - 73)*(t + 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, c: 1, a: 1, v: 2}. Give prob of sequence cvgg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8663 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 13 + -7 + (-5 - 27) + 91?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -148, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2 + 10*b - b**2 + 1 - 1 + 3. Let p(m) = -m**2 + 9*m. Let g(j) = 6*p(j) - 5*z(j). Let y be g(4). Sort -1, y, -3 in ascending order.\nAnswer: y, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*j + 3*j + 2*i, -5*i = 3*j + 8. Let z = 4 + -1. Put j, 0, z in ascending order.\nAnswer: j, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 + 0 - 4)*(-1 - 2 + 4) - 2 + 1 + 2 + 13 - 39 - 43)*(-3*l + 3*l + l**3) in the form y*l**3 + w + a*l + c*l**2 and give y.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**7\/840 + f**6\/240 + 3*f**5\/80 - f**4\/48 - f**3\/3 - 9*f**2 + 2. Determine k, given that i(k) = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n. Let o(j) = -21*j**2. Give o(v(d)).\nAnswer: -2541*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 637*i**2 - 5*i + 15. Let o(x) = 956*x**2 - 8*x + 24. Let v(m) = 5*o(m) - 8*r(m). Let n(u) = -5*u**2. Determine v(n(j)).\nAnswer: -7900*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.31 - -0.69. Let b = -45.99934 + c. What is b rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69574, 68224, 66876, 65530, 64186?\n\"Answer: d**2 - 1353*d + 70926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -260 - 676. Suppose 6*a - r = 342. Let i be 2\/(-12) + (-688)\/a. Is i smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 709*b**8\/112 + b**5\/30 - 578*b**3\/3 - 1270*b**2 - 2*b. Find the third derivative of l(p) wrt p.\nAnswer: 127620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.037 in 0, -41, 5\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 9*n**5\/10 - n**4\/24 + n**3\/3 - 14*n**2 + 2. What is the second derivative of d(c) wrt c?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 25*j = 0. Suppose j = 27*w - 33*w. Solve 5*s - i + 18 = w, -4*i + i = -2*s - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 477436 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 2, s: 5}. What is prob of sequence rvr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48735723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s = -12*s - 63. Let o(q) be the first derivative of -4 + 1\/3*q**s - 1\/2*q**2 + 1\/4*q**4 + 3*q. Calculate o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 2. Let k(r) = 2*r**2 - 2. Let z(m) = 5*b(m) + 4*k(m). Suppose -2 + 6 = 2*h, 3*d = h + 4. What is the remainder when 40 is divided by z(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*t = 6169*t - 176545 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 2 + -4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/8*(-2)\/3. Let p = -48 + 50. Let b(x) = 3*x**2 - 6*x + 6. Let o be b(p). Solve r + 2 = 2*l, l - o*l + 4*r = m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -737*z + 725*z + 156 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 296722603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = 4*l - 13603, 2*l = -5*d + 22667. Let x = d + -3214. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*o - 80, 4*o - v = 3*o + 18. Suppose -52*y = 90*y - 35*y - 1070. Solve y*r - 53 = -o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002404703 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49*418\/1995*(-1185)\/(-158).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225 = -24*a - 1369 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**9)\/(a**(-2\/5)*a*a)*a**6*a*a**(1\/2)*a*a)**(13\/5))**(-6) assuming a is positive.\nAnswer: a**(-7371\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783*i**3 + 754*i**3 - 1539*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -17. Let o(h) = -h + 13. Let p be o(10). Let d be (-1 + -1)*p\/6. What is the nearest to a in 2, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 178483.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25232, -25259, -25316, -25415, -25568, -25787, -26084?\nAnswer: -26471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 52. Suppose 10*o + 36 = 7*o. Let j = o - u. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:19 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/15240 and 13\/9525?\nAnswer: 76200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from txtqqtq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 18*r - 355. Let m be s(20). Factor 10*d + 0*d + 6911*d**2 + m - 6906*d**2.\nAnswer: 5*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -122. Let c = f - -59. Suppose 0 = -2*n + 112 + c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 5, -60 in increasing order.\nAnswer: -60, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -12, 5, 30, 63, 104, 153?\n\"Answer: 4*o**2 - 3*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 25 = 2*c - 117, 5*c - 5*d - 220 = 0. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2202 + 10?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/852 and -49\/5328?\nAnswer: 378288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 8:33 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -6, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -693 or -696?\nAnswer: -693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 687375 divided by 3?\nAnswer: 229125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6.1. Let m be 9\/((2\/(-15))\/((-34)\/(-51))). Let r be m\/25 - -1 - 236\/(-270). What is the nearest to n in 1\/5, -1\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3520 is divided by 2190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1631 = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 22\/6)\/(3\/(-9))*0. Solve i = 11*p - 15*p + 12, -y - 1 = -p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 - 2) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*n + 5 + 48 - 330*n**4 + 472 - 92*n with respect to n.\nAnswer: -1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297*r**4 + 295*r**4 - 3*r**2 + 288*r**4 - r - 884*r**4 - 21 + 4*r**3 to w*r**3 + z*r + g*r**4 + v*r**2 + j and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1886 + 963. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15*54000\/600?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65736 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10046432702613.459891 + 10046026252396.46. Let w = o - -406450437. Let s = w - 220. What is s rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 762386080 by -2.\nAnswer: -381193040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8979098 to two decimal places.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 v when four letters picked without replacement from {u: 3, o: 6, v: 4}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 + 5*y**2 - 13*y - 19. What is o(6)?\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 18. Suppose -208 = -c*y - 2*z, 0 = -0*y - 3*y - z + 206. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-14))**(-6)\/(d*d**9)**11)**(-44) assuming d is positive.\nAnswer: d**8800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:47 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1498*c - 14540. Calculate r(-10).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 1833*i + 74948. Determine z(44).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k + 3. Let x(u) = -7*u - 3. Let o(c) = 6*t(c) + 7*x(c). Let s be o(-6). Is (-26)\/8 + s - 615\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -22*p. Give g(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x**2 + 56*x + 6. Calculate w(-5).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2917 is divided by 502.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 6 - 21, -5*h + 13 = -w. Let g(c) = 0*c**h - 3*c + c**2 + 5*c - c. Let z be g(4). Solve 0*f + f = 4*b - 12, 5*b = z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.19*100.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by 79.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/13 - 913\/130. Suppose 0 = 4*w - 3 - 33. Calculate the common denominator of s and w\/(-18)*(-188)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126130 is divided by 4204?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 12 + 30 = 0. List the prime factors of 6\/18 - (-305)\/i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - n + 4)*(8*n - 8*n + n)*(2 + 2*n - 2).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18612443?\nAnswer: 37, 503039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + -14928a?\nAnswer: -149298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3143647 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643741?\nAnswer: 523, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 106122 (base 10) to base 11\nAnswer: 72805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 34, 3, 494, -60 in decreasing order.\nAnswer: 494, 34, 3, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 39*y**2 - 83*y + 45. Let m be v(41). Let r(o) = o + 1. Let l be r(0). Put -2, -5, l, m in increasing order.\nAnswer: -5, -2, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 476155257.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {r: 8, v: 4, q: 2, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-1)*(8 - (16 - 9))\/2. Suppose -y - 4*a - 4 = -5*a, 5*y = 4*a - 16. Sort y, -2, d in ascending order.\nAnswer: -2, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*j, 5*q - 3*j - 21 + 20 = 0. Let p(a) be the first derivative of -5 - 2*a**q + 1\/3*a**3 - 4*a. Calculate p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 50*p**2 + 11*p - 1978. Let s(t) = -18*t**2 - 4*t + 660. Determine -4*i(m) - 11*s(m).\nAnswer: -2*m**2 + 652","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-41506)\/(-7) - (-72)\/126. Round s to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 81155970 and 4.\nAnswer: 81155974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 + 175*b - 2\/5*b**5 - 1\/3*b**3 + 5\/6*b**4 + 0*b**2. Factor y(j).\nAnswer: -2*j*(j - 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 95*s + 4. Let m(w) = -95*w - 5. What is 7*b(d) + 6*m(d)?\nAnswer: 95*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*h - 8 + 4, -4*j + 19 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -54*j**3 - 10*j**2 + 53*j + 79. Let l(d) = 19*d**3 + 3*d**2 - 18*d - 27. Let n(r) = -17*l(r) - 6*o(r). Give n(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 3, r: 4, o: 1, m: 1, v: 4}. What is prob of sequence vkv?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -3.3. What is the third smallest value in x, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -666\/7? (a) 7 (b) 1 (c) 478\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 + 174*b**2 + 220*b - 117. What is k(36)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000031 (base 5) in base 12?\nAnswer: -16116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605, -615, -635, -665, -705?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*v + 17046 = 295, -67084 = -4*y + 2*v. Is y a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -24. What is the greatest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 14, s: 4}. Give prob of picking 2 v.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.098 - 0.298. Let x = -70 + 68. Let u = 0 + -0.3. Which is the second biggest value? (a) u (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 23443142320?\nAnswer: -23443142330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312230 (base 4) in base 8?\nAnswer: 16654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/7 (b) 4\/5 (c) 2 (d) 0.02 (e) -1 (f) 159.878\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.608 - 6.378. Let c = z + -0.63. Let n = c + 6. Is -0.2 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:46 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -90788 and 5?\nAnswer: 90793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -18. Let q(s) = -2*s + 1. Let d(z) = -3*z + 1. Calculate a*d(n) + 5*q(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 6*y)*(0 + 0 - y) + (1 + 0 + 0)*(4*y**2 - y**2 - y**2) - 3*y**2 + 3*y**2 + 2*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86869*b + 86874*b = -x - 50, 5*b = x - 60 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 6 = 156 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 0.2. Let s = -64 + -294. Let z = s - -368. Put z, -0.2, -0.5, r in descending order.\nAnswer: z, r, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8189.259 months in centuries?\nAnswer: 6.8243825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 4. Determine n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2 + 1\/1). Suppose -3*t + 7 = -b*t. Let c be (1 - (-3 - -39))\/(-1). What is the highest common divisor of c and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 22. Let n be (-284)\/(-14) + (-34)\/119. Suppose -265 = n*t + 255. Let k be w(t). Solve 3 = k*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -680 + 685. Determine x, given that -9*x**2 + 60*x - 5*x**2 + 51*x - 27 + 7*x**2 - y*x**2 = 0.\nAnswer: 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 77.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10941 + -10968 - (0 + (-1 - 14))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 6*i - 2*i - 12, 5*i - 45 = -5*s. Suppose 88 = -s*h + 1464. What are the prime factors of 1\/4*4 - h\/(-2)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b. Let u(w) = 3*w + 84. Determine u(v(k)).\nAnswer: -12*k + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -519.1 + 523.1. Put -1\/4, j, -3\/16, 1\/3 in increasing order.\nAnswer: -1\/4, -3\/16, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 - 27483*k**3\/7 - 486789*k**2 - 1560339*k - 2843154\/7 = 0 for k.\nAnswer: -111, -3, -2\/7, 1423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -179 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 27*d - 28. Let m(f) = -f**2 + 27*f + 28. Let y(a) = 8*m(a) + 7*x(a). Let y(p) = 0. Calculate p.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 7*y - 60. Calculate the remainder when 315 is divided by s(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 1. Let y(s) be the third derivative of 0 + 0*s + 19*s**2 + 1\/6*s**3 - 5\/24*s**4. Let j(k) = 11*o(k) - 6*y(k). Give j(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50689 from 48.\nAnswer: -50641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 16) to base 3\nAnswer: 202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/14 + 223\/(-2). Let x be 97\/(-8) - 14\/r. Let o be (1\/x)\/((-30)\/80). Does -8 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1256 divide 765328528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767989.\nAnswer: 647, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -205*x**3 - 8*x**2 - 13*x + 12. What are the prime factors of h(-4)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdwdwidiwwiid. What is prob of sequence di?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.06 times -3?\nAnswer: 117.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5851 + 2509. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(2\/69)\/(y**(1\/2)\/(y**(-2\/7)\/y)))\/(y**(-3\/7)*y**(1\/4)*y*(y*y**(1\/2)*y)**36) assuming y is positive.\nAnswer: y**(-894697\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 3. Suppose -13 = -i - 3*n, -i + 0*i - 4*n = -17. Let j be y(i). Let g = 70 - j. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-24))\/(93\/(-496)) - (115\/(-6))\/(-5)?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/1990?\nAnswer: 3\/1990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -385 in increasing order.\nAnswer: -385, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.88 + 0.78. What is the nearest to 1 in 5, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2081 and 359827.\nAnswer: 748799987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -14. Suppose 3*a = j*n + 152, 5*n - n = -16. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -7. Solve 4*l = -2*s - 28, 5*l + 33 = s - y*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 21587515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.1 (c) -0.42 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 477. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 11*r**2 + r + 9. Calculate the remainder when g(4) is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 19. Which is the nearest to 0? (a) 1 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261 and 69368.\nAnswer: 624312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 7*b + 8. Let o be (-6 - 3)*6\/(-9). Let c be n(o). Let u(f) = -f. Let p be u(-5). Solve 3*x - 31 = 2*w + c*w, 41 = p*x - 4*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -1554\/221?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107508648*q**3 - 49*q**2 + 69084*q + 3.\nAnswer: 645051888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Let n(z) be the second derivative of z**4\/12 - z**3 - z**2\/2 - 5*z. Calculate n(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12461125*x**3 - 390559*x**2 - 4*x.\nAnswer: -74766750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 7*j - 7. Is t(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 - 7 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552107.856 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 211, 845, 2113, 4225?\nAnswer: 7391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 15 - 9) + (12 - (0 - 1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 74 (b) -0.5 (c) -3\/5 (d) -0.02 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/62?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.11 - -12. Let d = 0.11 - 0.1. Let m = n + d. What is the closest to m in 4, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.1769 centuries to months.\nAnswer: 698612.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -5, -174, -1.\nAnswer: -174, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153\/7 - 22. What is the closest to -0.1 in k, 0.5, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1875 and -3.2479?\nAnswer: 1871.7521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwwp when four letters picked without replacement from wwpwwwwpwpw?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 998119, 3992527, 8983207, 15970159?\nAnswer: 24953383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k. Let u = -56 + 64. Let i(y) = -2*y - u*y + 5*y. What is a(i(w))?\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9416171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8415074879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*q**2 + 7 + 2 - 9 - 188*q**2.\nAnswer: -307*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276368\/136255 - -1\/3893. What is the common denominator of 19\/40 and q?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1187533815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -6 + -4 + -2 + 7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 14*a - 39 = 0. Calculate the greatest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 342 + 318 = -2*h, -12 = -h + 137*y for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -4, 5 in descending order.\nAnswer: 30, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/479, 2\/7, 69 in ascending order.\nAnswer: 2\/479, 2\/7, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2. Let j(g) = -121 + 121 + 17*g - 62*g. Give b(j(a)).\nAnswer: 2025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1203*z + 75032. Calculate a(63).\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p. Suppose -5*x + 3*q + 2*q = p, 10 = -2*x + 4*q. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/110 and -107\/612860?\nAnswer: 6741460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.797 - 3.417. Round l to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1173)\/297 - -2)\/(1\/(-3)). Let h = t + -90\/11. Is h > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12587\/69168 + 1\/6288. What is the closest to -2\/3 in -2\/13, y, -337?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)\/(x*x**6*x))\/(x*x\/(x*x**0))**(-37))\/((x*x*x\/(x\/(x**0*x))*x)**(-9)\/((x*(x\/x**(-1\/11))\/x*x)\/(x\/(x**1\/x)))) assuming x is positive.\nAnswer: x**(2159\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.48 < -0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*s = -360 + 2135, s = 2*k + 1167. Which is greater: -581 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose -m*s - 3*p + 9 = -25, -4*p + 92 = 5*s. Solve 45 = -4*o + 5*v, -o + s = -0*o + 5*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -g - 5*y, 0*y - 6 = -3*g - 4*y. Let i = -7 - g. Let j(l) = -l**3 + 2*l**2 + 2. Let w(k) = -2*k**3 + 5*k**2 + 5. Calculate i*j(p) + 2*w(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -8*s + 11718. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -42*b + 12 - 17 + 13*b. Let o be f(-8). Suppose 5*c - 2*s - o - 53 = 0, -5*s = 2*c - 112. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*m**3 - 81*m**3 + 164*m**3 + 4*m**2 - 4*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21547890 and 15876?\nAnswer: 905011380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58454824 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d + 7. Let r be m(0). Suppose 3*k = 4*f - 124, 0 = 2*k - r*k - f - 222. What is k rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2577*l - 68*l + 64*l to the form q*l + w and give q.\nAnswer: -2581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 - 159*m + 159*m - 2*m**2 - 3*m**3 + 2*m**2 - m - m**3 + m + (1 + 2 - 4)*(-4*m**3 + 3*m**3 + 2*m**3).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (96 - 65 - -69) + -95?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 32*n**3 + 29*n**2 - 25*n - 6. Let r(s) = 85*s**3 + 86*s**2 - 75*s - 16. Let g(u) = 8*j(u) - 3*r(u). What is l in g(l) = 0?\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12*i + 10 = 0. Let r(m) be the first derivative of 7*m**2\/2 - m + 1. What is the units digit of r(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) -3 (c) 135 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 1 - 1)*(-l + 4 - 4)*(-1 + 0 - 1)*(5 + 3*l - 5) + 0*l**3 - l**3 + 0*l**3 in the form v*l**2 + j*l + z*l**3 + a and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:44 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 73*z - 69*z, 3*z + 19 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 6 = 2*n - u, 30*u = 487*n - 482*n + 100 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92245590 by 30748530.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9763559km?\nAnswer: 976355900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1365848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/14)\/d**(4\/9)*d**(-1\/4)*d*d**(-2)*d assuming d is positive.\nAnswer: d**(-193\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/165)\/((-1)\/(-6))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 520 = -2*b + b, -2*b + 1010 = 4*v. Calculate the highest common divisor of 45 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 7 + 24 - t)*(-8 + 6*t + 8).\nAnswer: -6*t**2 + 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v = -361*v + v + 29120. Solve v*a - 17 = 68*a + 3*j, 0 = 5*j + 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g**2 - 1. Let n be ((-35)\/(-14))\/((-1)\/(-2)). Let p(o) = -n*o**2 - 2*o**2 + 13*o**2 - 5*o**2. What is h(p(v))?\nAnswer: 14*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 5*r - 67. Let y be j(6). Solve 5 = -6*m + y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 29. Let i = -2 - 7. Let s = i + x. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*s + 5*d + 112, -3*d = 4*s - 279. What is the greatest common divisor of s and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/18 and -73\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 44 - 319 = -j, 2*j = -h + 726. Let w be ((-138)\/15)\/(2\/(-10)). Suppose i = j - w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139321 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Suppose 3*u - 6 = 0, -5*j + 5*u - z*u = -51. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4*f = -4*c + 54, -4*c - 3*f + 53 = 0. Let x(i) = i - 2. What is the units digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-4 - -6 - 6) + 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 3}. What is prob of sequence gu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6 and -113\/294602?\nAnswer: 883806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -1 - 11 - -3. What is the remainder when ((-4)\/3)\/(h\/369) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((3 - 2)\/1). Suppose -35*c = -39*c + 12. Suppose v = -3*b - t + 155 - 15, c*b = t + 148. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/551710 and 11\/185.\nAnswer: 20413270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -1338\/17 (c) 104 (d) 2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*n*n\/(n\/(n\/n**(9\/4))))**47 assuming n is positive.\nAnswer: n**(-329\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 12:30 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 169. Suppose -p - 14 = -8*m. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3547*z**2 + 1 + 3546*z**2 + 5 in the form w + v*z**2 + k*z and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**4 + 5*b**3 - 15*b**2 + 5. Let g(p) = 3*p**4 - 4*p**3 + 15*p**2 - 4. Let o(y) = -5*g(y) - 4*z(y). Find the third derivative of o(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 15\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000911878502 rounded to seven decimal places?\nAnswer: -0.0009119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 5*k**4 - 2*k**2 + 5*k**3 + k - k**3 - 4*k**4 as p*k**3 + l*k**4 + t*k + u*k**2 + c and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*5\/((-420)\/(-1)))\/((-35)\/(-21))?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158593 is divided by 536?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(4*z - z + z)*(5*z**2 - 3*z**2 + 0*z**2).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2. Let i(w) = -2*w**2 + 4*w - 4. Let v(x) = -2*x**2 - 2*x**2 - x + 4*x**2 + 1 + x**2. Let z(h) = 5*i(h) + 20*v(h). Give z(p(k)).\nAnswer: 250*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011001 - 2?\nAnswer: 20010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451416053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 187*w**2 - 3*w - 5. Let g(p) = 2*p + 22. Let m be g(-12). Is u(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1740.2 - -1963. Let s = v - 208. Round s to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6*p - 3 = -16, -2*b = 2*p - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 + -4)*(-1 + 3). Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 = -b - 0*b, m = b - 3. Let p be 57\/9 + 2\/b. Suppose p*u - 8327 = 1200. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 - r + 2. Let a(s) = -27*s**2 + 5*s - 9. Let z be 392\/(-203) - (-2)\/(-29). Determine z*a(w) - 9*n(w).\nAnswer: -9*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m. Let c(u) = -1089*u - 8508. Calculate c(j(l)).\nAnswer: 5445*l - 8508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:50 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5736853 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 51*g + 51*g)*(4*g**2 - g**2 - g**2) - 2*g**4 + 4*g**4 + 0*g - 2*g.\nAnswer: 12*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*g**2 + 1 + 13*g**2 - 7*g**2 + 5 - 33*g**2 to the form d*g + p*g**2 + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -222.37 to 0 dps.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5 - 1 = 134*n. Which is bigger: 2\/14589 or n?\nAnswer: 2\/14589","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174122514?\nAnswer: 2, 587061257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 344*c - 22. Determine a(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u. Let x(k) be the third derivative of 19\/4*k**4 + k**2 + 0*k**3 - 20 + 0*k. Calculate r(x(f)).\nAnswer: 342*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 2370 = -24*j. Let u be 6\/(-4)*(-316)\/j. Sort -6, 6, u.\nAnswer: -6, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/297229307?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 + 2*l - 1. Give d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1. Let w(u) = -u**3 - 4*u**2 + 6*u + 11. Let v(z) = 6*l(z) - w(z). Let t be v(-5). Find the third derivative of m + 2*m**3 + t*m**2 - m - m**2 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224 (base 11) to base 2\nAnswer: 100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -17. Let g(m) = -10*m - 14. Let b be g(d). Calculate the highest common divisor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/142 and 143\/9136422.\nAnswer: 9136422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9221856 and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.31 from -0.01.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5938\/15 + -396. Let l = 0.1 - 0.1. Which is the nearest to 6? (a) l (b) 1\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 5, s: 9, b: 2}. Give prob of picking 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600285 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3\/3 - 126*c**2 - 856*c - 3640\/3 = 0.\nAnswer: -182, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 16058*g**5 - 26858*g**4 - 7058*g**3 + 28658*g**2 - 9000*g - 1800 = 0?\nAnswer: -1, -30\/217, 30\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(3\/9) - (-609 - -8). Let n = h + -257. Let j = 556 - n. Calculate the greatest common factor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/48837 and 28\/33974273.\nAnswer: 101922819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14279598702.97 + -12.\nAnswer: 14279598690.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2593112 and 1064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963443673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 623459\/4 equal to 155864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121075 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k + k)*(0*k - k - k) - 10*k**2 + 15*k**2 - 9*k**2 + (-k - 3 + 4*k - 2*k)*(3*k + 2*k - 3*k).\nAnswer: -6*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(132)\/((sqrt(1200) - -2*sqrt(1200)) + sqrt(1200) + sqrt(1200)))**2.\nAnswer: 11\/500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32 and 64.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 1325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 406803 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -3*g + 44. Suppose g*b - 12 = -0*b. Solve b*q + 3 + 0 = -3*a, a = 2*q - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 16*k**2 + k + 1. Let y be c(-6). Suppose y = 3*b + 4*q, 4*b - 3*q + 197 = 5*b. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 3:42 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 31*y**2 - 172*y + 1891. Give i(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8229\/88 + 739\/8. Find the common denominator of ((-4)\/(-80)*-226)\/1 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 8*m + 21 + 61 + 5*m + 4*m in the form f*m + g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 29*i + 1. Let f(j) = 143*j + 16. Let r(u) = -f(u) + 5*o(u). Let x(h) = -49*h. Determine x(r(n)).\nAnswer: -98*n + 539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1430 - 202 = -5*j + 4*o, -963 = -3*j - 3*o. Calculate the lowest common multiple of j and 252.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -59. Factor 3*y**2 + 16*y - q*y + 14*y + 7*y.\nAnswer: 3*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 23129871.\nAnswer: -1\/23129871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -30*c - 179. Let v be k(-6). Let i(a) = a + 1. Let j be i(2). Sort j, v, -4 in increasing order.\nAnswer: -4, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -30*q + 22*q. Suppose -5*k + 4 = -3*k. Suppose k*p + 4 = -2*l + 3*l, -p - 2 = 5*l. Put l, 3, q in ascending order.\nAnswer: l, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 6*c + 10. Suppose 4*x - c = -10. Let g(w) = 7*w - 1. Calculate g(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5 + 3.6. Which is the third biggest value? (a) 0.003 (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*-2*(sqrt(171) - (sqrt(171) + sqrt(171) + (sqrt(171) - -3*2*sqrt(171))))*1)**2 + 1.\nAnswer: -218879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 662 - 648. What is the highest common divisor of z and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*m**3 + 2 - 2 + 2*m**2 - 29*m**3.\nAnswer: 103*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*h + 693 = 0. Let n(q) = q**3 - 7*q**2 + 7*q - 7. Let t be n(6). Let f be ((-33)\/(-6) + t)*2. Calculate the highest common divisor of h and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 12*u - 14. Let a be q(-11). What are the prime factors of (3 + 0)*(-7)\/a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -3\/28*b**4 - 81*b + 45\/14*b**2 + 0 + 3\/140*b**5 - 13\/14*b**3. What is o in m(o) = 0?\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515404487 divided by -63031\nAnswer: -8177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -219 (b) -0.23 (c) -4\/3 (d) -1 (e) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14239170871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 41 = 0. Let u = 35 - a. Let c be (4\/2)\/((-3)\/(45\/u)). Sort c, 0, -3 in increasing order.\nAnswer: -3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237937?\nAnswer: 7, 19, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10653 + -3?\nAnswer: 10650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 95 = 392 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (15 + -20 - 11)) + 18?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/35)\/(2\/20) + 10 + -14. Which is greater: -396 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/57 and 109\/94224762.\nAnswer: 94224762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-12)\/4) + 39\/(-13). Suppose -a + 8 = 2*h, g*h - 2 = -2*a + 11. Solve 4*i + a = 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 3*y - 5*a, y + 80 = 12*a - 16*a. Let g = 71 + y. Solve 0 = p - 4*p - g*s + 3, -2*s + 8 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**3 - m + 1. Let h be j(-1). Let u = 12 - h. Solve -u*i = 5 + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81258 and 40107.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*t + t + 122, -2*t - 3*s = -209. Suppose 3*v + 76 = 2*z, 2*v + 2*v - t = -4*z. Suppose -g = -6*g - 3*a + z, g - a = 8. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 9*d**2 - d - 8. Give o(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -j - 4, -35 - 23 = 5*j - 14*y for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -1\/2*u + 1 + 1\/3*u**3 + 1\/12*u**6 - 1\/10*u**5 + 1\/4*u**2 - 1\/4*u**4. Suppose v(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -186, -169, -164, -177, -214, -281, -384?\n\"Answer: -b**3 + 24*b - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8168 and 81\/48892.\nAnswer: 99837464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 + z**2 + z**2 - 9*z**2 - 3*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 10 = -2*s - 0*y, 0 = 3*s + y - 8. Find the second derivative of 5*f - 27*f**2 - 5*f**3 + 14*f**s + 27*f**2 wrt f.\nAnswer: 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**3 + 2*i**2 + 2*i + 1. Let a(v) = -v**2 + v - 1. Let j be a(0). What are the prime factors of n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124090*c*g*l**2 - 10*c*l - c - g*l**2 - 2*g*l - 1288*g - 2*l**3 wrt l.\nAnswer: 248180*c*g - 2*g - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -0.3 (c) -0.164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s - 2*s)*(-3*s + 0*s + 4*s) + (-2*s + 3*s + 0*s)*(-38*s - 7*s + 15*s).\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 5, -5 in descending order.\nAnswer: 6, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1123 - -0.0123. Let i = -0.2 - 1.8. Let z = 3 - i. Which is the closest to j? (a) 0.5 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1942016042 and 1.9.\nAnswer: 1942016043.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 125170 - -7420?\nAnswer: 132590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 226*o - 8. Let k(g) = -g. Let h(f) = 8*k(f) + r(f). Let q be h(6). What is q rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 = -7. Let h = 7 + c. Let i(t) = 0*t**2 - t**2 - t**2 + t**2 + 5 + h*t. What is i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/9*p**2 - 1\/9*p**3 - 2 + 1\/3*p = 0 for p.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*r**2 - 2*h*r - 8*h + 28*r**2 + 3*r wrt r?\nAnswer: -4*h + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d - 0 - 54 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5336 - 275801*k + 82034*k + 5336.\nAnswer: -193767*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + 3*q**3 - 4*q**3 + (2*q - 2*q - q)*(31*q - 9*q**2 - 31*q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 5, 1, -32 in ascending order.\nAnswer: -32, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95334169757*v - 9*v**2 - 95334169757*v + 11*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*m**2 - 324*m**2 - 3 + 693*m**2 + 340*m.\nAnswer: 3*m**2 + 340*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*q - 60 = 0, -141*f + 143*f + 11*q = 151 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2, -5, -0.0246, 0.2, -0.1 in ascending order.\nAnswer: -5, -0.1, -0.0246, 1\/7, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 60733*o + 121465\/2.\nAnswer: (o + 1)*(o + 121465)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -80*g**2 - 5. Let q be c(-4). Let t = 3499 + q. Suppose 7*i = t + 166. Is i a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 193 = 17. Suppose 6*y = c + 3. Suppose -5 = -0*b - b - 2*x, -2*b = -y*x - 3. Solve -b*l - 2*l = -20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Suppose -3*j = -j. Let f = j + a. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:14 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1136140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -37*c**2 + 19*c + 86. Let q be y(-14). What is q rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 159542029 = 49*o - 32039924. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*m**3 - 303*m**2 - 312*m - 12 = 0. Calculate m.\nAnswer: -2, -1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 0.08 (c) 713 (d) 0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s - 895 = -317. Let m be (2 - 4) + (-15)\/(-7). What is the second smallest value in m, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.91 - -0.09. Let q = -4.54 + -0.46. Put g, q, -0.3 in decreasing order.\nAnswer: g, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198 + 176. Suppose 2*d + 0*d - 243 = -3*i, -3*d + 5*i = -y. Let q = -124 + d. Which is greater: 2\/15 or q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786 - 820 = 10*u - 3*l, 10*u = l + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037599577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1269 + 1275. Let v(z) be the first derivative of -h*z + 4 - 1\/3*z**3 - 7\/2*z**2. Calculate v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681940\/609 bigger than 2762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 59, 144, 271, 446, 675, 964?\n\"Answer: d**3 + 12*d**2 + 6*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -625401 or -625403?\nAnswer: -625403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(152)*-1 + sqrt(152))\/(2*sqrt(648)) + 3*-1*-2*sqrt(1539).\nAnswer: 979*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/33*6\/4. Let f = s - -2. Suppose -33 = 28*d - 31*d. What is the remainder when d is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/10*(-12)\/72*12\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*h**4 - h - 91*h**4 - 17 - h**2 + 19 - 2*h**3 to the form j*h + o*h**4 + v*h**2 + i + q*h**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*t - 5. Suppose 0 = t*k - k - 68. Calculate the highest common factor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -10, -1\/8, -8, 43, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + p**2 + 79*p**3 + 3*p**2.\nAnswer: 79*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19687665?\nAnswer: 3, 5, 29, 45259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 172\/16 + (-5)\/(-4). Calculate the greatest common factor of 84 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 29*k**2 + 26*k - 61. Calculate r(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1162041 + -3?\nAnswer: -1162044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*f + 3. Let a(z) = -3*z - 9. What is the units digit of a(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 3*q**2 + 2*q - 1. What is c(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2762 + 68?\nAnswer: -2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -249, -378, -507, -636?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1264.8239 - 0.1761. Let p = t - -1264.999337. What is p rounded to five dps?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-685 - -699) + -1 + -15 - -112?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**6\/1800 + z**5\/600 - z**3\/6 - z**2. Let t(v) be the first derivative of x(v). Factor t(k).\nAnswer: k*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*m - 8963 + 539 = -9*m. Solve -112 - 56 = m*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 75\/30*(-8)\/45. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(10\/9))**(2\/25) assuming k is positive.\nAnswer: k**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333121 + 222223221?\nAnswer: 223223002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 437, 505, 571, 635, 697, 757, 815?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*2*(-15)\/(-20). Let l(j) = j**2 - 3*j - 9. What is the units digit of l(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 337*p**9\/504 + 127*p**5\/15 + 955*p**2. Find the third derivative of i(t) wrt t.\nAnswer: 40440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 3 + 3 + x**3 - 3*x**2.\nAnswer: (x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 3*t + 2*t. Let i be t\/(-3) + 4\/(-6). Let z(s) = -s**3 + 91*s**2 - 84*s - 535. Let k be z(90). Sort 2, k, i in descending order.\nAnswer: k, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(-3 + 5). Let k(x) = p - 19*x**2 - 5*x - 2 + 18*x**2. Suppose 5 + 0 = -u - g, -2*g - 22 = 4*u. Calculate k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + u + 6. Let y(s) = s**2 + 1. What is -o(m) + 4*y(m)?\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from jmmjmmjem.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 963890917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 48, -1, 18, -1292 in decreasing order.\nAnswer: 48, 18, -1, -2, -1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q - 10. Is 10 a factor of s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10120.4*1696\nAnswer: -17164198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i + 190 = 45*i - 22*i - 17*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/8 - 1435*q**2\/8 + 5307*q.\nAnswer: -q*(q - 29)*(q + 1464)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 412 - 926?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 + 11890\/15)\/((-2)\/(-81)). Let f = u - 13604. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 5. Let s = -6 + 11. Suppose 2*j - j - s = 0. Put j, 0, l in descending order.\nAnswer: j, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.006 and 948.\nAnswer: 948.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 5*r, -3*r + 6 - 2 = p. Which is bigger: 1\/6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218239*u - 218239*u + 10*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -423 - -434. Let z(u) = -6*u**3 + 18*u**2 + 6*u + 14. Let r(n) = 5*n**3 - 17*n**2 - 6*n - 13. Let v(b) = -5*r(b) - 4*z(b). Is v(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 185413975 + r - 185413975.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 10*d**2 + 7*d + 12. Let f be x(9). Let n be f - -2 - (3 - 7). Which is bigger: 2\/1541 or n?\nAnswer: 2\/1541","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -15770523?\nAnswer: -15770520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - u + 108 + 2268 = 0. What is the nearest to -0.1 in -3, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 10:55 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 2580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -0.75. Let r = 0.05 + n. Let w = -0.1 - r. Round w to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 - -0.17. Let l = 40\/153 + -2\/51. Let t = 0.2 + -0.4. What is the closest to g in l, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 4*r**2 + 0*r**2)*(-47 + 233 + 75 + 63)*(r + 5*r - 5*r).\nAnswer: 972*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 25. What is the common denominator of -23\/21 and -4 + 360\/25 + v?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2864.2 + -2604. Let d = -290 + s. Let r = 39 + d. Round r to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1474 or 1466?\nAnswer: 1466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/358776 and 109\/114156.\nAnswer: 2511432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -315189*f*i**4 - 12*f*i**2 + 213041*f - 14 wrt i.\nAnswer: -1260756*f*i**3 - 24*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*sqrt(2100))\/(6*sqrt(108) + sqrt(3)))**2.\nAnswer: 21607\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(6\/11)*(m**(2\/5))**(5\/14))**(-4\/5) assuming m is positive.\nAnswer: m**(4\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-3\/8)*b**(1\/2)*b\/(b\/b**5)*b**(-1\/13)*b assuming b is positive.\nAnswer: b**(811\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -i + 2*q, 0 = 2*i - 2*q - 14. What is the second derivative of -48*j - 57*j**3 + i*j + 19*j**3 wrt j?\nAnswer: -228*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1580 and 726749045?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/105 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*j + 4*q, 27*j - 29*j - j - 2*q - 17 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -612, -1367, -2414, -3747, -5360?\nAnswer: -7247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25 + -1 - 8862\/422. Let b(h) = -17*h**2. Let t(f) = -11*f**2 - 22*f + 22. Let j(x) = -x**2 + x - 1. Let r(v) = 22*j(v) + t(v). What is k*r(g) - 5*b(g)?\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**2 + 32 - 34*k**2 + 20*k**2 - 61*k**2 - 32 + 234*k**2.\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x**2 - 5*x + 3. Let c(d) = 2*d**2 + 2*d - 1. What is -3*c(u) - k(u)?\nAnswer: 3*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*p = 273, 947 = 3*d + 4*p - 782 + 2002 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 13 = 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26181, 52364, 78547?\nAnswer: 104730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 345639469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 646, 1287, 1930, 2575, 3222?\nAnswer: 3871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 5. Let g(u) = -u**3 + u**2 + 5*u - 4. Let i be g(3). Let v = i + 11. Calculate f(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d - 4*d)*(15 - 5 - 3)*(-42 + 53*d**2 + 42).\nAnswer: -371*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11154915 and 1125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 950096.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -131 (b) -0.4 (c) -1\/10 (d) 397\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -1.7. Let f be 1\/1*(-16)\/24. Sort p, 1\/4, 1\/12, f.\nAnswer: p, f, 1\/12, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*u - 531 - 158, 690 = y - 3*u. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j, 0 = 5*s + 3*j - 146 - 134. Calculate the remainder when 271 is divided by s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (12 - (34 - (-13 + 6)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.27695 rounded to 2 dps?\nAnswer: -42.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2155638 - 2155633 + 4*h**3 - 2155633 + 6466904.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86047257*p**5 + 57913970*p**2 wrt p?\nAnswer: 5162835420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -105397, -54, -2 in decreasing order.\nAnswer: 5, -2, -4, -54, -105397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11943995 to the power of 1\/2, to the nearest integer?\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 292 + 280 = 0. Put 38, x, -1, 5 in increasing order.\nAnswer: -1, x, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 4*c + 0*c + (1 - 1 - 2)*(-4*c + 0*c + 5*c) - 2 + 2 - c + (-c + 3*c + 0*c)*(-3 - 1 + 3).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {q: 2, w: 2, c: 4, s: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 1, o: 1, r: 2, v: 2}. What is prob of picking 1 x and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 - -108. What is the smallest value in r, 0, -0.5, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5697479 hours?\nAnswer: 2051.09244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + 2 + (10 - 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 7*s**2 + 9*s - 8. Let m be l(8). Suppose 5*a = 3*k + 2*k + 66225, -3*a + 2*k + 39731 = m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6900?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.1 + 10.9. What is the closest to 1 in p, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -29*s - 1. Let m(t) = -89*t - 5. What is 2*m(f) - 7*x(f)?\nAnswer: 25*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*o + 87 = -73*o. Solve 5*m + 30 - 20 = s, o*s - 3*m = -6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 51. Let l(w) = 20 - 9 + 4 - w - 2*w + 19. Determine -5*c(a) - 8*l(a).\nAnswer: -a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22165\/4 + -5541. Suppose 2*l - 5 = -i - l, 0 = -4*i - 2*l + 10. Suppose 0 = -i*v + 2. Is j greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003 + 21110?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:20 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**2 + 1809. Suppose -4*f + 2*a = -2*f - 4, -f = 3*a + 14. Calculate g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 1)*(x**2 + 4*x**2 - 6*x**2) + (-2 + 4*x + 0 - 2*x)*(-2*x + 3*x - 11*x))*(x - 3*x + 0*x).\nAnswer: 42*x**3 - 40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/((v**(1\/34)*v)\/v))\/((v**8\/v)\/(v*v**(17\/6))) assuming v is positive.\nAnswer: v**(41\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6059516194.\nAnswer: 2, 283, 10705859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 42*z**2 + 2*z - 44. Calculate o(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -925.6 - -927.6. Put -0.3, r, 23, 0.2, -0.5 in decreasing order.\nAnswer: 23, r, 0.2, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 453201?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 - 53 - 51)*(0 - 4 + p + 5)*(-2*p + 0 + 0) in the form q*p**2 + g*p + f and give q.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-8) - 2*(-54)\/144.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x**3 + 61*x**2 + 37*x - 44. Let p(w) = 5*w**3 - 30*w**2 - 19*w + 22. Let n(k) = 6*i(k) + 13*p(k). What is the tens digit of n(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - 4.1. Let m = -4 - o. Let v = m + 0. Is 2 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69145 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 17460.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5 - (-216 + 271)) + (1 + 11 - 4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 323310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -93 + 1941. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 5*f**2 - 48*f - 98. Let x be y(7). Which is the biggest value? (a) x (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 41*q**2 + 86*q + 117. Calculate i(43).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*v**3 + 3*v - 3*v.\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 74*l + 59 - 204*l - 11 + 72*l + 54*l. Give q(29).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let x(a) = -a**3 - 5*a**2 + 5*a - 4. Let i be x(-6). Suppose o + 0*o - 2 = 0, -i*o + 1 = -3*h. Calculate the remainder when h is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t**3 - 3*t**3 - 2*t**3)*(18 - 2*t - 11*t + 10*t) + 6*t**4 + 399*t - 399*t as w*t**4 + b + x*t**2 + v*t + a*t**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 804\/7 (c) 5\/3 (d) -2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5\/(-2)*(100989 + -100987).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k - 4*k)*(-2*k + 2*k - 3*k) + (-2*k + 2*k - k)*(6*k - 5*k + 0*k) - k**2 + k**2 - k**2.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.8371 - -711657.8371. Let o = n + -711641.0873693. Let u = o - -0.0873. Round u to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-7)*1*2*6\/16\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127957 and 8359?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1322 - -2019. Let b = y - 389. What is the greatest common factor of 28 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 143423*c - 2 + 3.\nAnswer: -143423*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*w + 35, 23*m - 27*m + 7 = w. Put 0.6, 1\/10, -0.1, -1, m in ascending order.\nAnswer: -1, -0.1, 1\/10, 0.6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 49*p**2 - 331*p - 22. Determine d(-55).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*d - 62 - 44 = 0, -126 = -2*f + 5*d. Calculate the remainder when 229 is divided by f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-5)\/(-9) + (-13)\/(-9). What is the closest to -0.2 in 0, -39, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -17. Suppose -g + z + 25 = 6*z, 0 = -2*z + 10. Suppose g = 7*o - 749 - 315. What is the highest common factor of m and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/774 and 103\/774?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 11 + 34 = 5*m, 13 = -3*l + 5*m. Suppose -148 - 17 = 5*p. Let t be 356\/22 - (-6)\/p. What is the greatest common divisor of t and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 150174\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294 rounded to the nearest 10?\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333185223.\nAnswer: 3, 7, 757, 20959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296155, -296363, -296711, -297199, -297827, -298595, -299503?\nAnswer: -300551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i + 70 - 29*i - 12 + 2 - 16.\nAnswer: 2*i + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 - 19952*n\/13 + 32298.\nAnswer: -2*(n - 21)*(n + 9997)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2044 + 1193. Is i at least as big as -851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2420392*i**2 - 35*i**3 + 2420392*i**2.\nAnswer: -35*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(264)*-2)\/sqrt(11))\/(-4*sqrt(32)\/sqrt(4))*1 + -3) + 1.\nAnswer: -2*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*o - 4)*(4 + 76 - 15 - 1 + 0 + 2 + (-2 + 1 + 3)*(-1 + 1 - 1)).\nAnswer: -128*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*10\/(-45)*6\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-502)\/4)\/(1\/6*-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84001\/333830 + -48\/1757. What is the common denominator of j and -17\/114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-19)\/l*l*l*l**(-14\/9)\/l)\/(l**(-11\/4)\/l*l)**(-50) assuming l is positive.\nAnswer: l**(-2827\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -328903.\nAnswer: 986709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q - 5*q - 188 + 9*q - 5*q. Let u be o(-22). Let w(h) = -h**3 + 10*h**2 - 2*h - 4. Give w(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m - 17. List the prime factors of q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 148*x - 143*x - 30, 2 = 2*f. Solve 2*s = 4*t + 20, 5*s + x = -t - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 2*n**2)*(-2*n - 2*n + 5*n) + 0*n**3 + n**3 - 2*n**3 + 25*n**3 + 38*n**3 - 147*n**3.\nAnswer: -87*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 5. Let b be z(5). Let t = -9 + b. Suppose -12*y + 236 = -112. Calculate the remainder when y is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(3))*2.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - 640*l + 42 + 578*l as z + s*l and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 - 69\/(-15). Suppose 5*t - 128 = -4*s, -80 - 16 = -3*s + r*t. Suppose 2*i - 4 = 4. Calculate the highest common divisor of i and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1956 divided by -3?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - (-113 - (35 - 79)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/105 + 10*v**4\/21 + 38*v**3\/21 - 1296*v**2. Factor a(g).\nAnswer: 4*(g + 1)*(g + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y + 8*y + 103 - 5*y. Let b be -5 - (-1 - (1 - -3)). What is the tens digit of i(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqhtqqtatahqjqt. What is prob of picking 1 q and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3871, 7586, 11299, 15010, 18719?\n\"Answer: -g**2 + 3718*g + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, -79, 37, -4 in increasing order.\nAnswer: -79, -4, 0, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23224214432 - 4?\nAnswer: -23224214441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10*q = 10. Suppose 2*c + 3*u = 7*u + 8, 2*u = -c. Suppose c*l + 0*l - 12 = 0. Calculate the remainder when l is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*g + 86*g = 143*g + 349*g + 17100 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 459, 458, 457, 456, 455?\n\"Answer: -j + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652 (base 8) to base 15.\nAnswer: -1d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 64 + 5 = 0. Suppose -6 = 5*c - 16. Suppose c*y - z = 79. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274 (base 14) to base 12.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*3)\/(-2 + 1). Let c be 33 - ((-4)\/(-6) - (-10)\/w). Differentiate -2827*a**2 + 2827*a**2 - c - 35*a**3 with respect to a.\nAnswer: -105*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5)*(6*r + 10 + 5*r - 9*r) + r + r + 0*r + (0 + 1 - 3)*(0*r - 2*r + 0*r) + r - 2*r + 2*r - 7*r - 5*r + 0*r - 19*r + 6*r - 6*r.\nAnswer: -26*r - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -3*i - i**2 + 137\/6*i**3 + 0*i**5 - 109\/120*i**6 + 0*i**4 + 0. What is the first derivative of h(k) wrt k?\nAnswer: -327*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -105*z. Let s(i) = i. Give -d(y) - 140*s(y).\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbebnbbebebeebeebbb.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 3*t**2 + 2*t - 4. Let o = -3 - -6. Let k be m(o). Let h be (-2 + k)\/((-2)\/2). Which is the closest to h? (a) -3 (b) 3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 20192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9394 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7952600 to the power of 1\/2, to the nearest integer?\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/15 + 2881776*a\/5 + 3114237342816\/5.\nAnswer: 2*(a + 2161332)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19268960587431 less than 0.1?\nAnswer: -19268960587430.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 1. Let b be z(-1). Suppose -t - 4*c - c - 15 = b, -3*c = -t + 17. Suppose -s = 4*l - 11 - 0, -t = -2*l - s. Solve 0 = l*u - 0*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*z**4 + z**2 - 2 + 1677*z**3 - 1678*z**3 - 2 + 144*z**4 + 52*z**4 as x*z + r*z**3 + m*z**2 + g + a*z**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 32 = -62. Suppose f*i - 3754 = g - 2*g, -5*i + 3759 = -4*g. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521913.\nAnswer: 3, 7, 29, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 169 (base 15) to base 13\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981989?\nAnswer: 379, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5\/2 - 111*m**4\/2 + 369*m**3 + 972*m**2 = 0.\nAnswer: -2, 0, 12, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkkkmmmmm. What is prob of picking 1 k and 3 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 25. Sort -210, l, -2 in increasing order.\nAnswer: -210, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 973 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, 17, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**3 - 2*y**2 - 8*y - 20. Give c(-3).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3862.955 micrograms?\nAnswer: 3.862955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.051 - 0.351. What is the third smallest value in 2\/11, 4\/5, t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39390 and 6141.\nAnswer: 80631330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5323 - -5374. Solve 6 = l*i - 49*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 13*m**3 - 2*m - 8308 + 8308 + 3*m**4 to h*m**4 + b*m**2 + s + z*m**3 + q*m and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -743 (base 12) to base 6\nAnswer: -4523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, 871 in decreasing order.\nAnswer: 871, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703, 478, 253, 28?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 633791, 2535160, 5704107, 10140632, 15844735, 22816416?\nAnswer: 31055675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 0, 0 = -4*m - 4*j - j + 34. Does 13 divide m\/4 + 567\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-w**4 - 4*w**4 + w**4) + (-1 + 1 - w**3)*(w + 2 - 2) + w**4 - 5*w**4 + 3*w**4.\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 12 + (-13 + 6 - -1) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27501 + 27507. What is the nearest to y in -0.13, 10, 0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163344 and 5985877.\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.181162ml in litres?\nAnswer: 0.003181162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - -131029?\nAnswer: 131015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-855)\/(-125))\/57*-5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = y, -y - 5*i - 11 = -30. Suppose -5*b - y = 21, 4*n - 13 = -3*b. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -t + 551, -t - 51 + 634 = 3*q. Calculate the greatest common factor of t and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 22*o**3 - 44*o**2 + 10*o. Is j(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*j + 25, 0*t + 5 = 5*j - 3*t. Let y(g) = g**3. Give y(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 212049.\nAnswer: 1484343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47\/3? (a) -4 (b) -1.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430363 is divided by 367.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -19. Differentiate 0*u**4 + 13 - 18 - 22*u**f + 2*u**4 with respect to u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7483*j - 2765*j - 206070 = -1240*j + 676714 for j.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4656538 + -1?\nAnswer: -4656539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3493, -3183, -2873?\nAnswer: -2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 237, 421, 689, 1047, 1501, 2057?\nAnswer: 2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1260.539 - 1.461. Let r = y + 1208.7. What is r rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*q + 29 - 92, 4*q - 2*j = 36. Suppose -10*x - 90 = -q*x. Calculate the remainder when 280 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3896866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*h + 27*h + 21303. Calculate the remainder when h is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3667, -3638, -3609, -3580, -3551, -3522?\n\"Answer: 29*i - 3696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -473320 divided by -94664\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 748.62098 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 divided by -2?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*m + 173*m - 59 = 67. Calculate the remainder when 194 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20547 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/(-270) - (-3521)\/10. Let v = t - 352. Solve v = -17*q + 13*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6821551?\nAnswer: 11, 19, 127, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 42 = -2*r + 6*r, -2*u = 4. Suppose r*b = 4*b + 12. Suppose d = 5*w + 7, 5 = b*d + w - 0. Solve 3*v = 4*i - 2, -2*i + 6 = d*v - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 18. Suppose -2 = h, c - o*h - 6 = -0. Solve c = -2*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-5628)\/3)\/1. Let g = 6618 - l. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 2. Suppose a = c*a - a. Let x(h) = 3*h**2 - 2*h + 337. Is x(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 1. Let o be (-3)\/z*2\/(-4). Suppose 2*y + 0 - 4 = f, 28 = 2*y + 5*f. What is the nearest to 0 in -1\/2, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209335 (base 10) to base 12.\nAnswer: a1187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**6\/30 - 3*d**5\/20 + 15*d**4\/4 - 27*d**3\/2 - 489*d. Find r, given that j(r) = 0.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 + 5*v + 2. Let g(n) = n**2 + 6*n + 4. Let f be (-2)\/(5\/2 - 2). Let j be g(f). Let q be s(j). Is -1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -209 or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 4*g - 6. Suppose 5*k + j + 32 = 0, 0 = -3*k - 3*j - 0 - 12. Let t = -5 - k. Suppose -x = -4*a - 4, t*x + 2 = -a - 8. Give f(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 192*u**2 - 3*u + 5. Let l be n(2). Suppose -3*h = -3*i - 576, 4*h + 0*h - l = 3*i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euee when four letters picked without replacement from eueje.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7)*x*x*(x*x**(-1\/7))\/x*x)**(-30\/7) assuming x is positive.\nAnswer: x**(-510\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*d - 24, -2*d = -5*w - 2 + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 4*f**3\/3 - 2*f**2 - 5*f - 2. Is y(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yddyddd. What is prob of sequence yy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 49687632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcww when four letters picked without replacement from {s: 1, c: 2, w: 11}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/6) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.8, 1\/11, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)\/u**(-12\/7))\/((u\/((u\/(u*u**(-3\/2)*u)*u)\/u*u))\/u**(-1)))**(1\/4) assuming u is positive.\nAnswer: u**(-81\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 1 j when three letters picked without replacement from bzpzpzjoz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/20 - 5*n**4\/12 - 5*n**3\/6 - n**2\/2 - 10*n. Calculate l(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 83*s**3 - 1825*s**2 + 46*s - 1450. Give u(22).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/112*7)\/((-1)\/(792\/6)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 5*q**3 + 5*q**3 + q**2 + 0*q**3 - q**3. Let u be x(1). Solve -2*t + u = 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11514 + f**2 + f - 11514. Let m(k) = 4*k**2 - 3. Determine m(b) - 5*q(b).\nAnswer: -b**2 - 5*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2646)\/(-108) - 44)*(-1)\/(6\/4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45819 + 45819 - 52*s**3.\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199229121.\nAnswer: 3, 7, 13, 243259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 36*r**3 - 23816*r**2 - 5027968*r - 233497088 = 0.\nAnswer: -88, 7538\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t. Let n(q) be the first derivative of 0*q - 1\/2*q**2 - 2. Let w(m) = -f(m) - 2*n(m). Let v(a) = a. What is v(w(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7647\/((6\/(-10))\/(22\/(-55)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bushkshuksskww. What is prob of sequence kkuw?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 6*w**2 - 3*w**2)*(4 - w**2 - 4) + 6*w**4 - 39 - 390 - 21.\nAnswer: 5*w**4 - 450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*k + 38, -4*k - 16 = 2*i - 52. Let r = -9 + i. Solve r*c + 5 = 5*m, -m + 3*c = -3*m - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 0*j - 4*j + 7. Let f be h(5). Let v(q) = -q**3 - 9*q**2 - 9*q - 6. List the prime factors of v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122201 + 131233120?\nAnswer: 131110313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 + 3*y**2 - 11*y + 47. Let a(p) = -p**3 + p**2 - 5*p + 22. Let c(l) = -13*a(l) + 6*f(l). Let m(u) = -u**3 + u**2 - 1. Give c(x) - 5*m(x).\nAnswer: 6*x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -3.6. Let l = 3 + w. Round l to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1098 <= 427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406658 is divided by 2107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-297)\/(-22) - 13). Solve 0 = 2*h + 4*f - 26, y*h - 16 = -5*f + 6*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1123 - 2499?\nAnswer: -3622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2\/3 - 172*h\/3 + 176\/3 = 0. Calculate h.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oupul. Give prob of sequence lpo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -42*q - 218. Determine b(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71733 is divided by 4005?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 11*f**2 - 6*f - 10. Let c be k(10). Let p(n) = 384*n + 180. Let i be p(c). What is i rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3*sqrt(768) - (sqrt(768) - (4 + sqrt(768))*-6))*-5)**2.\nAnswer: 60800*sqrt(3) + 316225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:11 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746*d - 330*d - 1978*d - 1279*d.\nAnswer: -4333*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/2 + (-63)\/42. Let x = 5 + d. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 105*b**3 - 565*b**2 - 1095*b - 630.\nAnswer: -5*(b + 1)*(b + 3)**2*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1149 + -0.1. Let r = p + 0.0384. Round r to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 7*o**2 - 7. Let i be r(7). Let g be i\/(-6)*3 + -3. Which is bigger: -2\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = 0, 40 = 3*k + 5*z - 19. Calculate the remainder when 33 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1660.66645 to the nearest integer.\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 154579463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/34 + 22\/4. Solve 4*s - 3*k - 14 = -k, -c*s + 25 = -4*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(160\/(-15)) - 15\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 26 + 26)*((0 - 2*d + 0)*(4 - 4 + 2) + d + 3*d - d)*(-10*d**2 - 10*d**2 - 2*d - 2*d**2 - 1).\nAnswer: 132*d**4 + 12*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 2. Suppose -5*h - k - m = -109, 4*h - 5*k - 85 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 71947665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -22*h + 1 - 13*h + 0 - 10*h**2 + 4*h - 129*h**2. Let w(d) = -d**2 - 2*d. Let o(b) = n(b) + 3*w(b). What is the second derivative of o(u) wrt u?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.2442 + 0.1858. Let o = 3.04888 + 11.38759. Let s = o - g. What is s rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 l, and 1 s when four letters picked without replacement from {v: 2, h: 3, r: 1, j: 2, l: 5, s: 7}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 9329002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 1. Let a be x(1). Let t = 12 - a. Suppose 10 = 2*c - 4*c - 4*z, 3*c - 21 = 3*z. Solve 0 = -2*d - 0*d + 3*q + 7, -t = -5*d - c*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 3. Let m(b) = -12*b. What is q(m(n))?\nAnswer: -144*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -796.51 times 42\nAnswer: -33453.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, 1 p, and 1 x when four letters picked without replacement from {v: 2, p: 1, d: 1, q: 1, x: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 + 0 = 0. Let q be 0 + 1 + z + -70. Let x = -50 - q. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2254803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.023 - -64. Let o = -0.717 + 0.69. Let n = o + d. Is -0.1 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 2*v**2 - 2*v - 2. Let p be u(2). Suppose -j + p = 2*j. Calculate the remainder when (j\/(-15))\/((-2)\/140) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c**3 + 6*c**2 + 2*c - 51. Let z(q) = 9*q**3 - 4*q**2 - q + 34. Calculate -5*t(u) - 8*z(u).\nAnswer: 3*u**3 + 2*u**2 - 2*u - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a - 9. Determine m(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -3. Let i = k + 11. Suppose u - 22 = -i*v, 4*v - u + 0*u - 18 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 148*r**2 + 983*r - 480. Determine m(-141).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*c + 264, -331 = 4*f + 4*c - 1467. Solve -3*m - f + 304 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q. Let b be 6 - 3*(2 - 1). Let f(o) = b + o - 7 + 4. Give f(i(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-91 - 29*k + 62*k - 5*k) as n*k + h and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/7 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6 - (18\/(-20))\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 674221.8ml?\nAnswer: 674.2218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from yspqqpth.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089771631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6467 + 6466.9. What is the nearest to 0.2 in 4\/3, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1643\/5 - 328. Sort o, 5, -2\/7, -43.\nAnswer: -43, -2\/7, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 - 8*q**3 - 2*q**3 + 2 - 2*q - 4*q**2 + 2*q**3 + 7*q**3 to f*q**3 + y*q**2 + b + k*q + p*q**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6216 + -6209. Let i(k) = -7*k - 4. Let g(w) = 22*w + 12. Calculate f*i(h) + 2*g(h).\nAnswer: -5*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -83*h - 3. Let r be c(-3). Let y(f) = 23*f + 6. Let z be y(4). Suppose z - r = -4*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1634130 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y + 5331 - 5191 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 + -109. List the prime factors of q.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Let b be -3*((-40)\/v)\/(-4). Suppose -7877*h + 7866*h = 110. Do h and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 14*m - 17*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10867 - 5232. Is 49 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001723 rounded to five decimal places?\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*l + 17, 4*a = 5*l - 7*l - 2. Let w be -1 - (-1 + (-44)\/4 + a). Suppose -2*d = -27 + w. What is the highest common divisor of d and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**0\/f))**(-1\/48)\/(f**(1\/3)*f)**(-27)*(f**0*f**(3\/7)\/f*f)**(-49) assuming f is positive.\nAnswer: f**(359\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*h - 15*h + 11152 = 287*h - 19658 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*s - 19 + 4 = 0, -w - s + 6 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -64*w**5 + 524*w**4 - 2*w**3 - 4634*w**2 - 2784*w + 2520 = 0?\nAnswer: -2, -21\/16, 1\/2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + q**2 + 7*q**3 - 5*q**3 + q**2 - q - q**2 + 6 to p*q**4 + b*q**2 + m*q**3 + k + i*q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 302728 and 2680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, b: 6, n: 2}. Give prob of picking 1 n and 1 b.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -1\/3*o**4 + 2*o**2 + 50*o + 41\/6*o**3 + 0. Differentiate i(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 874522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 4. Suppose 0 = -3*u - u - m + 20, 2*u - 10 = -2*m. Let z be h(u). Let l(v) = -v**2 + v**3 + 1 - v + 3*v - 2. What is l(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (14 + -8 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w + 131. Let j be g(16). Suppose 0 = -2*v - 0*s - s + 5, -2*v + 2*s = -2. Suppose -72 = -5*i + v*i. Solve -q + 5*c + 14 = q, 4*q + i = -j*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6311 - -6311. Is -441 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:18 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(396)*6 + -3*(sqrt(396) - sqrt(396)*1) + sqrt(396))\/(sqrt(20)\/(-1*sqrt(320) - sqrt(5))*-1).\nAnswer: 189*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z + 123*z - 35*z - 50*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1415 = -53*x + 4*f, 4*x + x + 3*f = x - 120 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/20 - l**3\/2 + 16*l**2. Factor y(u).\nAnswer: 3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561.4076 millennia in centuries?\nAnswer: 5614.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1216) + -1 + -1 + -2 + 4)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 98 = q + 4*g, -262 = -3*q + 4*g. Calculate the highest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -458863\/9 - -50786. Let i = 199 + u. Which is the second biggest value? (a) 1 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8011\/3 - -112163\/42. Which is the nearest to -1\/3? (a) -5 (b) -2 (c) m (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1 (c) 0.4 (d) -4 (e) 1648\/14623\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/25237070 and -95\/10094828.\nAnswer: 50474140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -586*v**3 - 5*v**2 + 11*v - 18. Let n(z) = 293*z**3 + 3*z**2 - 6*z + 10. Let s(f) = 11*n(f) + 6*u(f). Find the third derivative of s(p) wrt p.\nAnswer: -1758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -374, -774, -1174, -1574, -1974, -2374?\n\"Answer: -400*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -11, 2\/5, 3, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28129.9985337 + -28130. Round t to 5 decimal places.\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12747854+0.2\nAnswer: -12747853.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41287271653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/((-1)\/(-4)). Solve -2*p - d*k - 2 = 0, 2*p + 0 = -k - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 10\/((-20)\/(-4)). What is the third derivative of -14*m**4 - 2*m**2 + a*m**4 - 2*m**2 wrt m?\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147805 and 28331.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let w(d) = d**2 + 0 + 2 - h. Let b(c) = -4*c. Calculate b(w(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8089 or 8084?\nAnswer: 8089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422522372 by -398.\nAnswer: 1061614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2250 = 7*q - 22*q. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8724.4 rounded to the nearest 10?\nAnswer: 8720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 21*r - 46. Let y be s(-7). Suppose -y*d = -5*g + 29974, -3*g + 17991 = -0*g - 4*d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + 18*p + 2. Let a be u(3). Solve 0*v + 35 = 4*h - 5*v, 3*h = a*v + 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 2*l**2 + 1. Let w be ((-1)\/(-3))\/(3\/18). Calculate the lowest common multiple of m(w) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 134*u**4 - 579178*u**3 + 579180*u**3 + u + 2*u**2 in the form i*u + a + j*u**2 + n*u**3 + q*u**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 250 - 252, -3*f = -3*z + 54. Let j(q) = -10*q**2 - 191*q - 27. Determine j(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1, -9, 0.2, 24\/19, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252 + -652. Let u be f\/(-28) - 4\/14. Suppose z - 5*a - 20 = u, -44 = -4*z - 3*a. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -9. Let a(r) = 0*r**3 - r**3 + 3*r - 2*r**3 + 4 - r**2 - 1. What is the least common multiple of i and a(-2)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 57*d + 207. Let s(k) = -19*k - 72. What is -4*h(i) - 11*s(i)?\nAnswer: -19*i - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -681 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*b - 8. Let v = b + 17. Suppose -v*i + i = 5*a - 23, -a + 19 = 3*i. Calculate the greatest common factor of 60 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 6, 0 = -t + v + 65 - 63 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 124*s**2 + 235*s**2 - 174*s**2 as p*s**2 + o + h*s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/3 - 4154*i**3\/3 + 46330*i**2 - 44946*i = 0. Calculate i.\nAnswer: 0, 1, 33, 2043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**5\/4 + 28*q**4 - 11*q**3 = 0?\nAnswer: 0, 2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 1107*w**3 - 398*w**3 - 310*w**3 + 4*w - 394*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 56. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4 = -w. Suppose 21 - 77 = -w*a. Suppose f + 2*m = 106, m + 328 - 38 = 3*f. What is the greatest common divisor of a and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - 78\/8. Let x = -7 - i. Suppose x*c = 54 + 21. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -226 + 4*n**2 + 226. Let g(l) = -3*l + 5*l - 2*l**2 - 2*l. Calculate m(g(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f. Suppose -48*i = -43*i - 5. Let o(d) = d. Let b(t) = -3*t. Let w(p) = i*b(p) + o(p). Determine u(w(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 103 - 93 = 4*g, -g + 2 = -10*j - 8*j for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.3 - 1.7. Let i = 9.0389 - -1.9618. Let m = i + o. Round m to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13239163.\nAnswer: 7, 271, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*l - 2. Suppose 6*b - 3164 = l*b. Is b 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 186216638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9520091 and 0.3.\nAnswer: -2856027.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 14. What is the nearest to 1\/3 in u, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 18.36?\nAnswer: 18.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or -2592012?\nAnswer: -2592012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 5, 0.02, -36, 188?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12470*h**3 + 2203*h + 3 wrt h?\nAnswer: 74820*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55131*y**3 + 45*y - 45*y.\nAnswer: 55131*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/156 and -21\/58.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:04 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(150) + (sqrt(3) + 0)*-3.\nAnswer: -14*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -867 divided by -289.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 5*h**2 - 9*h + 4. Determine u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 3396*o**2 + 436424*o - 1278816.\nAnswer: 4*(o - 692)*(o - 154)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33a2 - -134?\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 11712 = -4*n, 0 = 4*v + 2*n + 3*n + 23421. Is v\/(-4)*2*(-29 + 30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(5\/50). Suppose 16 - 6 = n*c. Let y(i) = -i + 8. Let v(g) = -g + 7. Let w(d) = 4*v(d) - 3*y(d). What is w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41\/70 - 3\/10. Let m = -0.054 + -36.946. Let i = m + 34. What is the fourth smallest value in i, 1\/2, -0.1, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -5, -163, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 59806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let v be (-7 + 5)*1\/(-2). Let i be v\/6 - 1\/78. Sort -1, r, i in ascending order.\nAnswer: -1, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 6*j - 3*j. Is j > 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 11) to base 2\nAnswer: -1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -0.08, -1, 6, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -30 + 7 + 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -8959?\nAnswer: 2\/8959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -609*q + 540. What is the hundreds digit of z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -608600 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 14 - 2 = 0. Suppose 3*c = t + 9. Let v(x) = 2*x**2 + 4*x + 2. Let z be v(-2). Solve -c*b + 3*g = -11, z*b + g = 6*g + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -31 + 9. Suppose -68 = -3*g + p. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m - 4. Let l be w(-3). Solve -2*p - l = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(924\/33)*-6)\/162?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -37\/8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -4. Let r = l + 6. Put r, -0.3, 5\/4 in descending order.\nAnswer: 5\/4, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.057 - 2.943. Suppose -3*s - 2*y - 4 = 0, -2*y - 3*y + 3 = s. Let a be -5*(s - 32\/(-15)). What is the smallest value in 2, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 12, f: 3, j: 3}. What is prob of sequence fffj?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7936, 8202, 8468?\nAnswer: 8734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 812b4 (base 13) to base 8\nAnswer: 703402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -282, -273, -260, -243, -222, -197?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - 688*c + 688*c)*(1 + 3 - 14) - 2*c**2 - 5 + 5.\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61 and -8.\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 4*o - 1 - 6*o)*(4 + 0 - 3) to the form v + r*o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.5 - -7.79. Let o = -19.29 + z. Which is smaller: o or -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2 - 2)*0. Suppose 4*n = -f*n. Suppose 4*c = -g - 4, -3*g + 5*g = 4*c - 8. Sort g, n, -2.\nAnswer: g, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826086683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264.6 + 269.6. What is the nearest to -1 in 0.5, a, 7, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*j**3 - 12*j**3 - 15*j**3 + (2*j + 4 - 4)*(-4*j - 11*j - j)*(-j - 4 + 1 + 0) to x*j**3 + d + f*j + h*j**2 and give x.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143747194 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42808287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 12. Let m be q(12). Suppose -5*l + 33 = 3*s - 2*l, 2*s + 4*l - 24 = m. Is 1 - (-5)\/s*188 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 + p + 19. Let b be n(-7). Let m(r) = r**3 - 7*r**2 - 16*r - 15. What is the units digit of m(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5275577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 8b2b?\nAnswer: 8b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -17. Let p be 4\/k - (-59932954)\/(-8). Let v = p - 17808381. Round v to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 10*y = -2*t + 10, t = -5*y + 5. Solve -2*q - 2*v + 7 = -t*v, 2*q + 2*v = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 - (-6 - (-6 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7324, -7326, -7332, -7342, -7356, -7374, -7396?\n\"Answer: -2*s**2 + 4*s - 7326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2288*z - 4235*z - 146*z.\nAnswer: -6669*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + i**2 - 2*i. What is the least common multiple of 2 and z(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3184\/(-6))\/((-2895)\/(-585) - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 433*h**5 - 58*h**6 - 7*h**2 + 2*h - 433*h**5 wrt h?\nAnswer: -6960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 6*v + 5. Give n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 8, -2\/9, -72, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52033 - 100750 + 54499)*(-6*l + 3*l - 2*l)*(1 - 1 + 2*l) to b*l + r + y*l**2 and give y.\nAnswer: -57820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-3))\/((-160)\/2064) and 47\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 127*a*i*n - 16358*a*n - 12*i wrt i?\nAnswer: 127*a*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(468) + sqrt(468) + 0 - (sqrt(468) - (sqrt(468) + (sqrt(468) - (-1*sqrt(468) - sqrt(468)))*3))) + -1)*4)**2.\nAnswer: 906048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esy when three letters picked without replacement from ppeysepeospsp.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**2 + d + 6. Let a(n) = n**2 + 1. Let c(l) = -6*a(l) + u(l). What is the smallest common multiple of 12 and c(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 7, 229 in ascending order.\nAnswer: 1, 2, 7, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 - 114. Suppose 26*v - 27*v + 1126 = s. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*w - 25, 1 + 4 = -5*n. Let b = -779.2 + 779. What is the smallest value in b, w, 0.01?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2 = 2704*r - 2705*r + 2, 3*w - 4 = -r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011001 - -2?\nAnswer: -1010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 31. Let s be n(14). Suppose a + s*a - 12 = 4*o, 4*a - 20 = 0. Solve 4*z + 12 - 4 = -3*y, -o*z - 6 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + 0 + -7 + 6 - (184 + -169)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2322311333 (base 4) to base 16.\nAnswer: bad7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvpfpvvvvvfupuupuf. Give prob of picking 1 v and 1 f.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 9\/((-1080)\/2368) - -5*2.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*y + 2*y + 4, -y - 2 = -5*h. Suppose 22*d - 20*d - 1320 = h. What is d rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -45.651168.\nAnswer: 319.558176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2. Let u(p) be the third derivative of 0*p + 5\/24*p**4 + 0 - 4*p**2 + 0*p**3. Give u(j(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 19*o + 82 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 34*x**2 + 2*x + 2. What is the remainder when p(-2) is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 37. Suppose -h + c*h - 20 = 0. Solve -h*x - o = 7, -5*x - 45 = -5*o - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -25*a. Let c(y) = -11000463*y. Give c(r(b)).\nAnswer: 275011575*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9*z\/(z\/(z\/(z*z**2*z))))\/(z\/z**5*z**(-7)) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-5))\/(15 - (-2235)\/(-150))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 22734 + 6204 = 0. What are the prime factors of c?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -12224*g - 61347. What is d(-5)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 5. Let f be ((-24)\/16)\/(6\/32). Let c be w(f). Suppose -2*m - 4 = 5*d, 4*d + 17 = 5*m + c*d. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllbllllbl. Give prob of sequence lll.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118*-46415.\nAnswer: 5476970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -5. Let g be (l\/5)\/((-6)\/15). Sort -4, -3, g in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 180*u. Let o(a) = -11*a. Determine o(g(r)).\nAnswer: -11*r**2 + 1980*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 24*z + 124. Let y be x(-5). Let f(b) = -7*b**3 + 1. Let c be f(-1). Solve c + 0 = y*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9755966 divided by -1?\nAnswer: 9755966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30287247 is divided by 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 115 (b) 5 (c) 4 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by -39223.\nAnswer: 129\/39223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646332.\nAnswer: 2, 411583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**3 - 15*x + 2 - 3*x**3 - 5*x**2 + 10*x**3 as v + p*x**3 + r*x**2 + d*x and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l - 2*a - 10 = 0, 2*l + 2*a = -8. Suppose 3*p - 3 = 6. What is the units digit of p\/6*l*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*k = 590*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/84 and (-24)\/30*(-5)\/2 + (-3749)\/1518.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by 4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -16. Let k = 46 - d. Suppose 3*i - 1 = -4*g + 38, 3*g = -2*i + k. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t**3 + 6*t**2 + 6*t - 4. Let q(g) = 506*g - 13*g**2 + 8*g**2 + 10*g**3 - 511*g + 3. Calculate 5*a(x) + 6*q(x).\nAnswer: 5*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + (42 + -44 - -27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-9))\/(t\/t**(1\/2))*((t*t*t**(1\/4)*t*t)\/t)**(-2\/49) assuming t is positive.\nAnswer: t**(-423\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - (-234)\/(((-8)\/(-28))\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383986.\nAnswer: 2, 37, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 351 - 12221140?\nAnswer: -12220345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/6*3\/((-90)\/48). Does 33 divide d\/12 + 292*(-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.336 + 9.7. Let c = -0.064 + a. Put -2\/11, 0, 6\/7, c in decreasing order.\nAnswer: 6\/7, c, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 14) in base 13?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -1\/4, -748059, -1, 2\/15?\nAnswer: -748059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/11, -5, -16, -2\/13, -2\/11?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, y: 3, z: 3, h: 1, t: 3, x: 3}. What is prob of sequence thz?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -381 and -560744.169.\nAnswer: -561125.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 2. Suppose -2*r = -5*q - 4, 3*q + 11 = -r - 9. Let m(k) = 5*k + 5. What is r*c(u) - 3*m(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 314490.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 22. Let b = 10.2 + y. Suppose 3*a = 4*p - 16, -28*a + 16 = -26*a + 4*p. What is the third smallest value in a, b, -1.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 10*h + 9. Let l be u(7). Let g be (-2)\/(-7) + l\/(-7). Let f(k) = -4*k. Give f(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1435 + -1432. Solve -s*r + 5*r - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 5:02 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 13 - 16, 5*k - 5 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 7098.\nAnswer: 49686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 109399 (b) 1.95 (c) -0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - w**2 + 4. Let f be j(0). Calculate the greatest common divisor of 24 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 492 and 5084?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**7\/35 + 7*c**4\/24 + 3*c**2 + 1. Let b(j) be the second derivative of t(j). Find the second derivative of b(u) wrt u.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 661 times 1\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9398501 decades in millennia?\nAnswer: 0.009398501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**4 - 60*a**3 + 132*a**2 + 3388*a = 0.\nAnswer: -11, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/24 + 7*b**4\/24 + 19*b**3\/2 - 17*b**2. Let c(r) be the first derivative of z(r). Give c(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 57, 0.2, -496\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w. Let s be 1 + (2 - (-4 - -1)). Let f(v) = -7*v. Let d(u) = s*x(u) - 13*f(u). Let m(k) = k**2. Calculate d(m(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*l + 1)*(-41*l - 43*l + 47*l) - 2*l**2 + 5 - 5 - 3*l**2 + 2*l**2 + 2*l**2)*(21*l - 21*l - 4*l**2) + (5 - 3*l - 5)*(l**3 - 4*l**3 + l**3).\nAnswer: -286*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:04 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (4 - -9) - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2108 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - i + 4. Let f be v(0). Let a = 4 - f. Let j(q) = -q**2 + q + 20. What is j(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 3159.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 0.2, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 5*f + 1. Let o = -14 - -18. Give a(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*v - 244*v - 228*v + 698*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 385 and 20.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.92 + 14.42. Let t = 5.02 + -0.02. Which is the third smallest value? (a) n (b) -1\/6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = 2*r, -2*i + 4*r = 3*i - 36. Let y(g) = 1 + 2 - 5 + i*g**2 + 2*g - 6*g**3. What is the units digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 equal to -24.1488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2673631.\nAnswer: 2673631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 2331774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -1, -4, 388, -221, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2239685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 = 2*l, 3*u - 15 - 23 = 4*l. Let p = u + -5. Let i = 14 + p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29267 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22249 + 22248. Let r = -2.9 - -3. What is the closest to 3 in 4, r, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -0.5, 2, 24, 0.29, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 9348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.87709 meters to nanometers.\nAnswer: 2877090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 113.\nAnswer: -4\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -82901?\nAnswer: 8290a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9749498 to the nearest integer?\nAnswer: 3122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -0.883, -3, 2, 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/46 - 550788\/(-190785)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 14456646036618.\nAnswer: 14456646036623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1821*r**2 - 169265*r + 8188. Give n(-93).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - 26) + -20 + -14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -595, -1652, -3611, -6772?\nAnswer: -11435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -33*c + 5. Let u(r) = -16*r + 3. What is -4*i(j) + 9*u(j)?\nAnswer: -12*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(6\/15) - -7)\/(-2). Let d(c) = 19*c. Give d(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p - 158 = -103. Put 0, 12, 5, p in descending order.\nAnswer: 12, 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*-6 + 1 + -2*sqrt(28) + (sqrt(7)*1 + -2)**2.\nAnswer: -26*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 39, 66, 103, 150, 207?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23660216 is divided by 1478763.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6))**(-10\/9)\/(y*y*y**13)**4 assuming y is positive.\nAnswer: y**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 4*i**2 + i + 5. Let o be t(-4). Let v(u) = -54*u + 5. Let h(w) = -239*w + 22. Let d(j) = 2*h(j) - 9*v(j). What is d(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/26386402 and 13\/375340.\nAnswer: 263864020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 896*a**5\/5 + 1108*a + 696. Find the first derivative of o(t) wrt t.\nAnswer: 3584*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-6))\/((-2)\/7). Let v(m) = -m**3 - 6*m**2 + 4*m - 10. List the prime factors of v(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 2)*(-218694*w**3 - 218691*w**3 - 1273 + 437393*w**3) to the form h*w**2 + s*w + l + p*w**3 and give l.\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Suppose 2*j = 4*b + 14, 3*b + 0 + 3 = 0. Suppose -p*d + 321 = 2*d - g, 341 = 4*d - j*g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 1017 = -9*k + 413. Let g = 4 + 0. Suppose -80 = -5*y - w + 12, g*w = -12. Calculate the remainder when k is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2947, 11765, 26491, 47149, 73763, 106357?\n\"Answer: 4*t**3 + 2930*t**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7211, -8070, -8925, -9776, -10623, -11466, -12305?\n\"Answer: 2*w**2 - 865*w - 6348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t)\/t*t)\/(t\/t**(12\/7)) assuming t is positive.\nAnswer: t**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 2*p - 2*p)*((3*p + 0*p - 4*p)*(3 - 4*p - 3) - 5*p**2 - p**2 + 4*p**2).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -308 + 308.1. Let u = 9.9 - 11.34. Is g < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 835131 divided by 75921\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(76)*1 - sqrt(76))\/(sqrt(16)\/(sqrt(4)*-5)))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 496661047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 17*d - 30. Let g be q(-15). Solve 5*v + 2*o - 15 = 0, v + g - 3 = -5*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -46*k**3 - k**2 - 6*k - 3. Suppose 4*w - 3*n + 9 = -2*n, 4*w + 5*n = -3. Is l(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 215 in descending order.\nAnswer: 215, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*d + 6483*d**2 - 20*d - 5186*d**2)*(0 - 1 - 1) to the form c*d**2 + j + i*d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 402541551 (base 6) in base 4?\nAnswer: 122021321023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 372033511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7562?\nAnswer: 2, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1113692834 or 1113692836?\nAnswer: 1113692836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -104*y**3 + 8*y**2 - 7*y - 2861. Let f(r) = -204*r**3 + 17*r**2 - 16*r - 5720. Let x(t) = 3*f(t) - 7*n(t). Find the second derivative of x(i) wrt i.\nAnswer: 696*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa1b82 (base 12) to base 3\nAnswer: -12002010110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 - 324*r**2 + 4*r + 324 = 0. Calculate r.\nAnswer: -81, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1085053715 + 1.1085. Round f to 7 decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 51*k + 259. Let f be n(-5). Let t be f\/18 - 2188\/(-36). Sort -3, -2, t.\nAnswer: -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10*z - 7*z - 5*z. Let h(o) = -2*o. Determine h(y(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 25. Let a(q) = 20*q. Let o(u) = 3*u**2. Let t be o(1). Let f be a(t). Calculate the highest common factor of f and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10936 = -1629*q - 3499 + 8853 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.35 - -24.35. Which is the biggest value? (a) z (b) 0.2 (c) 0.3 (d) 2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 16 - (1 + -3 + (-12 - -12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 - (6 + -5). Let x = 12 + -8. Suppose -5*b - 6 - x = 0. Is m < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 1, x: 2, u: 3}. Give prob of picking 2 x and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:45 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2612, -5237, -7862?\n\"Answer: -2625*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5367.66 rounded to the nearest ten?\nAnswer: -5370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 4*q**4 - 17*q**2\/2 - 24*q. Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.3, -261\/5, 644?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 735817.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x + 1636. Let s be b(-133). What is the greatest common divisor of 7242 and s?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 4*g**2 - 10*g + 9. What is the remainder when 81 is divided by z(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 102223?\nAnswer: 1022230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 22*c + 17*c.\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 468991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6567961?\nAnswer: 6567961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 2860336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:45 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 2*g**2 + 2*g - 3. Let z be i(2). Let n(q) = -q + 10. Let r be n(z). Solve -4*p + 7 = -r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2267 or 2039\/14?\nAnswer: 2039\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/((-170)\/975*-5). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 + -13?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46, -38, -18, 20, 82, 174, 302, 472?\n\"Answer: w**3 + w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 120249.\nAnswer: 120249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -7*l + 48. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012304 less than or equal to 3012317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1228*w + 461*w - 2271 - 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -452. Suppose 4*q = 5*f - c, -2*f + 5*f - 224 = 4*q. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2.875471.\nAnswer: -0.2875471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/7)\/(u\/((u*(u*u\/u**3)\/u)\/u))*((u**(-1)*u)\/u)**(37\/4) assuming u is positive.\nAnswer: u**(-351\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:16 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 841 - 837. Which is the second biggest value? (a) 0.56 (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.2039816 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (53 - 6) + (-2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 + 42*j - 300*j + 675*j + 229*j with respect to j.\nAnswer: 646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 4*k - 3. Let o be z(-2). Suppose -2*n - 2*j + j - o = 0, 2*n = -4*j - 10. Let s be -1 - 0\/n - -4. Solve -a = -s*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73402 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 + y**2 + 4*y - 5. Let w(j) = -6*j**3 - j**2 - 5*j + 6. What is 5*h(l) + 4*w(l)?\nAnswer: l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -10\/552233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2480 + 261*i - 2480 to the form k*i + d and give k.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34698, 34696, 34694, 34692, 34690?\nAnswer: 34688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37 (b) -3 (c) 1.0029 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5287582467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37314815933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308 - -392. Does 42 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4288 and -79\/1252?\nAnswer: 1342144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2)\/(-1*(3 - 2)). Let h be (4 - (1 - y))*2. Solve -h = 3*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -198.762974+-2738\nAnswer: -2936.762974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535309, 1070639, 1605959, 2141263, 2676545, 3211799, 3747019?\nAnswer: 4282199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, c: 3}. What is prob of sequence ptt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (sqrt(1872) + (sqrt(1872)*-4)**2))*1 + (5 + sqrt(637) + (sqrt(637) - sqrt(637)*1) + sqrt(637))**2.\nAnswer: -27379 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/66 and -125\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = j - 5*k, 23*j - 18*j - 4*k = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11572 and 65076.\nAnswer: 17114988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29286 divided by -383.\nAnswer: 29286\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483164, -966327, -1449462, -1932557, -2415600, -2898579, -3381482, -3864297?\nAnswer: -4347012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -14*q + 43. Let x(r) be the third derivative of 7*r**4\/24 - 11*r**3\/3 + 16*r**2. Let j(d) = 6*l(d) + 13*x(d). Is 14 a factor of j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 + p - 35. Let l be x(0). Let w = -30 - l. Let n = 7 + w. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**3\/5 + 751*h**2\/5 + 2398*h\/5 + 624\/5.\nAnswer: (h + 3)*(h + 104)*(7*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*n**4 - 895 + 895)*(3*n + n + 7*n).\nAnswer: 429*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Is 6\/u*(-4632)\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d + 5*c = -87, 3*d + 3*c + 285 = 0. Let g = 145 + d. Suppose 2*h + 3*h = -4*f + g, -2 = -2*f + 3*h. Solve -1 = -2*w - f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*i = -12, 155*p + 91 = 27*p - i + 3*i - 43 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.019 - 0.019. Let l = -15.04 + x. Put 0.3, l, -1\/5 in decreasing order.\nAnswer: 0.3, l, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97833 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35140*v**3 + 12043*v wrt v.\nAnswer: -210840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1886\/7? (a) 53 (b) -0.3 (c) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by -556422.\nAnswer: 109\/278211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57, 157, 305, 501, 745?\n\"Answer: 24*n**2 + 28*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2449.03 to the nearest ten.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/195*(-198)\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-24 - -7)) + 0 + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {b: 10, a: 2, p: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 + (-2)\/(-6). Let c = 0 - t. Is 7 - -2 - c - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20016 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -p - 0, 3*p - 5*s - 11 = 0. Suppose z - 2*x - p*x = 31, 5*z - 107 = 4*x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.699131 to 2 dps.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:46 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -50. Suppose 14*w = w + y. Solve -7*v + w*v - 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 747 and 37044036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5121\/(-165) + 110\/3025\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.39862 + -34.4. Round k to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7429 + 0.2571. Which is the nearest to k? (a) 0.19 (b) 4 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 8) to base 14\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -8.3 (c) 12.42 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10880532 by 10880532.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/184 and -107\/230?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -23. Let b = l - 11. Let o = b + 22.00000036. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 23. Let v(o) = -428084*o. What is v(b(u))?\nAnswer: -428084*u - 9845932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -2*g**3\/3 - 11*g**2 + 7*g. Let d be h(-6). Solve -7 = 5*j - d*b + 1, -4*b = 4*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 3)*(3 + -1). Suppose 2*r - 2 = x*o + 2, 0 = 5*r - 4*o - 28. Solve -z = z + r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43368 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120, 500, 1142, 2052, 3236, 4700, 6450?\n\"Answer: z**3 + 125*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 848754719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7965781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r + 5. Let f be h(7). Let u = 6 + f. Suppose 6*n = u*n + 44. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 11*m - 24. Let w be c(-2). Suppose 2*g = -5*p + 960, -3*g + p = -w*g - 480. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, e: 3, b: 3, k: 3}. Give prob of sequence keeb.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 10*d**2 - 8*d + 10. Let g be z(-9). Let f(a) be the third derivative of -a**5\/30 + a**4\/24 - a**3\/6 + 3*a**2. What is f(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/4)\/m)\/m**0*m\/(m\/(m\/(m*m\/(m*m**(2\/5)*m)*m*m))*m)*m**1*m*m**(-8\/3)*m**(-1\/6)*m**6\/m**(3\/7) assuming m is positive.\nAnswer: m**(1633\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9432254 decades?\nAnswer: 0.009432254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1401, 66, -3, 26 in decreasing order.\nAnswer: 66, 26, -2, -3, -1401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1939570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06188974 to four decimal places.\nAnswer: 0.0619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 12*d - 4. Let j be b(-12). Let l = -11 - -4. Let t = l - -4. Sort t, -0.4, j in increasing order.\nAnswer: j, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59614\/37 or 1612?\nAnswer: 59614\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:34 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*c + 100*c - 511191. List the prime factors of c.\nAnswer: 3, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h. Let l(k) = 11*k**2 - 8*k**2 - 1 + 1. Determine c(l(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 145640*f**2 - 145641*f**2 - 1527.\nAnswer: -f**2 - 1459","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k + 277. Let u be c(35). Let s(b) = 9*b - 7. Let f(x) = -5*x + 4. Determine u*s(v) - 5*f(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + t**4 + 10*t**3 + 29 + 8*t + 17 - 2 - 45 + 7*t**2 as g + o*t**3 + m*t**2 + z*t**4 + n*t and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -338.36 + 0.36. Let b = 66701.496059 - 66363.4962. Let l = q + b. Round l to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**7\/10 - t**6\/20 - 7*t**5\/20 + t**4\/4 - 32*t**2. Let n(b) = 0. Calculate b.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*g**2 - 46*g**3 - 59 - 27*g**3 + 71*g**3 wrt g?\nAnswer: -6*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3)*(-18)\/14. Does d = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 47\/1856?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2262\/104 - 24)\/(1\/(-4 - 0)). Suppose -2*f = -808 + 70. Calculate the greatest common divisor of f and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164 by 9333.\nAnswer: 164\/9333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3856.177 millilitres to litres.\nAnswer: 3.856177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 234*n**2 - 5 + 0 + 2 - 67*n**2.\nAnswer: 167*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*c - 36 = 0, -38*a = -40*a + 3*c - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - -2.8. Which is smaller: h or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 7 + 25 - l)*(-24*l**3 + 30*l**3 - 25*l**3) - 2*l**4 + 3*l**4 + l**4 in the form h*l**2 + w*l + y*l**4 + n*l**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 2 = -9*z. Let s(o) = 436*o**3 + o**2. Is s(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 22*b**2 + 6*b - 18. Let k(x) = -3*x**2 - x + 3. Let w(a) = 6*k(a) + o(a). Let i(r) = 9*r + 9. Calculate w(i(l)).\nAnswer: 324*l**2 + 648*l + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 5:26 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -18. Suppose m*j + 2*i - 39 = j, -3*j + 117 = -2*i. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 172, 2, -3, -1290 in descending order.\nAnswer: 172, 2, -3, -15, -1290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from lqcuuqhw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 697 and -5.91?\nAnswer: -4119.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.16. Let n = 0.324 - 0.684. Let g = p - n. What is g rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 35*q**2 + 5*q - 3. Let z(g) = -2*g**3 - 27*g**2 + 4*g - 3. Let x(v) = -3*r(v) + 4*z(v). Determine x(3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 9*z - 3. Let s(p) = p**2 - 1. Give -4*s(c) + v(c).\nAnswer: -c**2 + 9*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1891376 divided by 472844.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -25. Put 4\/15, 1\/3, i, -3 in decreasing order.\nAnswer: i, 1\/3, 4\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486 + -451. Let m(n) = -n**2 + 38*n - 45. What is the remainder when m(t) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 7*c**2 + 11*c - 8. Let f be (-2328)\/(-36) - 2\/3. Let z = f + -56. List the prime factors of r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69999 - -70008. Let v = 8 - -25. Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -20. Let i = 17\/63 - 8\/21. Which is the closest to -1? (a) -5 (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 12 = -4*c. Let s be (c - 2) + 0 + -1. What is the second derivative of -z + s*z**5 - 2*z**5 + 2*z wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 23 - 137. Let i = 44 - j. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 78 + -56 - (-1 + 21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -291638, -583352, -875066?\n\"Answer: -291714*c + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.233045um in nanometers?\nAnswer: 1233.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197055905 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79879 is divided by 19649?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 493*-0.4.\nAnswer: -197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -3*v, 0*z - 3 = -z + 4*v. Let p = 6 - 2. What is the first derivative of -z*d**4 + p*d**3 + 2 - 4*d**3 - 5 wrt d?\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:46 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/8 + 9363*y\/4 - 9923868.\nAnswer: 3*(y - 2896)*(y + 9138)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*((-2*(sqrt(171) - sqrt(171)*2) - sqrt(171)) + sqrt(171) - sqrt(171))\/(1*sqrt(1296)).\nAnswer: -2 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 33*k - 28*k + 2 = 0, 4*f = 4*k + 8. Suppose 44 + 13 = -3*o - 3*p, p + 40 = -2*o. Let x = 26 + o. Solve -2*z + 5 = f*b - 7*b, z - 5 = x*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {j: 1, r: 2, v: 1, l: 3, c: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 161.1 and 909?\nAnswer: 146439.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3 - 4\/3*o + 0 - 2\/3*o**5 + 10\/3*o**4 + 14\/3*o**2.\nAnswer: -2*o*(o - 2)*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588979.5902 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75764 or -75756?\nAnswer: -75764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4254260 and 1480?\nAnswer: 8508520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 6*i + 36 = 3*i, -4*h - 13346*i - 3 = -13341*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v + 10. Let a(h) = -2*h - 5. Let i(d) = 9*a(d) + 4*w(d). Let l(q) = -q + 2. Let z(m) = 4*i(m) + 10*l(m). Let s(r) = r. Give z(s(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 4*h + 11. Let k be w(5). Is 12 a factor of k\/27 + (-3230)\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58\/5 - -12. Let s = -441 - -442.8. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmttbtd. What is prob of picking 2 t and 1 d?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 166 + 209077?\nAnswer: 209243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(10395\/42) - (-3)\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 39*i + 706 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.9. Let k = 3 + -3.6. Let y = -0.6 - k. Do y and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2 - 6, 0 = -3*q + 4*i + 44. What is the remainder when q is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 41. Let l(z) = -13*z**3 - 7*z**2 - 10*z + 1. Let x be l(f). Let k be 30 + (2\/1)\/(-2). What is the greatest common factor of k and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 12. Calculate the highest common factor of 6 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -4. Suppose -2*y - k = y. What is the units digit of (18 - (y - 0)) + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + p - 13 = 8, 8 = 2*s - 2*p. Suppose s*j + 429 - 1889 = 0. List the prime factors of j.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.61, 1, 3 in decreasing order.\nAnswer: 3, 1, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 686740562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*y - 97*y - 8 = 5*s - 14, 0 = -2*s - y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 4.93. Let t = -5.07 - j. Let v = t - 0.93. What is the closest to v in -2, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-10))\/((-2)\/50). Suppose 0 = 2*r + 5*h - 15, 5*r - s = -0*r - 5*h. Let b(a) = a + 2*a**3 + 14*a**2 - 9*a**2 - 3*a**3 + 7. What is b(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-324)\/30)\/(12\/75*(-200)\/(-160)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 106397, -10, -1 in descending order.\nAnswer: 106397, 2, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 1. Suppose 5*d + 20 = -5*w, -17 = 2*w + 6*d - d. What is the units digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -68683?\nAnswer: 68680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8861, 8856, 8855, 8858, 8865, 8876?\nAnswer: 8891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 13*s**2\/5 + 60883*s\/5 - 224976\/5 = 0.\nAnswer: -4687, 48\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 47*m**3 - m + 1. Suppose -3*t + 16 = -2. Suppose 0 = -2*f + 38 - t. Calculate the remainder when v(1) is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 less than or equal to -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 70*y**2 + 72*y - 196. Let d = 64 - 24. Calculate the remainder when d is divided by b(69).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13738 = 3*x + 5*n - 50758, -3*x + 36984 = -n. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-126)\/78)*((-45)\/195)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*p**2 - 3*p**3 + 5*p**3 + 56*p**2.\nAnswer: 2*p**3 + 317*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.4 (b) -0.003 (c) 1\/4 (d) 1\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*w - 44772 = -112*w + 2110*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:58 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 62, -4\/17, 3, 12?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 1\/3*k**3 - 23*k**2 + 0*k + 0 - 1\/24*k**4. What is x(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 304 - 234 = 2*m, m - 7*q - 32 = -4*q + 23 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 12. What is the remainder when j(9) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09 and -587.1972?\nAnswer: 587.1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -808025.3 to the nearest ten thousand.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 1\/24*g**4 + 0*g - 1\/6*g**3 + 1\/30*g**5 + 1\/336*g**8 + 0 - 1\/210*g**7 - g**2 - 1\/60*g**6. Find s, given that x(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 5*z**4\/4 - z**2\/2 - 1. What is the lowest common multiple of n(1) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = 99 - 1269. Suppose 0 = 73*f - q*f + 400. Calculate the least common multiple of 40 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87000 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:31 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:18 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7*(-24)\/294)\/(2\/(-42)*-3). Solve r = -i, 3*f = 5*f - 5*r - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r - 7. Let y be -3*r*1\/3. Suppose y*c + 0*c = 40. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -166*p + 165*p. Suppose 0 = 19*c - 13*c - 90. Calculate the lowest common multiple of c and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 0, 33, 22294.\nAnswer: -3, -1, 0, 3, 33, 22294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 380 = 18*o + 8*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*z**3 + 3*z**2 - 2 + 2 - 55*z + 80*z - 74*z wrt z.\nAnswer: 72*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from koskkosk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 12 = -t. Let n be (t\/4)\/((-9)\/(-12)). What are the prime factors of (0 - -4)\/(n\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8765208 and 82008.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from lawlmff?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 10 = 5*i. Find the common denominator of 3\/i*340\/(-165) and (((-1 + 4)\/(-3))\/9)\/((-12)\/2196).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - o - 45, -10*z = -3*z - 9*z - 2*o - 18 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j. Let t(g) = -2*g**2 + 34*g + 1. Let i(s) = -60*s**2 - 102*s - 3. Let k(f) = -i(f) - 3*t(f). Calculate r(k(u)).\nAnswer: -726*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 831 divide 96529920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.663 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14817 + 9737. Let k = o - -111719\/22. Find the common denominator of -2*177\/(-48) + 2 and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.8494 times 0.03?\nAnswer: -1.465482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -3, -2\/5, 2\/33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49334888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563 is divided by 199?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, -1, -17, -37, -61?\n\"Answer: -2*k**2 - 6*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 0.\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3534 and 121334?\nAnswer: 364002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n - 80. Suppose 3*b + 12 = 0, -17 = -5*h - 197*b + 195*b. Determine s(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 645 and 3096?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 862902?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 20\/6*-63. List the prime factors of ((-12)\/(-3))\/1 + j.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*p + 183603 = 0, 2*j = 585*p - 589*p + 73422. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1060 and 1272?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1327584949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.136*8028534\nAnswer: 1091880.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 + -10)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmimicmccicimcciici. What is prob of sequence imc?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.6 (c) 2\/21 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3370 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-2)*(-7)\/(-21). Which is the nearest to l? (a) -1.2 (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.063 and -2672080?\nAnswer: -168341.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5415.285 + 5408. What is f rounded to 1 dp?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1830667 = 6415306. Let v = w + 2698213. Round v to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(891))**2 + -2 - (3 + (1 + sqrt(891) + sqrt(891))**2 - sqrt(891))).\nAnswer: 27*sqrt(11) + 2679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 44*h + 52*h + 0*h**2)*(-6 + 4*h + 6).\nAnswer: 8*h**3 + 32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -3, -1, 194, -5 in increasing order.\nAnswer: -91, -5, -3, -1, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -199*f + 354*f + 930 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - 2*s + 2. Let k(a) = -a**2 - 1. Let f be ((-7)\/49)\/((-2)\/28). Determine f*k(b) + r(b).\nAnswer: 3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaanaanaaa.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.3 (c) -1\/3 (d) -32 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-21)\/(-3)*(35 + (-13299)\/462) and (1 - 50\/32) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(90\/234)*-1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (32 - 3 - ((-21 - 57) + 154))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/5)*t**(-1))\/(t\/(t*t**(-1\/4)*t))**(1\/12))**(-7\/4) assuming t is positive.\nAnswer: t**(-371\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37004\/(-1122) + (11 - -12) + 10.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/992 and -63\/76.\nAnswer: 18848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o + 19*o - 8*o)*(-67 - 46 - 140) as c + j*o and give j.\nAnswer: -1518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o - 70*o - 162*o - 48*o.\nAnswer: -235*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -57, 1120, -2 in decreasing order.\nAnswer: 1120, 1, -2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533*u - 1028*u + 519*u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 142*b + 1817. What is the hundreds digit of j(191)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*-4*1\/5. Let k = -2 + z. Suppose -k*c + 0*c = -28. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3*(-2100)\/5. Let h = m + -555. Solve 0 = h*u - 4*c + 33, 2*c - 14 = 2*u - 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 > 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*r + 10\/7*r**2 + 2\/7*r**3 - 48\/7 = 0. What is r?\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -15*x + 1239. Put x, 5, 0 in decreasing order.\nAnswer: x, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9857, 5, 10, -1, -5 in descending order.\nAnswer: 10, 5, -1, -5, -7, -9857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-112)\/(-42) + -11 + 8. What is the closest to b in 35\/2, 0.3, -5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-3 + 4)*-1 + 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*x + 2504, 5*x + 987 = -r - 1509. Let d be 24\/(-108) - x\/(-18). What is the remainder when 64 is divided by (d\/70)\/(376\/190 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 10*u**2 + 201*u + 24. Give r(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h. Let b(i) = 6*i**2 - 4*i. Let k(j) = -5*j**2 + 3*j. Let c(q) = 3*b(q) + 4*k(q). What is x(c(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*k**5 - 16*k**4 - 522*k**2 - 7888905*k.\nAnswer: -2660*k**3 - 192*k**2 - 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3435.3 centuries?\nAnswer: 34353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/10 and (-6)\/1 - 6665\/(-1230).\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925674492 is divided by 419.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - q + 29, 27 = 2*v + 5*q - 3. Let f be (v\/4)\/((-1)\/4). Let s(y) = y**2 + y - 2. Is 6 a factor of s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47839 less than -526245\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 363.6277 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97428 divided by -10.\nAnswer: -48714\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*o - 149. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661996.9 centuries in millennia?\nAnswer: 66199.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3934 - -0.6934. Let y = -2.9 - 0.1. What is the biggest value in y, s, 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612119.\nAnswer: 17, 36007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9356621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -138 + 6. What is the least common multiple of 2 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, x: 12}. Give prob of sequence xcc.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 5, -12, -27, -40, -51, -60?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**3 + 36*v**2 - 27*v - 102. What is p(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534553407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000001010 (base 2) to base 4.\nAnswer: 1000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-12)*2430\/450\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711*3\/3 - 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 - 37*a + 4. Calculate h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40336150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*sqrt(612) + -4)*-1 + (sqrt(4131)\/sqrt(3) - (sqrt(34)\/sqrt(2)*-6)**2).\nAnswer: -613 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 1035\nAnswer: -310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 148 + 88 + 4758*l)*(l**3 - l**3 + l**4).\nAnswer: 4758*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.8 and 961.\nAnswer: 968.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) + 3 + 46\/(-14). Let z be ((-192)\/9 + n)*(-15)\/10. Suppose 2530 = z*g - 31*g. What is g rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 486800 to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-18)\/30)\/((-4)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.56 + -0.44. Let y = -121210.962 - -121229.9619903. Let p = r + y. What is p rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60641 - 33550. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*l + 13 = 0, -17 = -5*v - 0*v - 3*l. Let n = 0.34 - 0.04. Which is the nearest to -1? (a) n (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 70406.1us?\nAnswer: 0.0704061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (23 - 0)*(-2 + 5 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*h*t - d*h + 7*d*t + 2*d - 22*h*t - 98*h + 2*t - 23 wrt t.\nAnswer: -2*d*h + 7*d - 22*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43983867 less than -0.4?\nAnswer: -43983867.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-7))\/((-6)\/9). Let m = 16 + -16.4. Let p = m - -0.5. Does p = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (-45 + 25 + 2 - -34).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 259 = g, 0 = -6*g + 9*g - 2*s - 833. What is the highest common factor of g and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 + 0 = 2*m. Let j = -36 - m. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55160303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336 divided by 584?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**4 + 438913*p**3 - 438816*p**3 - 3 + 7 as k + z*p + a*p**4 + j*p**3 + g*p**2 and give j.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v - 16. Let o be h(-6). Suppose 0 = o*r - 4*r. Solve 3*s - 8*s + 10 = r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 10, 2*z - 120 = -5*d - 28. Suppose 16 + z = y + 3*m, -2*m = 4*y - 278. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.8952ug to grams.\nAnswer: 0.0000148952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 14. Let s(a) = -2*a + 11. Let v(y) = 3*h(y) + 4*s(y). What is v(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*z**2 + 24*z**2 + 3 + z**4 - 8 + 6 + 2*z**3 to the form a + d*z + b*z**4 + l*z**3 + w*z**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y**2 + 2. Suppose -3*t - 9 = -0. Let f be m(t). Let w = -3 + f. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -317, 4 in ascending order.\nAnswer: -317, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2229, 0, 3, -4, -1 in increasing order.\nAnswer: -4, -3, -1, 0, 3, 2229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61746354*t**3*u**2 + t**3*u + 4*t**3 - 12*t**2 - 551*t*u - t + 2 wrt u?\nAnswer: 123492708*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1278071, 2556141, 3834211, 5112281?\n\"Answer: 1278070*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21808 is divided by 7261?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miii. What is prob of picking 3 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093312988 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3784*p - 3785*p + 32415*p**2 + 7573*p.\nAnswer: 32415*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 22*v + 70. Calculate t(-29).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose 4*i - 2*y - 36 = 0, -4*i + 0*i = t*y - 36. Let f = 3 + i. What is the lowest common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 greater than or equal to -1.622789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15 + 6 + (-13 - -18). Let t(f) = -7*f**3 - 5*f. Let a(m) be the first derivative of -7*m**4\/4 - 2*m**2 - 4. Determine p*t(r) + 5*a(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 13. Let w = k + 17. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*j + 5*d, 3*j - 5*d + 18 = 3. Let q = 1 + j. Find the common denominator of (-53)\/(-30)*q*-3 and 4\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 23*m**2 + 110*m - 8. Let d be a(4). Let g be (9 - 5)*1\/(-2). Sort -1, -3, d, g.\nAnswer: -3, g, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = q - 2 + 1, -5*g = 4*q - 21. Suppose 166*p + 33*p = -58*p + 190 + 581. Find n such that 12\/11*n - 8\/11*n**p + 0 + 2\/11*n**q + 2\/11*n**2 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*z + 1 + (3*z - 2 + 2)*(1 - 2 + 2) + (1 - 1 + 2)*(-11*z + 134 - 134))*(3*z**2 - z**2 + 0*z**2) to s*z + t*z**3 + w*z**2 + v and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29987*x**3 + 13*x**2 + 13*x - 78. Let o(h) = 8074000*h**3 + 3500*h**2 + 3500*h - 21000. Calculate 3500*a(z) - 13*o(z).\nAnswer: -7500*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*v = 116*v - 360. Let b be (1\/(-4))\/(18\/v) + 500. Calculate the greatest common divisor of 45 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -58*l + 424. Let c(m) = 134*m - 848. Give -3*c(u) - 7*y(u).\nAnswer: 4*u - 424","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 774605 or 17815942\/23?\nAnswer: 17815942\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:50 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 6) to base 4\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-2)\/3))\/((-3)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-938)\/5695*-17)\/(-4*(-1)\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1182 + -1159. Sort -4, 2, b.\nAnswer: -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = 21. Let w(d) = -18 - d + 5*d + 11. Let x(n) = 5*n - 7. Let k(q) = p*w(q) + 7*x(q). Differentiate k(j) with respect to j.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-1\/5)*h))\/h)**41\/(h**(-8)*h)**(19\/3) assuming h is positive.\nAnswer: h**(-688\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**2*m**3 + 105697*i**2*m - 26*i**2 + 3949*i*m + 27*i + m**3 - 3*m - 3 wrt i.\nAnswer: 8*m**3 + 211394*m - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 < -983\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 23*i**2 + 2*i - 1. Let f be o(1). Let u = f + 8. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*p + 26 = 14*d + 178*p, p = 4*d - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-2 - 1\/1)*-1. Does 23 divide i - 264\/(-3) - (-3 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 160.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)*m**(-1\/20) assuming m is positive.\nAnswer: m**(-221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = 6*q + r, 0 = q - 5*r - 12. Solve -2*g + 0 - q = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -442, 4\/7, -43.912 in increasing order.\nAnswer: -442, -43.912, -3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -189\/3476 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -875 (base 9) to base 15.\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*q - 3*s - 11, q + 2*s = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 19*y - 27. Let f be d(16). Find the second derivative of 38*a**2 + 3*a - 26*a**3 + f*a**3 - 27 + 6*a**3 wrt a.\nAnswer: 6*a + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2*y*y)**(-14)\/(y**7\/(y\/(y*y\/(y**(1\/2)\/y)))) assuming y is positive.\nAnswer: y**(-157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 57 = 2*o - 10*y - 43, 6*o - y + 42 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**6\/60 - j**4\/12 - j**2 + j. Let v(k) be the first derivative of n(k). Find the second derivative of v(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:41 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 9:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -3*a - 9*r + 7, 0 = -5*a + 4*r. Suppose -w + 4*w + 9 = a*h, 4*h = -3*w - 9. Solve h - 10\/3*k**2 + 5\/3*k = 0 for k.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -410426*d - 7798101. Give g(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + -3 - 1 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -860, -3434, -7726, -13742, -21488?\n\"Answer: -r**3 - 853*r**2 - 8*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by 1317.\nAnswer: -37\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9772 = -w - 2*m, 3*m = 3*w - 1103 - 28177. List the prime factors of w.\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1494 + 441 = -9*t. Does 39 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53025 is divided by 8269.\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 9. Let j = 0 - r. Let z = 0.8 - -0.2. Which is the nearest to z? (a) 5 (b) -3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*p = -p + 11120, -2*u = -5*p - 11128. Calculate the remainder when u is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 - 4*w + 5. Suppose -4*c + 5*n = -45 - 79, 0 = 3*n. Let k = c + -24. Determine p(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8450 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(400) + (sqrt(16) - 1*sqrt(16))*2 + sqrt(16))\/((sqrt(180) - sqrt(20))\/sqrt(10) - (sqrt(72) - sqrt(2))*2))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27014 + -17469. List the prime factors of f.\nAnswer: 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -25. Suppose 6*j - u*j = 72. What is the remainder when j is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01429 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 9 = -4*l, -l = -69*a + 71*a + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771503 is divided by 8121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 707 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765621347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-8) - (14 + (-24 - -11)). Which is bigger: -122 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c. Let r(b) = -3*b**2 + 5*b. Let j be -3 + 2 + 0 + -4. Let h be ((-3)\/2)\/((-552)\/368). Give h*r(x) + j*f(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535352 divided by 3108?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14. Suppose 19 = l - z. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*v**5 + 4*v**2 - 4 wrt v?\nAnswer: -4560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:40 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 1:10 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (11 - (2 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 44. Let w = x - -68. Let p = 14 - 10. What is the greatest common factor of w and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/3*(2385\/(-1325))\/(12\/(-10))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 200 - 191. Which is bigger: c or 7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*q**3 + 3*q**3 - 14*q**2 + 25*q**2 wrt q.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51.5 + -49.462. Let m = 0.038 - n. Sort 2\/11, m, -0.2, 0.4 in decreasing order.\nAnswer: 0.4, 2\/11, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 6*n**2 - 4*n - 13. What is u(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 19*c - c + 10 to the form o + q*c and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - (45 + -71)) + 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 336 = -4*n, -5*n = -3*n - 5*m - 147. What is the remainder when n is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6635, -6642, -6653, -6668?\nAnswer: -6687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114 by -6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481113 is divided by 240179.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 2. Let z = 458 + -455. Let f(m) = 2*m + 1. Determine z*a(c) + 5*f(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 - h**2 + 16*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilf when three letters picked without replacement from {f: 2, l: 2, d: 1, i: 2, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 62604.\nAnswer: 62604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*c - 2064 + 1988. Solve -c*z - 5*x = 12, -3*z - 10 = -3*x - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*j + j - 5*x, 44 = -j + 4*x. Let p be (-42)\/8 - 6\/j. What is the third biggest value in p, 4, 1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -260 - -94. Let i = y - -823. List the prime factors of i.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 15 + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -3)*(-1163)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -20690?\nAnswer: 1\/20690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 40 + 44 = 0. Let p be (-56)\/140*g\/22. Is -1 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 358. Suppose -5*l + 37 = -h. Let r = 284 - l. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 396\/15 - (-4)\/(-10). Let z = -10 + o. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 305\/4, 1, 3470, -0.3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 19\/4, -0.1, -0.4 in ascending order.\nAnswer: -0.4, -1\/3, -0.1, 19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 52. Let x = 414 - 409. Solve 1 = -x*i + l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 1\/3*n**3 + 59 + 10*n + 6*n**2. Calculate k(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 12 + (-1338)\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -4. List the prime factors of 9\/m*(-28)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2033.77616524 - -0.3\nAnswer: 2034.07616524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(108) - sqrt(108))**2*2 + 3 + (5 + 4*sqrt(108)*1 + sqrt(108))**2 + -1.\nAnswer: 300*sqrt(3) + 2727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10345213353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**8\/1344 - b**7\/42 + b**6\/3 - 8*b**5\/3 + 40*b**4\/3 - 128*b**3\/3 + 6*b**2. Determine h, given that m(h) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlqvvsvvqavvq. What is prob of sequence as?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(sqrt(396)*-1*3 + (sqrt(396) + sqrt(396) + -2)*-3)**2*2*-1.\nAnswer: -31104*sqrt(11) + 1541376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*l + 119, u + l = 2*l + 23. Let y be 1\/(u\/8 + -3). Solve -13 + 1 = -y*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110.3 - -110.279796. Let k = l - -0.02. Round k to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648665.3g to kilograms.\nAnswer: 648.6653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7096 plus 240?\nAnswer: 239.2904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 3*b**2 + 5*b**2)*(-3*b - b + 2*b) + 12*b**3 + 7*b**3 - 6*b**3 + (-b**2 + 2*b**2 + 0*b**2)*(2*b + 0*b - 3*b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 251599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 74*w**2 - 3*w + 105. Let z be l(-37). What is the highest common divisor of 48 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (385\/44)\/1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 702098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 7, 2, -0.2, 5, 0.39?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 729 - 433. Let x = m + -199. Suppose -2*a - x = -3*d, -66 = 3*d - a - 164. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) 36\/11 (c) -28 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 273*l**2 - 1644*l - 41. Give n(8).\nAnswer: 4279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 113765 = -5*q, -1 + 21 = 5*q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -11, -23, -39, -59, -83, -111?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*v**2 + 127*v**2 + 146*v**2 + 137*v**2 - 640*v**2 + 112*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5520978 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = n - 17, 2*w + 0*w - 3801 = -n - 3805 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(128)*-1 + (sqrt(128) - (sqrt(128) + -1 + sqrt(128)))*4) + 1*(2 + sqrt(128) + -2)*1)**2.\nAnswer: -2432*sqrt(2) + 46272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 0 - 2\/3*a**4 + 0*a**3 - 6*a - a**2. What is the derivative of m(u) wrt u?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-15)*5*(-3)\/6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 268202?\nAnswer: 2681aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5 + 5166*i**4 + 3298600*i**3 + 19667776*i**2 + 39253056*i + 26141216 = 0?\nAnswer: -1451, -1126, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) - -2*sqrt(140)) + sqrt(35))\/(sqrt(42)\/(-3*sqrt(6))) + 2)**2.\nAnswer: -84*sqrt(5) + 2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyrqyyqxryyiyqxq. What is prob of sequence xy?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -14. Suppose -2*o - 4*j = 6, 0 = -4*o + 3*o - 4*j - a. What is the biggest value in 2\/7, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58, -265, -464, -625, -718, -713, -580, -289?\n\"Answer: 5*n**3 - 26*n**2 - 164*n + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d, 2*m + 2*d - 483 = -3*d. What is the remainder when 3205 is divided by m?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -261, -287, -349, -447?\n\"Answer: -18*f**2 + 28*f - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-200)\/(-16) + -12)*130 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 659475069527 and 0.0233.\nAnswer: 659475069527.0233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 1, h: 3, w: 4, v: 1}. Give prob of sequence qwl.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369702 = 13008*f - 1087194 for f.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 3 (b) -7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 10, n: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-20) + 76986\/36660?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c**3 + 6*c**3 - 6*c**3 + 2)*(-2*c + 3*c - 4*c)*(-3 + 1 + 5).\nAnswer: 171*c**4 - 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*3*(-5 + sqrt(13) + 1 + -2))**2.\nAnswer: -864*sqrt(13) + 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -65347 divided by 10\nAnswer: -65347\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Suppose 2*y - b = -5*g + 56, -34 = -2*y + g. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*3\/(-48)*8)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/33 and 11\/111282?\nAnswer: 1224102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -0.3. Is a at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 158?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*h + 3*t - 4, 3*h = -4*t + 20. Let v(x) = 2*x + 2. Let o be v(h). Suppose 35 = -o*s + 217. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126622540 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75439, -75440, -75441?\nAnswer: -75442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - q - 20, -6*z + 10*q + 194 = 3*z + 13*z + 8*q + 26 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193751*0.1.\nAnswer: -19375.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -17, -33, -45, -47, -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + sqrt(3267) + 2)*6 - 6*(-6*(sqrt(243) - sqrt(27)) + 4)).\nAnswer: -1656*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -25, -31, -37, -43?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and 28?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3511*i - 3515*i - 44 - 37 + 81.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329*x + 481*x + 3*x**2 + 476*x + 372*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let z be m(-1). What is the third derivative of -2*v**6 + 0*v**6 + 3*v**z + 11 - 11 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h + 22. Let i be o(-3). List the prime factors of (1*(2 + i))\/(14\/1554).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2 + 16*j + 40. Calculate the remainder when o(-4) is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 5, u: 8, q: 7}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 + 291. Let m = -93 + z. Suppose -y - 6*q = -2*q - m, -5*y + 159 = -2*q. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13008 - 16\nAnswer: -13024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*5910.674\nAnswer: -1182.1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 4*p - 47414.\nAnswer: 2*(p - 471)*(p + 453)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-222)\/2701*(-6)\/(-9). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyi. What is prob of sequence yyi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4831600 or 2\/5?\nAnswer: 4831600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21662058 and 1122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 14 = -4*p, -2*c + p - 25*p = -19*p + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i**3 - 29*i**2 - 16*i - 18. Let j(t) = 5*t**3 + 10*t**2 + 5*t + 6. Let f(b) = -17*j(b) - 6*v(b). Suppose f(c) = 0. Calculate c.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 - 11*j - 23. Let z(h) = h**2 + 2*h. Let m(q) = -d(q) + 5*z(q). What is the remainder when 179 is divided by m(-22)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**3 - 17*k**2 - 2*k**3 - 5*k + 17*k**2. Let t(n) = -n. Determine c(t(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 230 = 5*w. Let b = 123 + w. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -49, -180, -437, -862, -1497, -2384?\nAnswer: -3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-12\/7)*k**6)\/(k**(1\/2))**(-17) assuming k is positive.\nAnswer: k**(241\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - w + 2. Let m be a(2). Suppose -5*u = -7*u, 0 = -5*z + 5*u. Put z, -5, m in ascending order.\nAnswer: -5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 503779376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 9*i**2 - 11*i + 5. Let q be -3*(-3)\/(-9) + (-18)\/(-2). Determine l(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.93 - 0.7. Let y = -14.23 + t. Let u = y - -14.1. Sort -1\/3, u, -2\/7 in decreasing order.\nAnswer: u, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (-5)\/10*24. Let p = 7 + -16. Let a(d) = d**3 + 9*d**2 + d + 9. Let o be a(p). Solve o = 3*f + 1 + i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 2*r - 22. Let q be c(7). Suppose 4*s + q = i - 0*s, 28 = i + s. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -8. Let g = s + 9. Is g greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/5, -3\/2, 28, -2\/13, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62\/7 in 1\/4, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338620, 339785, 340950, 342115, 343280?\nAnswer: 344445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6000760 and 1312.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 458277143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -377, -816, -1327, -1910?\nAnswer: -2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 2. Let b be s(0). Suppose -2*m - 2*m - 6 = -h, 0 = -m - b. Let l(o) = -2*o**3 - o. Calculate the remainder when l(h) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 79 + 104 = 0, -5*h - 20 = -3*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 913*h + 740*h**4 + 574*h - 716*h**4 - 666*h**4 wrt h?\nAnswer: -7704*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/3)\/2)\/((-750)\/4875)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*y + 761 = -19*y - 599 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/9 - 8110*v\/3 + 24328\/9 = 0.\nAnswer: 1, 12164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.098? (a) 0.4 (b) -68 (c) -4\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 22, -2 in decreasing order.\nAnswer: 22, 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 123*b = 6*n - 5*n + 295, 1 + 5 = 3*b - 3 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 8 = 25*h. Is h\/(-7) - (-16)\/(1232\/1436875) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + d**3 + 3)*(-2984*d - 83 + 175 - 92) + 2*d**4 - 2*d**4 - d**4 as a*d**4 + u + w*d**2 + h*d**3 + y*d and give a.\nAnswer: -2985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30619 + 30620. What is the third smallest value in b, -92.19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = p - 3, 3*n - 2*p = -7*p - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 11, x: 3}. Give prob of sequence ka.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4784507, -4784509, -4784511, -4784513, -4784515, -4784517?\n\"Answer: -2*i - 4784505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392623 times 0.04?\nAnswer: -95704.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*r**2 + 255*r**2 + 215*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -84092.\nAnswer: 756828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -866*n + 252014. Give c(291).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 2. Let m be h(-2). What is the units digit of (9\/m)\/((-7)\/(-14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2464e7 (base 15) to base 14.\nAnswer: 3350c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2 - 111820*k + 223636 = 0.\nAnswer: 2, 111818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u - 9\/2*u**2 - 4. Calculate p(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130)*-3 + sqrt(130)))\/sqrt(10).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/211 + -623\/1055. Let t = -11 + 8. Let r = -2.9 - t. Which is the second biggest value? (a) r (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -24*b + 62. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + 15 + -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*s - 8*s. Suppose -18 = -s*u + u. Calculate the lowest common multiple of 2 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 69 - 69)*(2*h**2 + 3 - 3) - 2*h**3 + 5*h**3 + 0*h**3 to s*h**3 + z*h + c + t*h**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 4 - (-26 + -37). Calculate the highest common divisor of h and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2881 by 4.\nAnswer: 2881\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 14*y**2 - 17*y - 19. Determine d(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)\/(u\/(u**(-26)\/u))*(u**(-5)*u)**(2\/7) assuming u is positive.\nAnswer: u**(-218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*u + 287486*g**3 + 21*g**2*u + g**2 - 3*g + 56*u - 39 wrt g?\nAnswer: 12*u + 1724916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 74*(-1)\/51 + 36\/27\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 2 + 0 + 1 + (5*a + 3*a - 27*a)*(21 - 21 + 3*a**2) + 2*a**3 + a - a.\nAnswer: -52*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35956618 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 86401a7?\nAnswer: 8640203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 3}. What is prob of picking 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(28\/16 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4 = 8. Is j - 16\/4 - -613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Suppose 0 = -j*z - 3*z + 1930. Let s = z + -265. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 9 = 383*i - 382*i, 4*r - 22 = -25*i for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -910 and 3?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 5*j**2 + 4*j + 6. Let g be z(-4). Suppose -5*k = -g*k + 18. What is the units digit of (2*1)\/(12\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766215?\nAnswer: 3, 5, 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (5\/(25\/(-5)) + 2). Solve 5*g = 3*g + 3*m, 3*m - 6 = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j + 0*j**3 + 6*j**2 + 1\/20*j**5 + 0 + 0*j**4. What is f(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*u = -403*u - 39552. Calculate the remainder when u is divided by 117.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -3\/5, -11634, -0.5 in decreasing order.\nAnswer: 1.2, -0.5, -3\/5, -11634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4*h - 2. Let v be l(-2). Suppose 0 = 2*i - 2, 4*x - 37 = -v*i - 3*i. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 3:21 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t - 5*t + 20*t - 5*t - 6*t. Let a(n) be the second derivative of -5*n**3\/6 + 2*n. What is 5*a(f) - 4*q(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 74) + 27 - (13 + -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(21)\/(6*sqrt(252) - sqrt(252)) - -1*sqrt(12)\/(-3*sqrt(4))))**2.\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 34. Let t = y + 19. Suppose t*h - 3*k = 110, -2*k + 44 = 2*h + k. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11000101?\nAnswer: 11000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -5*n - 207369*x + 207374*x, n = 3*n - 4*x - 102 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b**2. Let w(f) = -f**3 + f**2. Let y(j) = 2*q(j) + w(j). Factor y(p).\nAnswer: p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**1*w)))\/(w\/(w*w*w*w**(-1\/5))))**(-6\/5) assuming w is positive.\nAnswer: w**(-114\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -158?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 213104 = 11*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-18))\/((-1)\/(-2)))\/((-8)\/168).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 752 a factor of 2687648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a5a + -118570?\nAnswer: -12051a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w + 576 = 16*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-760)\/(-40) + (1 - 8). Solve d = 5*c - 8*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 31*k - 6. Let w be c(1). Calculate the greatest common divisor of 15 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 10. Suppose 3*v - 2*d + 4 = -6, -y*d = -4*v - 14. Suppose 0 + 3 = 3*x. Sort 3, -6, x, v in decreasing order.\nAnswer: 3, x, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/116980 and 73\/36?\nAnswer: 1052820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 260*t + 23 = 265*t, -s - 16 = -4*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 251*o + 3477 - 10756 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**3\/6 - 2*v. Is s(-6) 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 56119451?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 579221*l - 2*l**3 - 3 - 8*l**3 - 579218*l. Let j(v) = -39*v**3 + 13*v - 13. Determine 6*j(z) - 26*u(z).\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3644, -10000, -19070, -30860, -45376, -62624, -82610?\n\"Answer: -r**3 - 1351*r**2 - 2296*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 - 176. Suppose -4*y - y + 4*r = -55, h*y - 3*r = 45. Calculate the remainder when y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 3*v**2 - v + 1. Let g be w(-2). Let t(y) = y**2 + 2*y + 1. Let r be t(g). Let h be -4 - (-230)\/(-45)*-1. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*t + 31 = 0, 37 = c - 5*t - 2. Let q be (-1)\/((1\/c)\/(-1)). List the prime factors of (q\/(-3))\/((-2)\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00296509 rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5390804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-16))\/(-2*6\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -46. Let p = -7 - q. What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 112\/4*((-9)\/(-2424))\/(135\/(-300)) and 8\/33?\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 + 73545?\nAnswer: 73576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/(sqrt(10) - sqrt(10)*-4) + -2 - ((sqrt(5) - sqrt(55)\/(5*sqrt(11)) - sqrt(5)) + sqrt(495)\/sqrt(11)).\nAnswer: -11*sqrt(5)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**5\/35 - 3*u**4\/4 - 47*u**3\/21 + 3*u**2\/2 + 46*u\/7 + 11. Let p(c) = 0. What is c?\nAnswer: -2, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -50, -2, 6, -5 in increasing order.\nAnswer: -50, -5, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*b = -61, 298*b = -36*w + 293*b + 509 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 7*g + 13. Let w(u) = u**3 + 11*u**2 + 9*u - 10. Let c be w(-10). Suppose -4*s = -c*i - 3*i - 8, 0 = -4*i - s - 36. Is y(i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201311020 - 1?\nAnswer: -201311021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/((-28)\/96) - (3 + 1). Suppose 8*c - k = 12. Solve -x - c = -0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/2)\/(-1) - 2. Let m = 0.26 + -0.06. Let j = -0.17 - 0.03. What is the closest to p in j, -1\/6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413136 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 2*k + 28 = 0, 232*k = 228*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*k - 4)*(-k + 0*k + 0 - 5)*(-5 + 3 + 3)*(0 - 2 - 3).\nAnswer: -15*k**2 - 75*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26299579\/51898420 + 2\/350665. Find the common denominator of 37\/10 and d.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 278617691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + ((-555)\/60 - (-10)\/40). Suppose -3*u + 6 = -2*j, 4*u - 7 = -j + 4*j. Solve u*m = -3*w + 7, z - 2 = 4*w - 3*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11547 (base 8) to base 14.\nAnswer: -1b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894328210?\nAnswer: 2, 5, 89432821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(20) + (sqrt(180)\/sqrt(3))\/sqrt(3))\/sqrt(10) + -2) + -1.\nAnswer: -11 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 9. Suppose -10 = -5*r, 13*w - 8*w - r - 33 = 0. Determine y(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -42. What is the remainder when 53 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 103.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from fkkfkf.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -134, -5, -984?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 10) in base 3?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -67, 1 in increasing order.\nAnswer: -67, -7, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 4661?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -40. Let p(m) be the first derivative of 0*m**4 - 2\/5*m**5 + j*m + 0*m**3 - 3\/2*m**2 - 1. What is the second derivative of p(y) wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11 - 99 = 0. Suppose -36*o = -31*o + k - 101, -4*o + 70 = 2*k. What is the highest common divisor of d and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**2 - 11*i - 4. Let c(b) = b**2 + 2*b. Let u(f) = -6*c(f) - t(f). Let d(p) = 1. Determine d(l) + u(l).\nAnswer: l**2 - l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**8\/6720 - p**7\/2520 - p**6\/720 + p**5\/120 - p**4\/2 + 8*p. Let r(i) be the third derivative of x(i). Calculate r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(242).\nAnswer: 4 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3 - 21*w + 54*w - 19*w - 12*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451250529 to the nearest integer?\nAnswer: 21243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**4)\/x)**3)**(-42) assuming x is positive.\nAnswer: x**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 7*a**2 - 9*a + 7. Let w be n(6). Let k(r) = 2*r - 11. Let v = -22 - -28. Let q(x) = -2 + x - 5 + 1. Calculate v*k(z) + w*q(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 6, 32, 70, 120, 182?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 + 79*m - 23. Let d be r(26). Let k(o) = -d - 5 - 2*o - 11*o**3 + 1 + 6 - o**2. Determine k(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 14 = 3*q - 5*v, -v + 12 = 4*q. Let u be (-4)\/((2 + -4)*1). Suppose -5 = -l + u. Calculate the remainder when l is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -149\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/500*8)\/(26\/195).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -44.2. Let b = 2 - 3. What is the third biggest value in -4, b, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-3 + 2\/2). Suppose -5 = -t - f. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480 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 j(v) be the third derivative of -v**8\/1344 - v**7\/420 + 7*v**6\/160 - 11*v**5\/120 - 5*v**4\/24 + v**3 + 2*v**2 + 324. Let j(m) = 0. What is m?\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 - 5)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3752448 and 23\/791532.\nAnswer: 101316096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*528\/(-108))\/(-5*6\/45).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nin when three letters picked without replacement from {f: 2, i: 6, n: 2, e: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1296))\/sqrt(12).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448208 divided by 4112.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.2. Let d = 0.1 + 0.4. Let r = -20.2 + 20. What is the nearest to r in g, d, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-15))\/((-98)\/12))\/((-131)\/260428*-71)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4667902, -18671629, -42011174, -74686537, -116697718, -168044717, -228727534?\nAnswer: -298746169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.097 to three dps.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 3296*l**3 + 29562*l**2 + 69016*l + 36157.\nAnswer: (l - 3287)*(l - 11)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 + 16?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*o - 108 = 0, 2971*z - 3*o = 2974*z - 60 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 223, -4, 0, -338, 3, -126 in ascending order.\nAnswer: -338, -126, -4, 0, 3, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 7*v + 3542 = 0. Suppose 24*b + v = 38*b. What is the remainder when 90 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8608 + 8608 - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, and 1 m when three letters picked without replacement from {m: 5, v: 2, i: 5, o: 3, q: 4}.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 3. Let k be y(6). Let i be 0 + (-2)\/(-1) + 0. Suppose 0 = -c - i + k. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6226.31231 rounded to the nearest one hundred?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 (base 13) in base 7?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/57 or -500.94?\nAnswer: -25\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjggggggggjjgj. Give prob of picking 3 g.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30663 and 969?\nAnswer: 9904149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + h + 154 = 82, 2*h = 3*q + 81 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -23*j**2. Let m(u) = -3657*u - 10. Determine m(d(o)).\nAnswer: 84111*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 1. Let u(k) = k**3 - 8*k**2 + 13*k - 2. Let r be u(6). Sort 3, 1\/3, r, w in descending order.\nAnswer: r, 3, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -11\/3, -1489, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w + 0*w)*(w**3 + 2*w**3 - 2*w**3).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, 1 c, and 1 u when four letters picked without replacement from bqqczzbzbzzubqcbub.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450250627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 144, 0, -85, -179, -7.\nAnswer: -179, -85, -7, -4, 0, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4939.63372 to the nearest 100.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109952 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (12 + (-71 - -16))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12998 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 535d1 (base 16) to base 3\nAnswer: 122100101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1358, -41.\nAnswer: -41, -4, 1358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 135*m**5 - 455*m**2 + 455*m**2 + 3*m**3 - 3*m**3 - 2*m**5 + 2*m**5 - 4*m**5 + 0*m**5 + (-m**4 + m**5 + m**4)*(4 + 1 - 3) + 4 + m**5 - 4.\nAnswer: 134*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 945\/2520*(1\/(-2) + (-70)\/(-108))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 38*i - 96920048 - 53554354 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-1215)*(151 - -1) - (-2)\/15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -4*z - 9*b - 19, 4*z = 2*b - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 688*p + 198835. Determine n(-289).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -6269 - -6269. Sort m, -362, 4\/5 in decreasing order.\nAnswer: 4\/5, m, -362","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 - 18 = 0. Let h be 9\/(1 - -5 - z - -2). Solve 2*u - 11 = 5*j, -14*j - 17 = -h*j - 4*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311302 - 1223130?\nAnswer: -2201032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = -2*z + 2, 0 = -2*j - 2*z + 30. Suppose -3*t + 0*h = -5*h + 3, t - j = -3*h. Is t\/(-10) + (-20364)\/(-60) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuwuww. What is prob of sequence uwww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5 - 4*f + 6*f**2 + 2 - 7*f**2. Let v be c(-4). What are the prime factors of (2\/(-3))\/(v\/(-735))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -42) + -76 - -87.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o. Let g(m) = 3*m - 7. Let s(d) = -2*d + 5. Let z(h) = 5*g(h) + 7*s(h). Let c = -10 - -4. Let p = -8 - c. Give p*n(a) - 11*z(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-5 - -1)\/2. Let y = -1 - b. Is y > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 5*n**2 - 5*n - 3. Suppose -5*a + 2*s = -48, -3*a = 2*s - s - 20. What is the remainder when d(-5) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*t + 11 = 0, 5*t - 295 = -3*b - 249 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 1:48 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -10, 0.01, -293?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -26, -39, -44, -35?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11150 - 0?\nAnswer: 11150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 2*s + 17*s + 153 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/10164 and -1\/20400?\nAnswer: 17278800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-8))\/((-1)\/26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least -75594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(3) + sqrt(6))*3)\/((sqrt(3) - sqrt(48))*6).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -15. Suppose -p*v - 18 = -5*k - 43, 5*v - 16 = 2*k. Solve 0 - v = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.5 + -314\nAnswer: -329.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 16*c = -2648. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*l**3\/5 + 87*l**2\/5 - 234*l\/5 + 24.\nAnswer: -3*(l - 5)*(l - 4)*(3*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.60947 - 4.61. What is s rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19156073, 38312150, 57468227?\nAnswer: 76624304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619052 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 0.37 (b) -2\/17 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - -1. Let r = s - -2.2. Suppose 12 = 3*l + l. Which is the second biggest value? (a) l (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285322, -285332, -285342, -285352, -285362, -285372?\nAnswer: -285382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3626933157 minus 1.4?\nAnswer: -3626933158.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5.26, 3, 0 in ascending order.\nAnswer: -5.26, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 309553.717 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:01 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -3947?\nAnswer: -1184.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1235836016.\nAnswer: 6179180080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.5. Suppose 2*x + 8 = -0*x. Let s be 6\/(-40) - x\/10. Sort q, -4\/3, s.\nAnswer: -4\/3, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.26, -1, -1\/7, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*v - 12, v + 2 = 3*q - 2. Suppose 4*i = -5*z + 724 + 6264, q*i = 2*z - 2806. Round z to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 38 - 42)*(k**2 - k**2 + k**2).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5, 35, -0.5, 9\/16, -5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 39 + 4*g**2 + 42 - 3*g**2 in the form v*g + o + w*g**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88868 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**5\/20 - d**4\/4 + d**3\/6 + d**2 - 12*d. Let s be y(2). Solve -2*p + 5*u - 5 = s, 4*p - 10 = -3*u - 33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -28*f + 1641. Let u be j(59). Let w(k) = 42*k + 9. Let y(p) = -21*p - 5. Calculate u*y(x) - 6*w(x).\nAnswer: -21*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -2*n**2 + 0*n**3 + n + 0 + 1\/3*n**4. Calculate the remainder when y(3) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*o + 1, -g + o + 33 = 3*g. Suppose -2*k + g = -c + 6*c, c - 23 = 5*k. What is the remainder when ((-18)\/(-2))\/(1\/1) is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let m be y(3). Let r be ((-1)\/((-3)\/m))\/1. Suppose 5*d = 10, r*p + d - 16 = -d. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23899 and 0.03?\nAnswer: 23899.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-893*j**2 - 1166*j**2 + 1653*j**2)*(j - 3 + 3) in the form m*j + v*j**2 + t + r*j**3 and give r.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-140) + (-22)\/(-14))*805\/(-35).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 12*x + 6. Is (-4782)\/x - -1 - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r - 7. Suppose 3*u = -0*f + 3*f - 6, -u - 4*f + 13 = 0. Suppose r*i = 3*i + u. What is the greatest common divisor of i and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*n + 40, 2*n + 2*q = -1 - 1. Suppose 10 - 2 = 2*g. Are n and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 1\/66*m**5 - 3\/11*m**3 - 1\/44*m**4 + 0 + m - 1\/660*m**6 - m**2. Find x such that k(x) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5837, 6133, 6429, 6725, 7021, 7317?\nAnswer: 7613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-26) + (-50688)\/(-2574). Solve 5*o = -5*k - 0*k - r, -4*k - 7 = -5*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2. Let h(p) = -p**2. Let v(w) = -7*h(w) - 6*y(w). Suppose 5*b - r - r = 22, -4*b + 20 = -4*r. Let n(m) = -5*m - m + 8*m - b*m. What is v(n(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 759, 1515, 2269, 3021, 3771?\n\"Answer: -i**2 + 759*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1002.3 - 1000.3. Which is greater: p or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 52. Solve -2*q + 2 = b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y + 8. Suppose y*z + 6 = -2*n, -z + 2*n + 1 = 5. Let r = 1 - z. Sort r, 1, 0 in descending order.\nAnswer: r, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(1\/3)*y)\/y)\/(y*(y\/y**(-1))\/y))**(-12)\/(y**(-1)*y**(-8)*y*y**(2\/11)*y**(-1\/5)*y) assuming y is positive.\nAnswer: y**(1266\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 7, b: 5, e: 6}. Give prob of sequence wb.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(1\/3)*z)\/z)**(7\/11))**(-2\/67) assuming z is positive.\nAnswer: z**(-28\/2211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*p - 4*h, -12*h + 11*h = p + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 472\/(-5605)*5\/4\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (-4 - 5 - -7) + (-3 - 7) - 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.48 + 17. Let y = -269.531 - -268.1. Let r = y + s. Round r to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 9\/2*g + 1\/2*g**3 - 3*g**2 = 0. What is g?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -703 + 488. Let g = a + 421. List the prime factors of g.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1011110011?\nAnswer: -1011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 66*c**3 - 8*c**2 + 3*c - 3. Let f be o(-2). Let b = f - -839. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 165 - 4*x)*(-2 - 3 + 2*x + 2).\nAnswer: -8*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -273965, -547943, -821923, -1095905?\n\"Answer: -g**2 - 273975*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-77)\/(-33))\/(56\/(-36)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + -29 + -2*1. Let b(c) = -24*c - 92. Let u be b(-6). Let i = t + u. What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 1 - 10*j + 12. Let x(o) = 2548*o + 2546*o + 2546*o - 6 - 10183*o + 2548*o. Calculate 4*d(m) + 9*x(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -584\/12979?\nAnswer: -584\/12979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27734, 27393, 27054, 26717, 26382, 26049, 25718?\nAnswer: 25389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttgt when four letters picked without replacement from {t: 1, g: 3, d: 3, k: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 13. Let g be d(7). Is g >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/360 and 87\/11120.\nAnswer: 100080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8647133 centuries to millennia.\nAnswer: 0.08647133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 941447579 to the power of 1\/2, to the nearest integer?\nAnswer: 30683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y - 25*y + 23*y**2 - 24*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6309068 litres?\nAnswer: 630.9068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11180 <= 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4618.993 - 4614. Let a = 0.093 - w. Let o = 0.2 - a. Round o to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 10 - 4)*(4 + 0 - 6)*(0*t**3 + 0*t**3 + 5*t**3) - 2*t + 2*t - t**3 in the form s*t + m*t**2 + c + i*t**3 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**3*t**3 + 28*r**3 - 2*r*t**4 + r*t**2 - 801*t**4 + 2 wrt t?\nAnswer: 6*r**3 - 48*r*t - 19224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/14 + (16 + -6 - 3) + -4. Let o = -74 - -964\/13. What is the biggest value in -0.5, -26, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 226539, 226533, 226523, 226509, 226491?\n\"Answer: -2*h**2 + 226541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1829 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b + 16 = 0. Solve -3 = -3*v + b*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 291 - 297. Let s = 5 - 10. Sort -0.2, q, s.\nAnswer: s, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)\/(b\/b**(-3))*(b\/((b\/((b\/(b\/(b*b**(1\/22))))\/b*b))\/b))**(2\/77))**(1\/15) assuming b is positive.\nAnswer: b**(-844\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -5*b + 6897 - 6928, 4*b - 5*x + 35 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.3 (c) -45\/2 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (735\/(-28))\/(-35)*(-672)\/18?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(384))\/sqrt(12).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -337.9698 + 338. Round q to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11055789 by 3.\nAnswer: 3685263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -72 (b) 2\/13 (c) 17777\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -13*j + 297. Round j to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -44. Let b = -5 + f. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 10 + 10. Let x be (-20)\/15 + (-22)\/6. Let n(t) = -7*t**2 - 14*t - 2. Let i(h) = -11*h**2 - 21*h - 3. Let r(a) = x*i(a) + 8*n(a). Determine r(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9736381 is divided by 721.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + 55*m**2 - 50*m + 852. Give c(-20).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 3\/4 (c) -6056 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 71*n + 1025 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -4415, -9945, -17675, -27611, -39759, -54125, -70715?\nAnswer: -89535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161.955 - -493.035. Round o to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1 + sqrt(700)) + sqrt(700) + (sqrt(700)*-1 - sqrt(700))*-5)**2 + 2*(sqrt(700) + 0) + 1)*3*-1*-1.\nAnswer: 4860*sqrt(7) + 537678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 4.8 (c) 0 (d) -2 (e) -0.219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.18? (a) 2\/5 (b) 3 (c) 5\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 + 318. Calculate the remainder when f is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x + 2*d - 196 = 0, -3*d + 17 = -6*x - 46 + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025*t + 7688 = -17937 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c + 3. Let f(l) = l + 1. Let x(r) = -a(r) - f(r). Let k(d) = 3*d**2 + d**2 - 5*d**2 + 2 - 5. Let w(v) = 3*k(v) - 2*x(v). Factor w(j).\nAnswer: -(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1999262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/5 (b) 0.1 (c) -2 (d) -3 (e) -1.4 (f) -7\/26 (g) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*w - 15*w - 30*w + 390 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0450827671 * 0.1\nAnswer: 0.00450827671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*p + 1 + 7, -4*p = -16. Let d(l) = l + 6 - 4*l + q. Suppose 0*s + 20 = 5*s. Give d(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40123303 is divided by 143?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(600\/16)*(-108)\/8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 47*x + 164 = 0. Sort -4\/613, x, -0.3 in decreasing order.\nAnswer: -4\/613, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.725114 + 0.725. What is l rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5250.286453 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = -10. Let f(u) = u + 1. Let m be f(-1). Suppose m - 6 = -3*v. Is c != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 5. Let l be q(0). Suppose -l*o = -181 + 6. Let g = o + -12. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6351768.\nAnswer: 2, 3, 47, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95622 - -95611. Let c(z) = z**2 - z. Let o(a) = 5*a**2 + 8*a + 7. Let x(s) = -4*c(s) + o(s). What is x(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 19*j - 4. What is c(13)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -83*q**2 + 6*q - 6. Let m(l) = -l**2 - l + 1. Let o(j) = 6*m(j) + u(j). Let y(v) = 2*v**2. Give y(o(a)).\nAnswer: 15842*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000644 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.3 - -25.9. What is the closest to -1 in -5\/4, 0, g?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 2*q**3\/9 - 1296*q**2 + 2519424*q - 1862. Determine c, given that p(c) = 0.\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(38\/66 - 1) and -45\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*o + 3 = -13, -4*k - 17 = o. Put 2, k, -4 in decreasing order.\nAnswer: 2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154520 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 39. Let g(v) = v**3 - 10*v**2 + v - 6. Determine g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4651, -741, -9733, -22325, -38517, -58309?\nAnswer: -81701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2095 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 823753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 3. Let h(i) = -i**3 + 8*i**2 - 9*i + 13. Let u be h(7). Let d be f(u). Sort d, -4, 11 in descending order.\nAnswer: 11, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269459 is divided by 66?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 3, g: 3, j: 3, p: 3}. What is prob of sequence jbg?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51771*i**2 - 12934*i**2 - 12986*i**2 - 12924*i**2 - i**3 - 12927*i**2 + 0*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20698 and 786.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382379786.\nAnswer: 2, 3, 17, 97, 46573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8641.5 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49320285 is divided by 3117.\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h**2 + 0*h**2 + 5*h**2)*(h - 2*h + 2*h) + 0 + 2*h**3 + 0 + (3*h**2 + 0*h**2 - 4*h**2)*(3 - h - 3) - 82*h**2 + 7*h**3 + 82*h**2.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Suppose 0 = -i + 3*i + 5*f - 25, r*f - 6 = 0. Suppose -o + 4*h = -i*o + 72, 44 = 4*o - 3*h. What is the remainder when 26 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322629?\nAnswer: 7, 11, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*h**3*y**2 + h**3 - 2*y**2 + 178 wrt h.\nAnswer: -30*h**2*y**2 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16.9*-700242\nAnswer: 11834089.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + h - 17 = 0, 0*k + 5*k = -2*h - 106. Let b = -6 - k. Let s = b - 12. Solve 3*m = -p - 4*p - 5, 5*m - 2*p = s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + 0*z**5 - 3*z**5 - 4*z**5 + 0 + 0 + (-z**2 - 4*z**2 + 3*z**2)*(z + 2*z**3 - z).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) 2.5 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 120, 370, 852, 1644, 2824, 4470?\nAnswer: 6660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 11. Let g = 4 - o. Solve 20 = -g*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-19) - 342672\/(-24662)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251.915268 - -251.91. What is z rounded to 4 dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 613*w**6\/60 + 1163*w**5\/30 - 1502*w**2. What is the third derivative of v(d) wrt d?\nAnswer: 7356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 + 15 = 0. Determine n so that 8 + 14*n**2 - n**3 + 28*n - 6*n**2 - 3*n**c + 16*n**2 - 8*n**4 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 2919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13aa1e (base 16) in base 3?\nAnswer: 2102110210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, s: 16}. What is prob of picking 1 s and 2 q?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122872 by 509.\nAnswer: -122872\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**4\/8 - d**3\/6 + 67*d**2 - 2*d. Determine u(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 42145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(((w\/((w*(w*w\/(w\/w**(6\/23)))\/w*w)\/w))\/w)\/w)))\/w*w*w)\/w*w*((w*w**2*w)\/w)\/w*(w\/(w\/(w\/w**1*w)))**40)**(-1\/16) assuming w is positive.\nAnswer: w**(-937\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 9*r + 20. Let j be t(-5). Solve -3*v + 4*v + 4 = j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6746759 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 13*s - 65 = 0. Is -13 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1371*t + 103*t + 37913 = 251*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70944*z**2 + 340566*z - 2 wrt z.\nAnswer: -141888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -3, 818, -77, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/3 (b) -0.047 (c) 1\/3 (d) 0.2 (e) 337 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.1 (c) 24903.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -13.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 13.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1694)*-1 + sqrt(1694) - sqrt(14) - -1*sqrt(56))\/(sqrt(112)\/(sqrt(16) - sqrt(4)))*-1)**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*w + 11*w + 1 - 3.\nAnswer: -111*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37896980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -3 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -14097?\nAnswer: 5638.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -1\/1200*q**6 + 0 + 1\/200*q**5 - 1\/20*q**3 - 185*q**2 + 1\/240*q**4 + 0*q. Solve h(g) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*g = 25, -5*g + 2 = 4*u + 7. Let f(d) = d**3 + 7*d**2 + 6*d + 5. Give f(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (400\/1700*17)\/((-33)\/15)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(224\/16)*(-6)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 6*u - 39. Suppose -u*n = t - 19, -7*t = n - 10*t + 9. Suppose 2 = 4*f - 14. Solve n*m = g + 2, -f*m + 9*m = -3*g - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/12 - h**3 + 3*h**2\/2 + 16*h. Calculate v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49243 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-13)*-2*(-25)\/(-40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123342, 493362, 1110062, 1973442, 3083502?\nAnswer: 4440242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 122625 = 27*a + 4*f, 163497 = 4*a - 5*f. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54988 and 1180.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.7, 0.2, -31\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 113 = 3. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbad when four letters picked without replacement from aodbdbaddoda.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1 - -2) + 2 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 2\/1)\/(-5) - 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 5. Let h(z) be the first derivative of z**3\/3 + 2*z**2 + 2*z - 3. Let a be h(-4). Suppose a*b - 2*i = i + 6, 8 = 4*i. Determine p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*d = 5*n - 297*d + 50, 3*n - 3*d = 54 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 1001700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 + 39441*k - 197204\/5.\nAnswer: -(k - 197204)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Let g = 1487\/15 - 99. Do g and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*p - 125*p - 95 + 95 as j*p + f and give j.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a + 5*a - 3*a as f + i*a and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238656 and 529518?\nAnswer: 16944576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18013 (base 16) in base 5?\nAnswer: 11121243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 848 + -932 - ((-1 - 8) + 3)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n - 36 + 36 in the form a*n + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3729, 3669, 3567, 3417, 3213, 2949, 2619, 2217?\n\"Answer: -t**3 - 15*t**2 - 8*t + 3753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/12 - l**3\/6 + 3*l**2\/2 - 3*l. Let h be o(0). Is 4*1*(h - -8) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -3*z**4\/4 - 4*z**3 - 15*z**2\/2 - 6*z - 2. Factor j(o).\nAnswer: -3*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -432, -0.1, 0.2, -0.01, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 204 = -471. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112222122 (base 3) to base 7\nAnswer: 43565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/5 + 5*k**2\/2 - 10*k. Let s(t) be the first derivative of a(t). Let i(c) = -2*c**2. Determine i(s(v)).\nAnswer: -288*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159017212 to the nearest integer?\nAnswer: 12610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + (-214239)\/324. Let c = -661 - p. Calculate the common denominator of 0\/1 - (-4)\/10 - (-62382)\/29970 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-4050)*-10 + (-1)\/9\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2657 (b) 3 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*g - 42*g - 38*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tmtmxmmx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 8) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*f - 4062 = 1500 + 4262 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11861 and 6061?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-4667))\/((-175)\/(168350\/(-148))).\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 51983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(18)\/sqrt(3)) + -1 + sqrt(320))**2.\nAnswer: -18*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**2 + 20*d - 4. Let n be q(3). Suppose -n*l + 3*t = -32, 8*t = -5*l + 5*t + 80. Calculate the remainder when 175 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1694))\/(sqrt(288) - (sqrt(288) + 3*sqrt(288))).\nAnswer: -11*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let o(z) = -z**3 + 12*z**2 - 10*z - 13. Let c be o(10). Suppose f + 4 - 3 = q, -4*r - 5*f + c = 0. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (12 - 5) - (-16 - -8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1525869 and -8113.\nAnswer: -1533982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 164, 212, 284, 380?\n\"Answer: 12*v**2 + 12*v + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 683114985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + -66. Let y be 24\/(-60) - (-104)\/10. Suppose 0 = n*m - 11 - y. Solve 3*u + 16 = -2*a, a + 24 = -m*a - 4*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 3\/(-3) + -2. Suppose -8 = -2*l - g*l. What is the second derivative of q**3 + 2*q**3 - l*q - q**3 + 2*q wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 50, 0 = -104302*f + 104304*f + 4*i - 42 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -15 - (220 - 201)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 1, d: 2, n: 1}. What is prob of picking 1 d and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91253*w**3 + 2*w + 3354*w**3 - 2*w.\nAnswer: -87899*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y**(-6)\/y)\/y)))\/y**(1\/9))\/(y**(1\/7))**(-33) assuming y is positive.\nAnswer: y**(-214\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 24, 4 in descending order.\nAnswer: 24, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-279)\/18)\/(2\/(-4)) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1868 = -3*j. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3 + 9. Suppose 5*w + w - f = 0. Suppose -4*j + w - 5 = v, -3*j = 4*v - 49. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.045677 from -1124.4.\nAnswer: -1124.354323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, -155, -225, -293, -359, -423, -485?\n\"Answer: o**2 - 75*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*y = 5*q, 3*q = 2*y - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.30006292163 + -2?\nAnswer: 0.30006292163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 2:08 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at least as big as 510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/54)\/((-936)\/(-837)) + (-8)\/(-12). Suppose 0 = 2*w + 4 + 6, 23 = -2*s - 5*w. Is s != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -z - 0*l, 4*z + l + 4 = 0. Let q be 1 + (1 - (z - 16)). Let f be 76\/q - 10\/45. Solve 4*u - 16 = 4*s, 4*u + 5*s + 9 = f*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 + 40 - 119 - 9*n - 118.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -33. Let w = 10.5 + c. Sort 9, 3, 2\/9, w in decreasing order.\nAnswer: 9, 3, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 180400624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**4\/8 - 3*t**2 + 52*t. Let c = 3 + 0. Let m(d) = 0 + 0 - c*d. Determine m(a(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-6))\/((-8)\/456). Let u = -166 + r. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101488 is divided by 6764.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 1. Let r(g) be the third derivative of 0 + 0*g - 19*g**2 + 0*g**3 + 1\/12*g**4. Give -4*h(x) + 9*r(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -207611*i + 207738. Calculate v(1).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/6 and -71\/442.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*w - 133*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 16, -11, -1, 3 in ascending order.\nAnswer: -11, -4, -1, 0, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2413*d**3 - 5*d**2 - 38400.\nAnswer: 7239*d**2 - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose 0 = -r*h + h + 2. List the prime factors of 6\/(3 - h) + 31.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30395 - -30400. Factor -38900\/3*d**2 + 4052\/3*d**3 - 154\/3*d**4 - 31250\/3 + 66250\/3*d + 2\/3*d**j.\nAnswer: 2*(d - 25)**3*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 3*t**4\/20 - 6*t**2\/5 + 12. Factor b(h).\nAnswer: 3*h*(h - 2)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58862 and 5542322?\nAnswer: 3098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/4 + -3\/4. Let u(n) be the second derivative of -4\/3*n**4 - n + 0 - 4\/3*n**3 - q*n**2. Factor u(i).\nAnswer: -(4*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.8355 - -3.8355. Put -20, -13, 3, -0.5, a in descending order.\nAnswer: 3, a, -0.5, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*a = -22, g + g + 5*a = 70. Let y(t) = t**2 + 21*t - 8. Let p be y(-22). What is the least common multiple of -7 + 5 - -1*p and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l\/l**0)**(-4\/23) assuming l is positive.\nAnswer: l**(-28\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2619870 or 2619804?\nAnswer: 2619870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2*z + 0 + 0*z**3 + 0*z**4 + 7\/20*z**5 - 2*z**2. Differentiate h(y) wrt y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13033 + -13030. What is the biggest value in z, -95, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**5 - 73*t**4 - 106*t - 1.\nAnswer: -60*t**3 - 876*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 15 - 5*g**2 - 21.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from {t: 14, b: 4}.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*2*-2 + sqrt(78))*2)\/(1*sqrt(66)\/(sqrt(11)*2)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 13. Sort -4, 5, d in decreasing order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Let y(k) = -3*k. Let j(u) = -16*u + 1. Let f(z) = 2*j(z) - 11*y(z). Let t be f(-3). Which is the third smallest value? (a) t (b) o (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - 3*l + (-11 + 46 - 10)*(5*l - 2*l - 4*l) + 5*l - 2*l - 4*l + 0 + l + 0 + l + 2*l - l + (2 + 2 - 3)*(-l + 6*l - 3*l) + 0 + 2*l + 0.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-22)\/(-55))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21961.\nAnswer: 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 806014 + -2417978\/3. Factor 512\/3 + 2\/3*f**2 + u*f.\nAnswer: 2*(f + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 88*l - 6*l**2 - l**4 + 266*l - 93*l - 90*l to the form a*l**4 + p*l**3 + k*l + u*l**2 + f and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40516 and 0.3?\nAnswer: 40516.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 2038397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 46. Solve -f + s = 4, -4*f - 2*s + 5 = -g*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1512\/5 - -322. Let l(h) be the first derivative of -4*h**2 - 16*h**3 + 2 + 0*h + z*h**5 - 21\/2*h**4. Suppose l(f) = 0. Calculate f.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12061009 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -19*r + 17*r - 8 + 7*r. Let t = 267 - 268. Let y(h) be the first derivative of h**2\/2 - h + 1. Calculate t*j(p) + 6*y(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22134, 22127, 22116, 22101?\nAnswer: 22082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**17)**(-1)*(x**(-15))**9 assuming x is positive.\nAnswer: x**(-153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -730678, -1461357, -2192036, -2922715?\n\"Answer: -730679*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1300188 * -0.33.\nAnswer: 429062.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/(-6) + 3 + 2\/6. Let f(y) = 13*y**3 + 9. Let s(c) = c**3 + 1. What is r*s(u) - 2*f(u)?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {o: 6, p: 2, s: 9}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -513*d - 1 - 4*d**2 + 2*d**3 - 529*d - d**4 + 1041*d as w*d + n*d**2 + l + k*d**3 + u*d**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -108. Let l = z - -174. Calculate the remainder when l is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 22*o**3 - 80*o**2 - 96*o.\nAnswer: -2*o*(o + 3)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -833*u**6\/60 + 2143*u**4\/24 - 2*u**2 + 11. What is the second derivative of s(o) wrt o?\nAnswer: -9996*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, m: 3}. What is prob of picking 2 y and 1 m?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {x: 3, c: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9864\/(-468) - ((-90)\/(-13) + (84 - 91)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -6, 1, -4, -1, -3, -10 in increasing order.\nAnswer: -97, -10, -6, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 220, -1\/7, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 917920773 to the nearest integer?\nAnswer: 30297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 335b (base 14) to base 10\nAnswer: 8901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*i = -15*i - 164*i - 8764 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1205154 (base 6) to base 5.\nAnswer: 4011413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + sqrt(425)*-1)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-31)\/(-124) + (-1097955)\/(-36).\nAnswer: 7, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 3*n + 17. Is j(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (477\/(-4) + 8\/32)*1. Let v = 119 + c. Solve a + 4*a + 25 = v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -151110 - 250?\nAnswer: -151360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918 = -226*y + 4732 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o**(2\/19)*o)\/o)))\/(o\/(o\/((o*o**(-7))\/o)*o)) assuming o is positive.\nAnswer: o**(154\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501 + 501 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 9. What are the prime factors of (-8)\/20 - 524\/a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1300223?\nAnswer: 1300231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/11)\/(1 + 0) - -1324. Let w = -811 + v. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443573 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(24)\/(sqrt(48) + sqrt(12)) - (sqrt(2) + 0 + sqrt(2) + 2) - sqrt(20)\/(1*sqrt(40)\/sqrt(4))).\nAnswer: -8*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -333492 = -333489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 4. Let g be v(4). Put 5, g, -1 in decreasing order.\nAnswer: 5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 19*d + 22. Let l be c(-20). Let f(a) be the first derivative of 5*a + 5\/2*a**l + 3. Find the first derivative of f(q) wrt q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 7087*r**3 - 5*r**5 - 10*r**4 - 4 + 4 - 7092*r**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-1)\/3 - 19*80\/(-24). What is the greatest common divisor of 248 and b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 + -87. Suppose -150 = -11*n + c. Suppose 4*f - f = 15. What is the greatest common divisor of f and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 + -15 - 2 - 270617. What is q rounded to the nearest 1000?\nAnswer: -271000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(363) + (sqrt(363) - (sqrt(363) + 1)*1) - sqrt(363))**2)*3 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = -5*b + 17, -4*o + 2*b - 6 = 0. Suppose o*p - 2*p = 64. Does 27 divide (-210)\/(-8) - 24\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 12, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20647419387 plus 5?\nAnswer: -20647419382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*r**5 + 395*r**4 - 70*r**3 - 65*r**2 + 10*r = 0. What is r?\nAnswer: -1, -1\/2, 0, 2\/13, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4, 10*f + 166 = -r + 5*f. Let p(g) = 29*g - 4. Let n be p(8). Let m = r + n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.2 - 55.194. What is the second smallest value in -0.5, 0.4, k, 4, 2\/63?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1711, -6\/5, -0.2 in decreasing order.\nAnswer: 1711, 0, -0.2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 45*g**2 + 5. Let x(s) = 454 - 224 - 227 + 22*s**2. Let y(z) = -3*k(z) + 5*x(z). Let r(o) = 4*o**2 - 3*o**2 - 3*o**2. Determine r(y(f)).\nAnswer: -1250*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53854 + 78600. Is (16 - 17)*g\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 1182.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 3*d - 12, 4*d - 13 = z + 6*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, -3, -5, 0.05, 0.06, -37\/2, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 + (-2 - (0 + 0)). Let o be (-103)\/(-8) - (-1)\/8. Let b = k + o. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22, -1 in ascending order.\nAnswer: -22, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13492123921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**4\/7 - 468*h**3\/7 - 55824*h**2\/7 - 199872*h\/7 + 1721856\/7 = 0.\nAnswer: -76, -8, 4, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -2 (c) 7\/6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + (1 + sqrt(272) - sqrt(272)))**2 + (sqrt(1377) - ((-1 + sqrt(1377) - sqrt(1377)) + 2 + sqrt(1377))**2)*5.\nAnswer: -6869 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 93. Let l be r\/4 - (0 + 1 - 0). Suppose -f + l = 2*s, 0 = 3*s + 2*f + 1 - 16. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/210)\/((-1)\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2429.76 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2\/21 - 40\/7. Let z = 19 - q. Is z not equal to 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - -5.8. Let w = l - 6.7. Let i be ((-2)\/3)\/(5\/3). Sort -1, w, i in ascending order.\nAnswer: -1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 - p**3\/8 + p**2\/8 + 6*p + 6. Determine q, given that d(q) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 921205.1 tonnes to micrograms.\nAnswer: 921205100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 38491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y. Let c(i) be the second derivative of -i**5\/20 + i**4\/12 - i**3\/6 + 11*i**2\/2 + 7*i + 27. Determine c(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1123*h + 138 = 1146*h. Let c(v) = v + 4. Let a be c(-4). Suppose 102 = h*d - a*d. Solve -4*x = d - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqgppgqpgqppq. Give prob of sequence gpp.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4968, 4986, 4998, 4992, 4956, 4878, 4746, 4548?\nAnswer: 4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 29.77?\nAnswer: 25.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*c**2\/4 + 6855*c + 5221225\/3.\nAnswer: (9*c + 4570)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 72280019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2648217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + 0.13. Let m = -0.06 + s. Let w = -0.2 - 0.8. Which is the closest to w? (a) 0 (b) 2\/13 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {z: 5, q: 4, c: 1, k: 5, h: 1}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 - 2\/(-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/36*0)\/((0 + 1)*2). Solve -5*p + 17 = -w - 13, 4*p - 20 = v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 5*m - 3. Let l(z) = z**2 + 7*z + 9. Let o be l(-6). Calculate g(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -159362*x**3 - 2*x**2 - x + 252885?\nAnswer: -478086*x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -10\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(3\/34))\/(8 - 9). Let u = -97 - d. Find the common denominator of 2 and (6\/(-22))\/(7\/u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -137 + -4606?\nAnswer: -4743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 - (-13 + 118) - 54?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.2 * -2393.\nAnswer: -153630.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q - 125. Let y be r(12). Suppose 6*v = 19 - y. What is the smallest common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by -75\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1049880 and -29\/839904?\nAnswer: 4199520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 291487661?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 472842652*z\/5 - 27947521693799138\/5.\nAnswer: -2*(z - 118210663)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*((j\/((j\/j**4*j)\/j)*j*j)\/j)\/j*j)**39*(j*j**(-10\/7)*j)\/j*j**7 assuming j is positive.\nAnswer: j**(1957\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o + 3*o - 84. Let p be (64\/8)\/(o\/3). Suppose -108000 = s + p*s. What is s rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12723 and 72525341.\nAnswer: 217576023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4029 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 5. Let g be o(-3). Suppose -93 + 2970 = g*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 m when four letters picked without replacement from {m: 4, d: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89 by 247971.\nAnswer: -89\/247971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(1174*r - 1954*r + 1002*r).\nAnswer: 444*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -362, -48, 638, 1840?\nAnswer: 3702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10\/((((d\/d**(16\/5))\/d)\/d*d)\/d)*(d**(-2\/11))**(-12\/13) assuming d is positive.\nAnswer: d**(10273\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 - 4*x**2)*(13 - 42*x - 6 + 59*x).\nAnswer: -51*x**3 - 21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -715954382 and 872.\nAnswer: -715953510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 6*d + 5. Let k be v(5). Let r(t) be the second derivative of -t**3\/6 - 9*t**2\/2 + 2*t - 166. Let w be r(k). Solve -w*i + 5*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.058 + 0.12. Let t = f - -0.01. Round t to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/67))**7\/(o\/(o*o*o**19*o*o*o*o)*o*o**(-27)*o) assuming o is positive.\nAnswer: o**(3269\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90*i - 6*i - 2*i - 7*i)*(1 - 3 + 4)*((-3*i + 3*i + 2*i)*(1 + 1 - 3) + i + 6*i - 3*i + 0*i + 0*i + 2*i) in the form u*i + s + x*i**2 and give x.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10504*g + 0*g**2 + 2*g**2 - 6*g**2 - 4*g**2.\nAnswer: -8*g**2 - 10504*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -1\/6 (b) 3\/5 (c) 0.2 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(-2*sqrt(114) + sqrt(114)) - (1*sqrt(114)*5 - sqrt(114)))\/(sqrt(216)*-2*-5 + sqrt(216) - sqrt(216)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*(-56)\/(-748)*(-22)\/1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -19892735.\nAnswer: 19892735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -69. Suppose 0 = 5*r + j - 72. Let a be 532\/r + (0 - (-2)\/3). Calculate the greatest common divisor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80667.4 less than 23?\nAnswer: -80644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1027550362603 and 2.\nAnswer: 1.8972449637397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1165)\/(-699)*(-6)\/(-40)*-28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 28*j + j**3 - 50*j + 21*j + 2. Let w be c(2). Calculate the highest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*o - 208*o - 2*l = 2, -5*o + 4*l = -4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (235\/188)\/(10\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/2294 - -872865\/4588. Let p = h + -167. Find the common denominator of p and -1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398686 * 4\nAnswer: -1594744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o\/o**(-1\/2))*o*o*o*(o**(-7)\/o)\/o)**(-3) assuming o is positive.\nAnswer: o**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 234 + -86. Let p(t) = -144 - 3*t**2 - a + 441 - 149. Let h(j) = -3*j + 29. What is h(p(x))?\nAnswer: 9*x**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2. Let x(i) = 20*i**2 + 12*i**2 - 7*i**2. What is x(n(j))?\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.12 and -0.8.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2086108, 5.\nAnswer: -2086108, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v - g = 323, 5*g = 4*v + 437. Let q = v - -108. Solve q = -n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.0357\nAnswer: -0.1071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z**4 + 1\/2*z**3 + 0 + 0*z**5 - 2*z + 5*z**2 - 1\/60*z**6. Let m(j) = 3*j**3 - 5. Calculate 6*m(r) + 10*w(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 177*d - 340. Let q be k(2). Calculate the highest common divisor of q and 9723.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -32*x - 2. What is b(-5)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3134811 or -3134816?\nAnswer: -3134811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*f**2 - 155 - 144 + 2*f**3 + 97*f**4 + 421 - 140 wrt f.\nAnswer: 2328*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssasassasss. What is prob of picking 2 a and 2 s?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 - 52\/(-10). What is the highest common divisor of m and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -3046, -4, 0 in decreasing order.\nAnswer: 0, -1\/8, -4, -3046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 3*y)*(9 - 11 - 5) + 0*y + 0*y + 2*y.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8556757 divided by -9\nAnswer: -8556757\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:17 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 22*q**2 + 5*q - 5. Let i(d) = 770*d**2 + 176*d - 176. Determine 5*i(c) - 176*n(c).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 - (-111 - -103)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -192 + 200. Let r(g) = -2*g**2 - 8*g + 3. Let u(x) = -3*x**2 - 9*x + 3. Let h(d) = 4*r(d) - 3*u(d). What are the prime factors of h(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 5 - (-4 - (1 - (4 - -6)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -16, 9, 1\/4, 1\/7, -44?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -1 - (-20)\/1. Let q(h) = -h**3 - 5*h**2 - 10*h - 294. Let v be q(-10). Calculate the greatest common divisor of s and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(18\/2))\/(70*(-50)\/14700)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(143)*4*-5)\/(sqrt(704) + sqrt(704) + -3*sqrt(704) + sqrt(704) - sqrt(176)\/sqrt(4)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3739 - 1849 + a - 1890.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 23*a**2 + 51*a - 6. Let r be b(-7). Suppose 4*k - 1365 = -h, 5*k - 6106 - r = -5*h. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1\/3*m**2 + 2\/3*m + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:21 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -339015 equal to -339012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4349, 2.\nAnswer: -4349, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 6929*s**2 - 6928*s.\nAnswer: -s*(s + 1)*(s + 6928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 2*m - 4. Let g be o(4). Suppose -2*f + z - 5*z = 14, 4*z = -g. Solve -2*x = -3*j - 16, x - 6 = f*j + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, h: 2, v: 1, l: 1}. What is prob of picking 1 t and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -361*k**2*x**3 - 2514*k**2*x**2 + 78*k*x**3 + 2*k*x - k + 72*x**3 + 6 wrt k.\nAnswer: -722*x**3 - 5028*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5 = 2*g, -2*g + h - 25 = -4*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 389 by -237.\nAnswer: -389\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286915 is divided by 17931?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 greater than 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23 - -26)*((-2)\/2 + 2). Let m(f) = d*f**2 - 9*f**2 + 5*f + 7*f**2 + 6. Let s = -14 + 9. Determine m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5167795 - 24039.\nAnswer: 5143756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 59*o - 2476. Give a(40).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42110 - -370?\nAnswer: -41630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15 - 10 - u + 0 + 2. Give s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -4, -0.272?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -39*z. Let q(j) = 839*j**2. Determine q(g(h)).\nAnswer: 1276119*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/(26 + 30381\/(-936)). Which is smaller: 10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/5 + 3066*r\/5 + 783363\/5 = 0. Calculate r.\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90385397?\nAnswer: 7243, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 2 + -410 + 444.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -144521167.3 to the nearest 10000.\nAnswer: -144520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 115*h**2. Let i(j) = -5*j. Give b(i(a)).\nAnswer: 2875*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -35*z + 5. Let l(v) = 30157*v - 4. Determine l(x(a)).\nAnswer: -1055495*a + 150781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -27. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-183*4\/(-15))\/(4\/(-8)). Let p = -98 - y. What is the third biggest value in -3\/7, -3\/5, p, -8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.5 - 5.9. What is the closest to u in -1\/4, -3, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3860 = 1236*b - 1256*b. Calculate the remainder when 631 is divided by b.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 304288.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 - 52*d**2\/7 + 650*d\/7 + 100.\nAnswer: -2*(d - 10)*(d + 1)*(d + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 + 45*v**3 - 95*v**2 - 45*v + 100 = 0. Calculate v.\nAnswer: -1, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -568343, -1136654, -1704935, -2273186, -2841407?\n\"Answer: 15*b**2 - 568356*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 465104, 465105, 465106?\nAnswer: 465107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1874519569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -143894857 smaller than -143894856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25921, -51914, -77907, -103900, -129893?\n\"Answer: -25993*f + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 1062*p**2 + 49120*p + 333384.\nAnswer: 2*(p - 479)*(p - 58)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5682, -11791, -18326, -25287, -32674?\nAnswer: -40487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4\/6 - 19459*a**3\/3 - 116747*a**2\/6 - 38915*a\/3 = 0?\nAnswer: -38915, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(70) - (sqrt(70) - sqrt(70)*2 - sqrt(70))) + sqrt(70)) + (sqrt(70)*-1 + sqrt(70))*-2)\/((1*sqrt(40))\/sqrt(4) + sqrt(70)\/(sqrt(7) + sqrt(28))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 665, 663, 661, 659, 657?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/72*(-4)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6338*l = -6335*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*u + 14025 - 26691 + 14934 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 916, 3645, 8192, 14557, 22740, 32741, 44560?\n\"Answer: 909*b**2 + 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 50*o**2 + 44*o. Let k(w) = -w. Determine z(k(n)).\nAnswer: 50*n**2 - 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*k - 3*m, 120*k - 124*k = 6*m + 38 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 999 + 955 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4, -2*z + 5*l = -4*z + 70. Solve f = -4*f + z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -6. Let z = -1\/16 + -3\/16. What is the closest to a in -3\/2, z, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -28*p**3 - 2*p**2 + 2*p - 2. Let s(w) = 1875*w**3 + 135*w**2 - 135*w + 135. Determine -135*d(a) - 2*s(a).\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 12. Suppose h = -h + 4*y - 20, 0 = -2*h + y - 5. List the prime factors of g(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 806 and 8432.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -9*j + 4*j. Let o = j - -10. Find s such that -5*s**3 - s**o - s**5 + 7*s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -226, -3, -3305, -8 in increasing order.\nAnswer: -3305, -226, -8, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 1, n: 13}. What is prob of sequence wnnn?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139\/6 - 23. Let m = x - 11\/30. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 13*h**2 - 13*h + 20. Let x be u(-14). Solve -x*g + 2*g = 20, -3*k + 2*g + 22 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104144021 (base 6) to base 4.\nAnswer: -13023000031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2113, -5329, -8541, -11743, -14929, -18093?\n\"Answer: r**3 - 4*r**2 - 3211*r + 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 510300 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/10 and 119\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 10. Let v be (0 + j\/6)*3. Solve v*o + 5*x = -3 + 4, 0 = 3*o - x + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91785956 to the power of 1\/2, to the nearest integer?\nAnswer: 9580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5018 - -7575. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -91. Let h be 6 + (-1)\/(1\/3). What is p in -110*p - 111*p + 224*p - h*p**o = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50667, 101541, 152413, 203283?\n\"Answer: -u**2 + 50877*u - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3*c - 15. Let l(s) = 3*s**3 - 5*s**2 - 5*s - 5. Let q(f) be the first derivative of f**4\/2 - 4*f**3\/3 - 2*f**2 - 4*f - 4. Give c*q(y) - 4*l(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 10:13 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2299) - sqrt(2299)) + 2)**2*6 + -3 - ((sqrt(2299) - (-2 + sqrt(2299))) + 1 - -2*sqrt(2299)*-3).\nAnswer: 90 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21789 = 1871*g - 102242 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -18 - (-2 - -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 6) + 4 - 11) + 26 - -30.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 212920110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -30. Suppose -c - 3*z + 82 = 23, -c + 35 = -l*z. Suppose 5*x - 5*m = 390, x + 3*m - 145 + c = 0. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -49. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207207 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -10d?\nAnswer: 10f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/12 - (-2)\/12. Let x be (5 - 4)*(l + 2). Let o(c) = -c**3 + 3*c**2 - 2*c + 2. Let y be o(x). Solve 2*g = 4*p - y*p + 16, 2*g = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 120, 293, 470, 651, 836, 1025?\n\"Answer: 2*k**2 + 167*k - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -0.027, -0.1, 0.4 in ascending order.\nAnswer: -0.1, -0.027, 0, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:09 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 16*k**2 - 50*k - 20. What is g(-19)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 32\/5 of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Let c = b - 7. Let n = c - -18. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1010*-31.\nAnswer: -31310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghghghhggghg. What is prob of picking 2 h?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -36.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 323420173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8215\/124*2\/5*2. Suppose 41*v - 24 = y*v. Sort -5, v, -1 in descending order.\nAnswer: -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.28057256 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/330)\/(16\/160).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30*2128014.3\nAnswer: -63840429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((((i*i**(4\/9))\/i)\/i)\/i))**(-2\/7)*i**8\/i**4 assuming i is positive.\nAnswer: i**(188\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t**3 + 2*t**2 + 2*t - 94. Give s(4).\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 36. Let d be ((-9)\/9)\/((-1)\/15). Suppose -6 = -2*b, 3*l + 0*l = 2*b + d. Calculate the remainder when o is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from frfrfr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 23 = -5*j + 6*j, 5*j = -25. What are the prime factors of c - (0 - (-3164)\/(-7))?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7. Let g(f) = -f**2 + 4 - n + 1 - 1 - 8*f. Let o be g(-7). What is the highest common divisor of o and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 438 - 257. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21646 is divided by 21151.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12296770 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 - 20 - 315)*(4*u - 2 + 2) - u - 3*u + 103 - 102.\nAnswer: -1564*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let p = -428069\/224 - -1911. Let c = 77\/32 - p. Is h > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = -4*l - 12, -3*g = 5*l + 16. Calculate the smallest common multiple of 22 and (l - 0)*(3 + -12).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (420\/(-147))\/(20\/112).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 4*f + 1. Let l be q(-8). Let d be (-9)\/l + (-14)\/(-154). Which is the nearest to -2\/5? (a) -1 (b) d (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1175 (b) 873 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16a025 + 7?\nAnswer: 16a031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - q**2 + 341*q - 1696. Let g be d(5). Suppose 12*s + g + 2\/13*s**2 = 0. Calculate s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2. Let p(k) be the first derivative of k**4\/4 + 8*k + 6. Let y(x) be the first derivative of p(x). Calculate o(y(t)).\nAnswer: -27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 29*x**4\/12 - 5*x**3\/3 + 23*x**2\/2 - 14*x + 2. What is the tens digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 3*b**2 - b - 5. Suppose -4*h = -7*h + 12. Calculate o(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.757938 milligrams in tonnes?\nAnswer: 0.000000003757938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594855.\nAnswer: 3, 5, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 53*a + 4*a**2 + 28 - 13 - 54*a. Does 7 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 2*j**2 + 0*j**2)*(2 + 3 - 3)*(2*j**2 - 5*j**2 + j**2).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 327325 = 3*c + 323056, -216795 = c - 3*g. Let r be 666791 + 0 - (2 + -3). Let j = r + c. Round j to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**5*n**2 + 2903*k**3*n**2 + 2*k**2*n - k**2 + 4*n**2 - 55*n wrt k.\nAnswer: -180*k**2*n**2 + 17418*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*1)\/sqrt(2))\/sqrt(3).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**3 + 0*u**3 + 14*u**4 + 3*u**3 - u + 0*u as p*u**3 + i + c*u**2 + t*u**4 + n*u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10397?\nAnswer: 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = 51*q - 162 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153585504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 556*o**3 - 4684*o**2 - 3140*o + 29400.\nAnswer: 4*(o - 147)*(o - 2)*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h + 392. Let k be o(56). Solve 2*x = -10, -p - 2*x - x - 17 = k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17))*6 + 1 - (sqrt(68)\/sqrt(4)*-2 + sqrt(17) - sqrt(17))**2*3.\nAnswer: -227 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 12 - 6 = -4*n, 18 = 5*n + 4*d for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 29*v + 6. Let w(m) = -30*m - 5. Suppose -1 = -7*s + 20. Let b(a) = s*x(a) + 4*w(a). Is b(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -41*z**2 + z + 1. Let o(k) = -k**2. Let v(l) = c(l) - 3*o(l). Let m be v(-1). Let t = -16 - m. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5*-0.6391\nAnswer: 1.59775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 896.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*x**3 + 2*b**3*x**2*y - 219*b**3*y - 86*b**2*x**3*y + 3*b**2*x**3 - b*x*y wrt b.\nAnswer: -12*x**3 + 12*x**2*y - 1314*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*k**4 + 12*k**3 - 2*k**2 + 6078.\nAnswer: -220*k**3 + 36*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -3033220?\nAnswer: -3033220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.68477983 take away 41863?\nAnswer: -41874.68477983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324.6 take away -0.3?\nAnswer: 1324.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -643, -650, -671, -712, -779, -878, -1015?\n\"Answer: -j**3 - j**2 + 3*j - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 932 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-476)\/70*-10*10?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -3.03. Let v = 13.2 + -11. Let g = v + -0.2. What is the nearest to 0 in g, q, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 2*w**2 + 2*w - 2. Let i be f(-2). Let q = 13 - i. Solve -2*l + 8 = 0, -4*y + q*l + 0*l = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5064735 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18635410169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75 minus 1466?\nAnswer: -1466.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76743.03ng to kilograms.\nAnswer: 0.00000007674303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -29. Let o = -0.5 + 0.2. Let y be 3 + 44\/24*-2. Which is the closest to y? (a) o (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.08226219 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3380\/(-600) - (-7)\/(-5)) + 28\/4?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c - 1. Let a(r) = r**3 + 4*r**2 + 3*r + 1. Let h be a(-3). Determine z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 464. Let n(j) = -j - 232. Let o(a) = 5*n(a) + 2*x(a). Determine o(-45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214147119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -101.51. Round n to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 28*h**3 - 29*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28556 and 25266?\nAnswer: 360747948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-10)\/(-10)) - (-16 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r - 8. Let p(o) = -9*o - 2. Let t(u) = 8*u + 3. Let v(n) = -4*p(n) - 5*t(n). Let s = -22 - -16. Calculate s*v(m) + 5*a(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -22*33\/3 - 1. Let i = -221 - y. What is the remainder when ((-86)\/8)\/((-1)\/4) is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*s - 22 = 0, 2*s + 2 = 2*x + 12. List the prime factors of (1 - 0)*18 - x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -59, -104, -165, -248?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1056\/(-352)*(4 - 0) - -14 - -32\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + h - 106 = 0, -2*h + 0*h = -2. Let d = -17 - s. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v + 76. Let a(l) = 2*l - 25. Let j(m) = 7*a(m) + 2*o(m). List the prime factors of j(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/55 and 27\/107408?\nAnswer: 5907440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212426 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 18*a + 4. Let j be t(17). Is -12 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -19 + 3*n - 34 - 15*n + 25*n. Is 28 a factor of q(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -79 = -86573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyggrrqgy. What is prob of sequence ygrr?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w - 2. Is n(-6) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 30107495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -3, 1\/27, 384, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/35)*o)**40\/((o\/((o\/o**(-2\/31))\/o))\/o**(-31)))**50 assuming o is positive.\nAnswer: o**(533900\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1557\/(-692))\/((-3)\/20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 6*t + 2. Let l be v(-6). Let h(u) = -u**2 + 2. Suppose 0 = -4*q + q. Let g be h(q). Solve l*k + g = 5*d - 1, 4*d - 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 2*(-252)\/(-8). Let i = x + -49. Calculate the highest common divisor of 176 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 724 + -650. What is the derivative of -114 + g - 6*r - 3*r + 0*r - 163 wrt r?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*d*k*w + 3*d*w - 281*d + 1077715*k*w + 15*w - 416 wrt k.\nAnswer: -51*d*w + 1077715*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/((-18)\/105) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(0*k**4 - k**4 - k**4) + 5*k**4 + 2 - 2 + k**4 + k**3 - k**3 + (-1 - 1 + 1)*(-3*k**4 + k**4 + 0*k**4).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2149 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -2, -2\/7, 2 in increasing order.\nAnswer: -100, -2, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:36 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 34*y**3 - 3*y**2 + 104*y - 68.\nAnswer: (y - 34)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 171226\nAnswer: 17122.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29624 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1128\/(-282)*9\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4749 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 7*w = -80, 18491*k - 18485*k + 2*w = 36 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2. Let w(c) = -9*c - 393. Let d be w(-44). Let z(f) be the second derivative of -4*f + 0*f**2 + 0 + 16\/3*f**d. What is o(z(b))?\nAnswer: 1024*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 + 6*i - 5. Let y be s(-7). Solve -y*h + x = -0*x - 7, -x - 15 = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-315)\/84)\/(6\/(-8)). Suppose -c*h + t + 147 = 0, 2*h - 2*t = 5*h - 83. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -648*p + 641*p. What is the thousands digit of -2*(-4552)\/p*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**3 + a**2 + 3. Let w be k(-2). Let g be (-2)\/(-3) + 283\/3. Let q = g - w. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1267*k**3 + 16*k**2 + 16*k - 2520861 wrt k?\nAnswer: -3801*k**2 + 32*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 11*c**2 - 12*c - 4. Give l(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z - 13. What is c(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*(34692\/767)\/14)\/(6\/2)\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 bigger than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1058*(-9)\/(-36)*4\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19246 and 7?\nAnswer: 134722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 215 = 3*y + 1048, -2*y + 848 = 2*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10487*q**2 + 629220*q - 3. Give d(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*l + 16*l + 96 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1043 + -231005?\nAnswer: -225522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 != -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3152442 (base 6) to base 7.\nAnswer: 1213250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.64 + -11.64. What is the third smallest value in 9\/2, -1\/46, w?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5662, -10701, -15744, -20791, -25842?\n\"Answer: -2*d**2 - 5033*d - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -109*z + 33. List the prime factors of u(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*j - 233 + 200, 5*t + 31 = j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -37*y**2 + 298*y - 10. Determine f(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 1. Let v(u) be the first derivative of 0*u**2 + u - 1\/3*u**3 - 1. Calculate 2*k(i) - v(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246498221?\nAnswer: 47, 5244643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**7\/840 + d**6\/360 + d**5\/40 - d**4\/6 - d**3\/3 + 3*d. Let f(t) be the second derivative of n(t). Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -60.9596. What is r rounded to 3 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 4*v + 3. Let p be c(5). Let o(u) = u - 1. Let m(i) = -3*i - 15*i + 11 + 6*i. Calculate p*m(a) - 22*o(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-160)\/(-96)*-7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(10)\/sqrt(5) + (sqrt(48)\/sqrt(3))\/sqrt(8))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-47)*(o**(-1)\/o)**(-29))\/(o*o**1*o*o*o**3*o**(1\/7)\/(o**(1\/3)\/o)) assuming o is positive.\nAnswer: o**(1054\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.12. Let m = 1.88 + n. What is the closest to -1 in m, 1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -33. Let l be 2*(1 - 3) - (-13 + b). Factor 9*q**4 - 23*q**4 + 4*q**l + 20*q**3 + 12*q**4 - 20*q - 2*q**2.\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(96) - sqrt(5) - (sqrt(500)*1 - sqrt(5) - sqrt(5)) - ((sqrt(20) + sqrt(20)*-1)\/sqrt(4) + 4))**2.\nAnswer: 70*sqrt(5) + 6381\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(36\/6)\/(-54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*x = -5 + 11, -15 = -5*r + 2*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 10. Let w be j(-9). Let a = w - 5. Suppose 0 = a*p + 1 - 10. Solve 0 = -3*n + 12 - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1947573\nAnswer: -1947575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/4*(-679)\/4947*17.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -k + 2001, -4*i - i - k + 2502 = 0. Let w be (-938)\/(-335)*(-30)\/(-4). Suppose -w*n = -i + 18. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 54444*q**2 - 2*q - 2. Let g(f) = f + 1. Suppose 0 + 3 = -3*u. Let r(a) = u*d(a) - 3*g(a). Let l be r(3). Round l to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2*g**2 + 11*g - 22. Let x be t(-5). Let z(q) = -q**2 - 9*q - 6. What is z(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6 + 26 = 0. Which is the third smallest value? (a) -1 (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 13. Let x = o - -10. Let n be x + (-3 - (-12)\/1). Solve -4*k = 9 + n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1688676 - -83522318.\nAnswer: 83522318.1688676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256651*x**3 + 256634*x**3 - 513282*x**3 - x.\nAnswer: 3*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 1 in decreasing order.\nAnswer: 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030921 divided by -1871?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*k**2*t**2 - k**2*t + 411*k**2 - 927*k*t**3 + 2*k - 8*t wrt t?\nAnswer: 56*k**2 - 5562*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 2*f + 1. Suppose 2*k - 3*m = 6, -2*k - m + 19 = 5. Let r(z) = -5*z - z + k*z**2 + 0*z**3 + 6 + z**3. Let o be r(-7). Give a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in -35, 117, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50727826 by 25363913.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*o - 7*o + 2*o)*(6*o + 3*o - 5*o) + 2 - 2 + 2*o**2 to the form d + i*o + q*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 5, i: 8}. Give prob of picking 2 g and 1 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -371*o**3 + 851*o**3 - 428*o**3 + (4*o**2 - 4*o**2 - 2*o**2)*(-3*o + o + o).\nAnswer: 54*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2880\/(-52))\/(-4) + 4\/26. Let n be (-35)\/j*4\/(-5). Solve -z + 0 = n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13007 + 52031\/4. Let f be (-3)\/21*9 - -1. Let t = 1496\/5 + -298. Sort f, t, 0.1, q in descending order.\nAnswer: t, q, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/14)\/(50\/175). Solve -5*o + n = 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + -10. Let f = 51 + b. Sort f, 5, 4, 3 in descending order.\nAnswer: 5, 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30344, 121479, 273370, 486017, 759420, 1093579?\nAnswer: 1488494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.8 + -6.9. Let v = -0.836 + j. Let a = v - -1.936. What is the smallest value in -2\/9, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.063 - 4.063. What is the biggest value in q, 0.5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:53 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. Let u = 10 + -5. What is the biggest value in u, k, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let y be t(-1). Suppose 0 = -3*o - y*r + 34, -r - 3*r = -4*o + 12. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448810 divided by -89762.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = 17 - 53 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12012101100 + -20?\nAnswer: 12012101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88432691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7741552?\nAnswer: 2, 7, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 118*g - 1406. Calculate w(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4, -5*y + 2*t = -2*y - 26. Solve o + 0*o + y = 5*k, -2*o - 3 = 3*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 3\/2*b**4 - 57\/2*b**3 - 51*b**2 + 0 = 0 for b.\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 376 and 2?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (230398\/30)\/7 - 2\/15. Let c = -1097 + o. Let d = 0.1 + 0.2. What is the third biggest value in 0.4, -0.4, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -142282074.8211 and -30.3.\nAnswer: -142282105.1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*q**3 + 5*f**3*q**2 + f**3 - 58*f*q + q wrt q.\nAnswer: -18*f**3*q + 10*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*l + 5 = 0. Suppose -g = 0, -4*v - l*g + 848 = -2*g. Find the first derivative of -212*j + 37*j**2 + v*j - 3 wrt j.\nAnswer: 74*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-117))\/((-14)\/(-18) - 1)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*j - 18, 22 = j - 5*v + 1. Suppose i - 28 = -j*i. What is the second derivative of -r**2 - i*r**2 + 15*r - 6*r**2 wrt r?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38624879 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/99 and -64\/55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(7)*-2 - 1*sqrt(112)) + -5*(sqrt(567)*-1 + -1)**2)*-4.\nAnswer: 384*sqrt(7) + 11368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((-710)\/33725)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 12:49 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 9*a**4\/5 - 52*a**3\/5 - 58*a**2\/5 - 4*a - 20. Solve g(i) = 0.\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37.11269mg?\nAnswer: 0.00003711269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 766189515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99775826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 7*f - 9. Let t be n(5). Is -1*(3 - 460\/(5 - t)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3864*u**2 - 19*u - 52. Let i be t(-4). What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 2*w + 4. Let t be m(2). Let f be (4\/(-3))\/(t\/(-3)). What is the highest common factor of f and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*j - f - 8, j + f + 3 = 0. Let v be j - -13 - 2*3. Solve g - 3*w - v = -g, 4 = -w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175617.\nAnswer: 3, 13, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 131227, 262454, 393681, 524908, 656135?\n\"Answer: 131227*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (0 - -4) - (55 - 53)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 y, and 1 e when four letters picked without replacement from {u: 6, y: 2, e: 9}.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8*q + 15. Let i be -1*((-3 - q)\/(-4))\/1. Let y be (2*1)\/(-2) - -4. Solve i = y*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1485 + 13400\/9. Let i be 5736\/14 + 1 + -3. Let s = 407 - i. Calculate the common denominator of s and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208029 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 5*y - 1. Let i be z(-3). Let x(o) = -2*o + i - 5. Let a(n) be the third derivative of -n**4\/12 + n**2. Give a(x(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 3*b**3 - b**3 - 4*b**3 - 7*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y - 3*y**2 + 34*y - 13*y + 2*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -5*t**6\/6 - 30*t**5 - 195*t**4 + 5270*t**3\/3 - 4335*t**2\/2 + 5324. Solve a(u) = 0 for u.\nAnswer: -17, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 842, -2, 1, -3, 3 in decreasing order.\nAnswer: 842, 3, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + k**3 - k**3 + 2 + 0*k**3 + k**3 - 2*k**3 + (-4*k**3 - 4 + 4)*(-3 + 1 + 0).\nAnswer: 6*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395363, -395379, -395405, -395441, -395487?\nAnswer: -395543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -218 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 6. Suppose -3*y = 10 + 8. Suppose -4*c + 2*k + 124 = -14, 5*k = -c + 40. What is the remainder when c is divided by r(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/21)\/(1\/(-6)). Which is greater: -184 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -975 = -13*i - 0*i. What is the highest common factor of i and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*a + 116 + 113 + 241 = 0. Solve a*c - 7 = 28 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 w, and 1 p when three letters picked without replacement from pwpowpepjooojp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12515 is divided by 659?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o. Let d(i) = i**3 + 19*i**2 + 33*i + 24. Let x be d(-16). Suppose 14*q - x = 8*q. What is the smallest common multiple of q and h(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1)\/(-12 + 1). Let c = -4 - -4.1. Let d = c + 0.4. What is the third biggest value in d, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19918 - -38198. Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6159 and 77604?\nAnswer: -477963036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01113 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79, 141, 195, 235, 255, 249?\n\"Answer: -q**3 + 2*q**2 + 63*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Let d be p(4). Suppose -4*i - d*t + 68 = -t, -i + t + 15 = 0. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 3*h**2 + 3*h**2)*(2*h**2 + 0 + 0) + 24*h**2 - 24*h**2 + 778*h**5.\nAnswer: 780*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2878, 5753, 8628, 11503, 14378, 17253?\nAnswer: 20128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 0*s**3 - 2*s**5 + (-2*s**4 + 2*s**4 - 2*s**4)*(-3*s + 2*s + 2*s) + (483901 - 105*s - 483901)*(-s**3 + s**3 + s**3)*(0*s + 2*s - s).\nAnswer: -109*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 + 14*m + 13. Suppose 0*z + 5*z = 35. Suppose 9*r + 20 = z*r. Is c(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122132 - 21231?\nAnswer: -1210023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*t + 7200, -3*v + 0*v - 4*t + 10793 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/520 and (1335\/200)\/(54\/(-12))?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 j when three letters picked without replacement from {z: 2, v: 2, t: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27299482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*p + 2*p = 149037. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12499617, -24999219, -37498821?\n\"Answer: -12499602*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4\/58*-1 + ((-20243685)\/130645)\/(-77).\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*u + 16 + 13 = 0, 4*j - 51 = u. Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -136*v**2 + 15*v + 6. Let l be m(7). Let x = l + 38791\/6. Let w = -88 - x. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*o - o - 137, -5*i = 5*o + 710. Is 11 a factor of o\/(-4) + (-3)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = u. Let t be (-3)\/12*u*2. Calculate the common denominator of -24 and t\/9*(-1)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, -33, -110, -261, -510, -881, -1398, -2085?\n\"Answer: -4*d**3 - d**2 + 4*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*c - 38*c - 53*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**7\/1260 - r**6\/120 + r**5\/360 + r**4\/6 + 4*r**3\/9 - 41*r**2. Factor a(h).\nAnswer: (h - 4)**2*(h + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 9:39 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.3*6.4162.\nAnswer: 117.41646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.00081 from 4274013837.\nAnswer: 4274013835.99919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let a = -2 - 3. Let v be 8\/20*1*225\/(-36). Put a, v, n in ascending order.\nAnswer: a, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -24*u - 12. Let w be -1 - u\/(-4)*128\/(-12). What is m in 41*m**4 - 2 - 8*m**2 + w*m - 15*m**2 + 36*m**4 - 24*m**3 - 61*m**4 = 0?\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8*4)\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/308 and -73\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Suppose 0 = y*u - 9 + 1. Calculate the least common multiple of 14 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7552\/(-1880) + 4)*(-85)\/(-34).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -614, -610, -608, -608, -610, -614?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/11 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33909 - -33911. Let b = -22 + 7. Suppose 0*j = -2*j - 6. Put b, j, i in increasing order.\nAnswer: b, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p - f = 31, 4*p + 2*f = -26. Sort 5, -1, p in descending order.\nAnswer: 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18684 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100205526.\nAnswer: 2, 3, 23, 419, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 39*u**2 - 18*u - 18. Let d(w) = 11*w**2 - 5*w - 5. Let b(p) = 18*d(p) - 5*g(p). Let y(z) = -5*z**2. Determine y(b(t)).\nAnswer: -45*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 1, u: 2, c: 5, m: 3, p: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45548 - -343?\nAnswer: 45890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 2554*r\/3 + 2560.\nAnswer: -2*(r - 1280)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4911? (a) 15 (b) 4 (c) -3\/4 (d) 87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 18*p**2 + 5. Let o(a) = -35*a**2 + a - 9. Let s(i) = 3*o(i) + 7*x(i). What are the prime factors of s(4)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2224 and 739073008.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*(l\/((l*l\/(l*l\/(l\/(l*l**(2\/3))))*l)\/l*l)*l*l)\/l)**22 assuming l is positive.\nAnswer: l**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*n + 24. Let p be (-23)\/46 + -1 + 6\/n. Suppose -3*r - 4*s + 1 = 0, -2*r - 3*s + 2*s + 4 = 0. Solve -r*t = f + 19, p*f = 4*f - 3*t + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 383*f**3 - 386*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 54777*y - 383387. Calculate f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkk. What is prob of picking 1 d and 2 k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -205*c. Let w(v) = -v**2. Determine w(n(d)).\nAnswer: -42025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-2))\/(531\/3540)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = k - 5, 0 = -w - 5*k + k + 17. Which is the second smallest value? (a) -94 (b) 4\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/5703 and 143\/24?\nAnswer: 45624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6741 and 29184.\nAnswer: 65576448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:16 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (349*x**2 - 349*x**2 + 161*x**3)*(5*x - 3*x + 0*x) + 0*x**4 + 2*x**4 + 0*x**4 in the form z*x**2 + d + g*x**3 + c*x + m*x**4 and give m.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(2736) - (sqrt(2736) + -2 + -3) - sqrt(2736))*-1 + (1 + sqrt(2736) + -5 - (sqrt(2736) + sqrt(2736)*2*3))) + -4)**2 + 5.\nAnswer: 5280*sqrt(19) + 274089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 - 40*i**2 - 42*i - 22. Let g be k(11). Let 14\/5*q**5 + g*q + 4\/5*q**4 + 0*q**2 + 0*q**3 + 0 = 0. Calculate q.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 w, and 1 s when four letters picked without replacement from sckksffwsf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*f**3*j - 18290*f**2*j**2 + 2*f*j**2 - 2*f*j - 41700*f - j**2 - 2 wrt f.\nAnswer: -498*f*j - 36580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvdddvvvvvddvv. Give prob of sequence vvvd.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*f - 3*z, 4 = -3*z + 1. Let v(d) = d**3 - 12*d**2 + d - 9. Let x be v(f). Let c = -50 - x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9172522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 2\/3, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - (4*(sqrt(480) - 1*sqrt(480)) + sqrt(480)))\/sqrt(12))\/(sqrt(32) - sqrt(2592) - sqrt(242)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3 + 804*i**2 - 63*i + 1008299?\nAnswer: -3*i**2 + 1608*i - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895876649 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11189559 <= 11189559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10218 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1173*v**3 + 1156*v**3 - 2348*v**3.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) + (-9)\/2. Let o = -10 + 7. Do o and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:33 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.48 - -55. Let l = w - -0.46. Put -1, 0.3, l, 4 in ascending order.\nAnswer: -1, l, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 4*a - 2. Let p be -32 + 1 + (3 - 1). Let y = p + 32. Is v(y) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/3 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 19*p + 8. What is r(-8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(250) + sqrt(250) + sqrt(250)*2)*-4*-2)\/((sqrt(22)\/sqrt(396) - (sqrt(2) + sqrt(2) + -4*sqrt(2)*3 + sqrt(2)))*6).\nAnswer: -64*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39 - 0.09. Is -2\/9 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 4 = -5*c + 6*a, a + 6 = 2*c. Let x = -10 - -6. Sort 5, c, x in ascending order.\nAnswer: x, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2238308572.\nAnswer: 2, 23, 41, 593401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 13*f - 15. Let r be w(11). Suppose -1323 = 2*q + r*q. Let n = -1319\/9 - q. Is n at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 431 or 4299\/10?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 - 1*(1 + -4). Let v(t) = -t**3 - 9*t**2 - 8*t + 4. Let h be v(o). Suppose 24 = 8*j - h*j. Calculate the lowest common multiple of 3 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -49*n**6\/120 - n**5\/60 + n**3\/6 - n**2. Let p be j(-1). Let d = p - 34. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:49 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**3\/3 - 58*u + 33. Let j(l) = -l**2. Determine k(j(f)).\nAnswer: -f**4 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -32. Let g(x) = x**3 + 127*x**2 + 86*x + 10873. Let n be g(-127). Are w and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 253999 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8956 - 8956.163. Suppose 3*m = 8*m + 10. Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 + 0)\/((-1)\/(-3)). Suppose 2*w + 11 = -3*z + i, -5*w - 4*z + 47 = 0. Let v = w - 4. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 5*c - 12, -3*c + 10 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = 4*m. Let l(y) be the third derivative of -y**4\/12 - y**3\/6 - 3*y**2. Let o be l(-1). Calculate the highest common divisor of m and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 38*s**2 - 32*s + 1246. Give d(38).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d835 (base 16) to base 9.\nAnswer: 533460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266699, 266737, 266789, 266849, 266911?\nAnswer: 266969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5962 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 28*u + 28. Give v(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, z: 5, n: 1, r: 4, f: 1}. Give prob of sequence nz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t. Let q(m) = -2498474*m - 3. Calculate w(q(j)).\nAnswer: -7495422*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 9*k - 10. Let w be h(-8). Let d = 426 - 8092\/19. Let i = -0.6 - -0.1. What is the third smallest value in i, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16078, 16138, 16256, 16438, 16690, 17018, 17428, 17926?\nAnswer: 18518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/8 (b) 0.5 (c) -0.09 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51342.48 rounded to the nearest one hundred?\nAnswer: 51300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3 + 3)*(-w - 2*w + w)*(-197 + 1149 + 267 + 1448).\nAnswer: 10668*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -30*k**3 + 2*k**2 + 2*k - 2. Let t(j) = 154*j**3 - 11*j**2 - 11*j + 11. Calculate -2*t(c) - 11*z(c).\nAnswer: 22*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 4*y - 12 = 8*y, 4*o = -5*y + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o**3 + 2*o**2 + 3*o**3 + 3*o)*(-16*o**2 + 6*o**2 + 12*o**2).\nAnswer: 4*o**5 + 4*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 9 in decreasing order.\nAnswer: 9, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -8. Let i = d - -67. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-408)\/(-765))\/(5*(-14)\/35)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1345\/13, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/((-47)\/(-2115)*-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/62 + (-147806)\/8711.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -4. Let x(k) = -3 - 3 + 19*k - u*k**2 + k**3 - 11*k + 2. What is the units digit of x(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006099304 to four decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5372 and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90.47 - -2533.\nAnswer: 2442.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 12. Suppose 0 - d = -2*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(6\/10)*(2 + 1). Suppose 7*t - j*t = 2, -3*t = -2*x + 4397. What is x rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 + 9*u - 9*u + 7*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 12)*(-10)\/20. Let w = j - -12. Suppose 2*b + 13 = -s + w*s, -14 = b - 4*s. Calculate the least common multiple of b and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56841 times 2.07?\nAnswer: 117660.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 507073*r\/2 + 507074.\nAnswer: -(r - 1014148)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6692 less than -6694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - h + 1. Suppose -42 = 4*x - 11*x. Let c(b) be the first derivative of -3*b**2 + 8\/3*b**3 + 8*b - 2. What is x*j(w) - c(w)?\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 84889229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 16. Let y(k) = 2*k - 22. Let r be y(b). Calculate the common denominator of -4\/11 and (-102)\/r + (-4 - 93\/(-24)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 3*b - 2*b)*(2*b - 2 + 2)*(3 + 1 - 3) in the form m + t*b + v*b**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (-63 - -59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2792 and 79\/22.\nAnswer: 30712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0.06 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 57 + 24*c - 227 + 51 + 52 - 3*c**2 + 63. Calculate b(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186 - -154) + -118 + 166?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -3.5\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 6*i**2 - 185*i + 25. What is f(13)?\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 - -9 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v - 2*v**4 + 77*v**2 - v + 9*v - 76*v**2 + 5*v - 1 + 2*v**3 as m*v**3 + g + f*v**4 + h*v + d*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318934.\nAnswer: 2, 659467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 150*d - 40402. What is b(269)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2 - 2*y - 3. Let s = -12 + 9. Is j(s) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 15 = 0, 79*n + 4*t + 4 = 83*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*p - 111*p + 66196 = -747*p for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4256569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 8453 = 5*l + z, -5*l - 3*z = -8441. Let a(y) = -y**2 - l + 1690. Let j(s) = -5*s**2 - s - 4. Give -3*a(f) + j(f).\nAnswer: -2*f**2 - f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29991953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + r + 1 = -r, 4*i - 22 = -r. Solve 0 = -2*v + i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3 - 11*t**2 - 47*t + 7227 wrt t.\nAnswer: 3*t**2 - 22*t - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -0.5, 5.221?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 20*q = -72. Sort -1, -7, 5, q in decreasing order.\nAnswer: 5, -1, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.05 + 42. Which is the nearest to -4? (a) 3 (b) 5\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 4 - 1 - 0) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 - 6*m**2 - 320*m - 635. Determine h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105108, -210219, -315330, -420441, -525552?\nAnswer: -630663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bb114 + 0?\nAnswer: bb114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from rakkkkdi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3662.\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-1673 + -1 - 5). Suppose 15*h - 21*h = -c. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2, -4, 3443 in ascending order.\nAnswer: -4, -2, -1, 1, 3443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let f(j) = 4*j - 29. Let v be f(8). Suppose -3*i - v*l = 15, -4*i + 2*l + 10 = -d*i. Solve i = -5*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1265, 2561, 3857?\nAnswer: 5153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q - 7 - 7*q**2 + 2*q + 2*q. Let p(z) = -4*z - 15*z**2 - 6 - 6 - 3. Let a(d) = 13*b(d) - 6*p(d). Factor a(k).\nAnswer: -(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 316.7 - 317. Suppose -2*i + 17 = u + 5, -4*u + 3 = -i. What is the second biggest value in i, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 8:13 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613255 - 39515 = -18*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -12b?\nAnswer: 12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-15)*(1 - -4). Let v = 0 - -6. Let d = 5.7 - v. Sort d, m, -5 in descending order.\nAnswer: d, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97907.89 minutes to microseconds.\nAnswer: 5874473400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from jfafavjc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 18. Suppose -3*h - 3 = -4*h. Let t = k - h. Solve -t*z + 9 = -6*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 2\/5, 7, 2, -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 0.6. Sort d, 4, 2\/9, 5.\nAnswer: d, 2\/9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z + 2000. What is z rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.087 plus 11699695?\nAnswer: 11699742.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/15642 and -161\/990.\nAnswer: 78210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-2 + sqrt(68))*6)**2 + (sqrt(68)*-2)**2*-1)*-4.\nAnswer: -6912*sqrt(17) + 55680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 834299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p + 3*p. Suppose p*n = 5*v - 24, 5*n = -3*v + 3*n + 3. Factor -w - 3*w - w**2 + v*w**2.\nAnswer: 2*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 + 462*h + 657. Calculate q(-153).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 2*z**2 + 16*z - 6. Let f be u(4). Suppose 0*y - 5*b = -2*y + 33, y - 14 = 2*b. Suppose 2*w = y*w - 50. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/17 (c) 0 (d) 0.1 (e) 47\/3 (f) -4 (g) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**2 - 260*l - 254. Let u(h) = -h**2 - 52*h - 51. Let g(v) = -3*d(v) + 14*u(v). Factor g(q).\nAnswer: 4*(q + 1)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -215*g**2 + 6*g - 776*g**3 + 2213*g**3 - 106*g**2 + 56*g**2 + 0*g wrt g?\nAnswer: 8622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18975460, 18975464, 18975470, 18975478, 18975488, 18975500?\nAnswer: 18975514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -48. Suppose -2*h - h - 4*f = -o, 0 = 5*f - 10. Suppose 3*m - h*i = 15 - 2, -3*m + 5*i = -28. What is the smallest common multiple of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79217990 and 215.\nAnswer: 3406373570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:59 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 128 - 131 + 395 + 4*g**2 - 136.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*l**3 - 129*l**3 - 140*l**3 + 359*l**3 - 2 + 0.\nAnswer: -28*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**3*r**3 - 8966*n**3 - 12986*n*r**3 + 3*r wrt r.\nAnswer: -18*n**3*r - 77916*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 25 - 16 - 20*a)*(-17*a + 85*a + 11*a).\nAnswer: -1580*a**2 + 79*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(2 - (-2896)\/4). Let t = p + 6605\/3. Calculate the common denominator of t and 29\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from bbbmmbnbjbn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -4*j**7\/3 - j**5\/10 + j**4\/12 - 45*j**2\/2 - 2724*j. What is the third derivative of l(c) wrt c?\nAnswer: -3360*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - j**3 + 0)*(-3 + j**2 + 3) + (1 - 2 + 2)*(-8*j**5 + 9 - 9 + (-2*j**4 + 0*j + 0*j)*(-3*j + 0*j + 4*j) + j**5 - 2*j**4 + 2*j**4).\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182219177.\nAnswer: 7, 19, 1370069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*z = -10, -2*b - 10 = 5*z - 4. Suppose 0 = -3*s, 3*g + 0*g = -s + 78. Let p = g + b. Solve -3*d + 40 = -5*h + 3, -2*d + 4*h = -p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*q - 29*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 = -2, 0 = k - 3*s - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 5\/((-30)\/(-13)). Let w = 19 + -17. Let v = -2.4 + 2.7. Which is the biggest value? (a) w (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 5832?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2106 + -1821. Calculate the remainder when c is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.381+-19219.6\nAnswer: -19219.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5\/2)\/a)\/a)\/(a**(-3\/8)\/a))\/((a\/a**(-7))\/a**(-1))*((a**(1\/2))**23)**(-49) assuming a is positive.\nAnswer: a**(-4605\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -2\/73, -3, 47 in decreasing order.\nAnswer: 47, 0.2, -2\/73, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1818 divided by -4\nAnswer: 909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(112)\/(sqrt(16)\/sqrt(4)))**2 + sqrt(28)) + 5 + -4 + -1*sqrt(448).\nAnswer: -6*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92506752 by -64.\nAnswer: -1445418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1298*s + 24156 + 6944 = -839*s + 4937 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 + 62. Let u = 27 + v. Solve -21 = 4*p - 5*s, 5*s - u = 5*p + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 10*g**2 + 12*g - 9. Let x be w(11). Suppose -14 + 8 = -x*i. Suppose i*v = 4*r + 262, -5*r + 390 = 2*v + 3*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3)*(3 - -2). Let c be (0 + 13)\/(m\/(-10)). Calculate the highest common divisor of c and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1468119 (base 11) to base 15\nAnswer: 34a01a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3155)\/(-11358))\/(((-6)\/(-8))\/((-126)\/(-80))).\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.7 + 120148.\nAnswer: 120156.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 16 + 0 + 1. Let k be o(-8). Let g be (20\/8 - k)*-2. Let v(y) = 3. Let l(a) = a + 2. Determine g*l(j) + 2*v(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 78000560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -56700 at most as big as -56698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -43704 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, h: 1, t: 3, c: 5}. What is prob of picking 1 t and 1 h?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 12*a - 26. List the prime factors of s(-33).\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 134981, -43 in ascending order.\nAnswer: -43, -3, 134981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/424001 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 6*m**2 + 4*m + 18. Let s be y(-6). Suppose 0 = -2*r, 3*t - 5*r - 525 = s. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/5 of a millennium?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/13 - 46*d**2\/13 + 8*d\/13 + 184\/13 = 0. What is d?\nAnswer: -23, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 691315227 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 10. Let i be u(-6). Let j(v) = 0*v + 4*v**i - 69 + v**3 + 72 + 2*v. Let g = 4 + -7. Give j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1313*k**2 + 9*k + 10. Let y = 3 - 4. Let d be w(y). Suppose 6*n - 6240 = -d. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6630839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3*464\/(-24). Suppose -17 - 5 = 2*m - 2*o, 3*m - o = -39. Let u = l + m. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 0.742. Let n = t - 2.058. What is the nearest to -0.2 in 3, n, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a4 - -14098?\nAnswer: 136a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 418.5649 to the nearest integer.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 111000?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148487756*j**3 + 2*j + 21980708.\nAnswer: -890926536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t + 31*t - 88*t - 43.\nAnswer: -85*t - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 24570*l + 564052.\nAnswer: 2*(l - 12262)*(l - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273.5 + 274. Let w = 0.2 + 0.8. What is the smallest value in o, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104750 and 69135?\nAnswer: 3456750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - -21729827120.\nAnswer: 21729827175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 4*c + 3. Suppose 10 = i + 4*w + 1, 0 = -3*w + 6. Let m = i - 3. Determine n(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2. Let a(j) = 2*j - 1929. Give a(k(w)).\nAnswer: 10*w**2 - 1929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 2:03 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(1*sqrt(612) + 0))**2.\nAnswer: 36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - x + 13 = 0, -5*h - 31 + 16 = -x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 2. Let c = 637 - 638. Let i(o) = -12*o + 6. Let r(v) = c*i(v) - 5*a(v). Calculate r(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-4)*(-21)\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112110221102 (base 3) to base 10.\nAnswer: -284996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 19074877 = -2*j + 3*j, 4*j + 8 = 0. Let d = -6034975 - s. Round d to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -7 + 45\/6 + (-723)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7513*h**2 - 21*h**3 + 7524*h**2 - 22555*h**2 - 1 + 7518*h**2.\nAnswer: -21*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -126983?\nAnswer: 25396.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiiyiiyymymm. Give prob of sequence imm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/18 - 13\/12. Let z = -0.06 + -0.34. Sort a, -4, z in decreasing order.\nAnswer: a, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-1208)\/2265).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i - 5*i + 15*i + (4 - 2 + 0)*(3*i + 0*i - 5*i) - i + 0 + 0 as f*i + n and give f.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/((-4)\/(-32)). Let h(n) = -4*n + 6. What is the units digit of h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 442496\/9 or 49165?\nAnswer: 442496\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79095562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m, -3*y - 3*m = -m - 1056. What is the least common multiple of y and 68?\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 22, -6, -5 in decreasing order.\nAnswer: 22, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/155*(-70)\/(-14))\/((-14)\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -3\/2*n**2 + 1\/4*n**4 - 4\/3*n**3 - 7 - 6*n. What is w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r = 44*r - 17*r - 400 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.03 (b) -14 (c) 164 (d) -2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1292 - -2068. List the prime factors of t.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 147*r**2 - 37*r**2 + 23*r**2 - 52*r**2.\nAnswer: 81*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 6*o**2 + 9*o - 11. Let u be q(7). Suppose 5*z - 3*n - 30 = 0, 5*z = -u*n + n + 5. Solve 0 = z*j - 6*j - 3*w + 27, -4*j + 1 = -3*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152 or 151?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/1 - 36\/(-14). Let n = -14 - -14. Suppose 2\/7 + 2\/7*q**4 + n*q + 0*q**3 - f*q**2 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3*(-2)\/2 - 0 - -45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 19}. Give prob of picking 2 k.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/5 + 9*q**4\/5 + 31*q**3\/5 + 51*q**2\/5 + 8*q + 12\/5 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -10\/1443 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 15*r**3 + 3*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16935360 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 519 and 445475?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -1\/10*a**5 - 219 - 73\/4*a**4 - 1176*a**3 - 55223\/2*a**2 + 117649\/2*a. Suppose x(i) = 0. Calculate i.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 13) in base 8?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 180*x**2 + 178*x - 88. What is b(-91)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 607940360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242145*i**2 - 242147*i**2 + 484284*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -174 + 134. Factor 0*p + 2\/9*p**4 + 0 + 2\/9*p**5 - 2\/9*p**3 - 2\/9*p**h.\nAnswer: 2*p**2*(p - 1)*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1156)\/136*12\/17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 1\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(720) + sqrt(720) + sqrt(720)*1 + (sqrt(35)\/(sqrt(7)*-1))**2)*4.\nAnswer: 18 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Let o = -7 + 5. Let z = o + y. What is the second biggest value in -1\/2, z, 4\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13086*n. Let h(i) = -2*i**2 - 2. What is h(a(w))?\nAnswer: -342486792*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 118367 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 55223469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 328, 1, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 24*t**2 + 56*t**2 + 23*t**2 + 76*t**2.\nAnswer: 133*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6557985 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 158746404, 158746402, 158746400?\n\"Answer: -2*z + 158746406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 84*d - 45 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -872*f - 438. Give z(-1).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 10. Let t = -7 + -36. Let z = -36 - t. Calculate k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from sdmpppppdrmppdpdrdr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3805 divide 15061772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppcppcppppcpppppcp. Give prob of picking 1 c and 3 p.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 372\/7 smaller than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 2594736.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**2 + 12*y**2 + 7*y**2 - 288*y**3.\nAnswer: -288*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*(-30)\/9. Which is the smallest value? (a) 1\/3 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 + 439. Let b = -105 + d. What is the greatest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 b when four letters picked without replacement from hxhbxvahhxvahvuavx.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 24*b - 15. Let q be x(11). Suppose q + 17 = 6*d. What is the second derivative of -d - 7 - 14*n**3 - 19*n + 11 wrt n?\nAnswer: -84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 11*s = -756. Let t(w) = 8*w - 16. Let l be t(s). What is the greatest common factor of l and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32151475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*10\/(-115)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432000 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -z - 603, 4*w - 8*z = -7*z + 483. Let c be (0 + w)*37\/74. Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 322601 - 4070?\nAnswer: 316511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21\/8 - 131\/56. Let w = 0.12 - 0.12. Which is the closest to w? (a) -1\/5 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (489*13\/(-468))\/(2\/6). Let z = k + 40. What is the smallest value in z, -6, 29, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -91 (c) 256 (d) 0.4 (e) -4 (f) 3 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/2 + 61*t**4\/2 + 633*t**3\/2 + 2263*t**2\/2 + 1433*t + 588 = 0.\nAnswer: -49, -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -33. Differentiate 0*z - 3*z - h + 2*z + 2*z with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47792020721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**6\/15 - f**4\/12 - f - 2. Let a(y) be the first derivative of h(y). Find the third derivative of a(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*x + (37*x - 44*x + 25*x)*(-3 - 3 + 4) - 14 + 14 + 27*x + 2*x + 2 - 2 as l*x + t and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n + 16 + 47. Let p(o) be the second derivative of 0 - 1\/36*o**4 - 15*o + 2\/9*o**n - 2\/3*o**2. Factor p(x).\nAnswer: -(x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 - 4 = 0. Let s = d - 0. Solve -1 = -s*c + 4*i - 8, i = c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-38 - (38 - 86)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2546 (base 9) to base 13.\nAnswer: -b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 21 = -5*d, -3*d + d - 4*x + 6 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*g**6 + 18*g**6 + 23*g**2 - 68*g**2 - 55*g**2 wrt g?\nAnswer: 17040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -18 + 26 - (0 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t + 7. Let b(c) = -6*c + 7. Let q(p) = 5*b(p) - 4*s(p). Let v(h) = -5*h + 42. Let n be v(7). Let z(f) = f - 5. Calculate n*z(g) + 5*q(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {m: 2, v: 4, u: 5}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6822 is divided by 360?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a74 (base 11) to base 7.\nAnswer: -3523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297436313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697813 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4338 and 27?\nAnswer: 13014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53370, -106732, -160092, -213450, -266806, -320160?\nAnswer: -373512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 165569426?\nAnswer: 165569424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114794195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1362, 3984, 7876, 13050, 19518, 27292, 36384, 46806?\nAnswer: 58570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1791 + 5375\/3. Suppose w*i - 4\/3 + 2\/3*i**2 = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128055 is divided by 200.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 6. Let q = 0.25 + -0.2. Let t = q + 0.25. What is the nearest to -0.1 in t, w, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5 - 4. Let i(k) = k**2 + 7*k - 9. Let w = 7 - 4. Calculate the remainder when i(c) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/12 + 1934*x + 1. Let d(z) = 276*z. Give u(d(w)).\nAnswer: -76176*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*f + 3*f + 3, 0 = -3*f + 5*i - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**4\/4 - 8*p**3 - 47*p**2\/2 - 53*p - 72. Calculate the remainder when 61 is divided by h(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from qkjjyqmymmkp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 57. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*s - 276*s + 132*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + p - 5*p = 0, -o = 4*p + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s = -17*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1010755184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvlvgglvglggllggggv. Give prob of picking 1 v and 2 g.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -153, 26, 2\/3, -2\/1255?\nAnswer: -2\/1255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 14. Suppose -h - 7*x + 4*x = -4, 0 = 4*h + 4*x - 16. Suppose -74 = -5*v - h. Calculate the smallest common multiple of i and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2. Let k(a) = -3*a**2 + 107*a - 107*a. What is k(g(n))?\nAnswer: -192*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3\/4)*c)**9*c**12\/(c**5*c) assuming c is positive.\nAnswer: c**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -44, -5, 5, 2, -4, -17 in descending order.\nAnswer: 5, 3, 2, -4, -5, -17, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 12:37 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 14*b + 30. Let a be k(-12). Solve a*u - 4*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -k - j, j + 12 = 2*k. Suppose k*m = 181 - 29. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -22 + 7 - -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 5*h - 5. Let t be g(6). Let a(u) = 12*u + 1. Let x be a(t). Let b = 18 - x. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2537*f - 2572*f - 16*f**2 + 18*f**2)*(-2*f**2 - 4*f + 4*f).\nAnswer: -4*f**4 + 70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140.556 rounded to the nearest ten?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*s + 4*o, 5*o + 0 = 3*s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60194 (base 16) to base 11.\nAnswer: 249807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6487915 to the power of 1\/2, to the nearest integer?\nAnswer: 2547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:45 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*h + 23*h - 36*h.\nAnswer: 347*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -72292 (base 10) in base 6?\nAnswer: -1314404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, 1 o, and 1 c when four letters picked without replacement from clojloiuuuljuc?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6735089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411105 - 2133?\nAnswer: -413242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2202 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 222*o + 109*o + 206 - 719 + 118*o.\nAnswer: 5*o - 656","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.5014 rounded to the nearest integer?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 2533.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41817 + -41573.19. Let q = 248 - w. What is q rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.497 to one decimal place.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/106374477 and -131\/340780?\nAnswer: 2127489540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 21*g + 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 98.74607kg?\nAnswer: 98746070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + -4.09. Let s = 5930 - 5964. Which is the biggest value? (a) p (b) 2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1.3, 0.3, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1254\/190 + (3 - (-26)\/(-10)). Solve 0 = -2*z - 5*k - 31, -2*z = 4*k + 33 - q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*u - 38*u - 19 = -4*v, -5*v + 0*u = 5*u - 2*u - 45 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - v - 2*v**3)*(-2*v - 2*v + 3*v) + (1422*v + 491*v - 544*v)*(-2*v**3 - 2*v**3 + 2*v**3) to f + x*v**2 + q*v + u*v**4 + w*v**3 and give u.\nAnswer: -2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/35)\/(((-6160)\/80)\/77)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = -j, -4*j + 10 = 2*p + p. What is the second derivative of -12*l**4 + j + 24*l - 6*l - 4 wrt l?\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -1800, 0, -250 in descending order.\nAnswer: 0, -112, -250, -1800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y**2 + 0*y**2)*(2*y - 2*y + 2*y) + (3*y - y + 4*y)*(y**2 - 6*y + 6*y) - 2*y + 2*y - 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let n(a) be the second derivative of -a**5\/20 + 5*a**4\/12 + 2*a**3\/3 - 2*a**2 + 3*a. Let b be n(5). Let s(w) = -b + 16 - w. Calculate s(d(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-234)\/8))\/(24\/36).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/261259 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -5*a + 198. Suppose 5*g + a = 2*f, -f - 2*g + 34 - 1 = 0. Suppose -2*r + f = s, -2*s = -6*s - 12. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 61, -0.8, 1, -0.3, 0, -8 in ascending order.\nAnswer: -8, -0.8, -0.3, 0, 1, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(2\/33)\/((f*f\/(((f*f*f**(-16)*f)\/f)\/f*f)*f)\/(f**(-2\/13)\/f*f)) assuming f is positive.\nAnswer: f**(-223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {a: 1, l: 18}?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/((-72)\/(-6))*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737 a factor of 30645891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and -89.159.\nAnswer: -87.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/29121408 and 107\/131046336.\nAnswer: 262092672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -199*v + 406*v + 65*v**2 - 208*v in the form a + z*v**2 + k*v and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 4*a**2 + a - 6. Let x be b(-3). Suppose 2*k = -v - x - 8, -4*v = -5*k - 20. Solve -u - p = v, -u - u = 4*p + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hchm. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = -7. Let w = -12038 + 12042. Solve w*d = -h - 0 - b, d - 14 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 4*x + 3. Let q be j(3). Suppose -5*r + 10 = -5*m, 4*r = -3*m + 2*m + 3. Let s be (12\/76)\/(m\/(-2)). Which is smaller: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3960)\/220 - (-387630 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328330 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320*s - 1349*s + 12122 = 0. Solve 0 = f + s - 413 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3732296 plus 579?\nAnswer: 3732875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-3)*(0 + (-7 - -6)). Solve 13 = -2*x + j*x - 3*o, 3*o + 3 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -24, -3, -30, -91, -4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -6*d + 24705 + 41967. Is d a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823 != 4825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 448.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -4494 and -4492 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 11*p + 44. Let o(r) = -r**2 + 2*r + 8. Let y(w) = 2*c(w) - 11*o(w). Let i(f) = -17*f. What is i(y(a))?\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (81 - 78 - ((-1 - -2) + -2))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202 and 79584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(891) + (sqrt(891) + 0 - sqrt(891)) + -2 + (-1 + sqrt(891))*3) + 5 + 3.\nAnswer: -216*sqrt(11) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 2, -1\/4, -0.1, -0.0852, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/7 + -71\/28. Let l = 7 + -4. Let z be 0*(2 + -5)\/l. What is the nearest to n in z, -2, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(3\/11)*g))**0*g**21\/(g**(-13)\/g) assuming g is positive.\nAnswer: g**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, -13 in ascending order.\nAnswer: -19, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 9 + 24*m**3 - 23.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -0*o - 4*w - 12, o - 4*w = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 6*w - 4. Let s(b) = -3*b**2 - 17*b + 11. Let k(r) = -r - 11. Let z be k(0). Determine z*u(p) - 4*s(p).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*j**4*p - 6*j**4 - 8999*j**3 + 6834*j**2*p + 3*j*p - 3*j - 342*p wrt j.\nAnswer: -2328*j*p - 144*j - 53994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 983658635 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: What is the units digit of (156\/(-9))\/4*84\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4963162 is divided by 703.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 37719258?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 15*r**2 + 21*r + 21. Let q(d) be the second derivative of -d**4\/4 - 2*d**3\/3 - 2*d**2 - 395*d - 2. Calculate -2*m(y) - 11*q(y).\nAnswer: 3*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29628811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -1, 0.1, 5920?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 - 317*m**2 + 115*m + 951. Let r be x(-106). Which is the second biggest value? (a) 4 (b) 24.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-1)\/(-2) + (-3 - -2). Let q(b) = -2*b - 7. Let l(d) = d + 6. Let n(w) = -3*l(w) - 2*q(w). Calculate n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*113568.\nAnswer: -3861312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1286 and -0.2.\nAnswer: 0.02572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.5, 1, 2\/17, 13, 0.13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*g - 3*g - 17, -2*g - 8 = 0. Let h(w) = 22*w - 7. Suppose 0 = -0*k + 2*k - 176. What is the remainder when k is divided by h(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -152*q**2 + 12222 - 12222. Let h(y) = 2*y**2. Calculate c(h(j)).\nAnswer: -608*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + h - 5. Let b(i) = i**2 - 3. Let l(c) = -3*c - 13. Let d be l(-10). Suppose -5*p - d = -2. What is p*x(r) + 5*b(r)?\nAnswer: -r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(22)\/(sqrt(55)\/(sqrt(20)\/sqrt(4))) - 3*(1 + sqrt(4)\/sqrt(2)))**2 + -4.\nAnswer: 13 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5 - 0, 0 = -4*h - 5*s + 75. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662513 at most 662577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 231881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(8) + sqrt(8) + -3)*-4 + (4*(sqrt(88) + (sqrt(88) - 2*sqrt(88))) - sqrt(88))\/sqrt(11).\nAnswer: -18*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*m + 9 - 20*m + 60*m - 20*m to the form w + l*m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0.0418, 2\/3, -3\/7 in descending order.\nAnswer: 5, 2\/3, 0.0418, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000059947 rounded to 6 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + (sqrt(3888)*-3 + sqrt(3888) - sqrt(3888)))\/(-1*(sqrt(9) + (sqrt(9) - sqrt(36))) + sqrt(9)))**2.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = 6*z - 73. What is the tens digit of 7\/(z\/(-35)) + 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*l**3 - 440*l**4 + l + 441*l**4 - 2*l**3 - 5 in the form d + r*l**4 + w*l**2 + z*l**3 + m*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 8*q**2 + 2*q**2 + 8*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*m**4 - m**3 + 4*m + 2612 - 2609 - 2*m in the form v*m + g*m**2 + z*m**3 + x + y*m**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**3*o*t - 3*c**3*o + 22*c**3*t + 5*c**2*o + 637*c**2 + o - 114*t wrt t.\nAnswer: 3*c**3*o + 22*c**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = -10*a - 214 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -336?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(sqrt(78)*4 + sqrt(78))*-6)\/(sqrt(864)*2*-2).\nAnswer: -1 + 15*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2864 + -2863. Which is the nearest to j? (a) 0.2 (b) 5 (c) 0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1476 + 1436. What is the closest to 1\/3 in 5, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-11)*1*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -375994 or -376008?\nAnswer: -375994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83664 and 32785?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - m - 44704, 3*r - 4*m - 4152 = -48836. Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39443 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 27844 - 5*z + 1005.\nAnswer: z + 28849","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 7*z**2 - 4*z - 7. Let m be b(6). Suppose -m*v = -4*v - 28. Suppose 0 = 3*h + 2*r - v, r - 39 = -5*h + h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83232726 to the nearest integer?\nAnswer: 9123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -0.32 (c) -2\/19 (d) 0.05 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05 less than -256029.8?\nAnswer: -256030.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34, -6\/31, 0, 572, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(50*46\/(-920))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)*-1*8. Let z = -3 + m. Suppose -285*p = -290*p - i + 46, -3*i - 24 = -3*p. Solve 5*d + p + 31 = 4*a, -4*d = -z*a + 41 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 10*g**2 + g - 2. Let b be s(7). Let f = -63 - b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -166, -187, -224, -289, -394, -551, -772?\n\"Answer: -2*a**3 + 4*a**2 - 19*a - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.013 (c) 3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -20. What is the remainder when 8 is divided by (4\/t)\/((-7)\/(-35))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*((-1*sqrt(160) - sqrt(160)) + sqrt(160)))\/((sqrt(20)*1)\/sqrt(4)))**2.\nAnswer: 18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 141 = 2*b - 433, 0 = 5*b + 3*s - 692. Suppose -2*g + 6*g - b = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10452551 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*q**2 + 226*q - 111*q - 115*q.\nAnswer: 207*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -55*z**2 + 2*z. Let i be ((-5)\/(595\/34))\/(30\/(-14) + 2). Let g(s) = 165*s**2 - 7*s. What is i*g(y) + 7*b(y)?\nAnswer: -55*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445\/534*42\/(-10)*-38.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - c)*(-c**2 + c**2 + c**3) - 60*c**4 + 11*c - 11*c + (-4*c**2 + 5*c**2 + c**2)*(c**2 - 3*c**2 + 0*c**2) + 3*c**4 + c**4 - 6*c**4.\nAnswer: -67*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003426461 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 124537844303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.053454\nAnswer: 0.213816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 32 - 62*s - 36 + 97)*(3*s**2 - 4*s**2 + 2*s**2).\nAnswer: -62*s**3 - 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 143*c**2 + 271*c + 1552. What is the lowest common multiple of 831 and y(141)?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u. Let o be h(-7). Suppose -x = 4*p - o, 2*p - 2*x - 7 = 33. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = 2*j, 3*m - 4 = m + j. Suppose -w + 19 + m = -4*u, 4*u + 15 = 5*w. Suppose 3*h - 27 = -6. Sort 0.3, h, 2, u in descending order.\nAnswer: h, 2, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 10. Let n be x(2). Let h(z) = -z**2 - 7*z - 6. Let s be h(-6). Let u be 22\/2 + s + 1. What is the highest common factor of u and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 + 3*r - 2. What is v(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41032263 divided by 13677421.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1*g*g*g)\/g)**(-2\/13))**(-6\/17) assuming g is positive.\nAnswer: g**(36\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -20*d. Let a(t) = 7*t**2 - t + 1. Let u(f) = 36*f**2 - 6*f + 6. Let m(i) = 6*a(i) - u(i). Determine m(z(n)).\nAnswer: 2400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2170 and 154?\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x - 18. Let l be 2\/(-9) - 29\/x. Suppose 0 = l*k - 0*k. Solve k = -0*f - 5*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-2\/17)*l*l*(l**(1\/15)*l)\/l)\/(l**(-3\/5)\/l**1))**(1\/26) assuming l is positive.\nAnswer: l**(295\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (13 + (5 - -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiddissddsss. What is prob of sequence sds?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/4*(-12)\/5. Suppose -65 = d - p*d. Calculate the remainder when 38 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/5 (b) -0.6 (c) -18\/23 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -7*s - 43 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 38. Suppose 3*f + 4*a - 34 = -a, 4*f - 60 = -3*a. What is the highest common factor of f and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 - 94*c - 824. What is r(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752190807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -0.4 (b) -4\/7 (c) 12 (d) 0.3 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, f: 9}. Give prob of picking 1 f and 1 p.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 321806238 divided by -6?\nAnswer: -53634373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4723, -18502, -41343, -73258, -114259, -164358, -223567, -291898?\nAnswer: -369363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 28 - 37*f - 11 - 10 - 18. What is the hundreds digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 5. Let s be a(-4). Let k = -1328\/15 - -266\/3. Sort k, 3, s in descending order.\nAnswer: 3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (564*f**2 - 1291*f**2 + 559*f**2)*(-4*f + 4*f + 5*f**2) to w*f + v*f**4 + o*f**2 + m + r*f**3 and give v.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 389 and -0.35.\nAnswer: 388.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-168)*(-736)\/(-5612)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -f, 2*c + 3*f - 5*f = 2. Solve 4*t = 4*u + 16, 2*u = 4*t - c - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1516179449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16\/3*(-3)\/(-5)*110\/(-44)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.83 rounded to two dps?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -2)\/((-1)\/45). Let b(u) = u**4 + 5*u + 4. Let r(w) = 10*w**4 + 55*w + 45. Let y(j) = v*b(j) + 4*r(j). What is the second derivative of y(h) wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003570411 to 5 decimal places.\nAnswer: -0.00357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 46*j. Let t(g) = 31*g**2. Give o(t(b)).\nAnswer: -2883*b**4 - 1426*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 4) to base 7\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -80*y**2 - 133*y - 717. What is a(-5)?\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124540, 249078, 373616, 498154?\nAnswer: 622692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -75.\nAnswer: -75, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -21 + 6435\/273 - (2610\/35 - 0)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.026 (b) 3\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -125. Let j be (-5)\/(-2)*(-4)\/(-2). Sort -5, n, j in ascending order.\nAnswer: -5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(11)*-2*-2 + -2.\nAnswer: -20*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:18 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1285\/55 - 92\/253. Solve -2*j = 5*f - 0*f - m, -4*f = 4*j - 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l + 2 - 10 - 41*l**2 + 42*l**2. Determine c(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.15 + 15.06. What is the biggest value in -3, y, -126?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 295 (c) 4\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34451\/36 or -957?\nAnswer: -34451\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2094, 5 in ascending order.\nAnswer: 1, 5, 2094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9078 - -9078. Put 508, d, 5 in decreasing order.\nAnswer: 508, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 776592, 776591, 776590, 776589?\n\"Answer: -g + 776593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/11, -23.64, 0.4 in descending order.\nAnswer: 0.4, -2\/11, -2\/7, -23.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, -10.9, 4\/9, -0.0251, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (415929 + -2 + 116\/29)\/(-2 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*l + 1497, 0 = -3*c - 5*l + 904 + 623. Calculate the highest common factor of 144 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j - 11145 + 14112 = 0 for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*z + 44 = 0, -6*z + 50 = j - 2*z. Let n = j + 275. Suppose 4*s = c + 2*s - n, -s = c - 330. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + 5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let d be p(6). Suppose d = 2*n + 2. Suppose -n*v - 2*o = -o - 25, -2*v - 13 = 5*o. Solve 5*t - 4 = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480370 and 450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 934 = 5*l - 3*d - 76, 5*d + 606 = 3*l. Suppose 2*f + 2*y = -262, 0 = 4*f - 2*y + 327 + 203. Let v = f + l. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99555*m**2*z - 384*m**2 + 33*m - 3 wrt z.\nAnswer: 99555*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 3.05. Let c = m + 2.84. Let r = 0.16 + c. Which is smaller: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 210*g + 48. Let v be o(7). Which is greater: v or 3033\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 895 = w - 32, 5*a - w = 1439. Calculate the highest common divisor of 180 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 94308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 0.06 (b) 0.3 (c) -0.3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.01, 4, 3\/5, -11 in descending order.\nAnswer: 4, 3\/5, -0.01, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14693940 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5579?\nAnswer: 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d - 8*d + 3*d. Let n(q) be the third derivative of 3*q**5\/10 + 2*q**2 + 220*q. What is n(i(k))?\nAnswer: 450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/5*((-1)\/21)\/((-166)\/1743).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(m + 2 - 2) + 2*m - 6*m + 3*m + (1 + 0 - 2)*(-1232*m + 3685*m + 2886*m + 7192*m).\nAnswer: -12530*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5259 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -2 (c) 37\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 4*n + 28*n**2 - n - 6*n - 295*n**3.\nAnswer: -295*n**3 + 28*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.002 greater than 1497\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 8 - 832. Suppose -t*d + 204*d + 48454 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 4. Suppose 15 = 8*v - 3*v. Let c be l(v). Suppose -c*g + 319 - 14 = 0. What is the remainder when g is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 226*g**5 + 908*g**4 + 694*g**3 + 12*g**2 = 0.\nAnswer: -3, -1, -2\/113, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 3\/(-1) - 75*133\/(-21)?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 23 + 18 + -14 + 3 - 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j**2. Let t(c) = 13*c**2 + 4*c - 36. Let q(n) = -522*n**2 - 162*n + 1458. Let o(d) = 4*q(d) + 162*t(d). Calculate o(y(m)).\nAnswer: 2592*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8541.16 to the nearest ten.\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 85\/3 + (-5)\/15. Let c = 21 - h. Is -4 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38200 and 700?\nAnswer: 267400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 5, -5, 4 in decreasing order.\nAnswer: 44, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 3, z: 1, n: 1, j: 1}. What is prob of sequence njza?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10216, -10214, -10212, -10210, -10208, -10206?\n\"Answer: 2*c - 10218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 56125872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26603802 and 14841?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:57 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6225538 divided by -5\nAnswer: 6225538\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2046 by -93.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -55. Suppose 0 = i*y - 317 - 493. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282*0.74\nAnswer: -208.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(1573) + -3 + -1 + (1 + sqrt(1573) + 1 - (5 + sqrt(1573) + 0)))**2.\nAnswer: 308*sqrt(13) + 3244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 95. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + -9 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 755*n - 750*n. Suppose -l + 10 - 6 = 0. Suppose -d - 6 = d + 4*z, -z - n = -l*d. Solve -3*h - 3 = d*p - 8*p, 3*h + 3*p - 21 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.189293? (a) 4 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) - -4*(sqrt(171) - sqrt(171)*1)))\/(sqrt(729)*1 + sqrt(729) - sqrt(729)) - (-1*sqrt(513))\/(-2*sqrt(363)))**2.\nAnswer: 171\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(539) + 2 + -2*sqrt(539)))**2 - (0 + (3 + (1 + sqrt(539) + -2 - sqrt(539)))**2).\nAnswer: -13579 + 700*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20 - (4\/6 + (-65)\/39). Solve 5*s = 6 - u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 71, 167, 313, 515?\n\"Answer: i**3 + 16*i**2 - 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Suppose -2*f + 26 = m*c, -c = -2*c + f - 1. Suppose 2*s - c - 6 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b - 40*b = -1008 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11020221022110 (base 3) to base 15\nAnswer: -2ea4b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*j + 3*j - 4*a, 4*j + 4*a = 4. Let w be (1 - j)*1\/2. Let l = -1 + w. Solve v + 4*m + 4 = l, m - 2 = 3*v + 3*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 767\/155 (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9261 + 9732 = 495*x + 6123 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-10)\/4*((-252)\/5)\/(-18))\/1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*m = 2*r + 2, 16*r - 15*r = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*c - 243*c = -92. What is the remainder when 452 is divided by c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 + 4*w**2)*(-15 - 7 + 5) - 2*w**2 + 0*w + 0*w + (0 + 1 + 0)*(-2*w**2 - w**2 + 5*w**2) + 3*w**2 + 2*w**2 + 2*w**2.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343 - 343 - 9*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from nnllnnnnnn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + t**2 + t**2 + 6*t + t**2 + 0*t + 0*t + (-3*t + 4*t + 0*t)*(-2*t + 2*t - 2*t) - 2*t**2 - 4*t + 4*t.\nAnswer: -t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/9, 8\/5.\nAnswer: -4, -2\/9, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -33084, -4, 3 in increasing order.\nAnswer: -33084, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 + 4*w**2 + 6*w**2 - 3*w**2)*(-46*w**3 + 237 - 237).\nAnswer: -690*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 + b**4\/6 + 7*b**3\/6 + 35*b**2\/2 - 6364*b. Calculate t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:13 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/145 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let n(f) = -593*f**2 + 40*f. Let d(b) = -b**2 + 11*b. Let j(a) = 4*d(a) - n(a). What is j(y(w))?\nAnswer: 589*w**4 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 11*k**2 - 3*k + 14. Suppose -4*s + 2 = -2*s, 23 = 2*r + s. Let j be v(r). Let x = -17 - j. Put 0, 4, x in increasing order.\nAnswer: 0, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 191619 and 2595105.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/18*(-12)\/14. Let o = 22 - u. Calculate the highest common divisor of 198 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*b - 2*a, -4084*b + 4081*b + 19*a + 28 = 0. What is q in 5\/2*q**4 - 17\/2*q**3 + 0 + 0*q + b*q**2 = 0?\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2\/2 + 16. Let f be d(2). Let x be 44\/33 - f\/(-3). Solve 4*y = 3*j - 2 + 7, -3*y + 25 = x*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/60 - 5*p**2. Let s(d) = -2*d + 2*d + 3*d. Give s(n(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(270\/184) + 6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -29) + -5 + -25 - (-3 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14867842 is divided by 743390?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*s + 45, 0*w + 5*s = -3*w + 36. What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -397 or -1527?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Let m = i + 0.6. What is the nearest to 2\/9 in 1\/5, -5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/4*(2 - 4). Suppose -6*z = -2 - h. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.026 * -523228.4\nAnswer: 13603.9384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/109514 and 53\/86967.\nAnswer: 2956878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*x - 19, 4*x - 2*w = -8 + 6. Solve -x*z + 7 = 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 46 - (1 - (-20 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/19)\/(a**(-18)*a) assuming a is positive.\nAnswer: a**(325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 253371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v. Let d(l) = -16*l**2 + 13. Let x(u) = 8*u**2 - 6. Let y(a) = 6*d(a) + 13*x(a). What is h(y(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 50*f**4 - 8*f**3 - 12*f**2 + 669. Let x(r) = 2*r**4 - r**3 - 2*r**2 + 1. Let t(z) = i(z) - 6*x(z). Differentiate t(j) wrt j.\nAnswer: 152*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4\/11))\/(a*a*a\/(a**(-15)*a)) assuming a is positive.\nAnswer: a**(-172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 12. Let k = 4.6 - 5. Which is the nearest to 1? (a) t (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 128*b**3 + 124*b**2.\nAnswer: 4*b**2*(b + 1)*(b + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvv when three letters picked without replacement from vvwwwwvvvvv?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(7\/6)*r**(-4\/9))\/(((r*r\/(r*r\/r**(2\/23)))\/r)\/((r**3*r*r*r)\/r*r)) assuming r is positive.\nAnswer: r**(3575\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + g**2 + g + 8. Let d(r) = 2*r**3 + r**2 + 2*r + 15. Let j(b) = 6*d(b) - 11*i(b). Calculate j(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 0.1. Let u = t - -0.14. Put -3, 0, u in increasing order.\nAnswer: -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**4 - b**3. Let m(a) = 7*a**3 + 24 - 7 - 9 + 30. Let r(t) = m(t) + 6*p(t). Find the first derivative of r(n) wrt n.\nAnswer: -24*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28709 - 28708.9. What is the nearest to w in -5, -0.06, 2, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23569, 51652, 79735?\n\"Answer: 28083*j - 4514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*t**2 - 312*t**2 - 197*t**2 + (-1 + 1 + 3*t**2)*(-4 + 2 + 0) to h*t + o + z*t**2 and give z.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**3*i - 17148*d**3 - 3*d*i + 235*i wrt i?\nAnswer: -2*d**3 - 3*d + 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Suppose f*y - 4*z - 1 = 63, 5*y - z = 68. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*a - 9*a - 1507 = -490 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321032 (base 5) in base 7?\nAnswer: 330024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -714, -1091, -1466?\nAnswer: -1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkyyuy. Give prob of sequence qk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:36 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**3 + g**2. Let u(c) = -c + 12. Let w be u(10). Suppose 3 = o + 2. Suppose -o = -3*m + w*m. Determine z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1912.41969 rounded to the nearest ten?\nAnswer: -1910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v + 100 = 0. Let s be (16\/v)\/(4\/(-30)). What is the highest common divisor of s and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 3*s**2 + s - 5. Let y be p(2). Solve 2*a - y = a, -4*w = -a + 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86 - 1182393?\nAnswer: -1182479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136\/11 - 1223\/66. Which is smaller: o or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -3\/4, -1\/7, -6, -2\/41?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -44*g + 113. What is o(-8)?\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -81*n + 77*n. Let i(m) = 5*m**2 + 16*m + 18. Let h be i(n). Suppose -h = -4*f + 4*v - 331, 2*f - 274 = 5*v. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 6*b**2 - 13*b + 7. Let y be h(13). Let t = y - 7049. What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + a + 19, -4*a - 32 = -2*t - 3*t. Suppose u + t*u = 20. Suppose -2*g = -u*i - 6 + 48, 0 = -3*i - g + 39. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.4. Let v = -1.2 + 2.6. Let f = s + v. What is the nearest to f in 1, 2\/15, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6799)\/741 + 9)*72\/120?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 180 = -0*h. Calculate the common denominator of -79\/16 and 233\/h + (-1)\/(-5).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(-z - 3*z + 2*z)*(-4 + 1 + 6)*(2*z**2 + 0*z**2 + 2*z**2)*(14 + 10 - 15) to d*z**3 + x*z + y*z**2 + a and give d.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*8.35\nAnswer: 41.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, o: 7}. What is prob of sequence jjoj?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -54. Suppose 0*m + 5*m = 25, -127 = 2*o + m. Let n = o + 101. What is the remainder when n is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1.8, -5\/2, -22, 0 in decreasing order.\nAnswer: 0, -0.1, -1.8, -5\/2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 158. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (0 - (2 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 88.098, -0.3, -3, -29?\nAnswer: 88.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0 (b) 1\/2 (c) 2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 + s + 1. Let i(p) be the third derivative of p**5\/30 + p**4\/24 + p**3\/2 + p**2 + 146. Determine -i(z) + k(z).\nAnswer: z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1008)*-2 + -4)*-4 + -3 + 4)**2.\nAnswer: 48384*sqrt(7) + 1036161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*w**2 + 497975*w - 14021620 wrt w?\nAnswer: -10*w + 497975","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -34. Let j = p - 52. Let c = -11 - j. Solve -s + c*m = -10, -2*s - s + 2 = -m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 3 (b) 0.2 (c) 10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5659920 and 3045?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = 3*u, -25 = -3*u + k - 4. Find the third derivative of -14*h**4 + 4*h**3 + 12*h**4 + u*h**3 + 6*h**3 + 33*h**2 wrt h.\nAnswer: -48*h + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*g - 16, -2*n - 20 = 2*n - 5*g. Suppose -4 + 18 = k + 5*j, 2*j + 2 = n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/51 + -3007\/102. Find the common denominator of -46\/15 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-96)*((-9)\/(-14))\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -0.3 (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q**5\/7 - 1564*q**4\/7 + 6754*q**3\/7 - 10072*q**2\/7 + 6088*q\/7 - 1216\/7 = 0. What is q?\nAnswer: 2\/5, 1, 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(-4\/3))**(29\/4) assuming j is positive.\nAnswer: j**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 2*s)*(1 + 1 + 0) + (3 + 1 - 3)*(-3*s + 2*s - 6*s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/53))**5*d**11\/d**(-5\/6) assuming d is positive.\nAnswer: d**(3823\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6976201*d**2 + 7056545 wrt d.\nAnswer: 13952402*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2627 - -2632. Solve -m*w - 7*q + 4*q = -1, -3*q = -w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 1620.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/14904 and -167\/167670.\nAnswer: 670680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15*j - 4. Let t(n) = -4*n + 1. Let p(z) = 12*z - 2. Let u(a) = a**3 - 4*a**2 - 4*a - 3. Let s be u(5). Let b be p(s). Determine b*t(v) + 6*o(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 6*q + 4*q + (0 + 1 - 2)*(2*q + 3*q - 6*q) + 2 - 2*q - 2 + 1 + 4*q - 1)*(-1 + 5 - 3).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-50))\/(138636\/(-5)). Let f = -61184681\/646968 + i. Let u = f + 94. Put -0.3, -4, u in descending order.\nAnswer: -0.3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 54318*o - 325872. Calculate a(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5\/3 + 7583*z**4\/3 + 68308*z**3\/3 + 151828*z**2\/3 + 30368*z = 0.\nAnswer: -6, -2, -1, 0, 7592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34*3\/(-5))\/((-7)\/105). Is 305 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**6\/30 - 19*c**5\/15 + 33*c**4\/2 - 54*c**3 + 4*c**2. Factor r(d).\nAnswer: 4*(d - 9)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/11, -12.4, 3, 0.5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*sqrt(153) + (sqrt(17) - (2 + 3*sqrt(17))) + sqrt(1377) + -1 + 4 + sqrt(1377)).\nAnswer: 6 + 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(17) - (sqrt(17) + sqrt(51)\/sqrt(3))*1) + 3)*2)**2 - (-3*sqrt(136)*-2)\/(sqrt(88)\/(-2*sqrt(11)))) + 1.\nAnswer: -12*sqrt(17) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = -0*d. Let k(g) = -46*g. Suppose 4*p - 2*i - 40 = 0, 4*p - 5*i + 0*i = 28. What is the remainder when k(d) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -38. Let b = -18 + y. Suppose 3*l - b*l = -175. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-20\/9)*k)**(5\/16) assuming k is positive.\nAnswer: k**(-5\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/99 - 4\/(-18). Suppose 2*r - 17 = 7. Let q be (-2)\/(-20)*r\/9. Which is the biggest value? (a) g (b) q (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 10) to base 15\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1, -213 in decreasing order.\nAnswer: 25, 1, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16672 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/6 + (-4)\/(-8). Suppose -h + r + 7 + 108 = 0, -i*h = 2*r - 490. Round h to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 f, and 1 p when four letters picked without replacement from fcfppmppum?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16989993 to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -274, -298, -340, -406, -502, -634, -808?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -2. What are the prime factors of ((-2)\/n + 7)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 17*a + 70. Give q(-18).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1110 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173799\/37 or 4696?\nAnswer: 4696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*w = -20, 0 = 5*l - 7*l + 3*w + 8. Sort l, -4\/3, 3.\nAnswer: -4\/3, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190807427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2228\/840 - (-2)\/(-7). Let u = -719 + 3584\/5. Let q = u + o. Which is the third smallest value? (a) 0.2 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316164, 632169, 948170, 1264167, 1580160?\nAnswer: 1896149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r - 35 = 0. Let i(m) = -2*m + 8. Let x be i(10). Let z = x + 25. What is the remainder when z is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1168 + 1167. What is the fourth biggest value in 0, 1, -5\/4, v?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 545485264*c**2 - 142477011*c?\nAnswer: 1090970528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4146 = 3*l + 2*u, -2*u - 5548 = -4*l + 2*u. Let t = l + -743. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/70 - 198\/(-7). Let t = 50 - m. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2*1)*(-65)\/(-845)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/39583 - -4314127\/8312430. What is the common denominator of o and -27\/455?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*y = 2*y - 309, -2*y = -6*d + 1794. Solve -295*c + d*c + 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17145 and 332613?\nAnswer: 1663065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3 = 4*n + 8, 3*c = -3*n + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + 13\/78. Which is greater: a or 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let x = 0.0875 - 3.0875. Which is the biggest value? (a) 6 (b) o (c) 2\/3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -13, -11, 5, 41?\n\"Answer: x**3 - 2*x**2 - 7*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1377, -4, 0, 20, 27 in descending order.\nAnswer: 27, 20, 2, 0, -4, -1377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -34 - 25*r + 629*r**2 - 1250*r**2 + r**3 + 635*r**2. Does 21 divide v(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)*i**(-2\/3)*i**(-2)\/i**0)**35)**(-2\/5) assuming i is positive.\nAnswer: i**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 157281017779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:54 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 23*u**2 - 15*u - 17. List the prime factors of f(-23).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 2. Let j(p) = -5. Let s(i) = -4. Let k(l) = -3*j(l) + 4*s(l). Let g(a) = 2*k(a) + q(a). Let d(t) = 20*t**2. What is g(d(u))?\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 8270065 and 8270065 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15076809, -15076815, -15076821, -15076827, -15076833, -15076839?\n\"Answer: -6*i - 15076803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*d - 5028, -39*d + 40*d + 3*y - 2534 = 0. Suppose d = -24*z + 35*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110100 (base 2) to base 15.\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, 2\/3, 317.84, 3.\nAnswer: 0, 2\/3, 3, 15, 317.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 4*u = 80. Calculate the lowest common multiple of 21 and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((14*4\/(-16))\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -113*d**6\/2 + d**2\/2 + 21*d + 31. What is the second derivative of i(j) wrt j?\nAnswer: -6780*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1900)*1 - sqrt(1900)) - (3 + -2 + sqrt(1900)))**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*b + 20 = 0, -2*d + 3*d = 2*b + 5. Suppose -402 = -c - d*y, y = 2*c - 4*y - 819. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 v when four letters picked without replacement from vcvvvcvvcv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 896*y**3 + 4*y + 2 + 9*y + y**4 - 900*y**3 as c*y**3 + i*y**4 + u*y**2 + d*y + v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 314756 divided by 4?\nAnswer: 78689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.72 - -0.28. Let i = 1112240.999948 - 1112223. Let t = x - i. What is t rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 - 42*x - 198 + 34*x + 402.\nAnswer: -8*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 786 and 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 3*n - 3*n)*(n + 3*n - 2*n) + 0*n**2 - 8*n**2 + 17 - 19.\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-276)\/(-8) - -2)*-1. Is m > -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2407?\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/k**(3\/16))\/k)\/(k**28\/k)*(k*k**32)\/k**22 assuming k is positive.\nAnswer: k**(-243\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -461\/3, 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 16*s + 15*s + 7 = 0, -2*s = 3*y. Solve -4*x = l - x + 10, 2*x = -5*l + y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 4, f: 1, h: 1, g: 1}. What is prob of sequence fhk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -4*m**2 + 11\/12*m**4 - m + 5\/6*m**3 + 0 - 1\/30*m**5. Find the first derivative of u(s) wrt s.\nAnswer: -4*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 390 + 9*o + 0*o - 19*o + 5*o.\nAnswer: -5*o - 344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t + 1. Let r(z) = 4*z**3 - z**2 - 3*z - 2. Calculate -3*a(g) - r(g).\nAnswer: -g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 5*a - 9. Let n be s(-2). Let y be n\/(-2)*(-48)\/(-9). Solve 0 = -z - z + y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*r + 21 = 2*h, -5*r = 2*h + 9. Let f(l) = 2*l - 2 - 4 + 3 - 4*l. Give f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.07 (b) 0.5 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -50 times 0.48\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 35533. Let h(b) = 31*b - 2. What is d(h(f))?\nAnswer: -31*f - 35531","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975914667 is divided by 2746?\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -63 (c) -0.2 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278866050 a multiple of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7193 or 7173?\nAnswer: 7173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 38 = t. Let y = 88 + t. Let l be 6*(y - 5)*(-4)\/1. Calculate the greatest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7163, -14340, -21519, -28700, -35883, -43068?\nAnswer: -50255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -195666.9 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11293067.\nAnswer: 11293067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -20*c**2. Let m(t) be the second derivative of -t**3\/6 - 76*t. Determine m(o(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-3\/2)*(s\/(s\/s**(2\/3)*s))**(-34) assuming s is positive.\nAnswer: s**(127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39759 is divided by 497?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36293.\nAnswer: 36293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195205226 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-7 - 2*y**2 + 2*y + 5 - 3*y**3 + y**3) + (-y + y - 2*y**2)*(99 + 12*y - 99) - 3*y**3 + 4*y**3 + y**3.\nAnswer: -16*y**3 + 6*y**2 - 6*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -970399 at most as big as -970345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 442, 1404, 3218, 6154, 10482?\nAnswer: 16472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11649.11073854 - 13.90847854. Let a = r + -11801.2022697. Let b = -166 - a. What is b rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, 310, 834, 1506, 2320, 3270, 4350, 5554?\nAnswer: 6876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/8 - 1301*k**2\/8 - 2605*k\/8 - 1303\/8.\nAnswer: (k - 1303)*(k + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638621331.\nAnswer: 3, 19, 11203883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3451906.22 and -88.88?\nAnswer: 3451817.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 1. Let q(c) = 3*c. Calculate -2*m(s) - 3*q(s).\nAnswer: -5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21579.49 centuries to months.\nAnswer: 25895388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 335 and 17694830.\nAnswer: 1185553610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:46 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 0*h + 2*h)*(4 - 1 - 1)*(-3 - 3*h + 3) to y + j*h + d*h**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 13*d - 22. Let a be t(11). Let q be -1 - (0 + a) - 5*337. Calculate the remainder when q\/(-24) + 7 - 6\/(-8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31528?\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvgg when four letters picked without replacement from {l: 3, s: 2, g: 3, v: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 0*s**3 - 3*s**3)*(-1 + 3 - 4)*(-3 - 4 + 5).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16*x + 18. Let b be 2\/(6\/8 - (-70)\/(-200)). Let h(u) = -9 + 5*u + b*u + 2*u - 4*u. Let a(c) = 5*h(c) + 3*j(c). Differentiate a(w) with respect to w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780788 divided by 195197?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/90 and 25\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 1, q: 1, j: 2}. Give prob of picking 1 p, 1 q, and 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -110010001101?\nAnswer: 110010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.16782744 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from zgmnoonncoznonomn.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d - 6. Let a(x) be the first derivative of 4*x**2 + 5*x + 5. Let n = 12 + -6. Give n*a(h) + 5*j(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 221809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -47*v + 565. Calculate y(10).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 440?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7485*o + 1. Let p(l) = -2139*l. Let r(b) = 2*c(b) - 7*p(b). Let k(s) = 4*s + 1. Let g be (-1)\/((-1)\/2) + 2. Calculate g*k(j) - 3*r(j).\nAnswer: 7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 1 - x + 0 + x**2. Does 10 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 29*o + 92 = 25*o, 0 = 6*z - 5*o - 140. Calculate the greatest common factor of z and 1025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 73. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 9. Let d be 8 + 120\/z + (-8)\/6. Which is bigger: d or -1\/88?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.614 * 16.\nAnswer: -9.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {o: 3, i: 6, y: 2, q: 5, x: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 9*a + 19. Give x(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 21 = 8*f. Let l = f - -111. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 - 165*y**2 + 460*y - 300 = 0. Calculate y.\nAnswer: 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -4*d - 10 + 2, 4*l = 3*d + 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2800 and 875?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -117304 (base 12) to base 9\nAnswer: -468864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhchhhc. What is prob of sequence hhhh?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*3)\/(60\/40)*110. Let z = s + 236. Calculate the remainder when 89 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 831 by -849379.\nAnswer: -831\/849379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -2*g**5\/15 - 9*g**4 + 432*g**3 - 6318*g**2 + 39366*g - 6207. What is r in j(r) = 0?\nAnswer: -81, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-63)\/(-6) + (8\/2)\/(-8). Let z be 48\/21 + a\/(-35). Solve z*n = 3*k + 3, -3*n + 5 = 2*k - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1669 (base 10) to base 2\nAnswer: -11010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 70510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fvffvfvffvfv?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r + 0 + 0*r**3 - 1\/150*r**5 + 3*r**2 - 1\/75*r**6 + 0*r**4. Let d(h) = 0. What is h?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -6)*(-34)\/10. Solve -5*y = 3 + r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 70. Give m(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(v + v + 7*v)*(0 - 1 - 1).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/21)\/(258\/903).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -48. Suppose 0*u - c = o*u - 95, 4*c - 12 = 0. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 2, 1, 0, -3 in decreasing order.\nAnswer: 2, 1, 0, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584686 = 16345*t + 3734 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19190.\nAnswer: 2, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 111, -2, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 divided by 23203?\nAnswer: -169\/23203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 485 = -23*m - 140 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 4. What is the remainder when d(3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 71*c**2 - 898*c + 59482. What is w(72)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.132 + 0.202. Let s = -145.07 + 132. Let z = m + s. Which is the nearest to 0.1? (a) 1 (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/15, -0.17, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 + -2.2. Let x = 5 + -5. Which is bigger: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*t**2 - 29953789 + 29953789.\nAnswer: -135*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1830*f**6 + 1004*f**6 - 131 + 1481*f**2 - 4489*f**2 + 131 wrt f?\nAnswer: -99120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 14 = -4*a - 9, 0 = a - 4*h + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 69 = 6*t. Solve -a - 2*h + h = 2, -a = 2*h + t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7201901 and 1028843?\nAnswer: 7201901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2217 is divided by 99?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13746, 55094, 124008, 220488, 344534?\nAnswer: 496146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108*c**2*m*r**2 - 1404459*c**2*m*r - 553693*c**2*r - c*r**2 - 30*r**2 wrt m?\nAnswer: 108*c**2*r**2 - 1404459*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**4\/(k*((k\/((k\/k**(2\/19))\/k))\/k)\/k*k*k**19\/k) assuming k is positive.\nAnswer: k**(-439\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -580? (a) -0.4 (b) 32 (c) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231\/4 + -58. What is the second smallest value in 5, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -10*c - 51. Let f(h) = -20*h**2 + 120*h - 223. Let s(m) = -9*m**2 + 60*m - 111. Let i(v) = c*f(v) + 7*s(v). Solve i(p) = 0 for p.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035 (base 8) in base 12?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 796 and 246163.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -300, -384, -502, -654, -840, -1060?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 522*j - 1571. Let c be t(3). Let u(f) = -f**2 - 3 - 4*f + 0 + 6 - 4. Give u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 20 = 5*o, 83*o + 81*o - 166*o + 24 = -2*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7992df (base 16) to base 8\nAnswer: -36311337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379280 is divided by 2374.\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000072145452 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418 a factor of 2601051580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/40)\/(12\/(-2070)*-40) and 187\/30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -13\/2 (b) -0.4 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/4 (b) -2 (c) 12 (d) -133\/3 (e) 0.1 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otz when three letters picked without replacement from zttyyutjoztjt?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26916, 214763, 724572, 1717323, 3353996, 5795571, 9203028?\n\"Answer: 26830*i**3 + i**2 + 34*i + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-3)*n))**(2\/41) assuming n is positive.\nAnswer: n**(6\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49473 (base 10) to base 14.\nAnswer: -1405b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 4*o**2 - 3*o**2 - 2*o**3 as k + n*o + g*o**2 + q*o**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 48. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 12. Let b(s) = -16*s + 14. Let p(r) = -b(r) + 5*o(r). What is p(-8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2958*k - 18*k**2 - 2*k**2 - 2960*k)*(4*k - 2*k + 3*k).\nAnswer: -100*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 53075480815270.\nAnswer: 53075480815274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i*i**(1\/3))\/(i\/(i\/i**(1\/4)))**(3\/32)*((i\/(i**(-2\/3)*i))**(-13))**(4\/17) assuming i is positive.\nAnswer: i**(-19993\/6528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c = -161*c - 68*c - 805 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + g = d - 8, 0 = 2*d - 3*g + 6. Let a be 1\/(-5) - 22\/(-10). Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**3 - 81*o + 81*o + (5 - 4 + 0)*(4*o - 3*o + 0*o)*(-o**2 - o + o) - 5*o**3 + 3*o**3 - 4*o**3 as f*o**3 + c*o**2 + r + v*o and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.852052 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 24 - 107 = 0. Suppose -7*h + 36 = -t. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 383 and 19?\nAnswer: 7277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 7*p**2 + 2*p - 4. Let l be w(7). Let x be (-24)\/(-20)*l\/4. Suppose 0 = -x*v + 2*a + 663, 434 = 2*v + a - 15. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34410\/744 + 354\/24?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21500*j**2 - 28213*j?\nAnswer: -43000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7081 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 533633941.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 10 - 0\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 - p**2 - p + 2. Let y be l(1). Suppose 0*x = 4*x - 8. Suppose -3*h - x*v = -967, y*v - 2*v - 1290 = -4*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 2\/8 + (-39)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273200346.\nAnswer: 2, 3, 15177797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53942.\nAnswer: 2, 7, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 380*i + 10 + 5 - 24 as p*i + u and give p.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2238 less than or equal to -2239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/43144 - -71209179\/302008. Let y = l - 243. Find the common denominator of 65\/8 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -129, -397, -1209, -2835, -5545?\n\"Answer: -45*v**3 - 2*v**2 + 53*v - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c = 16*c + 72 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuubbukkukk. Give prob of picking 1 k and 1 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*p*r**3 - 97*p - 7*r**3 + r + 641 wrt p?\nAnswer: -5*r**3 - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + i + i + (7*i + 3*i - 4*i)*(10 - 28 - 11) as j + o*i and give o.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:05 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 5) to base 3.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*c + 3 - 13, -4*r + 20 = 2*c. Suppose 0 = -q + r*q. Suppose q*k = -5*k + 90. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 1\/2327 (c) 1\/9 (d) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.26856 to 2 decimal places.\nAnswer: 28.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 740 and 51430?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (441\/(-49))\/(-3*1)*4\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*p + 1 + 2, -5 = 4*d - 5*p. Suppose -110 = 2*z - z. Let w = z + 991\/9. What is the nearest to d in 4, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 + 14256*g\/5 - 16936128\/5.\nAnswer: -3*(g - 2376)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 22 = 5441*g - 5445*g, -2*o - 4*g + 0*g = -10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*c**3 + 19*c + 19*c - 26*c - 3*c**2 - 8*c**2 + 10*c**2 in the form w + d*c**3 + x*c + r*c**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 0 + -1 - -3 - -3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 4 = -3*f. Suppose 2*u = -f + 9. Suppose r + u*j = 3, -2*r + 4*j - 3 = -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 h be -101*1\/34 - -3. Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {j: 2, f: 4, a: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7845 and 3?\nAnswer: -23535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/39 - -473\/780. Let l(j) be the third derivative of d*j**5 + 1\/3*j**3 + 0*j + 1\/12*j**4 + 0 + 9*j**2. Give l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (26\/(-6))\/(8\/(-72)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 3*z + 3. Let k(p) = -10*p**2 - 16*p + 16. Let u(y) = -3*k(y) + 16*m(y). Let c(q) = 9*q. Calculate c(u(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/9))\/(z**1*z*z))**37 assuming z is positive.\nAnswer: z**(-592\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7945 by 227.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let s be (0*1\/5)\/(-1). Suppose s - 14 = -y. Let p(f) = -y*f**2 - 789*f + 789*f. Give p(k(b)).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*t - 49*t + 22*t)*(30*t - 38*t + 27*t) as w*t + a + m*t**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 14) in base 15?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5\/7 - 37*t**4\/7 - 63*t**3 - 1755*t**2\/7 - 1350*t\/7 = 0.\nAnswer: -15, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2 + 142*f - 548. Give t(10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4169, 8514, 12859, 17204, 21549, 25894?\n\"Answer: 4345*c - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 a when four letters picked without replacement from {a: 3, y: 1, o: 7, q: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.0307 - -0.0307. Which is the fourth biggest value? (a) 1 (b) l (c) 2\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 242, -4\/3, 4, 50\/9?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10101?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 443909945 to the power of 1\/3, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.12 in 5\/4, 3, 1509?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 4, -353 in descending order.\nAnswer: 4, -66, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + g**2 + g. Let k be f(-1). Let q be 23\/4 + k\/8. Let t(b) = b. Let s(r) = r**2 - r + 7. Let v(w) = s(w) - 6*t(w). Calculate v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(-4*m - m + 3*m) + m - 3*m - 2*m - 1 + 3*m - 3 - 2*m in the form u + i*m and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.16, 1\/4, -1, 0, -36 in descending order.\nAnswer: 1, 1\/4, 0.16, 0, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i - 11. Solve 2*x + 0*x = 2, 0 = m - i*x + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(4\/3))\/(((d*d**(-2\/11))\/d*d)\/d))**(-1)*(((d\/(d**(-1\/2)\/d))\/d)\/d)**(-31)*(d**(-1)*d)**(-2\/79) assuming d is positive.\nAnswer: d**(-1013\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13334 - -13333.99987419. Round z to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = -2. Let u be 6*p\/(-4)*2. Suppose 1 + u = 2*g. Calculate the least common multiple of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Let v be 1*b\/(3\/31). Let d = -188 + 529. Calculate the greatest common divisor of v and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, -14.9, -1?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**2 - 58*o**2 + 24*o**2 + 16*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1))**(18\/11))**(-18)*b*(b**3\/b)\/b*b**(1\/2)*(b\/(b*b**(-3\/2)))\/(b**(1\/5)*b) assuming b is positive.\nAnswer: b**(-3086\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46172692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*3\/12*0. Suppose x = 5*y - 7*y + 10. Suppose 0*r - 6 = 3*r, -2*r = -y*c + 149. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/36 - 130\/(-24))*228?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/8*(-552)\/(-207).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10398829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 3*l**2 - l - 1. Let x be i(-4). Let d = -3 - x. Let y(k) = k**3 - 11*k**2 + 11*k + 8. Does 4 divide y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 1309286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2\/o*o*o*o\/o**(-2\/9))\/(o**(-1\/3)*o)**(13\/2))**(-14\/5) assuming o is positive.\nAnswer: o**(-112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*f + 20 = 0, -5*u - 4*f + 19 = -1. Let h = 5 + u. Let b(x) = x**2 - 6*x - 2. What is b(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 268*n - 280*n - 6 - 143 + n**2 - 67. Give k(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2444906, -4889801, -7334696, -9779591, -12224486?\nAnswer: -14669381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 7. Let n(b) = 5*b + 20. Let j(g) = -115*g - 477. Let t be j(-4). What is t*h(s) + 6*n(s)?\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, f: 11}. What is prob of sequence nfn?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.09 + -0.09. Suppose 4 - 1 = h. Which is the closest to -0.1? (a) m (b) 0.6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (0 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k + 13 + 1 - 6 - 8.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -33) + -23 - (-7 + 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2637*r**2 + 414*r**2 - 261*r**2.\nAnswer: -2484*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/245 - -123\/1960. Let p = z - 107\/360. Let s = -11.4 + 10.9. Which is the third smallest value? (a) 1 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-4968)*((-135)\/9)\/5.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z + 412. Suppose -3*u - 9 = -6*u. Suppose 25 = -u*y + z. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -743 + 737. Let d = -360.4 + 360. Which is greater: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640124 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -401, -602?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.016 at least as big as -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 3*m. Solve 5*l = l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*b + 96 = -85*b. Let x(w) = 10224*w**2 + 36*w - 180. Let j be x(b). What is j rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32662549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2 - 126198*b + 126201 = 0.\nAnswer: -42067, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(7\/5 + (-226)\/226).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Let i(y) = 7*y - 39. Determine -4*c(g) + i(g).\nAnswer: -g - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + u + 19, -3*d - 35 = 2*d + 5*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438 - -676. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Suppose 9*n - 14 = 2*n. Let r(b) = b. Give n*r(o) - 4*z(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 + -2.7. What is the closest to 3 in f, -2, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030671381 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(153) + 2*sqrt(153) - sqrt(153) - sqrt(153)))\/(-2*sqrt(9)*2))**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/(c\/(c\/(c**(-2\/5)*c))))\/(c**15\/(c**(-2\/9)*c)) assuming c is positive.\nAnswer: c**(-137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 447650, 1791324, 4031020, 7166744, 11198502?\n\"Answer: b**3 + 448005*b**2 - 348*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 - 220*q + 365. Give a(72).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) -1\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/11, 2\/5, -523, -3\/11, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -144, -322, -582, -930, -1372?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 y when four letters picked without replacement from yfffffffyffffy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -5 (c) -2\/4701\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1314*s**3 + 1058.\nAnswer: -3942*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/42*(-147)\/42?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 16. Let d(c) = 3*c - 16. Let y(t) = -3*d(t) - 4*i(t). Let a = 187 + -196. What is y(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*t + 26*t - 186. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/6048 and 19\/4896?\nAnswer: 102816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:43 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*(-21 - -24). Suppose -b - 2 = -q. Let s(f) = 5*f - 3. What is the tens digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33553 and 10057?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 8. Suppose -11 - 21 = -4*d. Let j be c(d). Suppose 3*p = -4*t + 78 + 2, 5*t - p - 100 = j. Calculate the highest common factor of 80 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1726\/179 or 10?\nAnswer: 1726\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -5*p**8\/336 - p**7\/14 - p**6\/8 - p**5\/12 - 5*p**2 - 2. Let g(n) be the second derivative of z(n). Factor g(h).\nAnswer: -5*h**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2108 = 218*n - 286*n. Solve 28*o = -2*v + 23*o + n, 0 = -3*o + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 - 5*r + 2. Let f(j) = -j**3 + j - 1. Give 2*f(m) + l(m).\nAnswer: -m**3 - m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/76086 and -149\/5508.\nAnswer: 7760772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 54 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = t + 1, -g = 2*t - 7. Let d be (-12)\/(-7)*(-14)\/g. Let r be (7 + -1)*-2*-2. What is the greatest common divisor of d and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 24173*g + 6772919. What is b(287)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720900 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1682152 is divided by 1682042.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 298506 divided by 3\nAnswer: 99502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 1 l when three letters picked without replacement from pxjcjzcczzclcccxjc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1\/7, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 18. Let b = h - -7. Find the second derivative of g - 6*g + 3*g - b*g**3 wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 540, 0.04, -112.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srssmommsossoo. What is prob of sequence om?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44768, -44772, -44776, -44780, -44784?\n\"Answer: -4*k - 44764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(735\/(-246) + 3). Let p = r - 16. Suppose -13 + p = 3*a + k, 0 = 5*a - 2*k - 92. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k - 27 + 27 in the form s + c*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -347 * 16\nAnswer: -5552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, f: 4, p: 9}. What is prob of sequence fp?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - 1001111000010000?\nAnswer: -1001110111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*o**3 - 1218*o**2 + 1218*o**2.\nAnswer: -82*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10086 and 514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/(-21))\/((-372)\/434))\/(-186).\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q - 12. Let o be 1 + 430 + (q - 0). Suppose k - 1 = 0, 4*k - 3*k + o = 2*z. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 4*s**4 + 3*s**4 - s**3)*(168731 - 510*s - 168731).\nAnswer: -510*s**5 + 510*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 22*f - 34. Determine j(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/10*(81\/(-162))\/(-8 + 6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-765)\/2244)\/((-129)\/(-712)) - -2 and -113\/110.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 4381?\nAnswer: -16\/4381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 357.4106 kilograms?\nAnswer: 357410600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-18 - (-10 - (1 + -9))) + -3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 3 + 20279*u**4 - 22290*u**4 + 0 - 9*u**2 + 148*u wrt u?\nAnswer: -48264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 328, 245, 162, 79, -4, -87?\n\"Answer: -83*l + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 33560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) 309 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 139*r**3 + 35*r**2 + r + 25. Let s be u(-25). What is s rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from cppwllllapwwppppp?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/720 - o**5\/60 - o**4\/6 - 5*o**2. Let j(v) be the second derivative of u(v). What is j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30307569 is divided by 622?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 46*h + 95. Determine y(-46).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 4*s - 4*s)*(-2*s**2 + 6*s**2 - 3*s**2) - 4*s**5 + s**5 + 2*s**5 + (2*s + 3*s - 2*s)*(-4*s**4 + 0*s**3 + 0*s**3).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20 = -p. Let r(k) = -3*k**2 - 7*k + 7. Let u(y) = -2*y**2 - 4*y + 4. Let b = 1 - 1. Let q(l) = l + 3. Let g be q(b). Determine g*r(v) + p*u(v).\nAnswer: v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.8 less than -0.186?\nAnswer: 242.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2. Suppose -21 = 5*j - 3*o - 0, -2*o = -4. Suppose -6 = -2*f - f. Let v(t) = -t + 2. Determine f*v(k) + j*h(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(847) + 3 - ((sqrt(847)*-2 - sqrt(847)) + -3)))**2.\nAnswer: 396*sqrt(7) + 3469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -5 (c) -2 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from dwyyaalw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2631 is divided by 264.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t - 58. Let n be h(-11). Suppose -4*d + n = -2*g, -2*d - 4*g + 26 + 10 = 0. Solve -4*s = -2*i + d, -2*i + 0*i + 3*s = -10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from ididddddddiddi.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -16.221, 207?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 5766090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x = -12. Let q(d) = -d - 5. Give q(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*k - 4*k + 8*k + (k - 3*k + 0*k)*(-1 + 1 + 2) + 0*k + 2*k + 0*k in the form c*k + p and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 (base 8) in base 11?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(0 - (-14)\/(-4))*-2. Suppose -t*g - 64 = -23*g. What is the remainder when 30 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*k**3 - 2*k + 780*k**2 - 1563*k**2 + 783*k**2 - 1182*k**3.\nAnswer: -1001*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6 - (-3)\/2. Let c(n) = -n**2 + 4 + n + 3*n**r - 8. Is 8 a factor of c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -413*u**5\/2 + u**4\/6 - u**2 + 628*u. Find the third derivative of i(z) wrt z.\nAnswer: -24780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72.5 + 69.5. Let p = 0.05 + -0.05. What is the third biggest value in 4, 0.3, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 114*z + 324 = 0 for z.\nAnswer: -54, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 89334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 17*h + 18. Let y be o(-16). Which is the third smallest value? (a) -1\/2 (b) y (c) -1\/4 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 8. Calculate f(17).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*l + 43, 2*d + 2*l - 76 = 0. Calculate the remainder when 63 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogooggoofggggogoooo. Give prob of sequence foo.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 45.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = 5*i. Suppose -3*y - 1 = q + 2, -3 = 3*y + 2*q. Put y, -2, i in ascending order.\nAnswer: -2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*p**3*z**2 - 527*p**3*z - 9*p**2*z**3 + 4*p**2 + 2*p*z**3 - 2*p*z wrt z?\nAnswer: -96*p**3 - 54*p**2*z + 12*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 76*u + 163. Let i(z) = z**2. Give i(a(w)).\nAnswer: 5776*w**2 + 24776*w + 26569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from blbbblb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = k + 30, -5*r + 80 = -0*r - 5*k. Let w be 1 + 32\/(-28) + (-12)\/r. Is -1\/2 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04920629709 rounded to five dps?\nAnswer: -0.04921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1399140 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/13)*b**(5\/4)*b*b**(-6)\/(b\/(b*b**(-1\/2))) assuming b is positive.\nAnswer: b**(-229\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 + (11 - (-1354)\/4)\/((-144)\/(-32)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.77 - -1.23. Which is the second biggest value? (a) 3 (b) -0.05 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -65. Suppose o*h = 18*h. Let w = 8 + -4. Solve 0 = -2*y - h*y + w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*((2 + sqrt(475) + 6*-1*sqrt(475) + sqrt(475))**2 + 2) + 0.\nAnswer: -400*sqrt(19) + 38029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -271, -324, -463, -730, -1167?\n\"Answer: -7*v**3 - v**2 - v - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 369)*((-5)\/(-3))\/(-5). Let n = r - 104. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4611*q + 4584. Determine v(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -4053\/4 and -1014 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 88 - 46 = 0. Solve -7 + 25 = -d*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. What is the nearest to 0.1 in -3, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214.76094ms to minutes.\nAnswer: 0.003579349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 4*t + 3. Let j be i(-1). Suppose h - 2870 + 619 = j. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-24.1\nAnswer: -0.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 85. What is the least common multiple of b(27) and 175?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27469*h - 57500.\nAnswer: 27469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(16)\/sqrt(72))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 47. Let w(r) = -r. Determine w(h(k)).\nAnswer: 2*k - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -32. Which is the second biggest value? (a) -1 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 81770640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*c + 188, 0 = -2*l - 4 - 0. Suppose -3*t + 3*o = 3, -5*o - 13 + c = 2*t. Find the common denominator of 1 + 29\/t*-1 and -87\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 525628*z - 525624.\nAnswer: -4*(z - 131406)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841470 is divided by 908.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-3))\/(-4)*5\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + w**4 - 3*w + (-2*w**4 - 3*w + 3*w)*(-6 + 3 + 2) - 6*w**4 - 15*w**4 + 10*w**4.\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.0093, -0.1?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f + 22. Let b be s(-2). Suppose 0 = -7*v + 6 + b. Let w(u) = 5*u**2 - u - 1. What is w(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5143 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: Round 7131570 to the nearest 10000.\nAnswer: 7130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 3*i + 4*i - 5 + i + 5 + i + 0*i + i + (-1 + 1 - 2)*(2*i + 0*i - 3*i) + (2 - 5 + 2)*(-7 + 4*i + 7).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 1 - -1*1442 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 1843*v**2 - 343389*v - 15266673.\nAnswer: (v - 2017)*(v + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {y: 5, o: 4, q: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -97, -242, -465, -778, -1193?\n\"Answer: -2*k**3 - 21*k**2 - 2*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946224 a multiple of 1552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11\/3, -1.9, 245.7, 4\/23?\nAnswer: 245.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14485.\nAnswer: 5, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(d - 4*d + 2*d) - 3*d + 5*d - d + 69*d + 61*d + 16*d)*(-d**4 + 3 - 3) + 4*d**5 - 5*d**5 + 3*d**5.\nAnswer: -147*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.187 + -76.\nAnswer: -76.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m - 10944 = 41*m. Suppose 0 = 4*z + 5*b - m, 0 = -4*z + 5*b + 1063 + 153. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38025083 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*u + 267*u + 11949 = -64*u - 357*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 1890*x**3 + 89875*x**2 + 91770*x.\nAnswer: 5*x*(x - 322)*(x - 57)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 4, 32*x + 28*x + 86 = -37*x + 126*x - 27*x + 2*b for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evv when three letters picked without replacement from {f: 3, e: 1, v: 2, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*v = -5*l + 106, -v + 202 = 4*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/25 and -89\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let l(k) = -k**3 + 2*k**2 - 1. Let j be l(f). Let 10\/11*s - 4\/11 + 14\/11*s**j = 0. What is s?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 16*m + 1. Let d(x) = -37*x - 4. Let i(z) = -2*a(z) - d(z). Suppose 4 = 5*l - 26. Suppose 0 = -l*s + s - 15. Calculate i(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b + 3*y - 25, 4*b - 5*y = 20. Suppose 5*m + 105 = 6*m. Let x = -103 + m. Solve 0 = -4*z - t - 7 - x, -b*t - 1 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 865002154*v**4 - 788092493?\nAnswer: 3460008616*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*p + 1444 = 0, 2*x + 8 = 3*p + 581. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, -18373, 7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63216 + -44016. Let i be v*(128 + -3)*-1. What is i rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52336 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/15 + 14*p**3\/15 + 22*p**2\/15 + 2*p\/3 = 0. What is p?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i + 2*i)*(3*i + i - 3*i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 4*o - 4. Let j(m) = -17*m + 7*m**3 - 26 - 9*m**2 + 0*m**3 - 14*m**3 + 0 + 6*m**3. Let q be j(-7). Give i(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*o**2 + f**2*q**3 + 197*f**2 - 3*f*o**2*q**3 - 7*f*o*q**4 + 2*o*q**2 wrt q.\nAnswer: 6*f**2 - 18*f*o**2 - 168*f*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3)\/1*-1. Let h be (-2 - -1)*(-4 - n). Solve -h*r + 38 = -4*d + 8, -3*d - 7 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377103073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/2 - 207*d**3\/2 - 10813*d**2\/2 - 10197*d\/2 + 10609 = 0.\nAnswer: -103, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/8)*n*n)\/(n\/((n*n*n*n\/(n\/(n\/n**(3\/7))))\/n)) assuming n is positive.\nAnswer: n**(305\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.9956 nanometers in centimeters?\nAnswer: 0.00002729956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7903 = 4*m - 4*a, 2*m - 3*a = 15762. What are the prime factors of m?\nAnswer: 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {m: 1, a: 4, u: 6, v: 7}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 24. Let l be v(10). Suppose -l*p + 20 = -g, p + g - 12 = 3*g. Find the third derivative of b**4 - 20*b**2 + 3*b**p + 36*b**2 wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*f = 12404634 + 10595366, 0 = -q - 4*f + 4600000. Round q to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = -k. Suppose 2*z - 4*z + 76 = k. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from hhy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-760)\/16*(-4)\/25. Suppose -41*f + 231 + 138 = 0. Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -228618.\nAnswer: -228618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/489699910 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6 - (-1)\/2) + 13. Suppose -x = 39*h - 40*h. Suppose -343 - 255 = -h*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, 160\/151, -0.4, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1471260 = 120*o - 3566340. What is o rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.5 and 211251?\nAnswer: 2218135.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:41 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 5*z**2 - z - 2. Let k be w(-5). Let u = k - 6. Is (u\/(-2) + -2)*-26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - ((-15936)\/612 - -2)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -104140034 (base 5) to base 4\nAnswer: -1300000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12207, -0.08, 2\/13, 0.4, -5 in decreasing order.\nAnswer: 12207, 0.4, 2\/13, -0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o**2 + 4*o**2 + 5*o**2. Let w(n) = n. Calculate r(w(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203956*r**3 - 22102*r + 1?\nAnswer: 1223736*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 4*(-3 + sqrt(68) + (sqrt(68) - (sqrt(68)*2 + sqrt(68))) + sqrt(68) - sqrt(68)))*-4*5)**2.\nAnswer: 64000*sqrt(17) + 475200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 20*v + 273. Is v at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 118 and 237\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 712.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -13*u**3 - 2*u**2 + u + 6. Let h be f(-2). What is the highest common factor of h and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c + 568 - 640 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9 - 3 + 3*r - 8. Let f(w) = 2*w - 1. Let q(u) = 6*f(u) - 5*s(u). Is q(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 + 3*t + 18. Let l be n(-4). Find the common denominator of ((-2)\/(-32))\/(l\/36 - -1) and -117\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 43 - 39 + 48*r - 28 - 21*r - 37.\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 58*d + 1824.\nAnswer: -2*(d - 19)*(d + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(1\/(-8)). Suppose -4 - x = -4*r. Suppose 4*v - 4*m - 480 = 0, 0*m + 239 = r*v - m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5465, -10880, -16241, -21548, -26801, -32000, -37145?\nAnswer: -42236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 6 + 9*j + 2*j**2 + 2\/3*j**3. What are the prime factors of i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/((2*sqrt(36))\/sqrt(12)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891 (base 12) in base 9?\nAnswer: 4081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -53*f**6\/2 - 5*f**4\/4 + 2381*f**3\/3 + 3878. Find the third derivative of s(w) wrt w.\nAnswer: -9540*w**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let o(t) = 3*t - 1. Let w be o(l). Suppose -5*u + 32 = 3*y - w*y, 110 = 3*y + u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1778 and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 - 537*n**2 + 2*n + 537*n**2)*(-5 + 2 + 7).\nAnswer: -16*n**3 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 362, 544, 726, 908?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1850, -7430, -16740, -29786, -46574, -67110?\n\"Answer: -r**3 - 1859*r**2 + 4*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/24 + h**3\/6 + h**2 + 2*h. Let i(a) be the first derivative of o(a). Let r be i(-2). Which is bigger: r or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, k: 13}. What is prob of sequence kr?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792)*-3)\/sqrt(2))**2 + sqrt(110)\/((sqrt(490) + sqrt(490)*3 - sqrt(490)) + sqrt(10)).\nAnswer: sqrt(11)\/22 + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166\/(-54) - 18\/66*-11?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 29 + 7 = 0. Let t(f) = -f**3 - 11*f**2 - 8*f - 11. Is t(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.67253 litres to millilitres.\nAnswer: 39672.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 1. Let o = 3 + 5. Suppose -3*c - 5*l + 4 = -8, -2*c = l - o. Let r be b(c). Solve 4*z = -w - 0*w + 15, -2*z + r = -w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**4 - 35*k**3 + 5*k**2 + 35*k = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -223*u - 343. Let t(p) = -44*p. Calculate 5*t(a) - y(a).\nAnswer: 3*a + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35416371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.061 - -0.061. Let q = -27.995 - a. What is q rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 6*x**2 - 2*x - 9. Let s be b(-6). Find the third derivative of 6*g**s - 4*g**2 - 6*g**3 + 4*g**5 wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 - -1?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, 2\/17, -5, 0, -1, 0.43, 7.\nAnswer: -5, -1, 0, 1\/21, 2\/17, 0.43, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69555, 139106, 208643, 278172, 347699?\nAnswer: 417230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*g + 8. Let d(m) = -m**3 + 6*m**2 + 6. List the prime factors of d(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*b - 361 + 314 = 689 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)\/g)\/g*g**9 assuming g is positive.\nAnswer: g**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42 + -0.02. Let d = -305\/3 - -103. Which is the smallest value? (a) -1\/4 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1081651\/142110 + -2\/7895. Let z be -2*4\/(-8) - 4. What is the common denominator of ((-219)\/(-9))\/(1 + z) and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 45280 = 3*y + 45264, 3*y + 5*r - 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 2*k**2 + 11*k - 25. Is l(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-12)*(-24)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-20)*u*u**(-11))**11)**(2\/19) assuming u is positive.\nAnswer: u**(-660\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18 - -0.18. Let q be (-11)\/(-12) + 2\/6. Let w be 4\/10 - 3\/45. What is the biggest value in q, w, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {x: 3, g: 6, p: 6}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 35*y + 18. Determine z(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103)\/(-2) + (-110)\/(-825)*(-75)\/(-20).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005422897 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5360020723 minus -0.0517?\nAnswer: -5360020722.9483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4514445 (base 6) in base 4?\nAnswer: 313213331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p + 2*v + 14 = -55*p, -20 = 4*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/96*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 1. Let a = 8 + w. Suppose -s + 2*r = -3, -r = 2*s + a*s - 15. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -582*f**2 - 14*f**5 + 11*f**6 - 4591*f**2 - 2*f**3 + 881*f**2 wrt f?\nAnswer: 1320*f**3 - 840*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:06 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*m**3 + 28*m - 28*m.\nAnswer: 165*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/38671?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2133 - 20012?\nAnswer: -11213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 286195, 286197, 286201, 286207, 286215, 286225?\n\"Answer: x**2 - x + 286195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -4206.4464?\nAnswer: -4206.4464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2576 divided by 74382.\nAnswer: -8\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 628252 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -600*p + 7*p**3 + 15 - p**2 + 1 + 599*p + 3. What are the prime factors of m(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*r = -9, -3*y + 4*y - r = -13. Let w be (5\/(-10))\/(2\/36). Let c be w\/((-4)\/2 - -3). Is y bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 247.9 - 248. Which is the nearest to -59? (a) 2 (b) -0.4 (c) r (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*a + 10319, -2897 = -3*p + 4*a + 12524. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*a**2 - 98*a**2 + 183*a**2 + 18*a**3.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t - 6528 = -22698. Is 110 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (285\/15 + (-179 - -166))*2\/((-24)\/(-178)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 16 - 5) + (5 - 12 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {m: 1, d: 4, g: 2, v: 7, f: 6}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5598439 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -77.7 and -0.26621893.\nAnswer: -77.96621893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*p = 0, -7*b - 490*p = -8*b - 485*p - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9*24\/(-4). Let u = 2.3 + -2. Let r = -10.3 - -10.5. Which is the nearest to r? (a) -3 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 256728, -1, -4, 1, 5 in descending order.\nAnswer: 256728, 5, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + (-5*sqrt(605)*-1)**2 + (sqrt(605)*-1 + 1)**2)*5.\nAnswer: -110*sqrt(5) + 78685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from {g: 7, d: 5, u: 1}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*l + 1161 = -2235 + 36 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/170477605 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84579 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: Solve -27*d = -18 + 315 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxypbyaanpya. What is prob of picking 1 y and 1 a?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**7\/21 + 25*s**4\/12 - 2*s**3\/3 - 5*s**2 - 22*s + 3. What is the second derivative of b(r) wrt r?\nAnswer: 40*r**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54361 - -83534. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 21, 50, 97, 168, 269?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -211 - -215. Suppose 0*t + 100 = 4*t - 5*v, 0 = 4*t - n*v - 100. What is the greatest common factor of 15 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58752 divided by -6528\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1509980.4 and -45098.\nAnswer: 1464882.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2363, -4725, -7087?\nAnswer: -9449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*i**2 - i**3 + 122*i**2 + 5 + 123*i**2 + 123*i**2.\nAnswer: -i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*v**2 - 199*v**2 + 398*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 931, -0.7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 3*s**2 + 3. Let p be b(-3). Let j be 0\/(p\/(12\/8)). What are the prime factors of (j - 16)\/(-2) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*c + 32607 = 55082 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2*u + i**2 + 9*i*u + 117*i + 2*u + 10385 wrt i.\nAnswer: 4*i*u + 2*i + 9*u + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2. Let d(v) = -v**2 + 1. Let a(s) = 3*c(s) + 2*d(s). Let l(o) = o - 11. Give l(a(h)).\nAnswer: -5*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 697*g**8\/56 + g**4\/4 - 3*g**2 + 189*g - 3. What is the third derivative of a(r) wrt r?\nAnswer: 83640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 5, -5, -10.2, 2\/47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7542365807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -417246 greater than or equal to -417259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 31*y**5\/20 + 290*y**3\/3 - 729*y. What is the second derivative of c(q) wrt q?\nAnswer: 186*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.1, -67, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - -1*(sqrt(110) - sqrt(110)*-1)))\/(-4*sqrt(160)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3712)\/87)\/(-8))\/(-16)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -44774*v - 1119347. Determine c(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ca89 (base 14) in base 15?\nAnswer: 47444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35895 divided by -1?\nAnswer: -35895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297\/190 - -9\/38. Is p less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96147 is divided by 2898.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6846?\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 783858207*u**2 - 643650*u + 205 wrt u?\nAnswer: 1567716414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/5)*k)**38 assuming k is positive.\nAnswer: k**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v - 3. Let a be m(-3). Let t(r) = r**3 - 4*r**2 + 2*r - 2. Let z be t(4). Let j be z\/(2 + (-2)\/4). Solve 4*q - a = -j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61723044 * 1\nAnswer: -61723044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51463 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(11))**2 + sqrt(11))*-4 - (sqrt(121)*-2)\/sqrt(11) - (4 + 2 + sqrt(11) + (sqrt(110)*-2)\/sqrt(10)).\nAnswer: -182 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*4*(4 + (sqrt(99) - -3*sqrt(99)) + -3))**2 + 1.\nAnswer: 124416*sqrt(11) + 8216641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 2*i + 8*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153)*3 - sqrt(153))*-2) + 3*sqrt(153)*3)\/(4*-4*(sqrt(1089) + sqrt(1089)*1)) + 3.\nAnswer: -7*sqrt(17)\/176 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, -6, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 9*n**4\/2 - 5*n**2\/2 - 2. Let v(z) = -63*z**3 + 18*z. Let a be 35\/(-4) + 2 + -7 + 1400\/160. Calculate a*v(d) - 18*i(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + l + 215 = 4217, 2*l + 8028 = 6*y. What is the highest common factor of y and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41081 + -40971. Which is the closest to -10? (a) 0.2 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w - 106. Let c be l(-18). Determine u so that 12\/5 - 48\/5*u - 27\/5*u**c = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370157931 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 30. Let y = 22 - 42. Let z be (-18)\/y - 12\/30. Is m != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.3347 times 4\nAnswer: -45.3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*y**2 + (4*y - 4*y - y)*(-2*y + 3*y + y) + 5*y**2 - 5*y**2 - 2*y**2 + 2*y**2 + 5*y**2 + 0*y**2)*(-1 + 1 - 1).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/7)*r)**(-3\/13) assuming r is positive.\nAnswer: r**(-48\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/6 - (1 + 0). Let j be (-12)\/(-9) - g\/6. Let q be (j - (-2)\/(-6))*3. Is 2 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - 1623313719311.\nAnswer: -1623313719311.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x**(3\/2))\/(x**(-1\/5)*x**1))**(-19) assuming x is positive.\nAnswer: x**(-1083\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3025714*n**3*u - 31519*n**3 - n**2*u*w**2 + 2*w**2 - 104 wrt u?\nAnswer: -3025714*n**3 - n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (2 - (-3)\/(-2))*(2 - -106)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364825, 364824, 364823, 364822, 364821, 364820?\nAnswer: 364819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 8*m**2 + 9*m - 2. Let j be y(9). Let d be 2 - (j\/(-1) - 2). Factor -4*b + 2*b**d - 7 - 4*b**2 - 2*b + 3.\nAnswer: -2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 68. Let d = 66 - 66. What are the prime factors of v(d)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.4668 + -672.3212. Let t = m + 704. Round t to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 7 - 8. Suppose -r = -4*t - 3. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/13 + 1332*h**2\/13.\nAnswer: 2*h**2*(h + 666)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*k - 4*t, 5*k - t - t - 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = 24*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 48597662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 101*m - 100*m. Suppose 4*j + 7 = -b - 0*b, 6 = -2*j + 2*b. Let n be (4\/3)\/(j\/(-15)). Solve -3*l - 15 = 5*v - 6*l, 4*v + m*l = n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 13*p - 2*p + 0*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 3058\/30 + ((-15079)\/172965 - (-4)\/26)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.333 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133420132111 - -2?\nAnswer: 133420132113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -4779, -16139, -38261, -74733, -129143, -205079?\nAnswer: -306129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -16?\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9984485 is divided by 3328157.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.24 - 24.76. Is i less than or equal to 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 9:33 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -115.80872 and -28.\nAnswer: -143.80872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5548 = -i + 76*i for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 361096\/3 = 120366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = f + 3, -3*f = -f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 234798\nAnswer: -469596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + (-19 - -13) + 3 + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -8*f**3 + 11*f**2 - 9*f. Let y be o(-9). Suppose 53*u = 51*u + y. What are the prime factors of u?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-12) - (-1)\/2. Let u be x + -2 - (-10)\/2. Let c = u - 3. Solve 5*s + 3*j = 21, -3*j = s - c*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (19 + -43 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = l + 3, 4*l + 5*y - 5 = 2*l. Let i = l + 4. Let p = 8 + i. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c**3 - 8*c + 7. Let g = -7 - -31. Suppose 315 = 6*d - 123. Suppose 7*l + d - g = 0. Let p(m) = 8*m**3 + 7*m - 6. Give l*p(w) - 6*o(w).\nAnswer: -2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 11*r**2 - 14*r + 388. Give y(-16).\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*j + 7*f - 515, -779*j - 3*f = -782*j - 51 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m**2 - 4*m + 35 - 17 - 18 to the form p*m**2 + r + d*m and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 46 = 1. Suppose -h = w + 5*j, 5*w = -2*j + 45 + 2. What is the remainder when 74 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.04 and -6.\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-2)*4\/12. Let q(f) = 3*f - 4. Let a be q(s). Factor 2*i**3 + 7*i**a + 0*i**3 - 9*i**5.\nAnswer: -2*i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y + 28 = 0. Factor f + 4*f - 8 + y*f**2 + 6.\nAnswer: (f + 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/228 and 1\/519.\nAnswer: 39444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4517 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227401980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -455?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -2890432?\nAnswer: -1\/361304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -25*i + 30. Is 29 a factor of p(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24212215 (base 6) to base 9.\nAnswer: 1383732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56286763151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 112, 184, 260, 340?\n\"Answer: 2*a**2 + 62*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -183485, -35\/8?\nAnswer: -183485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v + 134*v - 74*v + 141*v to the form l + k*v and give k.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + -1 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*n = n + 44, -2*y + 80 = -4*n. Suppose -3*w + 8 = -4*w. Let o = w + y. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12\/(-2))\/(2 + 7\/(-3)) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 2, c: 3, v: 4}. Give prob of picking 1 x and 1 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cloo when four letters picked without replacement from soclwwlollfw?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161 or 7837?\nAnswer: 7837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 3*a. Calculate the remainder when m(-2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -9, -0.3, -1\/2, -131\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 3, -440, 0 in descending order.\nAnswer: 61, 3, 0, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 2166?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65809144 to the power of 1\/2, to the nearest integer?\nAnswer: 8112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31.5 * -0.3\nAnswer: 9.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from fpkwfdg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c - 100 = 32*c + 33*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p + 233. Let f be u(-15). Sort 4, -2, 5, -52, f in decreasing order.\nAnswer: f, 5, 4, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 56140496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/5 or -333?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 - 93*o - 450.\nAnswer: -3*(o + 5)*(o + 150)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1471735 (base 11) to base 14.\nAnswer: 498776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 39 in descending order.\nAnswer: 39, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1017*w**2 + 3818*w**2 + 7498*w**2 - 40*w**2.\nAnswer: 10259*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9))**(-47))**42\/((p**(1\/2)*(p**(2\/13)*p*p)\/p)\/(p**1)**(3\/14)) assuming p is positive.\nAnswer: p**(119363\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**3\/2 + 47*y**2\/2 + 79*y. Let s be p(-13). Solve 2*v + s = 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 1, q: 3, e: 1, u: 3, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267001995?\nAnswer: 3, 5, 13, 439, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:58 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 - 7554680*q**2\/3 - 30218792*q - 90656448.\nAnswer: 2*(q - 3777352)*(q + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395 - 395 + 224*z**2.\nAnswer: 224*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(-2 + sqrt(1300)))**2.\nAnswer: -700*sqrt(13) + 32549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + 9*d)*(-1 + 2 + 1)*(-6 + 4 + 4)*(-2 + 2 - 4)*(4 + 1 - 3).\nAnswer: -224*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by -636377.\nAnswer: -124\/636377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 8. Let m = 1560.2 + -1556.2. What is the nearest to k in -0.4, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - (-106)\/1) + 17\/17 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -956, -6995, -23442, -55505, -108392, -187311, -297470?\nAnswer: -444077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 4) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13960 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 529368633 or 529368634?\nAnswer: 529368634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j + 1. Let d be w(5). Let r be d\/4*2\/(-3). Is (-80)\/(-6) - 3\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3384)\/21996*(-78)\/(-16). Let w = 2.93 - -0.07. Let t = w - 5. What is the fourth smallest value in t, y, -0.4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.718474 millennia?\nAnswer: 971.8474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-186)\/(-93))\/(-8))\/(2\/(-1312)*4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z - 4. Let r(n) = 95*n. What is r(g(a))?\nAnswer: -380*a - 380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uxxuuxuuxxxuduu?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*8*(-6)\/6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 24*n + 4. Let a(f) = -3*f**2 + 50*f - 9. Give -4*a(y) - 9*p(y).\nAnswer: -6*y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -12*u**2 - 9*u**2 - 138*u + 151*u - 13. Let v(y) = -10*y**2 + 6*y - 6. What is -6*c(r) + 13*v(r)?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/665)\/((-2)\/42)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -u - 0*u + 232, 5*u + 4*v - 1102 = 0. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 4*y + 16. Let m = -9 - y. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+254308276305028\nAnswer: 254308276305027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 242611823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 14. Let v be u(6). Let q be -2*(-9)\/(-18)*(v + -1). Does 12 divide ((-3)\/(-2))\/(q\/282) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 849345, 849347, 849349, 849351, 849353, 849355?\n\"Answer: 2*a + 849343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 2*w**4 - 4*w**4 + (0*w - 4*w**2 - w - 45*w**2)*(3*w - 2*w**2 - 3*w) + 13 - 13 - w**4.\nAnswer: 94*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2 - 7126*w - 56944 = 0. What is w?\nAnswer: -7118, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4573*s**2 - 157*s - 155. Let v be l(-1). Calculate the greatest common factor of 75 and v.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*l**2*v**4 + 3*l**2*v**2 + 89*l**2 - 275*l*v**5 + 344*l*v**2 - l wrt v.\nAnswer: -2760*l**2*v - 16500*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30 (b) 5 (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(156))\/sqrt(3) - (sqrt(13)*-2*-6)**2.\nAnswer: -1872 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139 and 11540197.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3471*d - 373. Is a(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 92\/9. Which is the nearest to 2\/5? (a) -5 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-5 + 2) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**2 + 164 - 164 - 5*a**2 + 10*a**2. Let c(y) = 4*y + 4*y - 3*y. Determine c(u(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.31, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z + 30 = 5*q, 0 = 2*z + 3*q - 15. Let l be -5 + 4 + 1*108. Suppose -287 = -z*v - l. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -772*h - 52478. What is s(-68)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - (-740)\/30. Solve 0 = 4*u + u - a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 2*b - 4. Let v be q(-4). Let p(n) = -v + n - 3*n - n. Let c be (-17 - (-504)\/28)\/(-2 + (-18)\/(-10)). What is p(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432658523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 z, and 1 t when four letters picked without replacement from aazaxxtlqll.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5692059983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -8 (c) 2\/3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*y, 3*a + 3*y + y + 50 = 0. What is the remainder when 28 is divided by (-25)\/2*12\/a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -455*g**3 + g**2 - 5*g - 5. Let o = 122 - 123. What are the prime factors of w(o)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1432.465 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/10 - 52783*a\/5 - 1246375\/2 = 0. Calculate a.\nAnswer: -59, 105625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-6)\/912*2)\/(1*-1).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 5 (c) -223 (d) 2 (e) -0.08 (f) 3.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = -3*v - 34, 3*v - 17 = -o. Suppose -o*z + 4916 = 1329. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320201102 - -2233?\nAnswer: 320210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9072)*-3*5)\/((sqrt(1296)*-1 - sqrt(1296))*-4)*-3)**2.\nAnswer: 14175\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 157, 13, 3, 33, 10, -3.\nAnswer: -3, -1, 3, 10, 13, 33, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 721*l**2 - 33*l - 36. Let t be p(20). Let j(y) = 57522*y + 6. Let a be j(9). Let d = a - t. Round d to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 + 3*c. Let p be -9*((-2)\/2 - -2). Let o(a) = 10*a**2 - 6*a**2 + 9*a**2 + 7*a. Let d(h) = p*n(h) + 4*o(h). What is d(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 9639459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 30*t**2 - 97*t - 62. Give i(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -84, -173, -272, -387, -524, -689, -888?\n\"Answer: -y**3 + y**2 - 85*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(4451179\/(-3) + -2). Let o be z\/(-450) + 2\/9. Let b = o + 9882. What is the common denominator of b and 87\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 105, 216, 397, 672?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 2. Let j(l) = 4*l - 28. What is j(p) + 6*r(p)?\nAnswer: -2*p - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-26)\/6. Let f = -4 - j. Let p(t) = -t - 3. Is 2 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345086620 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 6. Give l(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36655090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -466, -745, -1046, -1375, -1738, -2141, -2590?\nAnswer: -3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2544533 + 41*w**3 - 9*w**3 - 1272267 - 1272266.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 300377381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 4*z - 2*z)*(3 - 1 - 5).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -95.931.\nAnswer: -191.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 24*g**3 - 6*g**2. Let l(w) = -23*w**3 + 5*w**2. What is 6*l(v) + 5*q(v)?\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006922 rounded to six dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -2*c - 3*c. What is the greatest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5479 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -255*y**2\/2 + 309. Let h(f) = 12*f. What is h(z(r))?\nAnswer: -3060*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - -6 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((374\/(-2431))\/(12\/26))\/(2\/(-60))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 294042 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 67991*y**2 + 271961*y\/2 + 67990.\nAnswer: (y + 1)**2*(y + 135980)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 111, 214, 315, 414?\n\"Answer: -z**2 + 106*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and (1\/1)\/(3 - (-1820)\/(-608)).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34a2 + -2?\nAnswer: -34a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/9 - 2*r**4\/3 + 2*r**3\/3 + 22*r**2\/9 + 4*r\/3 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 94 = 0. Let p = -907737 + 907748. Calculate the remainder when f is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -2 + 1\/2*i**3 - 64*i + 0*i**2. Let a(t) be the third derivative of -t**4\/24 + t**2. Determine a(p(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = 2*u, 4*s - 5*s = -3*u + 9. Solve s = k - 6*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90421.\nAnswer: 19, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 - 35*a + 14. Let c(w) = 3*w**2 - 30*w + 12. Let h(q) = 5*c(q) - 4*d(q). Give h(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v. Let y be (5\/(-2))\/(2\/(-4)). Is k(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f - 37. Let q be n(3). Let v(i) = -5*i**2 - i + 1. Let w(x) = -4*x**2 - 2*x. Let s(m) = 3*v(m) - 4*w(m). What is s(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 20*l**3 + 4899*l**2 - 257*l - 2845. Give d(-245).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135*o*u**2 + 39*o*u - o - 20837*u**2 + 3 wrt o?\nAnswer: 135*u**2 + 39*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3879 and 76.\nAnswer: 29.4804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 + 94. Which is smaller: -0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11870719831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 32*r + 1. Let z(i) = 11*i. What is z(d(c))?\nAnswer: 22*c**2 + 352*c + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/48 and -31\/3080.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, 142, 2 in ascending order.\nAnswer: -31, 2, 4, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4083\/172 - (1 - 3). Let a = -21\/43 + b. Suppose 0*t + 4*t - 196 = 3*u, 0 = 2*u. What is the common denominator of t and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*h - 36, 3*h = -0*c - 2*c + 2. Let p = -5400 + 5395. Is c less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 38*j**3 + 271*j - 18*j.\nAnswer: -38*j**3 + 246*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367039 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -140919.9106 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 9*f**2 + 9*f - 7. Let d be b(-8). Let y = 26 + d. Solve 0 = 6*p - y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*(0*i**2 - 3*i**2 + 4*i**2) - i**2 + 2*i**2 + 0*i**2 + 3*i**2 + 2*i**2 + 2*i**2 as h*i + r + d*i**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from yyggyggyggggyggygg.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6072997.5s in hours?\nAnswer: 1686.94375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*d**2 - 10559 + 351527*d + 10559 - 351527*d.\nAnswer: -213*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -56, -73, -92, -113, -136, -161?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131717 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m + 15*m + 3640 - 4585 = 0 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 + 3*u + 3. Let d be b(3). Let f be 360\/(-20) - (-6)\/2. Let k be 14\/(-3)*f\/10. Solve s + 5*z + 16 = d, -z = 5*s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -708 - -4c8c?\nAnswer: 4584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/11 - 51330*s\/11 + 1742908\/11.\nAnswer: 2*(s - 25631)*(s - 34)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - -3 - (-323 - -332).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.23259 * 85\nAnswer: -19.77015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 44*r - 11625 = -151*r - 304*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25304715*o*u**2 - 4*o*u - 15787*o + 11*u wrt u?\nAnswer: -50609430*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let j(h) be the first derivative of -2*h**2 + 16. What is j(n(p))?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -a + 4*a + 62, 3*a + 5*b + 65 = 0. Let u = a + 37\/2. Let l = 116.93 + -117. What is the closest to 1 in u, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -27*p**4\/2 - 49*p + 29. Differentiate v(r) wrt r.\nAnswer: -162*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101224591*t**4 + 78348205*t.\nAnswer: -1214695092*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/(2 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*z**4 - z**2 + 3*z**3 - 9*z + 2 + 22*z - 15*z in the form w*z**2 + t + u*z + s*z**3 + j*z**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -535 - -543. Solve i + b = 5*i - 2*h, -4*h = -4*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (501\/(-52605))\/(8\/(-35))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -25*v - 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1841 - -2008. Which is the smallest value? (a) -0.3 (b) -5 (c) -3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 17*r - 7. Let q be t(6). Let m(u) = u**2 - 24*u + 41. Is m(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*h - 5979 - 1311 = 25*h - 36*h for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0. Let w = -0.2 - -0.6. Let r be (-16)\/40*(-3)\/6. What is the closest to r in w, j, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/3957097?\nAnswer: 3\/3957097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*c**2 + 51*c**5 + 0*c - 2*c - 3*c**2 + 7*c**2 wrt c?\nAnswer: 3060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35562 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-11))\/(14\/((-238)\/(-51))).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8541864169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 1:53 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.93997 millilitres in litres?\nAnswer: 0.04793997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 22.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**25*j*j*j\/(j*(j*(j*j\/j**19)\/j*j)\/j*j*j) assuming j is positive.\nAnswer: j**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41393, -82778, -124157, -165530, -206897, -248258?\nAnswer: -289613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - l + 4 = l, -2*f + 3*l = -10. Suppose 0*w - w = -f. Suppose w*z + 3 = 101. 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(m) = 6*m**3 - 1045*m**2 - 64507*m + 65531. Let i(g) = 14*g**3 - 2610*g**2 - 161268*g + 163828. Let v(z) = -5*i(z) + 12*s(z). Solve v(h) = 0.\nAnswer: -128, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**4\/24 + 7*t**3\/2 - 4*t**2. What are the prime factors of g(-11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-73)\/(-70))\/(72\/252). Which is greater: 39 or w?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8876.906 - 8877. What is the second biggest value in a, 3, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:25 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*j**3 - 27*j + 27*j + 2*j**2 - 2*j**2 - j**3 + (3*j**2 - 2*j**2 - 2*j**2)*(j + 0 + 0) - j**2 + j**2 + 3*j**3.\nAnswer: 27*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 435. Let u = m + -140. Let b = u + -78.986. What is b rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 * 14.5\nAnswer: -3.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/996*(-413)\/(-35) - 358\/(-4296)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 34*h**2 + 233*h - 33. Is 59 a factor of r(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.007829mg?\nAnswer: 8007829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 2\/3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 1 - -4393)\/(2 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -14. Let p = 163\/5 + -33. What is the closest to p in -2, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*a**3*f**3*x**3 - 3*a**3*f**3*x + 2*a**3*f**2*x**2 + 51*a**2*f**3*x**2 + 6*a**2*x**3 wrt x?\nAnswer: -324*a**3*f**3 + 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55066 rounded to the nearest one hundred?\nAnswer: -55100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = -m. Suppose -t - 3 = -3*q + 2, -3*q = m*t + 1. Suppose -k - 2*k - q = -2*d, 0 = 5*k - 5*d + 5. Solve v - k = -3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from wpwwybwwpysdwbyssd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6790, -2, -8, 2 in descending order.\nAnswer: 2, -2, -8, -6790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-3)*h)*h**(-6)\/h)**(-1\/16) assuming h is positive.\nAnswer: h**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) 4 (c) 57 (d) -1 (e) -2 (f) 53\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-10 - -19) + 14 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 30. Which is smaller: n or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 15 = h. Solve 2*f + 3*s = 5, 4*f - h*s + 3*s + 30 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14176 is divided by 834?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1+2.6\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j**2 - 12*j - 3. Determine s(4).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*o**2 - 3 - 2*o**3 + (-3*o**3 + 6*o**3 - o**3)*(5 - 8 + 10) - 451*o**3 - 17754*o**2 + 17754*o**2.\nAnswer: -439*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**6\/10 - 110*x**3\/3 + 7091*x**2\/2 + 2222*x. What is the first derivative of s(y) wrt y?\nAnswer: -12*y**3 - 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/230 + 0 + (-28)\/(-10). Suppose -2*x = 3*j - 2*j - 299, 456 = z*x + 3*j. What is the greatest common factor of x and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6138 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -58*p**2. Let l(m) be the second derivative of 0 - 5\/12*m**4 - 165*m + 0*m**3 + 0*m**2. Give l(u(q)).\nAnswer: -16820*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161951.600108 - 161947. Let f = b - 4.6. Round f to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23959697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5 - 15. Suppose -26 + 6 = g*m. Let o(p) = -3*p. Is 6 a factor of o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04430620374 rounded to 6 dps?\nAnswer: 0.044306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 7. Let q be m(-12). Suppose 151032 = 9*t + q*t. Is (-2)\/((0 - -4)*(-6)\/t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((650\/(-260))\/((-10)\/(-18)))\/((75\/(-6))\/5)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k - 77*k - 15761013 = -79*k. Is k 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 4:23 PM and 9:02 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 51 + 33 + 19. Let q(l) = -10*l**2 - l**2 - l**2 + 4 - 4*l**2 + 13*l**2. Calculate q(t) - 6*w(t).\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from joyoooooo.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -77082 less than or equal to -77081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 24*n - 6 + 15*n + 1 - 38*n. Give m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19974 is divided by 9986.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10963612.\nAnswer: 2, 11, 67, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**4\/6 - 2*j**3\/15 - 3*j**2\/5 - 13*j. Factor s(g).\nAnswer: 2*(g - 1)*(5*g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002386643 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - -70. Let y = -153 + v. Let m = y + 52. Which is the closest to 1? (a) m (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.8. Let f = -0.2 + n. Let v = -1.7 + -1.3. Sort f, 1\/2, v in ascending order.\nAnswer: v, f, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*441.6\nAnswer: -176.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200200 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10893, 0 in decreasing order.\nAnswer: 5, 0, -10893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p + 93. Let z be u(-7). Let b be z\/(-51) - (-20)\/510*3. What is the nearest to -1\/3 in b, 0.5, -170?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 1:17 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -92 - (30 + 37).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1 (c) 4.94354\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 21*l**3 - 129*l**2 + 207*l - 27 = 0.\nAnswer: 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 547001068 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -2\/5, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + 4*sqrt(152)*-1)\/(sqrt(8) - (sqrt(32)\/(sqrt(8)\/sqrt(2)) - sqrt(8))) + 4 + ((sqrt(19) - sqrt(38)\/sqrt(2)) + 2)*1 + 4)**2.\nAnswer: -60*sqrt(19) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 101, -134, -1047, -2974, -6251, -11214, -18199, -27542?\n\"Answer: -56*l**3 - 3*l**2 + 166*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2577961990911.00103 - -2577923239419. Let m = x - -38751313. Let v = 179 + m. Round v to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnbnnnbbbbbbbbbbb. What is prob of picking 3 b?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15243584 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - i**2 + i**2)*(6*i - 10*i - 15*i) + (i**2 - i + i)*(2 - 2 + i**2).\nAnswer: 39*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5434.26 to the nearest one hundred.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**3\/3 - f**2\/2 - 9*f. Suppose -3*r + 2*a = 2*r - 25, -28 = -r + 5*a. Give s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 3 + sqrt(272) - (-4 + (sqrt(272) - sqrt(272)*3)**2)) + 2.\nAnswer: -4326 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 8. Let n = y + 4. Calculate the smallest common multiple of n and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(935\/(-20))*((-6042)\/(-152) - 40).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/260 + 19*o**5\/390 + 11*o**4\/52 + 3*o**3\/13 + 3*o**2 + o. Factor l(s).\nAnswer: 2*(s + 3)**2*(3*s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + (3 - 15) + 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/12)\/(1\/(-18)). Let o(w) = -w**2 + 9*w - 16. Let n be o(a). Solve 8 = -y - 4*j, -2*j - n*j = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12\/11)\/(v\/v**(2\/43)*v*v) assuming v is positive.\nAnswer: v**(-1913\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 3. Let d = 1 - 3. Let v(g) = 7*g - 14. Let x(c) = -8*c + 13. Let a(z) = d*x(z) - 3*v(z). What is 4*a(i) + 22*o(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.6. Let w = f - -0.4. Let r = w + 0.0000013. Round r to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + 0 + sqrt(325).\nAnswer: -10 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-2 + 6) - -4. Suppose -2*k + j*s = k + 10, 2*k + 5*s - 24 = 0. Suppose -3*a + k*f = -63 - 17, -5*f - 140 = -5*a. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 12. Let y be p(-4). Is y\/28 - 1396\/(-14) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2856.6 times 252\nAnswer: -719863.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 58*h - 10. List the prime factors of m(-17).\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-30))\/((-4)\/280). Suppose 0*i + i - p = 0. Differentiate 5*n - 5*n + 10 + i*n**2 - 45 with respect to n.\nAnswer: 56*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -8*q**5\/7 + 508*q**4\/7 - 3516*q**3\/7 + 8900*q**2\/7 - 9244*q\/7 + 480 = 0.\nAnswer: 1, 5\/2, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65d + -a6a20?\nAnswer: -a727d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1241770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 49\/6505?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 3:19 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1139, 0, -3, 4 in decreasing order.\nAnswer: 1139, 4, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91512.99993 - 91504. Let p = 9 - t. What is p rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 325.6.\nAnswer: 325.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l - 4. Let i be a(10). What is the highest common divisor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -33, 27, 195, 507, 999, 1707?\n\"Answer: 6*f**3 - 54*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-15704)\/755)\/((-12)\/15)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164563590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3674989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5325203 (base 7) to base 11.\nAnswer: -4008a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - -6*sqrt(200)*1) + -2 + 3.\nAnswer: 1 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-16)*1795148 - 18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 0*b + 2\/3*b**3 - 5 + 0*b**2. Let x(m) = -3*m. What is d(x(s))?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 78 - (-43 - 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 462 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -92.874. Let q = v + 0.026. Let g = -5.8 - -0.8. What is the nearest to q in g, 0.8, 1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 u, and 1 o when four letters picked without replacement from ucuoucuccccocc.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0*p**2 + 0*p**2 + 2 + 5*p + p**2. Calculate a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 214*k**2 + k + 6. Let t(h) = 143*h**2 + h + 4. Calculate 5*r(v) - 7*t(v).\nAnswer: 69*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 2 + 1 - 1)*(-i + i + 7*i**2).\nAnswer: -14*i**5 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(3\/2))\/r**6*(r**(1\/4))**0*(r*r\/((r\/(r*r**(1\/3)))\/r))**(14\/5)\/(r**(-8)\/(r\/(r*r**(2\/7)\/r))) assuming r is positive.\nAnswer: r**(611\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.10917 + -1.11. What is x rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -3 - -12 - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(24)\/(sqrt(16)\/sqrt(2)) + sqrt(75) + -1 + sqrt(3) - (-4 + sqrt(147) + 0 - (sqrt(147) + (sqrt(147) + -1)*1)))*1)**2.\nAnswer: 896*sqrt(3) + 9472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -20*m + 42*m - 19*m - 10*b - 99, 0 = -m - 2*b + 18 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 36.10908 micrograms?\nAnswer: 0.00003610908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((n**10*n)\/n*n*n)\/n)\/n*n**(-12))**(4\/5))**(3\/29))**(-35\/4) assuming n is positive.\nAnswer: n**(42\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b64 - 262?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(187) - sqrt(187))\/(sqrt(55)\/(sqrt(15)\/sqrt(3))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*k = 20, 16 = -4*k + 8*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 3 = 2*h. Suppose -n + 7 = q - 4, 2*n - 3*q - h = 0. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5091637 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -28*i**3 + 4*i**2 + 8*i - 3. Let u be k(-3). Suppose -15*z + 60 = -u. What is the remainder when 161 is divided by z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 43139257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:41 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*q + 97562, 54492 - 5723 = o + 5*q. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, -4, 2, -18, -3, 4, 0 in increasing order.\nAnswer: -267, -18, -4, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7812 and 744?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -710498 + 244407805\/344. Let h = -49\/86 - x. What is the common denominator of h and ((-26)\/27)\/(-1)*3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**3 + v**3 + 0*v**3 - v**2)*(702 - 22461 + 6923) in the form t*v**2 + y*v**3 + a*v + o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 13\/2*t**3 + 0*t**4 - 15*t + 0 - t**2 - 31\/60*t**5. Differentiate b(d) with respect to d.\nAnswer: -62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 3, z: 8, w: 2, g: 1, p: 5}. What is prob of picking 2 w?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139455 = 4*j - 3*w + 139423, 4*j - 32 = 4*w for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znn when three letters picked without replacement from {n: 2, z: 1, r: 1, c: 4, v: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9272\/(-1586) - (-3 + -3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 87081, 179504, 271927, 364350, 456773, 549196?\n\"Answer: 92423*m - 5342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-156) + 0)\/(((-49)\/1078)\/(32\/(-264))).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*(s\/(s*s\/s**(1\/2))*s)\/s*s))**(3\/26)\/(s**2)**(-44)*(s**(-10)\/s**(4\/11))**(-1\/2) assuming s is positive.\nAnswer: s**(53201\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77159.91 millimeters in micrometers?\nAnswer: 77159910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w + 161. Let c be d(18). Sort -4, 24, 3, c in descending order.\nAnswer: 24, 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/16)\/(d\/(d*((d*d\/d**(-24)*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(399\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*v**3*w + 2*l*v**3 - 46*l*v*w*z**3 - 2*l*v*w - 8*l*v + 5*l*z**3 wrt w.\nAnswer: 2*l*v**3 - 46*l*v*z**3 - 2*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110042 + -110041.9999954951. What is f rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -548.68349 - -554.34. Let w = -5.66 + c. Round w to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -20*n + 47*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/44 and 1\/7?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -995*c**2*y**5 - 18*c**2*y + 6*c**2 wrt y.\nAnswer: -19900*c**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:49 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiccikccc. What is prob of sequence kcc?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 10:44 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(1454 + 852 - 28*w - 4066 + 19*w + 1043) in the form z*w + g and give g.\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*v - 48 = 0, 4*t + 0*v + 48 = -2*v. Let s be (-432)\/(-7) - t\/42. Let r = -26 + s. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 5*v**2 - 4 + 5 + 0. Suppose -l - 4 = -2*l. Suppose -8 = -l*i - 4*i. What is s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2\/7 + 124*s\/7 = 0.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k. Let q(c) = 5*c**2. What is q(i(a))?\nAnswer: 405*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 + 114. Suppose -6454 = -2*h - 2*h + 3*z, -3220 = -2*h - 2*z. Suppose -5*m + h - 587 = g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26933.4 or -2\/245?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 9*h + 12. Let d be s(-10). Suppose -82 = -3*v - 4*p, v + d*p = p + 27. Let j = -14 + 21. What is the remainder when v is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 74*x - 71*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v - 93*v = 5*m - 35, 28 = 4*m - v. Solve -g - 8*s = -m*s + 6, 2*g = 5*s - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 - 73. Let x = -113.99588 + s. Round x to 4 dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrr when three letters picked without replacement from ramaxr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 - 5*k + 5*k + (0*k - 5*k + 4*k)*(-2*k + k + 0*k) - 9*k**2 - 8*k**2 + 3*k**2)*(5*k - k - 2*k) in the form c*k**3 + a*k**2 + t*k + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:55 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:34 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3342876?\nAnswer: 2, 3, 37, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.32 and 410.\nAnswer: 541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -112*t**2 + t**4 + 25*t**3 - 3656*t - 3821*t + 7593*t = 0.\nAnswer: -29, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 + 3*p**2 + 7*p + 17. Let k(x) = -4*x**3 - 2*x**2 - 7*x - 18. Let y(a) = 5*f(a) + 4*k(a). Does 3 divide y(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1038 divided by 147877.\nAnswer: 1038\/147877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**3 + 193*h**2 - 43*h + 3562. What is n(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2061)\/1026 + 5 - (3 - 0))*-113 and -85\/48?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.031 - 0.052. Let j = n - 4.859. Let v = j - 0.12. Which is the smallest value? (a) -1 (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 32 = -7*a. What is the highest common divisor of 56 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**6*w - 10*p**4*w**2 - 82*p**2 - 2*p*w**2 wrt p.\nAnswer: 360*p**3*w - 240*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:10 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 70450 and 0.017.\nAnswer: 70450.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 3. Let z be v(10). Let u be (-6)\/21 - (-30)\/z. Solve u = -h - h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -571037175, -1, -5.\nAnswer: -571037175, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 3*m + 24. Give p(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 8. Let i be s(-6). Suppose -i*l - l + 585 = 0. Suppose -c = -6*c + l. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1833997\/1353015 + -2\/30067. Find the common denominator of -16\/147 and i.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 67 = 437. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*4\/(-2). Let a be (-1)\/(-5)*(6 + -1). Suppose -4*j - a = -13. Solve -4 = -j*r - k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/2)\/(-4) - 3. Let s(z) = -7*z**4 + 9*z**3 - 4*z + 2. Let c(g) = -11*g**4 + 14*g**3 - 6*g + 3. Let j(b) = y*s(b) + 5*c(b). Let j(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 15*z + 8. Suppose w - 2 + 0 = 3*m, -w = -4*m - 2. Let a(t) = 8*t**z + t**2 - 11*t**w. Let s(r) = -22*r. What is s(a(i))?\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 62*s + 1554. What is w(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 3*a**2 + 4*a - 3. Let j be d(3). Let q be (8\/24)\/(1\/j). Suppose 0*c = -3*i - 2*c + 17, 0 = -5*i + 4*c + q. Put -4, -2, i in ascending order.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 39*l - 44*l - 65, 0 = 2*c - 2*l - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216\/37 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*f + 3*f. What is the derivative of 2*w**4 + 11 - 5*w**f - 2*w**4 + 0*w**4 wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 1. Suppose 2*w + 5*z = 28, -w - 2*w + 4*z - 4 = 0. Suppose -w = -6*o + 2*o. Let j be t(o). Solve -j*i + 23 = -3*n, n = -2*n - 2*i + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c - 4?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -173*s + 1. Let t be ((-30)\/9)\/((-1)\/(-3)). Let y = 8 + t. Is g(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wooowwwowwwoww. Give prob of sequence ooo.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0371 equal to 583168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1362059 and 152.6.\nAnswer: -1361906.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791048 = -15*s - 179033. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7*g)\/g**(-2\/5))**(-19) assuming g is positive.\nAnswer: g**(-798\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 125, -68, -439, -1042?\nAnswer: -1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 579 + -1157. Let d = 852 + a. Suppose 2*z = d - 62. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418*q + 33 = -1415*q, -8 = -3*b - q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*x = -3*b + 713*x - 14, 4*b - 4*x + 16 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 647 - 977. Let i = 495 + z. What are the prime factors of i?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8640)*1)\/(sqrt(300)*-5))**2.\nAnswer: 144\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3281 and 4246?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*q + 108. Factor 41 + 3*y - q - y**2.\nAnswer: -y*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 132*o + 13642. Give g(-75).\nAnswer: -1883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + s - 171683, 312*v - 307*v - 4*s = 214567. What is the greatest common divisor of v and 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = -134. Suppose 4*t + j = -3*v, 5*t + 0*v = -4*v - 84. Let n = t - -29. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 6*145*1\/10?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.6522 decades in years?\nAnswer: 296.522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -772 - 116?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obbp when four letters picked without replacement from orbbbpob.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1614 = 4*q, q - 4*b + 782 = 3*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 31. Suppose -3*t = -3*s + 39, 5 = -t - 2*s - s. Let r be j(t). Let w(n) = 5 + 16*n + r*n - 29*n. Let g(k) = -15*k - 11. Give 6*g(b) + 13*w(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4276 - -11\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:09 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s. Let d be u(-1). Suppose -471 = -5*w - d*r - 1898, -1143 = 4*w + r. Let y = 405 + w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9429, -9086, -8513, -7710?\n\"Answer: 115*x**2 - 2*x - 9542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0.2. Let u be ((-10)\/(-50))\/((-2)\/10*-7). Put u, -5, a in descending order.\nAnswer: a, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 5*a - 4. Let o be l(-6). Let q = 4 - o. Let i = -4\/3655 - -43912\/47515. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -20 + 97 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 - 2*g**2 + g. Suppose 4 = -3*c - 2. Let f be (-1 + 4\/c)*-1. Suppose f = 5*h - 2. Calculate v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/7)*y*(y*y*y\/y**(4\/3))\/y*y*y*y**4\/y**(2\/13)*(y**(-1)\/y)**(-1\/5)*y**(-2)*y\/(y**3\/y)*y*y assuming y is positive.\nAnswer: y**(10411\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*g, 3*t - 8231 = -5*g + 2468. Does 33 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44167)\/12 - 4\/6. Let o = 2083 - 5784. Let r = q - o. Find the common denominator of r and -67\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, a: 3, v: 1, x: 2, z: 1, t: 1}. What is prob of sequence zyyx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 40\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1911*t - 450 wrt t.\nAnswer: -1911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/((-16)\/(-44)) - 0) + -8. Solve -21 + z = -6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 5\/6*l**3 - 9*l - 5*l**2 + 0. What is the derivative of h(t) wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -1\/4*y**4 + 0*y**3 - 24*y + 0 + 6*y**2. Let p(n) be the first derivative of o(n). Let c(v) = v. Give p(c(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/8 + 15\/(-9))*3\/(-1). Sort n, -3, -0.04, 0.3, 2 in descending order.\nAnswer: 2, n, 0.3, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83435 (base 10) in base 12?\nAnswer: -4034b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131.7 - 131.1. Which is the closest to 0? (a) -27 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39889 and 14803?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:37 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h**3 - 49251948*h**2 + 36938952*h = 0. What is h?\nAnswer: 0, 3\/4, 3078246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -q - x - x, 24 = 2*q + 2*x. Let g(f) be the first derivative of -f**4\/4 + 10*f**3\/3 + 15*f**2\/2 - 7*f - 56. What is the units digit of g(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4253110 (base 6) in base 7?\nAnswer: -1531224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.4 + 16. Let x = w - -1.4. Let l = 23 + -20. Which is the fourth biggest value? (a) x (b) 4 (c) -1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*p + 150*p + 45. What is the first derivative of -75 - 129 - 5*w**2 + 33 + 30 + p*w wrt w?\nAnswer: -10*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -5*x**6\/6 + 21*x**5 - 245*x**4\/2 - 710*x**3\/3 + 495*x**2\/2 + 605*x - 1079. Find a such that n(a) = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38000000 = -j + 6*j. Round j to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524.548 centuries in years?\nAnswer: 152454.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = f + 290, -p + 4*p = -4*f - 875. Let v be 84\/30 - 2\/(-10). Let j be (p\/(-2))\/v*4. What is the highest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - m + 18 + 7 = 0, -2*m = -v - 6. Suppose -5*x + 121 = -0*d - v*d, -2*d = 8. What is the remainder when 27 is divided by (-2)\/(((-3)\/x)\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2498, 2505, 2530, 2585, 2682, 2833?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119) - (sqrt(119)*-1 - sqrt(119))))\/(sqrt(175)*-2).\nAnswer: -9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Calculate the least common multiple of f and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224 + -224.2. What is the nearest to 8 in -2\/5, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*u**2 + 39*u**2 - 1398*u + 2 + 42*u**2 - 119*u**2 in the form t*u**2 + c*u + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 - 10*d + 21. Calculate h(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -32*h + 29*h. Suppose -4*l + 4*q = -3004, -16*q + 12*q = h*l - 3044. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t*v**3 + 3*t*v**2 + 3*t*v + 5*t - 3*v**2 + 3*v wrt v?\nAnswer: -18*t*v + 6*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10492 and 130512611.\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 346.96?\nAnswer: -344.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -2 + 0*r**2 + 2\/3*r**3 - 2*r. Determine o, given that b(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.3. Let j = 7.2 - l. Is j less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*l - 2*h - 28, 4*l - 36 = -2*h. Let o(m) = -m**3 - 3*m**2 + 16*m - 12. Let a be o(-6). Suppose 5*i + 0*i - 100 = 0. Solve a = 4*t - l*t - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(6 - 2 - 2) - 1 + 2 - 3)*(32*k + 35*k - 53*k).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d - 0, 2*p = -3*d + 93. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1\/(-2) - -2. Suppose z = -5*t - 0 + 10. Suppose y + t = -y. Which is the nearest to 0? (a) 0.5 (b) 2\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171745447?\nAnswer: 79, 2173993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/91*((-4)\/36)\/(14\/(-6))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 - 30*w - 95 + 200.\nAnswer: -30*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 32. Let q = 23 + -20. Suppose -4*u = -q*u. Does 16 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-4)\/(-2) - -3. Let l(n) = n**2 - 3*n - 7. Let g be l(q). Let c = 117600 - 117597. Solve -4*i = c*j + 8, -2*j + 6 = -4*j - g*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - f + 4*f**2 - 2*f**2 + 10 + 6*f**2 + 0*f**2 + 0*f**2 + (-f + 3 - 3)*(-7*f + 7 - 7) - 4*f + 2*f**2 + 4*f to the form m*f**2 + c + a*f and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 49*a**2 - 1066*a + 1542. Determine u(38).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 186841256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-31*h + 31*h + 12*h**4) + (-3*h**3 + h**3 + 3*h**3)*(0*h + 3*h - h).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1280, 5006, 11214, 19904, 31076?\n\"Answer: 1241*b**2 + 3*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5319332949.\nAnswer: 3, 7, 4523, 56003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 + -7. Let c = u + 0.2. Sort 0.3, 0.5, c in descending order.\nAnswer: 0.5, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3799 and -49\/1508?\nAnswer: 197548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Let n(i) = 5*i**2 - i - 1 + y*i**2 - i**2 - i. What is n(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47795685 divided by 5\nAnswer: -9559137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9549 = 38*v - 7969. Let z = -443 + v. Calculate the remainder when 68 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u - 38. Let t be w(9). Let j(r) = 23*r + 2 - 5 - t*r + 2. Let m(s) = -2*s**2 + 1. Let v be m(-2). What is j(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 32.8. Let o = -2.8 + s. Sort 4, -2\/3, o, -3 in ascending order.\nAnswer: -3, o, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 92 + 43*q)*(-1641*q**2 - 1773*q**2 + 3582*q**2).\nAnswer: 7224*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, z: 6, o: 3}. What is prob of sequence oz?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-27 - (-38 - -25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 + (4 - 1). Suppose -50 + 26 = -w*z. Suppose z*r + 11201 = 8*r + q, r = 5*q + 5595. Round r to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21824346 - 188.\nAnswer: -21824534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**2 - 289750*v + 4197753125 = 0.\nAnswer: 28975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 41. Let x be q(-19). What is the second derivative of 19*a**x - 42*a - 38*a + 91*a wrt a?\nAnswer: 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1266360 to the nearest 10000.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwwtwbdwtbwddwdkwb. Give prob of picking 3 b and 1 w.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(11) + 0 + sqrt(11) + -3*sqrt(33)\/sqrt(3) - (sqrt(275)*-1 - (-3 + sqrt(11)*2)).\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25866 and 2395.\nAnswer: 129330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i + 6. Let b be (4 + -3)\/(i\/57949812). Let h = b + 13016604. Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -35. Suppose t - 232 = -t - 4*f, 0 = t + 3*f - 111. Suppose o + t = 4*o. What is the remainder when o is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + m. Let h be i(1). Let t(f) = -3*f**2 + 4*f**2 + 0 + 0*f**2 + h*f + 3. Give t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36*3*(-4)\/56 and 69\/34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018712316 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/37475, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 12621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -656065 and -0.3.\nAnswer: -656065.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5 = 3*v - 4*v, 0 = 4*v - 4. Let q be (36\/(-27) + j)*(-36)\/5. Solve -4*r = -y - y + 8, -3*r = 3*y + q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 399 + -396. Let q(n) be the third derivative of 0 + 0*n**4 + 1\/120*n**6 + 1\/1008*n**8 - 1\/180*n**5 - 1\/210*n**7 - 9*n**2 + 0*n + 0*n**s. Factor q(i).\nAnswer: i**2*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893 + 34.247905?\nAnswer: 927.247905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d**6*r - d**6 - 9*d**3 + 2*d**2*r - 7*d**2 - 59*d*r + 2*d wrt d?\nAnswer: -1560*d**3*r - 120*d**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g = 45. Let a be g + -1 - 0\/(-3). Let l(v) = -a*v**2 + 7*v + v**3 - 2 + 2 - 1 + 4. Determine l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9*w = -168. Suppose 0 = w*y - 9115 - 7951. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20689 is divided by 6894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 509 by -2.\nAnswer: -509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21734 - 9788. What are the prime factors of c?\nAnswer: 2, 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 302126*d\/3 - 67140.\nAnswer: 2*(d - 50355)*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than 304952166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 469018.7ng?\nAnswer: 469.0187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.157913 millilitres to litres.\nAnswer: 0.007157913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300222 is divided by 188?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -199*j**5\/4 + 985*j**4\/12 + 5*j**3\/3 + 1127*j. Factor b(o).\nAnswer: -5*o*(o - 1)*(199*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/555 and -11\/45?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38229980.\nAnswer: 2, 5, 1103, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from cbvnbbvvbbnbbbybbybb.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 128031800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 3*f**3 - 3*f**3)*(-12*f + 15*f + 18*f) - 33*f**3 - 22*f**4 + 33*f**3.\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 891.8 + -1516. Round h to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*g - 33 - 31, 36 = o - 4*g. Solve o = -12*k + 8*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = -7*u + 69. Is u at least as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 3 + sqrt(275) + sqrt(275) + -2)**2 + -3)*1.\nAnswer: 30*sqrt(11) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -0.5 (c) 589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487668946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnvv when four letters picked without replacement from {m: 3, n: 2, f: 5, v: 2}?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, w: 3, e: 1, d: 4}. What is prob of sequence beb?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -88, -428, -1000, -1810, -2864, -4168, -5728, -7550?\n\"Answer: -i**3 - 110*i**2 - 3*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p**2 + 4*p - 29. Is y(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4*(-1088)\/(-340). Suppose 5*z + 9 = -4*w, -5*w + 149*z = 152*z + o. Which is bigger: w or -64?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 139.14 and 1.4.\nAnswer: 194.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 26 = -5*n, -2*n - 2*k - k + 13 = 0. Suppose -n*u = 5*x - 31 - 19, -4*u = -16. Sort -5, -1, x in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-2 - (1 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m - 27*m - 30*m - 66*m + 640 + 179*m - 31*m.\nAnswer: m + 640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 6 = 2*h. Let q = h - 23. Suppose -21*z = 1567 - 5615 - 572. Calculate the greatest common divisor of q and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37924 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 7*o + 8. Let u(y) = -4*y**2 - 13*y - 15. Let j = -38 + 19. Let k = j + 25. What is k*u(a) + 11*w(a)?\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 478629251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Suppose -a + 5*i = -20, -2*a = y*a + 4*i - 32. Let s = -4 + a. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 + q**2)*(q + q + 0*q) + 2*q**3 - 6*q**3 + 3*q**3 + 1491*q**3 + 5*q - 754*q**3 - 748*q**3.\nAnswer: -8*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*y - 37, -3918*w + y - 2 = -3914*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 3*l**2 + 5*l - 4. Let n be (-45)\/18*2\/(-1). Let h = n - -4. Suppose 20 = -4*p + h*p. What is r(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55387 divided by -1.\nAnswer: -55387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3000\/460)\/(128\/(-1472)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-4)*101\/(13029\/(-86))*16\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z = 120*z - 10374. What is the remainder when 657 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**2 - 2*p. Let y(n) = -32*n**2 + 5*n. Let b(r) = -8*u(r) - 3*y(r). List the prime factors of b(2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + g + 98. Calculate z(9).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + (-25)\/2 - -9)*8\/3. Let d(q) be the first derivative of 0*q - 2*q**3 + 11\/4*q**j + 13 + 0*q**2. Find the third derivative of d(g) wrt g.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/14795675 and 7\/14795675?\nAnswer: 14795675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 827398 and 4734?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-6) - 1050\/(-630). Solve -15*u + 2*w = -11*u + 8, j*w + 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let t(b) = 13*b. Let z(k) = -20*k. Let n(f) = -f**3 + 8*f**2 + 11*f - 10. Let x be n(9). Let q(g) = x*t(g) + 5*z(g). Give r(q(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28538 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-10710)\/(-924))\/(-17)*5\/(25\/12)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 2. Let i be q(-8). Suppose i = j - 3. Calculate the highest common divisor of j and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26956 divided by -586\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u. Let y(m) = -23*m**2 - m**2 + 8*m**2. Calculate y(i(j)).\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(300) + 3 + (sqrt(300) - ((2*sqrt(300) - sqrt(300)) + -5)))**2*-2.\nAnswer: -728 - 320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 294 = -12*o. Let b be (-1 + -1)*(-1890)\/60. What is the greatest common factor of b and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -130, -284, -500, -778?\n\"Answer: -31*o**2 + o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 69*j**2\/2 - 9495*j + 38500.\nAnswer: (j - 175)*(j - 4)*(j + 110)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 164295379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.2374 decades in millennia?\nAnswer: 0.572374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 185.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-10))\/w**(1\/9) assuming w is positive.\nAnswer: w**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7641*q + 2712 = -7302*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -32*f + 2376. Suppose -5*i + 7*i - f = 0. Does 35 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 605*j - 608*j + 190, f - 5*j = 13. Solve 6*v - f = -55 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 13 - s - 11 + 0*s. Let c = -1 - -4. What is the units digit of x(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35785772081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*-2 - sqrt(330))\/sqrt(11))\/sqrt(6).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m - 2. Suppose -43*o + 169 = -64 + 18. Determine v(o).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*a = -75*a - 10720. Solve 25 = 11*w + a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6102 divided by 3\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 9. Let k be j(-6). Let q(u) = u**2 - u. Let f be q(0). Let d = f - k. Solve -5*r = d*p - 2*r, 0 = -4*p - 5*r + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2297 + 532 = 542*d + 12869 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 106. Let g = -26 - i. Suppose g*a = -3*u + 24, -4*u + 3 = -4*a + u. Solve -8 = -4*k, -a*q + 2*k + 8 = -3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200931?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192.219 + 4460.551. Let x = -4630 + l. Round x to zero dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + sqrt(720) + 0 + sqrt(720) + -4.\nAnswer: -4 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.7*0.06.\nAnswer: 0.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18293 - 18293.000008607. What is k rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -33. Let x = 20 - 23. Let y be (-7)\/((-21)\/450) - x. Calculate the greatest common divisor of y and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -19. Suppose 0 = -a*v + 7*v - 21. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374053.\nAnswer: 19, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**7\/112 - r**6\/80 + 13*r**5\/80 - 5*r**4\/16 + 3*r**3\/16 + 3*r**2 - 15. Determine z so that d(z) = 0.\nAnswer: -3, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1911, -1, -0.58?\nAnswer: -1911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 210 + 59 = 0. Let c = s - 53. Let h be -2*(-3 + -25)\/4. What is the highest common divisor of h and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -12. Let j = -8 + s. Suppose i + 4*a = j*i - 51, -4*a = -2*i + 38. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 416 or 1\/4?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35615338.3 and -623.3.\nAnswer: -35615961.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (23 - (29 + (5 - 20))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8378 (base 15) to base 11\nAnswer: -19972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 8032\nAnswer: -3212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1716*a**3 + 8*a**2 - 6*a - 2. What are the prime factors of r(1)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + j - 16. Let g be l(4). Suppose -2*s + 12 + 14 = 0. Solve 0 = g*u + s + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -201. Suppose 0 = -2*u + 3*u - r. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*s - 86*s = -75 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*n**2 - n**2 + n**2 - 4.\nAnswer: 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14067.1 - -14066. Which is the nearest to 0? (a) -5 (b) z (c) 0.5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 1 + (3602 - 3602)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1 + (3 - 3 + 1)*(-2 - 2 + 6))*(-o**3 + 3*o**5 + o**3) + 5*o**5 - 4*o**5 + 6*o**5.\nAnswer: 22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide ((-16)\/5)\/(24\/(-540))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2640\/210 + (-8)\/14. Solve -u - 3*u = -q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5147411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5901197607 to the nearest integer?\nAnswer: 76819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113 at least 2119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*g**2 + 12\/5*g + 18\/5.\nAnswer: 2*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (4 - 0 - -2). Let w be x - (-3)\/(6\/2). Let d = 1595\/14 + -227\/2. Which is the nearest to -1? (a) 0.4 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -898 divided by -6494\nAnswer: 449\/3247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2747884\/255 + -10776. Let y = 16081\/1020 - h. Find the common denominator of ((-231)\/(-12))\/(2*1) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -210, -321, -432, -543?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-4)\/(-6)*(-522)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h - 30. Let s = h - -8. Find the second derivative of 2*r - 2*r + r**s + r wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3)*5 - sqrt(63))\/(1*sqrt(27)\/sqrt(3)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/15)\/q*q**3\/q*q*(q\/(q**(1\/2)\/q)*q)\/q**(-5))\/(q**(-2\/5)*q**(-4\/3)*(q**(2\/13)\/q)\/q*q*q\/(q*q**(3\/5))) assuming q is positive.\nAnswer: q**(1761\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/1 + (-6 - 11). Suppose -3885 = -5*v - 30*v. Let n = f + v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1665 = 13*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*m - 26 = 64*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**2*v**3*w**3 - g**2*v**3*w**2 - 3*g**2*v**3*w - 6*g**2*w**2 - 563*g*v**3*w**4 - 6*g*v**3*w**2 + 5*g*v**2*w wrt w.\nAnswer: -48*g**2*v**3 - 13512*g*v**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*o + 799 = -386*o + 22683 + 31753 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x + 3. Let i(r) = r**2 + 18*r + 13. Let n be i(-17). Let w(j) = -20*j - 8. Calculate n*w(c) - 11*v(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**2\/2 - u + 4. Let n(g) = 1. Let w(r) = n(r) + q(r). Let l(j) = 5*j**2. What is l(w(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 17*c**2 - 17*c - 4. Let a be l(16). Let g = -2 - 6. Is (-3 + a\/g)*-1074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.22 (c) 3\/5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107374 divided by -107374?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2047 - 1904. Calculate the remainder when 853 is divided by d.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkr when three letters picked without replacement from {r: 5, k: 13}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -160. Let y = l + 81. Factor y*j**2 - 38*j + 38*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 175*z**2 - 175*z**2 - 4*z**3.\nAnswer: -4*z**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z**2 - 6*z + 5. Let t(m) = -15*m**2 + 13*m - 11. Calculate -13*n(l) - 6*t(l).\nAnswer: -14*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -1392224?\nAnswer: -11137792","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 889*z - 893*z + 14*z**3 - 21*z**3 + 3.\nAnswer: -7*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 508644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118452096 and 177678144?\nAnswer: 355356288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10115000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6316?\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:37 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 22*f. Suppose 2*h = 124 - 0. Let v(s) = -h*s - 64*s + 125*s. Calculate d(v(a)).\nAnswer: 2*a**2 - 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, e: 8, t: 2}. What is prob of picking 1 t and 1 z?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 22*u**2 - 17*u + 172. Let l be y(-9). Solve -4 = -2*v + 2*n, 4*v + n + 2*n = l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*r**2 - 27\/4*r + 3\/2.\nAnswer: 3*(r - 1)*(7*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4\/3, 626, 5, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216322.\nAnswer: 2, 108161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 69. Let d(m) = 4*m - 3. Let h(l) = -11*l + 8. Determine p*d(q) - 3*h(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - (6 + -4 + 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -2\/13, -40, -627\/8, 0.2 in increasing order.\nAnswer: -627\/8, -49, -40, -2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_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: In base 6, what is 4 + 105442?\nAnswer: 105450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let x(k) = 4*k + 1. Let v(z) = 9*n(z) - 2*x(z). Let j(o) = -5*o + 2. Let y(m) = -27*m + 11. Let b(w) = 11*j(w) - 2*y(w). Determine 3*b(c) + v(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.02 + 0.02. Let p = -2101 + 4050. Let w = -1947 + p. Sort w, a, -1, 1.8 in increasing order.\nAnswer: a, -1, 1.8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25388 + 25665. Calculate the remainder when c is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 plus -0.125?\nAnswer: -880.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -72229, 2\/21, 0, 4\/5 in increasing order.\nAnswer: -72229, -1, 0, 2\/21, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1, 116.\nAnswer: -2, -1, 0, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 13. Let a be o(10). Let i be (17\/((-238)\/(-72)))\/((-2)\/a). Solve 0 = 2*s + 2*g - i, -3*s + g - 1 = -3*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1081 by 17.\nAnswer: 1081\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n - 5, 2*l + 5*n = 221. Calculate the remainder when l is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11703978.9 microseconds?\nAnswer: 0.00013546271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 27, -27, -127?\n\"Answer: -23*r**2 + 61*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858021024?\nAnswer: 2, 3, 7, 1276817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/88 + 144\/396. Which is the nearest to 2\/7? (a) 1\/36 (b) 1 (c) o (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*b = -4, 3*o - 5*b + 9 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -b4442?\nAnswer: b4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + b = 6*b - 32, 4*y + 4*b - 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u + 7. Let q be s(-4). Let z = q + 44. Calculate the remainder when 41 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 5106 = 16*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1654200 and 661680.\nAnswer: 3308400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 66 - 330. Suppose -5*w + f - 39 = 0. What is the remainder when 34 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91425 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 0*i - 30. Suppose -43 = -i*o - 3. Solve -o = -4*u, -y - 3*u + 2 + 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9988, -19976, -29964, -39952?\n\"Answer: -9988*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14984421 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 + 8400*j - 3528000 = 0 for j.\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37889869 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - -40)*7\/(-7) and 31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 9:43 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 349*y - 1040. Calculate the remainder when 674 is divided by x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 893 - 151. Does 57 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 7*v**2 - 18)*(-5*v - 6*v**2 - 5*v**2 + 19*v**2).\nAnswer: 56*v**4 - 35*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 180 = 19*b. Suppose 3*y = -y - 4, 2*y = -q + 15. Is q at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 5 + (-2)\/(-4). Let w = -0.3 - -1.3. Let f = w - 0.6. What is the third smallest value in v, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4155 bigger than 4517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -55\/2, -8, 6\/11 in increasing order.\nAnswer: -55\/2, -8, 6\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 34*s - 220 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 13*a**2 - 11*a + 9. Let c be t(-12). What is the smallest common multiple of ((-8)\/(-3))\/((-2)\/c) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 74517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 4*v**2 + 6*v + 7. Let x be t(-5). Let z(s) = 10*s**2 - 13*s + 3. Let i be z(1). Solve i = x*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5610\/(-13923) - (-7)\/(-273).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 713 + 1758. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64043\/39 - 1642. What is the common denominator of -37\/6 and d?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 5*q**2 - 5*q + 6. Let l be z(-6). Is 5 a factor of 17 - 1 - (-2 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96344825 is divided by 189.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6*b + 3*j + 1, b - 4*j = -3. Calculate the common denominator of 93\/14 and (-116)\/24 - (-2 - b).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chhjzwhvwchchjjhzchc. Give prob of sequence jcj.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20675 - -21554.7. Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1814708451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-50)*5*25. Suppose -v + 60 = q*d, 0*v - 5*v + 204 = d. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 4 - 5*y**2 - y**3 - 5 + (-y**2 - y**2 + 4*y**2)*(y - y - y).\nAnswer: -4*y**3 - 5*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(2574\/(-275)) - (-2)\/13. Which is the second biggest value? (a) l (b) -2\/163 (c) -2\/17 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132012321201 (base 4) to base 16.\nAnswer: -786e61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 9*z - 12. Let k be r(9). Let j be (-1 - -3) + k\/4. Let m(n) = -n + 2. Let v(p) = -1. Calculate j*m(i) - 2*v(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -726, -1451, -2178, -2907, -3638, -4371?\nAnswer: -5106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1141.1 + 1141. What is the nearest to 1\/4 in -9, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6. Let l(b) = -b**2 - 2*b - 8. Let o be l(j). Let y be (6\/(-5))\/(o\/20). Solve 7*r + t = 3*r + 3, -19 = -2*r + y*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 113 = 3*s + s, -s = -t + 19. Let z be -4 - ((-14)\/6)\/(7\/t). Solve 0 = 3*c - z - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157077 divided by 23\nAnswer: -157077\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p)**(-3) assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q = -35. What are the prime factors of q\/(-20) + 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2966\/56 + 24\/672. Solve a*h + 194 = 35 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*c**4*q + 2260*c**2*q + 859558*q wrt c.\nAnswer: 52*c**3*q + 4520*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (8 + 10*(-10)\/4)*-38 and 16?\nAnswer: 5168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2213 - -123?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7.8. Let j = d + 9.3. Let m = j + -4.7. Put 1\/8, -2, m in increasing order.\nAnswer: -2, m, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 4 = 4*k + 110, 2*g + 21 = -0*g + 31 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*o**2*y**3 + 37*m**2*y**3 + 2*m*o**2*y**3 - 101*m*y**2 wrt m.\nAnswer: -2*o**2*y**3 + 74*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 581 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 471.208195.\nAnswer: -471.408195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 1. Let y be 4\/5*(-60)\/(-24). Let z be b(y). Let o(p) = 4 + z*p - 2*p - 3 - 4. What is o(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(75) + 1 + sqrt(3) + sqrt(3) + sqrt(3)*-2 + -4)*3)**2.\nAnswer: -270*sqrt(3) + 754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 28*k - 27*k = 72208, x - 3*k = 14432. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o + 180*o - 58*o + 616 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g + 12. Let z be (-2)\/6 + (22\/(-6))\/1. Is h(z) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/125320 and 53\/6266.\nAnswer: 125320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11089 - 2135 = -38*y. What is the remainder when y is divided by 73?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6444.076578 and 35.385.\nAnswer: 6479.461578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(24 + -8))\/46. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -124473 from 104.13.\nAnswer: 124577.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*l**4 + 2696 - 5*l**2 + 4364 - 9568 + 56*l**2 with respect to l.\nAnswer: -28*l**3 + 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**6\/120 - 11*k**5\/60 + 25*k**4\/24 - 5*k**3\/2 - 11114*k**2. Calculate z(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.018473 litres to millilitres.\nAnswer: 18.473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {a: 1, q: 1, m: 2, o: 1, u: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -236, -247, -258, -269, -280?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-235)\/20)\/((12\/4)\/(-60)).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119893 at most -119888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 + -10)\/(4\/(-30)). What is the tens digit of (-250)\/r*3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, -4, 1, 1574 in increasing order.\nAnswer: -4, -3, 1, 15, 1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Let m be (y\/(-75))\/((-3)\/(-30)). What is the nearest to 2 in 2, m, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 8:11 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*c - 9184, -70*m + 67*m + c = -13783. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhghgbghooohvyhhyyy. What is prob of picking 1 b and 2 h?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33055, 33050, 33045?\n\"Answer: -5*r + 33060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 153*u**2 + 236*u - 768. Determine z(75).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358104.\nAnswer: 2, 3, 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 126 = -3*x, 0 = -4*j - 0*j + 2*x - 156. Let f = -37 - j. Put -1, f, -4 in increasing order.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/70*-7*(-5)\/(-5)*-8. Let x(k) = 12*k**2 + 2*k + 1. Let p(t) = -35*t**2 - 6*t - 2. Let u(v) = -4*p(v) - 11*x(v). What are the prime factors of u(g)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -220*z + 310*z - 548*z - 32518 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3916169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 + 8*o - 5. Let g be f(7). Suppose -10 = -3*y + g. Suppose -y = -0*t + t + 3*b, 3*t - 10 = 2*b. Solve -t*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.82 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77843753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1589 + -390. Does 75 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 26 + 2 = 6*x, 2997*u - 2994*u = 2*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 22*r = -100. Let a be -1 + -1 - (-20)\/(r\/1). Solve 30 = 5*u + 2*h, -4*u + h = a*h - 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, f: 4, q: 3}. What is prob of sequence ll?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -32 (b) 1 (c) -0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150218612 to the power of 1\/3, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m + 190. Calculate the remainder when 428 is divided by j(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13445632 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 137. Let k(g) be the first derivative of -m*g - 7\/2*g**2 - 2 - 1\/3*g**3. Give k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9 - 3*t**2 - 5*t**3 - 7*t - 12*t**2 + 4*t**3 + 2*t. Let c be u(7). Calculate the common denominator of -40 and (3\/8)\/((-108)\/c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 21*z - 523. Let s be y(25). Solve 2*v - 3*x - 12 = 5*v, -7 = -s*v + x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - b + 1. Let c(p) = -3*p**3 + 7 + p**3 + 19*p - 21*p - 2*p**2. Give -c(n) + 2*r(n).\nAnswer: 2*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from jdddjddhojhddddjd.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 3*h - 4*j, -h + 4*j + 10 - 26 = 0. Let s = h + 27. Suppose s = -18*f + 19*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**4 - 2*f**3 + 432*f**2?\nAnswer: 264*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*c**2 + 2*c + 20*c - 154*c**2 - 2 - 2*c to m + s*c + y*c**2 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 5, -1, -3\/7, 6, 0.452, -7?\nAnswer: 0.452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3000 + 3816. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let s(p) = -p - 1. Calculate the lowest common multiple of 6 + 2\/(-4)*r and s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -13*u**2. Let w(a) = -3*a - 10. What is w(c(i))?\nAnswer: 39*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x - 3*a - 11 = 0, -3*a - 3 = 0. Factor 1 + 1\/2*s - 1\/2*s**x.\nAnswer: -(s - 2)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -3.8. Let u = 8 + r. Let n be (-3)\/(-4) + (-6 - -5). What is the biggest value in n, -2\/9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -1\/405?\nAnswer: -1\/405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7844 + -7843.827. Round l to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6188*k + 6192*k = -188 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -47.614 - 0.2\nAnswer: -47.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124*4.\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) -2\/5 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 29. Let a(p) = 365*p**3 - 6*p**2 + 5*p + 3. Let t be a(y). Suppose -t = -b + 29813. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.414 + -0.414. What is the nearest to m in -3, -0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6656190*d**3 - 718474*d**2 + 2*d + 2.\nAnswer: -39937140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4 + 3 + 1 - 2 + 0 - 2 + 3 + (2 + 3 - 6)*(-1 - 5 + 4) - 4 - 1 + 3)*(16*y**3 + 4*y**3 - 89*y**3).\nAnswer: -69*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 679, 2471, 5381, 9403, 14531, 20759, 28081, 36491?\n\"Answer: -b**3 + 565*b**2 + 104*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = 4*c, o + o + 3*c = 12. Factor 7*z**2 - o - 2*z - z**2 - 1.\nAnswer: 2*(z - 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, 6, -73, -4, -0.126.\nAnswer: -73, -4, -0.5, -0.126, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -4, -34, -86, -166, -280?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -46. Let q = -18 + 28. Suppose p - q = -k*p. 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: Calculate the greatest common factor of 8609 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3 in decreasing order.\nAnswer: 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3187256543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, z: 1, t: 2, l: 1, v: 1}. Give prob of picking 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 11*h - 41. Let k = 21 - 10. What is the remainder when i(15) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8110 less than 8101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -62 and -11?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52055?\nAnswer: 5, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12825969 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4607*a - 888*a - 6*a**2 - 932*a - 927*a - 928*a - 932*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2039, 2197, 2355?\n\"Answer: 158*x + 1881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 2*t - 1. Let y be z(-1). Suppose -28*m + m + 54 = y. Calculate the highest common factor of 20 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 5*f + 6. Let l be t(-5). What is the units digit of (-1 + 13)*26\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 28\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316 divided by -329?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 72. Suppose -1 = -3*z + y. What is the remainder when 72 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.050003 + 3\nAnswer: 3.050003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**4 + 9600*f**3 + f**2 - 113*f - 1344?\nAnswer: 48*f**2 + 57600*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 0.1 (c) 275 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - 0.5. Let c be 3\/(-2)*(-8)\/(-30). Sort c, s, 1 in decreasing order.\nAnswer: 1, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 33 = -3*x, 5*t - 5*x - 45 = 0. Let d be (6\/8)\/(3\/t). Solve -w + 4 = -3*o, -d = -w - 5*o - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 5*c**2 + 56*c - 6. Let u(v) = v**3 + 9*v**2 + 113*v - 10. What is -5*g(y) + 3*u(y)?\nAnswer: -2*y**3 + 2*y**2 + 59*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9719 + 155409\/16. Find the common denominator of -51\/176 and p.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 1. Is 11 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 550312448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2. Let x(p) = p + 3. Let j(k) = 35*k - 18. Let z(c) = j(c) + 6*x(c). Calculate w(z(u)).\nAnswer: 5043*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 + -159. Is k\/10 + 95432\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1624 by -116.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84269204 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(5\/((-20)\/8)). Suppose r*d - 4 = -2*d. Solve -d + 6 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(-2*o + 6 - 6)*(-2*o**3 + o**3 - o**3) + 0*o**3 + 0*o**3 - 2*o**4.\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203296 is divided by 202982.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = -5*o, -2*n + 5*n - 6 = -4*o. Solve o = -3*v - 0 - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.51994 tonnes to nanograms.\nAnswer: 63519940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -719*l + 17452 + 5556 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18485 (base 9) to base 3\nAnswer: -122112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 14, f: 1}. Give prob of picking 2 u and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -4)*(-8 - -1). Suppose 3 = 2*r - w. Suppose -90 = -r*a + 20. Round a to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 261.\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-10) - (-56)\/(-35). Let h be (-2 - 1\/v)*(-3 - -1). Find u, given that -u**h + 237*u + 16*u**2 + 5 - 252*u - 5*u**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**5 - 118*m**6 - 32*m**2 + 4*m**5 + 98*m**6 wrt m?\nAnswer: -2400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -76. Suppose 0 = 2*d - f*k - 70, -3*d = -7*d - 4*k + 84. Solve -r + 4*r + 4*l + d = 0, 2*l = 4*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0, -138, 4, 45 in increasing order.\nAnswer: -138, -5, 0, 4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 35911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/t**(-23))**(-46) assuming t is positive.\nAnswer: t**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9171 + 27262\/3. Let h = u + 84. Which is the closest to -2? (a) h (b) 1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -706*-2659\nAnswer: 1877254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 40. Let h be k(22). Solve -h*w = 2*r + 10, -r = -w + 2*r + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {a: 1, y: 1, h: 2, z: 1, f: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41\/105 - -2\/35. Which is the closest to -0.3? (a) 0.5 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(65\/15 + -3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54151850*m**2 - 193364033?\nAnswer: 108303700*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 102, 298, 678, 1302, 2230, 3522, 5238?\nAnswer: 7438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 1. Sort -5, k, -2.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5343637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5677 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwf when three letters picked without replacement from {f: 4, e: 4, w: 6}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 276559151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 33*k + 2. Suppose 0 = 2*q + 3*m + 1, -5*m + 0 = -q + 6. Is g(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*n - 4904 = 243*n + 25848 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/35 and -9*(-2)\/3 - ((-3804)\/(-240) - 6).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 40673?\nAnswer: 40672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 3*i - i)*(2*i + 0 + 0) + (-3*i + 3*i - i)*(-i + 3*i + 4*i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -4\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a meter in centimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 230713 - 103?\nAnswer: 230610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 43*g**7\/21 + 16*g**3\/3 + 58*g. Find the second derivative of k(r) wrt r.\nAnswer: 1720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + -92174?\nAnswer: -92153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(1 - 4 + 2) - 19 - 7 + 7)*(0*n**2 + 0*n**2 + 2*n**2).\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515174*p + 3*p**2 - 4*p**2 - 257588*p - 257586*p + 3*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (47\/188)\/((-1)\/26)*2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*b*k*o**3 - 5*b*k*o**2 - 30*b*o**3 - 169*b*o - 6*k*o**2 + 17*o**3 - 5 wrt o?\nAnswer: 270*b*k - 180*b + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 130554550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001133688957 rounded to six decimal places?\nAnswer: -0.001134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**6\/9 - 17*y**5\/15 + y**4\/2 + 17*y**3\/9 - 4*y**2\/3 + 197. Suppose s(w) = 0. Calculate w.\nAnswer: -1, 0, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858945 and 1730?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.329358 hours to seconds.\nAnswer: 22785.6888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**4 - 2*p**4 + p**4)*(251 + 883 - 659)*(0 + 0 - 5) in the form b*p**3 + c*p + x*p**4 + d*p**2 + f and give x.\nAnswer: 4750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 84?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 1 = 10. Let l = 2 + -1. Let a be l + 2 + 3\/t. Let p(g) = -g**3 + 7*g**2 - 4*g - 6. Determine p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.26 - 2.78748667?\nAnswer: -0.52748667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 181479331 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 21 = 3. Suppose t + 2 = 4*v. Suppose 2*z - w - 27 = 38, v*z = -4*w + 50. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 47 = -3*l, 58 = -0*l + 4*l - 2*g. Let f be (2 + -5)\/(3\/(-16)). Let k = f - 8. Calculate the remainder when l is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43735.98 grams in milligrams?\nAnswer: 43735980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2)\/(1 - (-8)\/20). Suppose -1269 + 1332 = 21*n. Sort n, b, 2\/7, -1\/5 in decreasing order.\nAnswer: n, 2\/7, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 5:06 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475260467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 - 176 = -l - 359, 0 = -8*n - 4*l - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325\/88 - -86\/11. What is the common denominator of i and 65\/204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -543 - -803. Let m = 355 + w. Is m a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 37*a + 17*a - 8712301 = 0. Is a 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 21080 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -203*z. Let d(w) = -17*w. Let o(y) = 35*d(y) - 3*k(y). Let c(a) = 3*a**2. Determine o(c(f)).\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -850*n. Let k(o) = -2*o. Give k(x(t)).\nAnswer: 1700*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 - 4*s + 1. Let a(x) = x**3 - 4*x**2 - 4*x + 2. Let w be 2\/((-1)\/(1\/1)). Let j(c) = w*a(c) + 3*l(c). Let m be j(3). Sort 2, m, -0.3.\nAnswer: -0.3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 56, 89, 144, 227, 344, 501?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/12 and (-2 - 1) + 265\/(-40).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*a + 2 - 4 + 2 to the form g + r*a and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 250.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(700) + 2*sqrt(700))*4 - (1*-2*sqrt(700))**2) + -2*((sqrt(700) + -1 + sqrt(700))**2 + -5))*6.\nAnswer: -4800*sqrt(7) + 201408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.1 + -0.1. Let a(g) = -g**3 + 7*g**2 - 4*g - 2. Let f be a(6). Suppose 2*s + 4*z - f = 0, 2*z - 14 = -5*s + s. What is the nearest to -1 in s, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282 + 352. Suppose -2*c - 3*b + f = -c, -3*b + 3 = 0. What is c rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x + 1. Let a be 2 - (-18)\/(-8) - 1375\/20. Let s = 75 + a. Suppose 0 = 3*p + 15 - s. Give q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72)*6*6)**2) + 4 + (sqrt(72)*-4)**2 + 4.\nAnswer: -92152 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 42. Let m(q) = 10*q + 53. Let d be m(-7). Let o be l(d). Is 907\/(o - -5 - 4\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:07 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 less than 230007021909.9?\nAnswer: 230007021995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3432915?\nAnswer: -4\/3432915","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round -24217.0578 to 1 dp.\nAnswer: -24217.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 0, 76?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = n + 119, 0 = -5*t - 4*n + 21 + 200. What is the remainder when 241 is divided by t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1013 - -1013.0006245. What is v rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2969*q**2 + 290*q + 36. Let c(o) = 5938*o**2 + 581*o + 60. Let z(g) = 3*c(g) - 5*v(g). Find the second derivative of z(b) wrt b.\nAnswer: 5938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 b when three letters picked without replacement from ggebggbgxexbe.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 469117\/(-22))*(-10)\/25. Which is bigger: p or 8528?\nAnswer: 8528","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u - 9. Let o(l) = -l**3 - 7*l**2 + 25*l + 10. Let c be o(-10). Suppose -5*z + c = -z. Calculate the remainder when j(-6) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30118 and 0.16.\nAnswer: 30118.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -0.5. Let b = x - -0.3. Let w = b - 1. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -25. Let i = z - 4. Let r = 5 + 1. Is r <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (2 + -7 + -2 - (99 - 104))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(1 - (-4)\/8). Let h(u) = -5*u**2 - 2*u - u**3 + u**2 - z + 5. Calculate h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n - 42*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 23, 2\/21, -2\/3, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 1. Suppose -d*c + 2*c + 8 = 0. What is the first derivative of -x**c - 1 + 0*x + 0*x wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 23*c - 63. Let g be w(-19). Let y(v) = v - 20. Give y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - p + y, -y = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 16*w + 4. Is 26 a factor of a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1770)\/180)\/(-59)*-54?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (77952\/40)\/8 + 2\/5. Suppose 3*v - 2*v - u = -n, -4*n = -v - 971. What is the highest common factor of n and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 13. Let a be l(-7). Let d(h) = -6*h. Let w(n) = -32 + 4*n - 2*n + 64 - 32. Give a*w(i) - 3*d(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.34 + -0.04. Let b = -1.57 - s. What is b rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -495, 5?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minus -41436938?\nAnswer: 41436957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534419 is divided by 12144?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k - 2*k - 3*k - 15 + 0*k. Let g be n(0). Let m = g + 15. Which is the third biggest value? (a) 0.5 (b) 2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 232 + 94 = -4*q, -q - 5*o + 18 = 0. Let c be -3 + 1 - (q + -39). Solve 4*u + 0 + 20 = -c*t, -2*u + 3*t = -10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/16)*b\/b**(4\/3))\/(b\/(b**1*b))**(2\/81) assuming b is positive.\nAnswer: b**(-157\/1296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 15372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4 - (-972 - -3 - 3\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3198 divided by -123\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/4*(-1040)\/(-325)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/9)\/((f*f**2)\/f))**(-12\/7) assuming f is positive.\nAnswer: f**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14787 = 11838 - 36048. What are the prime factors of y?\nAnswer: 3, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 38\/16) + 1. Suppose 2*c = c - 2*c. Which is bigger: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.44568 + 0.413701. Let v = 0.032 + l. Round v to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.653 times 0.16\nAnswer: 7.62448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -344 + 347. Which is the third biggest value? (a) 4 (b) 1\/3 (c) r (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -52, 2\/2611, 62?\nAnswer: 2\/2611","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5049348?\nAnswer: 2, 3, 420779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172422 and 79515.\nAnswer: 16380090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + c)*(c + 2*c - 2*c) + 2*c**2 - 9*c**2 + c**2 - 8*c**2.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 639196963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 400.4083 weeks?\nAnswer: 242166939840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.03186271 rounded to three decimal places?\nAnswer: 5.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10451817, 20903627, 31355437, 41807247, 52259057, 62710867?\nAnswer: 73162677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2 + 28104*t = 0. What is t?\nAnswer: 0, 9368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 362*k**4 + 171124*k**3 + 340800*k**2.\nAnswer: 2*k**2*(k + 2)*(181*k + 85200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 96. Suppose -7*q + 2*q = 0. Let c be a(q). Let o = -50 + c. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 24333 = 2*s - 45855, 87731 = 5*k + 2*s. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 2, 8244?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 176063 (base 11) to base 12\nAnswer: 111209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**4 - 19*b**3 - 39*b**2 - 13*b + 16. Let g(m) = m**4 - m**3 - m**2 + m + 2. Let y(n) = -8*g(n) + s(n). Determine d so that y(d) = 0.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2989, 6160, 9331?\nAnswer: 12502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54528 and 4686?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y - 2. Suppose -2*j = -253 + 625. Let z = j - -185. Let r be 16\/7 + 2\/(-7). Let x(a) = -a - 1. Give r*x(m) + z*u(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(-4 + 6 + 0) + 2 - 1 + 1 + 9 - 1 - 4)*(2*x - 4*x**2 - 2*x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:44 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -222021?\nAnswer: 222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66590 by -3.\nAnswer: -66590\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 315, 3 in decreasing order.\nAnswer: 315, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -85545 rounded to the nearest one thousand?\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - u + 1. Suppose 4*b + 16 + 1 = v, 0 = -3*v + 5*b + 23. Let a be z(v). Let c be 2 - (-6)\/(-9)*a. Solve -i + c = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*n + 29. Suppose -n*f = -15, f + 37 = 5*w - 75. Calculate the remainder when 90 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -13, 1, -5, -3.\nAnswer: -24, -13, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.1 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9 + 0.29559778825?\nAnswer: 11.19559778825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*p + 24*p + 12*p + 109*p - 2*p - 3*p + 2*p + (3 + p - 3)*(-2 - 2 + 2) as n + w*p and give w.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + 10010200110222?\nAnswer: 10010200112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1055*t - 29589 = -58074 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 - l + 1. Let q(s) = 6*s**3 + 386*s**2 + 5*s + 552. Let m(y) = -q(y) - 5*w(y). What is the first derivative of m(j) wrt j?\nAnswer: -3*j**2 - 802*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 951321579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2811 + 13937?\nAnswer: 11126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 626 (b) -5 (c) -580 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 1, f: 1, a: 1}. Give prob of sequence dtt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**3 + 2*z**3 + 5*z**3 + 16*z + 84*z in the form i*z**3 + v*z + k*z**2 + o and give v.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 1798*f\/3 + 7096.\nAnswer: 2*(f - 887)*(f - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 16. Let z be (-18)\/24*y\/(-3). Sort 4, -2, z, -3 in decreasing order.\nAnswer: 4, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.310954 rounded to two decimal places?\nAnswer: -31.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -58563 >= -584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {p: 2, v: 1, y: 1, t: 1, f: 2, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-3)*(-3)\/4. Find the second derivative of -x**3 + 2*x**w + 2*x + x - 2*x**2 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37768240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - u = 20 + 9, 20 = 3*y + 2*u. Suppose -5*r - 5*o - 7 = -27, r = -3*o + 12. Find the second derivative of y*q - 2*q + r*q + 3*q**5 wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-30)\/935 - (-1)\/(-55)*-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.55254 - -0.05254. Let n(j) = -j + 1. Let t be n(0). Let z be ((-1)\/8)\/(t\/(-2)). What is the fourth biggest value in k, z, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22416 - -38707. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10337658 at most as big as -10337659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-432)\/56 - 0)\/((-1)\/14) is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160204 is divided by 115951?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Let u be 5\/(0 - -1 - 0). Suppose -u*k + 4*k + 14 = 0. Solve 5*y + v*m - 14 = -0*m, 0 = -2*y - 5*m + k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*v - 14. Suppose 0 = -v*q + q + 4*l, -5*q = 3*l. Solve q*f + 2*f + 2*x = 0, -12 = -3*f + x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*l = 50006, -873 + 25875 = -n + l. Round n to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 + -1 + 2 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.6 + 22. What is the third biggest value in -1\/4, 0.3, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/12*2\/7)\/((-120)\/(-80))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**3 + 6*k. Suppose 4*a - 18 = 46. Let h(v) = -6*v + v + a*v - 10*v**3. Give 6*h(z) - 11*n(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-2835))\/(4\/14).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.212602 rounded to 3 dps?\nAnswer: 2.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 436357*a + 1745417. Give z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 + 1. Suppose -3*g - 3 = 3*k, 0 = 4*g + g - 5*k + 5. Let c be (g + 4)\/3 + -2. What is the remainder when 20 is divided by z(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**6\/10 - 3*i**5\/5 - 13*i**4\/4 + 2*i**3 + 18*i**2 - 4*i + 804. Solve h(o) = 0.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 935 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5*o**3 - 19 + 8.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1857 + 3?\nAnswer: 185a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + d + 174, -3*o - 110 = 2*d - 7*d. Let t(z) = 2*z + 3. Let r(b) = -25*b - 35. Let v be ((-21)\/14)\/(1\/2). Calculate o*t(f) + v*r(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 16*v + 185. Let r(x) = 11*x + 92. Determine 3*m(h) - 5*r(h).\nAnswer: -7*h + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 5*s**2 + 0 - 1\/10*s**6 + 0*s**4 + 1\/30*s**5 + 0*s + 0*s**3. What is the third derivative of x(j) wrt j?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111.9 + -112. Let o be 0 + 3\/(-4) + (-4)\/16. What is the closest to h in 2, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*i + 7416 = -111*i + 24531 + 6711 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**2 - 425*t - 7815. Determine y(86).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4128)\/540)\/(-86))\/(((-2)\/25)\/((-7)\/(-805))).\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 33.6562 years?\nAnswer: 0.336562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 138 and 1.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 17 = 4*q, -2 = 4*q - 5*q - i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u - 189 = 0. Let o be (-2)\/7 - 10413\/u. Calculate the highest common divisor of o and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 737006.7?\nAnswer: 737006.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337298897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 - ((-6)\/3)\/1. Suppose 4*k - 3*v = 55 - i, 4*v = 2*k - 8. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 6:49 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32028013, 64055999, 96083985, 128111971, 160139957, 192167943?\n\"Answer: 32027986*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-1)\/((-11)\/187).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6274134+-20062\nAnswer: 6254072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 85.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1035325 and 5714.668.\nAnswer: 1041039.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*t**5 - 5\/4*t**4 - t**2 - 2*t**3 + 0*t + 0.\nAnswer: -t**2*(t + 1)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 47 = -80 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -305 divided by 5\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -493 - -497. Let k(p) = p + 5. Let n be k(-4). Let o be n\/(-3) + 14\/6. What is the third smallest value in o, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*s + 4*t + 2182, -5*t - 5 = 0. Let c = -543 + s. Let j = 113 + -75. Calculate the highest common factor of c and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 3 + 23 + (4 - 5 + 2)*(-1 - 3 + 2) + (1 - 2 + 3)*(1 - 2 - 2))*(y**2 + y**4 - y**2).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -a2549 (base 12) to base 7\nAnswer: -1540614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1828041025 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 19*m**2 + 19. Let k(r) = -r**3 + 14*r**2 - 11*r - 6. Let a be k(13). Is w(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b. Let t be l(2). Let p be (-52)\/26 - 0\/(1\/1). Let n be t\/4*(p + -3). Solve h + 0 = -n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76605677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5 = -4*a, 0 = 5*a - 1233*t + 1237*t - 45 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22016 - 8722. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 95 = -5*m. Let s be 8\/28 + 4\/m. Suppose -5*t + s*t - 4*y + 95 = 0, 5*y - 95 = -5*t. Calculate the highest common divisor of 171 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201*b**2 - 4937*b**2 + 5685*b**2 + 24228*b**2 + 12352*b**2.\nAnswer: 38529*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**7\/420 - 19*k**5\/60 - 61*k**4\/24 - 149*k**3\/3 - 150. Let x(t) be the third derivative of l(t). Differentiate x(c) wrt c.\nAnswer: -6*c**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (753488\/(-12))\/(6\/(-9)). Suppose -v = g + 15814. What is v rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4))\/sqrt(8)*4 - (-1 + ((sqrt(3) + 2)*-1)**2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(-2 + 2*p + 2)*(1 + 2 - 1) + (-p - 2*p - 6*p)*(3 + 4 - 5) in the form r*p + t and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14244 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 0 - (-444 + 393 + -12 + 0).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 59. Let t be 371\/(-14) - 1\/2. What is the remainder when 221 is divided by g(t)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*b + 14 - 4, -3*b = 5*s - 25. Solve b = -4*q - 10 + 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 + 1. What is t(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 579*s + 1162*s - 588*s - 16, -2*j - 22*s = 116 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021033 to 6 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287346089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 71*x - 37. Let u be p(-36). Let n(l) = l + 1. What is n(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572 divided by 524?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - d - 12264 = 0, -3*q = -3*d + d - 12261. Suppose 5*n + q = 8*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -85*h**4 - 51*h**3 - 120*h**2 - 28*h - 42. Let t(y) = 4*y**4 + y**2 - y + 2. Let u(b) = 4*k(b) + 84*t(b). Factor u(x).\nAnswer: -4*x*(x + 1)**2*(x + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4891.731 micrometers?\nAnswer: 0.4891731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 9999540.\nAnswer: 59997240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -37975*x - 9. Let a be c(12). Let t be 5 + -2 - (-2 + a)*1. Let l = t - -3734286. Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-4 + 238)\/(-9) - (3 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 238 - 166. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*n + 15*n - 8*n - 3)*(-3 - 1 + 5)*(-17 + 7 - 25) to the form m + l*n and give l.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)\/x)\/x)**(-31)\/(x*x\/(x**(-3\/5)\/x*x)*x\/(x*x**(-2))) assuming x is positive.\nAnswer: x**(419\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.7 - -9.3. Let d = g - 69.805. Let q = -0.2 + d. What is q rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.7 less than 5.64?\nAnswer: 21.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 28.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120*(-2)\/((-2)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 - -257. Suppose -5*n = x - 468, -3*x - o - 300 = -5*n. Calculate the smallest common multiple of n and 15.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i + 0*i**4 - 14*i**2 + 0 + 1\/3*i**5 + 0*i**3. Let x(h) = 2*h**2. Give x(g(a)).\nAnswer: 800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 15 + 3*o + o.\nAnswer: 4*o + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + i = 6, 5*i = 6*x - 4*x - 24. Let z(l) = 2 + 2*l**x - 1 + l**3 + l - 2*l**3. Is z(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/1153740 and -127\/192290?\nAnswer: 1153740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32882 and 1599?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 82?\nAnswer: -9\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*s + 72, 4*k - 6 = s - 2*s. Solve 4*i = s - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63, 246, 551, 978, 1527, 2198, 2991?\n\"Answer: 61*r**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 10\/(-4))*-14. Let j(i) = 2 - 1 + 4 + i + 0. Let y be j(s). Round y to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -44, 0.1, -5, 4, -0.2, -23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 5, y: 5, b: 1, a: 3}. What is prob of picking 1 i and 1 y?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 27*r + 7 - 79*r - 1473*r.\nAnswer: -1525*r + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**18)\/(k*k\/k**(-16)*k))\/(k**(4\/5)\/((k*k**(-9)*k)\/k*k)) assuming k is positive.\nAnswer: k**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13282017.\nAnswer: 3, 7, 23, 107, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6. Suppose d = 3*h - 2*h. Suppose -4*i - 2 - 10 = h. Put -3\/5, i, 3 in increasing order.\nAnswer: i, -3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i**5 + 5*i**4 + 6*i**2 - 20*i. Let y(w) = -7*w**5 + 3*w**4 - w**3 + 3*w**2 - 10*w. Let p(t) = -6*f(t) + 11*y(t). Find k, given that p(k) = 0.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 12*j**2 + 18*j + 61. What is k(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b = 37*b + 2*v - 18, 3*b + 11 = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -2008, -0.5, 3, 2, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28844 + 28868. Solve -5*o - 2*f = -x, 0 = f - 2 + 5 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -265243\/45909 - 1\/5101. What is the common denominator of 53\/99 and v?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1266*c + 1148*c - 3365*c)*(-6*c + 5*c + 2*c) in the form v*c + f*c**2 + o and give f.\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, 8, 1 in descending order.\nAnswer: 14, 8, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 7*f**2 + 7*f + 6. Let a be p(6). Suppose -3*s - a = -6*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 15. Suppose -5*q - a = -11. Solve 0 = -2*p - 5*l - 21, 5*p - 7*l = -q*l + 35 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*w**3 - 58*w**3 + 128*w**3.\nAnswer: 168*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10245 + 2ba?\nAnswer: -bb47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94*k + 94*k - 3*k**2)*((0 + 4 - 3)*(4 - 2 - 1) - 1 + 9 - 5)*((2 - 1 - 3)*(-1 + 5 - 2) + 1 + 3 + 2) to l*k + p + u*k**2 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419\/7123 - (375\/17 - -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 divided by 371972?\nAnswer: 437\/371972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = u + 3*u. Suppose -3*f + 9*i + 21 = u*i, -4*f + 3*i = -26. Find the second derivative of 48*b**3 - 30*b**f + 43*b - 48*b**3 wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**2\/2 + 1. Let r(j) = -2*j + 2. Let o be r(3). Let k(h) = h. Let p(g) = o*k(g) - 3*q(g). Give p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 912 + -907. Sort p, -3, 1, 0.21 in descending order.\nAnswer: p, 1, 0.21, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8))\/((-1)\/4). Let h(q) be the first derivative of -2*q**2 + 6 + 2\/3*q**3 - q. What is h(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.032854 years in decades?\nAnswer: 0.9032854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*o + 8. Let i be (-1)\/1 + o - -1. Solve -n + 12 = i*k, 3*k - 11 - 17 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x. Let z = -2 - x. Let r = 3 - 7. What is the third smallest value in r, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) - (-3 + sqrt(72)*1) - (sqrt(72) + -2 + 4).\nAnswer: -6*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 6:42 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1*d*d)**(3\/11)\/(d\/d**7)**3)**(-41) assuming d is positive.\nAnswer: d**(-8610\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 26. Suppose 3964 = -x*j + 20*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(-8)\/(-12). Suppose -a = -l + 4. What is the least common multiple of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45 - (9 + (1 - (30 + 20)))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqbq when four letters picked without replacement from {t: 1, h: 2, b: 1, y: 8, q: 3, f: 5}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 784219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 - 2*o**5 + 4*o**5 + (3*o - 2*o**4 - 3*o)*(-3*o + 3*o - 3*o) - 6*o**5 + 2*o**5 + 8*o**5 + 26*o + 51*o**3 - 2*o**5 + 4*o - 28*o.\nAnswer: 9*o**5 + 51*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747413 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*y + 24, -4*f + 5*y + 5 = -19. Solve -f*j + 3*j = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4404628*m**3*t**4 - 7*m**3*t**2 + 446*m**3 - 155*m*t**2 wrt t?\nAnswer: 105711072*m**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/23803 and 43\/2451709.\nAnswer: 2451709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -647, 25, 143, 6 in descending order.\nAnswer: 143, 25, 6, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1626 and -0.3?\nAnswer: 0.4626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 - 0 - 3762\/(-1710). Solve 12 = -c*m + 5*n, m + 5*n - n - 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105300 = 20*x - 5*x - 6*x. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 267, 375, 463, 525, 555, 547?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z. Suppose -2*c - 3*c - 2*g = -23, 4*c - 2*g = 4. Suppose 0 = -3*y + 3 + c. Let x(j) = 1 - 1 + j + 0*j. Calculate y*o(r) + 7*x(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 40*l**2 + 20*l + 4. Let f(q) = -279*q**2 - 141*q - 27. Let n(r) = -27*c(r) - 4*f(r). What is the second derivative of n(z) wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*1*sqrt(204))\/(-1*(sqrt(48)\/sqrt(4) + sqrt(12)) - sqrt(12)))**2 + 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 l when four letters picked without replacement from {n: 1, z: 2, w: 6, v: 4, d: 3, l: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-210884)\/(-10) - (330\/(-50))\/11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, d: 2, x: 3, b: 1, u: 1, w: 2}. What is prob of sequence bxn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, -1, 3, 4 in descending order.\nAnswer: 208, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*y = -7*c + 8, 2*c - 6 = 2*y. Let i = c + 2. Calculate the highest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b**3 + 7*b**2 + 7*b - 6. Let g(x) = -4*x**3 + 2*x**2 + 2*x - 2. Let y be (-4)\/((-1 + 0)*2). Suppose -6 = -y*z - z. Determine z*v(f) - 7*g(f).\nAnswer: 2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-14) + (-3)\/6. Let k be (2 + (-5)\/2)*-14. Suppose p = -13*v + k*v + 162. Calculate the smallest common multiple of 6 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 4*y**2 - 6*y - 21. Let j be h(-4). Solve 5*i - 6 = -j*s - 0*s, i + 8 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d - 3*d. Let t be (-58)\/(-18) + 2\/(-9). Let w be ((-10)\/t)\/(d\/15). Calculate the greatest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*a + 5*n, 63*a - 62*a = 2*n + 8. Let i = 61 - 36. Solve -d = a*d + i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 5*g + 65. Let v be z(-7). Suppose 2*p + 5*s - 22 = 3, -v*p + 3*s = -17. Solve -2*r + 7*r + p = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 17*d - 15*d = -0*a - d - 52, -19 = d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 75 = -3*z + 20, 0 = 2*n - 5*z - 67. Let s be (-5)\/2 - n\/(-4). Suppose 0 = 2*r - 2 - s. Solve -3 = h - u, -r*h - 15 = 4*u + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 3*z**4 - 2*z**4 - 4*z**3 + 3*z**4 + 4*z**3 + (0*z - z + 2*z)*(4*z**3 - 2*z**3 - z**3).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.26?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81539751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 9. Let h be d(11). Let q be -3 + 6 + -3 + h. Let 0 - 1\/2*s**q + 0*s = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-5)\/(-50)*-10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + w**2. Let l(x) = 10*x**3 - 4*x**2 - 2*x - 1. Give l(a) + 4*r(a).\nAnswer: 6*a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597401 is divided by 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)*(0 + 3 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 10*a**2 + 7*a + 9. What is t(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(15\/5 - 1). Let j = -18 - -69. Let o be (-4)\/16*1 - j\/(-76). Is p at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 and -93\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 7*j**2 - 2*j - 9. Let i be p(-7). Solve i*k + 36 = -4*n, 5*k = 26*n - 23*n - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5699, 5690, 5681, 5672, 5663, 5654?\nAnswer: 5645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 24*d - 15. Is a(4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2. Let t(k) = -1100*k + 60. Let w(j) = -440*j + 25. Let i(q) = 5*t(q) - 12*w(q). What is i(x(f))?\nAnswer: -440*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 16524.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/163 or 0?\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x + 4. Let l(c) be the second derivative of -5\/2*c**2 + 4\/3*c**3 - 20*c + 0. What is 5*l(o) + 6*y(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2. Suppose -10 - 35 = 9*j. Let f(h) = -2*h - 7. Let z be f(j). Let q(o) = -3*o**2 - z*o**2 - o**2. What is q(w(k))?\nAnswer: -112*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-13 - -20) + (-2 - -9) + 178 + -163.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.307 and 2?\nAnswer: 18.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from fmisywwy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + 7 + -8 + 2 + -32.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 3*n - n)*(950*n + 392*n - 228*n + (2*n + 3*n - 3*n)*(-3 - 1 + 6) + 0 - n + 0) in the form a*n**2 + s + o*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 4*b + b)*(2 + 0 - 1) + b + 0*b - 3*b - 1064 - 1454*b - 631*b + 1066.\nAnswer: -2088*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11055, 11997, 12939, 13881?\n\"Answer: 942*o + 10113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 134. Suppose -4*j + l = -621. Let p = -72 + j. Calculate the remainder when p is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 603118 or 603114?\nAnswer: 603114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*x + 11 = 0, -4*v = -5*x - 2 - 5. Let k = -3 - 2. Let u(y) = -y - 3. Let g be u(k). Solve g*z - 4*z + v*j + 1 = 0, 3*j + 9 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1969*h - 1424*h - 2180 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2362 is divided by 766.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 14) + 0 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 divided by 10?\nAnswer: 391\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162.898 - 0.102. Let f = i - -163.141. Let x = -0.641 + f. Which is the smallest value? (a) x (b) -0.03 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 6*d - 3. Suppose 0 = a + 4*a + 5*p - 65, 2*a - p - 11 = 0. Suppose -3*z = -a*z - 25. Determine n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-276)\/28 - -10)*(-2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(6)*2)\/sqrt(2) - sqrt(34)\/(sqrt(10)\/sqrt(5)*6).\nAnswer: 11*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**28*y*y**(-13))\/((y*y\/(y**9\/y*y))\/y*y\/y**(15\/7)) assuming y is positive.\nAnswer: y**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 + 4.7. What is the second biggest value in c, -2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4310348 divided by -2\nAnswer: 2155174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-6)*4)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 14) to base 10\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 52149*u**2 + 28*u + 20*u - u**4 + 47 - 48*u**3 - 52195*u**2 = 0. Calculate u.\nAnswer: -47, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 71*t - 54 = 35*t. Solve -19 = 10*c - t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/551, -1, 2, -5202?\nAnswer: -5202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -24*c - 1. Let y(p) = -25*p - 1. Let z(v) = -7*t(v) + 6*y(v). Suppose 0 = g + 7*g + 16. Let r be (2\/4)\/((-1)\/g). Give z(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 189 (c) -40 (d) -1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5 + 7 + 129908*q + 2336758*q. Let c be m(3). Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -370445 - -521045. Round u to the nearest one thousand.\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, -79, -72, -65, -58?\n\"Answer: 7*f - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19793 and -443.\nAnswer: 19350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 0*o - 4*o + (-4 + 2 + 4)*(0 - o + 0))*(43*o**2 - 74*o**2 + 45*o**2) to the form i*o + m + p*o**3 + u*o**2 and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away -157271?\nAnswer: 157279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) - 19\/(247\/(-936)). Sort v, 5, -3 in descending order.\nAnswer: v, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -832 + 884. What is the smallest common multiple of o and 91?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9234309l?\nAnswer: 923.4309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*p**6 - p**3 - 45*p**2 wrt p?\nAnswer: 3240*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**3 + h**2 + 5*h + 5. Let v(b) be the second derivative of -7*b**5\/20 - b**4\/12 - b**3 - 3*b**2 - 6*b + 1. What is -6*t(y) - 5*v(y)?\nAnswer: -y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -11 + 51. Suppose 4*z = 1708*j - 1711*j + 9, -2*j - 4*z = 2. What is the least common multiple of j and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 10 - 4)*(-g - 5*g + 4*g)*(-53 + 50 - 51) as d + j*g and give j.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*f**2 - 43*f**2 + 40*f**2 as g*f + p + z*f**2 and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*g**3 + 188*g**3 - 74*g**3 - 81*g**3.\nAnswer: -45*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37035635.7 - -12833\nAnswer: -37022802.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**3 - 4*u**2 + 55*u - 50 = 0?\nAnswer: -10, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124331855.\nAnswer: 5, 31, 802141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1258849 * -10\nAnswer: -12588490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 51 * -0.04\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2847 - -2862. Calculate the remainder when 388 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 26*o = -3240. What is the remainder when o is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u - 32. Let z be d(-13). Factor 84*y**3 + 0*y + z*y**5 - 65*y**4 + 5*y + 3*y - 3*y**4 - 44*y**2.\nAnswer: 4*y*(y - 1)**3*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 2, z: 1, y: 5, a: 1, j: 2}. Give prob of picking 1 j, 1 a, and 1 x.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**2 - 7*j + 2. Is 30 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 450 + -434. Let u(y) = 2*y**2 - 4*y - 1. Let g(i) = i**2 + 4*i - 6. Let w be g(-6). Calculate the remainder when u(w) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57\/2 + -24. What is the common denominator of c and 85\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((2*(-27)\/12)\/3). Let h = -16 - -31\/2. Which is the closest to d? (a) h (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -444, 393, -4, 3\/2 in descending order.\nAnswer: 393, 3\/2, -4, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1751261 - 7951261. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -8, 1, 10, 19, 28?\n\"Answer: 9*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272.7 + -246.8. Sort 0, 4, a in descending order.\nAnswer: a, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*680\/12. Let x = 40 + y. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(5175\/92))\/(1\/10*4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 7 + 0 + 3 - f. Let a be m(-3). Suppose -3*d + 5*d - a = 0. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/7*i**2 - 6\/7*i - 6\/7*i**3 + 0.\nAnswer: -3*i*(i + 2)*(2*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9072*o**3 - 6*o**2 + 153*o - 1. Let y(p) = 32*p**3 - p**2 - 1. Let m(v) = 6*y(v) - z(v). What is the second derivative of m(w) wrt w?\nAnswer: 55584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 4, v: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/7584755 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -562, -553, -528, -481, -406?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/15 - 2386*l\/15 = 0.\nAnswer: -1193, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -16. Suppose -21*s + 266 = -35*s. Let k = f - s. Which is bigger: -7\/3 or k?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410026 and 2802.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.1. Suppose -729 = 356*v - 2153. Which is the nearest to p? (a) -1 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -0.9. Let h = 27.8 - 4.8. Let g = h + -24. Which is the nearest to 0.1? (a) 0.3 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.196 in 3, -7198, -1\/3, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 96 - -8?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10787, -1, -4, 1, 46 in descending order.\nAnswer: 10787, 46, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6174 and 1940?\nAnswer: 5988780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**(-3\/10)*a)))\/(a\/(a*a*(a\/(a*a**(-4\/9)))\/a)) assuming a is positive.\nAnswer: a**(247\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - -5. What is the third derivative of h*w**5 + 9*w**2 - 13*w**5 - w**3 + w**3 wrt w?\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + (-1)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 44 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 7*z**2 + 12*z + 24. Let t be s(-7). Let u = -108 - t. Find the common denominator of (-2)\/(-4)*(-39)\/5 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7968*l*z**2 - 3*l*z - 2107*z wrt z.\nAnswer: -15936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from tctccggcg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1401 divide 672596283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/11)*u**(2\/19))\/((u*u**(2\/3))\/(u*u*u**2\/u*u))*u**2*u**(1\/3)*((u\/u**(2\/3))\/u)**(-17) assuming u is positive.\nAnswer: u**(3537\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Suppose 0 = -4*z + 2*z - 5*l + 69, 5*z - 260 = m*l. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*k + 153 = 0, 3*k - 145 = 3*s - 28. Let c = 7 - s. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-26))\/(50*(-2)\/8)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150*s**4 - 82.\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39010*c**2 - 285176775*c + 285176775*c.\nAnswer: 39010*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = y. Let z = 7 + -5. Let d = z - y. Solve -o + 20 = d*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*d - 7 + 123*d + 21 + 90*d + 7.\nAnswer: -2*d + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3263316057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.216 - 18.734. Let l = -15.018 - -15. Let t = l - k. What is t rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.1 + -17.1. What is the third biggest value in 2, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 10. Let i be o(7). Let q be i\/2*2 - -5. Is q >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233025 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1490 in -3, 96, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*m - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752 is divided by 47?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981412?\nAnswer: 2, 73, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14321883 divided by 14321883?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -112\/3889?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 648 = -186. Solve -151*c + l*c = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*6)\/(-3) - 0. Let z = a - -5. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 + 27 = -43*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -794*f + 799*f + 967000. What is f rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.04. Let d = -4.06 - p. Let z = d - -3.9. Which is the third smallest value? (a) z (b) -0.5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(-5 + sqrt(147) + 2*(sqrt(147) + 2 + sqrt(147)) + 0 + -1)**2.\nAnswer: -700*sqrt(3) + 18392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 1 - 3. Let r = 5 + c. Suppose 10 = 5*z, -r*z - 16 + 156 = 2*a. Calculate the greatest common divisor of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 159.4. Let q = 24.4 - o. What is the nearest to 1 in q, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**4 + 20*w**3 - 585*w**2 wrt w?\nAnswer: 48*w + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 247 and 1.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/27 + 148\/(-18). Suppose -3*i = 5*d + 24, -2*d + 3*i = 17 + 1. Let g = d - a. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4\/3 - 4942*z**3 + 562264*z**2\/3 - 1577120*z - 11830400\/3 = 0.\nAnswer: -2, 20, 14788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/8802 and 131\/495846.\nAnswer: 1487538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1208.25 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22629065, 22629064, 22629063, 22629062, 22629061?\n\"Answer: -q + 22629066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*c - 30. Calculate the highest common factor of 36 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*a - 3*h = -669*a + 79, -a - 3*h = -1 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -5 (c) 273\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.2 + 1.2. Let f = v + 5.6. Let n be 20\/11 - (3 + -1). Sort f, -5, n.\nAnswer: -5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/39)\/(1068\/4628).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 10*i. Let r(l) = 4*l**2 - 21*l + 58. Determine 2*d(p) - r(p).\nAnswer: -6*p**2 + p - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4074\/56 - (1 - (-2)\/(-8)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a - 1. Let z be x(-7). Suppose -4*r = -5*h - z, -3*r - 2*h + 22 = -4*h. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (-1 - (4 - -2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 452422631 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 233?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23218 by -6.\nAnswer: 11609\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.64 and 56231960197?\nAnswer: 56231960199.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/13, -2\/87, 2\/13, 115 in decreasing order.\nAnswer: 115, 0.5, 2\/13, -2\/87, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*z - 3 + 1 + 1 to the form v*z + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67905918371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5053506 divided by 6.\nAnswer: -842251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12437 (b) -1\/4 (c) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -107640, -215276, -322912, -430548?\n\"Answer: -107636*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 2079, 6967, 16455, 32067, 55327?\nAnswer: 87759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 - -40?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**7\/30 + b**5\/5 - 8*b**2. What is the third derivative of v(j) wrt j?\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3 - (-1134)\/486?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + 42\/4)\/(-5 - 1023\/(-204)). Calculate the highest common factor of o and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, -52633, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/13 - -113\/26. Put n, -2, -0.1, 1 in decreasing order.\nAnswer: n, 1, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*o - 20, 13 = 3*o - 5*z - 3. What is the second derivative of t**3 + 0*t**2 + 0*t**2 - o*t wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from zyzzyzyyzzv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 0*a)*(-1 + 0 + 3)*(1 - 3 + 4)*(0 + 2 - 5)*(a + a - a).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-190))\/(780\/1950)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*(1 - (-14)\/(-10)). What is the closest to -1\/2 in o, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/40900 and 69\/4090?\nAnswer: 40900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.5? (a) -3 (b) 2\/13 (c) 39\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -566157*a**5 + a**3 - 675673*a**2 wrt a?\nAnswer: -33969420*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002751499 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*s - 331, 3*q - 258 - 76 = -5*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 + 5450*t - 1485125 = 0.\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55560 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z + 2. Let n be b(-3). Suppose -4*x - x + n = 0. Suppose 0 = -3*g + 3*w + 198, 2*g = -g + x*w + 195. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-1)**2 + (sqrt(38)\/sqrt(2) + sqrt(19))*5.\nAnswer: 10*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*m + 5. Suppose -4*z = -z - 4*f - m, z = -5*f + 2. Suppose 7*n = z*n + 20. Solve 0 = -n*a - i - 7, 9*i - 4*i - 37 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/744? (a) 3\/5 (b) 0.03 (c) -1 (d) 3\/40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2563 - 2562.949936. Let h = 1 - 0.95. Let g = h - j. What is g rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*((-6)\/(-7))\/(1500\/280).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/3450 and 41\/18?\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3517402, 7034797, 10552192, 14069587, 17586982, 21104377?\n\"Answer: 3517395*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnoo. Give prob of sequence on.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + i + 19, -2*w - i = -5*i - 46. Let o = 63 + -64.5. Let g = 1.4 + o. Is w at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 120 from 0.5.\nAnswer: -119.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 17. Suppose b - y = -b. What is the lowest common multiple of b and (120\/(-35))\/(2\/(-7))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -23.52.\nAnswer: -22.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3418 divide 1738152431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -21. Suppose -2*b + p = 3*b. Round b to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -15*t**2 - 3*t - 4. Let g(s) = -7*s**2 - s - 2. Determine -13*g(j) + 6*v(j).\nAnswer: j**2 - 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*j - 3404 + 2943 = -9828. Which is the nearest to -4? (a) -3 (b) j (c) -0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1054 + 1775. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 294670\/29, -61.\nAnswer: -61, 0, 294670\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4474319 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5846 = 10*x - 5787, 5*n - 4*x = -3 + 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*s + 147 = 134, 2*s + 78 = 14*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/191620 and 29\/26.\nAnswer: 191620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-6)\/(10*(-176)\/(-80))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.3, 12, -4.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-187 - 137 - 88)*(5*l - 2*l - 2*l) to y*l + i and give y.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/381 and -101\/90?\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 16 + 56 = 0. Let b(o) = -4*o + 32. Let s be b(-7). What is the greatest common divisor of s and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a milligram in micrograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1354) + 3 + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 3:32 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, -2\/19, 75?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + 2*z**3 + 4*z**3 + (-3 - 11 + 6)*(3*z**3 - 4*z**3 + 2*z**3) - 4*z**3 + 0*z**3 + z**3 - 2*z**3 + z**3 + 2*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17*w**2. Let n(h) = 7*h - 6. Let g(y) = 6*y - 5. Let s(f) = 6*g(f) - 5*n(f). Determine z(s(m)).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 565 = -5*c, 113*y - 118*y - 5*c = 935. Which is smaller: -181 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/16 - 8\/(-20). Let l(x) be the second derivative of 0*x**3 + 0*x**4 + 0 - 5*x**2 - x + d*x**5. Differentiate l(h) wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 14. Solve v*p = 6*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 109224324.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-327)\/8393)\/((-2)\/11).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 210212?\nAnswer: -210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-1 + (-9 - -18))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -243 + 550. Calculate the remainder when r is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000448212 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 500*a**2. Let d(l) = 4*l**2 - 3*l. Let u(f) = 17*f**2 - 13*f. Let h(x) = 13*d(x) - 3*u(x). Determine s(h(j)).\nAnswer: 500*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14402?\nAnswer: 2, 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 34200000. Let c be o(0). Round c to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 171 = -13. Let n = 14 - x. Sort -1, n, 5.\nAnswer: -1, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - c - 24. Calculate the lowest common multiple of 9 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 37*w + 94. Determine j(-8).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655 is divided by 59.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1069 - 366. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 6 = -5*n, -3 = h. Solve n*g = -6 - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -152465?\nAnswer: -152465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.26764 millennia in decades?\nAnswer: 2926.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17150\/280 - 61)\/((-22)\/24).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -224, -535, -850, -1169, -1492, -1819?\n\"Answer: -2*x**2 - 305*x + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.1418nm to micrometers.\nAnswer: 0.4891418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6388 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 10*m - 3. Suppose -10 = 5*c - 7*c. What is the units digit of h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(20)\/sqrt(4)*3 + -4.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 - 3*v + 3. Let l be i(-4). Let a be -2 - ((-2)\/l - 4). Let p be (-3)\/5*-5*1. Solve p*k - 4*k = a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**3 - 2*g + 5*g - 3*g + 66*g**3.\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + (-96)\/(-9). Suppose -5*o + 5*n + 746 = l, -2*n = 3*o - 426. Suppose 5*b - g - g = 692, 0 = b + g - o. Round b to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 8, v: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1000161 + -2.1. What is x rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/638?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8)*1*-60. Suppose 3*f + 6 = 0, -5*w + 7*f = 2*f + s. Let m = w + 30. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -74, 1.8, 11\/3, 3\/5 in ascending order.\nAnswer: -74, -51, 3\/5, 1.8, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 17*y + 16*y = 6, 6 = 4*b - y. Solve b = 33*v + 101 - 266 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*5\/(-15)*82\/369?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320584 is divided by 930.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4\/3 (b) 2532440 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 379. Let x = -349 + j. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and 0.21.\nAnswer: 8.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -41.79. Let l = -0.21 - s. Let i be (-3)\/5*5\/15. What is the closest to 1 in i, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 97, 15, 8 in descending order.\nAnswer: 97, 15, 8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 85 + 100)*(16*k - 17*k - 18*k).\nAnswer: 646*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**2 + 7*s**2 - 2*s**2)*(-86*s - 5681 + 5681) to o*s**2 + n + b*s + t*s**3 and give t.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-23)\/a*a**(-1\/5))**(-1\/8) assuming a is positive.\nAnswer: a**(121\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204 + -106. Suppose 0 = -4*b - 4*s + 3*s + 73, -5*b + s + y = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000566579767 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqqqqbqqqqqqqbqqbbq. What is prob of picking 4 q?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21059 or 21058?\nAnswer: 21059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 14. Let f be o(-6). Let k be 0 + (-43)\/(-6)*-2. Let s = -14 - k. What is the closest to 1\/2 in -1\/3, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1 + 4)*2\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058674 to five decimal places.\nAnswer: -0.00587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10227 - -0.026.\nAnswer: -10226.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2. Let a be b(0). Suppose a = -5*r + z + 183, 0 = 4*z - 3*z - 2. 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 18754 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 17*m**2 + 3*m. Let y = 41 + -23. Suppose 5*c = -y + 3. Let d(b) = 3*b**3 + 18*b**2 + 2*b. Let i(u) = c*d(u) + 2*v(u). Factor i(j).\nAnswer: -5*j**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9*v = -24. Is v - -20 - (0 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7*15\/(-35) - 97\/10 and 19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 581659983 by -193886661.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 6 = 5*l, 74*r + 3*l = 73*r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10841151, 10841125, 10841099, 10841073, 10841047?\n\"Answer: -26*o + 10841177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563\/(-25) - (1817 - 1920)?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753*f - 1575*f - 2398*f - 95499 = -1189*f for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 20410773?\nAnswer: 20411000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -4 (c) -10 (d) -3 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 0. Let x(a) = -3 - 21*a + 1 + a**3 + 13*a + 7*a**2. Let f be x(-8). Do f and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 36?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 43 = -34*y + 31*y, 0 = y + 3*t - 31 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3890 divided by 140830.\nAnswer: -389\/14083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -15, 2\/13, 258?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/5 + 6)\/((496 - 480) + (-62)\/4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + -7.3. Which is the closest to d? (a) -2 (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 - 4*r**2 - 6*r. Let w(f) = 3*f**3 + 5*f**2 + 5*f. Let t(l) = l**2 - 7*l - 39. Let k be t(-4). Determine k*w(v) + 4*u(v).\nAnswer: -v**3 + 9*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101222200 (base 3) to base 16.\nAnswer: aef36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 287\/3?\nAnswer: 287\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 43, 3, 187, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22033 and -365820.\nAnswer: -387853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.19 - -28733266418.\nAnswer: 28733266420.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -713, -1438, -2495, -3878, -5581?\nAnswer: -7598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-1454)\/(-10) + (8\/5 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1778, -1780, -1784, -1790?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -452\/7. Let v = -0.3 - -0.1. Let w = -6406\/14373 - -2\/1597. Which is the nearest to v? (a) w (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-24\/11)*p))\/(p*p*p**(-3\/20)*p*p) assuming p is positive.\nAnswer: p**(-367\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 521706 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6079, 24101, 53759, 94741, 146735, 209429, 282511?\n\"Answer: -52*l**3 + 6130*l**2 - 4*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o + 6. Let n = 0 + o. Let m(t) = t**3 + 4*t**2 + 4*t. Let v be m(-3). Sort v, 2, n in increasing order.\nAnswer: v, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-1*((-20)\/5)\/36?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -1287917575?\nAnswer: 1287917569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 3*o + 0*o - 2*o - 2. Let n be t(-6). Is (n\/3 - -3)*435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244062 - 25664?\nAnswer: 215065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*f - 2)*(0 - 1 + 2) + (-1 + 3 + 0)*(f + 0*f - 2*f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*p - 5*p**2 - 102*p - 88*p - 86*p - 32.\nAnswer: -5*p**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 25*x**2 + 45*x + 10. Let i be m(14). What is i rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/41 (b) -4 (c) 25 (d) -1\/64 (e) 3 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 24, -15, -92, -219, -408?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = 2*d - 46, 0 = 3*d + 5*w - 65. Let m = d - 19. What are the prime factors of 0 + 98 - m\/2?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 418082?\nAnswer: 4180.82","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 1 + 331*n**4 + 3*n**3 - 329*n**4 + n - 1 as h*n**4 + z*n**3 + g*n + o + d*n**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (3 - (2 - 3)) + (4 - 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10713485 from 1.65.\nAnswer: -10713483.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102122 (base 3) in base 2?\nAnswer: 10000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 669275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -411 + 207 - j**3 - j + 207 - j**4 - 5*j**2 in the form h + u*j + n*j**4 + l*j**3 + c*j**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 17*g + 25. Calculate the remainder when 32 is divided by s(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*a + 3, 6 = 2*a + 4. Suppose -2*d - 10 + 24 = t. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88.85700895 + 0.14378105. Let g = 0.157 + 88.843. Let m = g - a. What is m rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -102, -329, -692, -1203, -1874, -2717, -3744?\n\"Answer: -2*g**3 - 56*g**2 - 45*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -25557?\nAnswer: 4\/25557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289865?\nAnswer: 5, 57973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6224010 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 11*b**6\/720 + b**4\/4 - 20*b**2. Let a(l) be the second derivative of n(l). Let w(t) = 2*t**2. What is a(w(z))?\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 57473?\nAnswer: 57473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160 divided by 5?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13544809 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465 = 8*q - 7*q. Let t = q + -58. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*v = 332, 5*v + 186 = -5*h + 1796. What is the remainder when (-300)\/(-5) - 3 - 4 is divided by (2\/6)\/(4\/h)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0 = -10. Solve -4*u = n - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 11. Let t be u(-7). Let o be (-2976)\/(-33) + t\/(-22). Suppose 19*q - o = 14*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, j: 15}. Give prob of sequence jwj.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.368953 rounded to three decimal places?\nAnswer: -2.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8136 and 2712?\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Let s(p) = -8*p**3 - 3*p**2 + 9. Let q(h) = 8*h**3 + 3*h**2 - 8. Let z(a) = 6*q(a) + 5*s(a). Is z(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 12. Let q(n) = -n**3 - 14*n**2 - 8*n - 12. Let w be q(r). Let j = w + 1425\/7. Find the common denominator of 11\/7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 5*m. Suppose 3*r - 7057 = -7048. Give d(r).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 6. Let o be s(-8). Suppose 3*v + 8 = o*v. Let i(n) = 2*n**2 + 9*n + 12. Is 17 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 12*q + 10. Let a be d(-11). Let s(i) = -36 + 2*i + 21 + 14. Let k be s(a). Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 90 = 84 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12189878*g**2 - 12835*g + 362.\nAnswer: -24379756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/5)*d*d**(-3\/11)*(d**1)**(40\/3) assuming d is positive.\nAnswer: d**(2353\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(720) + sqrt(720)*-1)*1 - -4*(((-1 + sqrt(720) + sqrt(720))*-6)**2 + (-5*(1 + sqrt(720)))**2)) + 4.\nAnswer: -4512*sqrt(5) + 486968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -59542.4729+0.2\nAnswer: -59542.2729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -583*o**4\/4 + 10*o**2 + 16*o - 82. What is the second derivative of s(y) wrt y?\nAnswer: -3498*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -48000*t**2. Let r(h) = -8*h**2. Determine d(r(s)).\nAnswer: -3072000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 837959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0*s**2 + 1\/20*s**5 - 1\/6*s**3 - s + 0 + 0*s**4. Find the second derivative of y(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38340000 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2148 and -1\/2360428.\nAnswer: 1267549836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 426 = -5*w, -w + 70*f + 48*f - 284 = -5*w + 114*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73.7901 + -208.2335. Let c = u + 282. Round c to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.35 in 65, 2\/11, -3, 1\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 361 and 1748.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + 13\/(-21). Sort s, -5, -1\/4 in increasing order.\nAnswer: -5, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.84797 nanoseconds in seconds?\nAnswer: 0.00000000684797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9698 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 1, s: 6, f: 3, r: 2, o: 2}. Give prob of picking 1 u and 1 t.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9 = -w. Suppose 3*r - 16 = -4, -l + 53 = w*r. What is the smallest common multiple of l and 11?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**3 - 3*g**2 - 9*g - 22. Let r(b) = -6*b**3 - 5*b**2 - 14*b - 33. What is -5*r(p) + 8*x(p)?\nAnswer: -2*p**3 + p**2 - 2*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/10)\/(49\/(-10) + 5). Suppose 36*r = 34*r - t. Which is the second smallest value? (a) -12 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1139, -1, 2\/7, -29.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 328, -1101 in increasing order.\nAnswer: -1101, 12, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33468465 divided by 5?\nAnswer: 6693693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2787843, -5575647, -8363451?\nAnswer: -11151255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -123\/65567?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 19 - (-16)\/(-6 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*i + 17*i + 9*i)*(2*i + 7*i + 4*i).\nAnswer: -312*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 309360 = -9*u + 8*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24897 and 10191?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-280)\/(-16))*2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2)*u*u*u**(2\/23))\/(u**(-3\/7)\/(u*(u\/(u**14*u)*u)\/u)))**(2\/23) assuming u is positive.\nAnswer: u**(-2893\/3703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -5*t**4\/2 - 135*t + 719. What is the derivative of a(y) wrt y?\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-763.\nAnswer: 152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/8*32\/(-40). Solve -2*d = -0*d - h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10801, -21469, -32119, -42745, -53341, -63901?\nAnswer: -74419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - (-21 - -1 - (764 + -780)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 432 or 13207?\nAnswer: 13207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52*((-1)\/25 - 0) + 2. Let g = 58\/3 - 19. Let o = -0.204 - 0.096. Which is the third smallest value? (a) 1\/4 (b) x (c) o (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1 = 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:40 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3060, -3314, -3568, -3822?\n\"Answer: -254*r - 2806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 8*g - 10. Let q be x(7). Let v be (-25)\/q*(127 + -1). What is v rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*f + 4*x, -4*f + 0*x = -x - 47. Suppose -28 = -3*m - f. Which is greater: m or 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193 and 26441?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/105 bigger than -11696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/198 and 203\/330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141906230*s**3 - 14548933*s**2 + s - 1 wrt s?\nAnswer: -851437380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.23, 0.041341, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(50) + sqrt(50))\/((-1*sqrt(160) - sqrt(160)) + sqrt(160) + sqrt(10)).\nAnswer: -11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 1, j: 3, z: 2}. What is prob of sequence jj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8418 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1326 and 436633899.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -149 (c) -1 (d) -1\/28 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2756 less than -2753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*r + 16035 - 16256 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/69 in 0.02, -2\/11, -1, 1\/11, 83?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let a(y) = 3915*y - 7825*y + 3916*y - 4. Calculate a(c) - 3*t(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -43 + 1873 + -1701?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + (-7470)\/(-414) - (-2)\/138*-3?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/135*((-3)\/6*-18 - (-20349)\/(-2244)).\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) 36\/11 (c) -31 (d) 111.4 (e) -5 (f) 5 (g) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2077*u - 3*u**2 - 2077*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5 - 6)*(-245*o**3 + 84*o**4 + 245*o**3) in the form v*o**2 + j*o + l*o**3 + k + t*o**4 and give t.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9631.503 millennia?\nAnswer: 963150.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 2\/4)*2. Suppose 0*i - 25 = -d*o + i, -i + 31 = 4*o. Solve 0 = 3*b - 2 + o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*p**2 - 389*p**2 + 89*p**2.\nAnswer: -181*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eelllfemedeg. Give prob of picking 1 d and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-21))\/(-38*(-31)\/32984)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40515, 81115, 121737, 162393, 203095?\n\"Answer: 2*h**3 - h**2 + 40589*h - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -19.9. Suppose 8 + 2 = 5*b. Let y be 1\/3*(-9)\/b. What is the nearest to g in y, -3\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227273*m**4 + 262367*m**2?\nAnswer: 5454552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261 - 80. Let p = -343 - v. Is 3.8 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -968\/7 + 9\/7*r**4 - 1375\/7*r + 3\/7*r**3 - 59*r**2 = 0.\nAnswer: -11\/3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68*140\/336)\/(165\/396).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 666*z + 662 = -466*z - 470. Let a(j) = j. Let b(g) = -g**2 + g - 1. Let q(u) = 3*a(u) - b(u). Calculate q(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904343.1 months to centuries.\nAnswer: 753.61925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400 is divided by 793.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2807)\/1604)\/(60\/440*1\/(-6)*1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 5. Let f be z(5). Suppose f = 5*w - 0*w - 75. Let m be (w\/9)\/(2\/12). Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 5*n + n - n + 1 - 1 + (7*n - 3*n - 2*n)*(2 - 3 + 2) - n - 1 + 1 + 0*n + 0*n + 2*n)*(-n + n + n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000010110 - -10?\nAnswer: 11101000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 253055 or 5.8?\nAnswer: 253055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -953 - -1007. What is the common denominator of 55\/49 and (x\/243)\/(507\/141 - 3)?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 987334, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2251, -4512, -6787, -9082, -11403?\n\"Answer: -l**3 - l**2 - 2251*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*s = -7, 0*w - 7 = w + 2*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -25, -25, -23?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)*s*s**3)**(-3\/19))**(-7\/6) assuming s is positive.\nAnswer: s**(63\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1940b12b - -5?\nAnswer: 1940b132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*c + 15 = 0, -5*p + 0 - 15 = -5*c. Let y(l) = -3*l - 4. Let w be y(p). Suppose 4 = w*h - h. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6419 - 6414. Let f = -3.1 + 3. Let z(h) = h**3 - 5*h**2 + 2*h - 2. Let q be z(5). What is the closest to q in 0.4, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95029783 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2305, 2294, 2257, 2176, 2033?\n\"Answer: -3*l**3 + 5*l**2 - 5*l + 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 790199703 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u - 3*u)*((-2*u + 4*u - 3*u)*(-2*u - 3 + 3) - 65 - u**2 + 60 + 5*u**2) as n*u**3 + s*u + t*u**2 + o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8975591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - 3 - 8*a + 9*a.\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 248975 (base 14) in base 16?\nAnswer: 131f0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r**2. Let b = 11 + -9. Let s(p) = -7*p**2 + 10*p**2 - b*p**2. Calculate v(s(y)).\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 530*f - 161. List the prime factors of t(3).\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x + 12. Suppose 135 = 7*y - x*y. Solve -g = d - 0 - 1, 0 = 5*g - 5*d - y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 2*s + 1. Let w be z(1). Let v be 0\/(5\/(-20)*w). Suppose 4*y - 24 = -3*l - 0, v = -l - 4. Solve -y = -o + 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 8. Let q(t) = -t + 7. Let l(f) = -5*q(f) - 4*r(f). Let b be l(4). Let w = 1 + -2. What is the closest to w in -2, 1\/3, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/15 - (-6)\/(-5). Let y = x + 6. Let n be 80\/(11\/(66\/12)). What is the highest common divisor of n and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*s - 3*s**2 - 546*s + 63*s + 78*s + 229*s + 38*s + 71*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6229 - 56255\/9. Does q = -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8478*p**4 + p**3 - 37 + 12 + 8476*p**4 + 2*p as q*p**3 + g + j*p + u*p**2 + f*p**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 3}. Give prob of sequence hdhd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -562.30457 to the nearest integer.\nAnswer: -562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) - 2\/7. Let n be 4 - (4\/128*8 - 3531\/(-948)). Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401156416 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: Convert -3522 (base 6) to base 11.\nAnswer: -6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166 - -170. Suppose y*n = -2*w + 3138, 9*n - 5*n = 2*w + 3158. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 37*a + 40*a - 2 as q + o*a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0*l + 10 - l + 3*l. Let s be (1 - 1)\/(6 + -7). Is a(s) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275 (base 10) to base 3.\nAnswer: 101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*l = -77*l - 102 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056803261 rounded to seven decimal places?\nAnswer: 0.0056803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/420 + i**4\/168 + 2*i**3\/7 + 14*i**2 + 1. Determine w so that r(w) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-567*i**2 - 380350*i + 380350*i)*(-2*i + 1 - 1)*(2 + 2 + 2) in the form p*i**3 + c + z*i + h*i**2 and give p.\nAnswer: 6804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 70. Solve -2*l = -6 - w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: af595c (base 16) to base 7\nAnswer: 166451300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*g + 22*g - 2*g**2 - 11*g**3 + 21*g + 17*g - 2*g**4 to the form u*g + a*g**3 + b*g**4 + x*g**2 + o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -7*f**5\/20 - 5*f**2\/2 + 27. Let l(i) be the second derivative of o(i). Let z(m) = -3*m + 0*m + m. Give l(z(a)).\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10238*n**3 - 3311*n**3 + 2762*n**3.\nAnswer: -10787*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -9920*j**3\/3 + 1943*j**2 - 9954. Find the second derivative of k(h) wrt h.\nAnswer: -19840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - (-3669000)\/460) + (-4)\/46.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8)\/(a*a*a**14*a*a*a)*(a*a*a\/(a\/(((a*a*a**3*a)\/a)\/a*a*a)*a))**(1\/68))**(-9\/5) assuming a is positive.\nAnswer: a**(22977\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 5, -128, 4 in decreasing order.\nAnswer: 5, 4, -1, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 81\/26, 0.4, -5, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/((-4)\/(-8)). Calculate the remainder when (y - (2 + 0))*-54 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.75138468 rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.81 - 8.81577. What is k rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n = 47*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*-2*207\/(-2). Let u = -65 + c. Suppose q + u*m - 58 = -q, 0 = 4*q - 4*m - 104. What is the greatest common factor of 216 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1465.2 - 1465.217817. Round b to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66439 is divided by 1088.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 15 = -2*i - 1, 0 = 3*c + 6. Suppose -4*r - 5*h + 11 = -0*h, i*r - 8 = -4*h. Suppose -4*w + 13 - 1 = 0. Put w, r, 2 in ascending order.\nAnswer: 2, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 100 = -15*v. Suppose -2*z + 16 = 2*n, v = 5*z + 5*n - 4*n. Let o(t) be the third derivative of -t**4\/24 + 7*t**3\/6 + t**2. Calculate o(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - 22*l - 14. Suppose 33 = 5*m - 2. Let x(g) = -g**2 + 7*g + 5. Let j(h) = m*x(h) + 2*o(h). Is j(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**2 - 5. Let w(y) = 11*y - 96. Let n(d) = 2*d - 16. Let t(s) = -6*n(s) + w(s). What is t(q(g))?\nAnswer: -6*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -900 - -900. Let c = -161 - -160.8. What is the second biggest value in 41, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*s + 115, -69 = -5*k - 2*s + 74. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - -2*(-2)\/(-2). Let y(f) = -f**3 - 4*f**2 + 12*f + 4. Let c be y(s). Suppose -70 = -2*w + c*n, -w + 3*n = 5*n - 15. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*-7 - (-2 - 0). Let r be -1*3*x\/5. Solve 3*v - 4*f + 35 = 0, -2*v + 5*f - r = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 1\/2, -4, 0 in increasing order.\nAnswer: -5, -4, 0, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 7:31 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(-z + 2*z + 0*z + (-1 + 0 + 3)*(2*z - 3*z + 3*z)).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1161766.549?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57834, -115674, -173514, -231354?\n\"Answer: -57840*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffqfqqqff. What is prob of sequence qfff?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*o + 68*b - 2*o + 45 wrt b?\nAnswer: 2*o + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 37752355?\nAnswer: 37752357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(280) - (sqrt(280)*-2 + sqrt(280)))*5)\/(5*sqrt(160)))\/((-2*sqrt(28)*-6)\/(sqrt(7) - sqrt(7)*-1*1)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 8. Let y be ((-90)\/(-21))\/(-6) - -1. Which is the biggest value? (a) y (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**3 + 5011*c**2 - 749635*c + 124800.\nAnswer: -(c - 640)*(c - 195)*(6*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3\/22))**6\/(f**1\/f*(f*f\/(f\/f**(-17\/3)))\/f) assuming f is positive.\nAnswer: f**(358\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 6. Let o be h(-2). Let r be (-1)\/2*o - -4. Let u(c) = r*c - c + 2 - 7*c. What is u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:36 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d + 2*d + d)*(-676*d + 335*d + 333*d + 3) to l + t*d**2 + z*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0 + 0*b**3 - 1\/12*b**4 + 3\/20*b**5 + 0*b**2 + 2*b. Find the third derivative of v(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, -72, -594, -1710, -3618?\n\"Answer: -33*r**3 + 105*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {y: 1, i: 1, l: 2, a: 2, h: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3215 - 3179. Calculate the least common multiple of w and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117021 and 55929?\nAnswer: 2181622503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -12. Suppose -5*d - o = -1. Let h(a) = a**2 + 13*a + 7. Let u be h(-12). Let l(i) = -2*i**2 - 5*i + 3. Let p(v) = v - 1. What is d*l(q) + u*p(q)?\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4053636 (base 7) in base 15?\nAnswer: 985d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1671945 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 87, -3\/5, 1, -3 in descending order.\nAnswer: 87, 5, 1, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/1214225 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(85) + sqrt(85) + (sqrt(85) + -2*sqrt(85)*1 + sqrt(85) - sqrt(85)))\/(((2*sqrt(175))\/sqrt(7))\/sqrt(5)*1).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8979897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 460 + -10432?\nAnswer: -7752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/40)\/((15\/3)\/(-35)*-3).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84687 is divided by 16657.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*f = 218 + 12, -5*f - 504 = 4*b. Let r = 41 + 27. Let a = b + r. Which is smaller: a or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2379.158?\nAnswer: -1189.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-16) + (-78)\/8. Let o be p\/(-4) + (-1)\/2. Let m = o + 0. Solve -4*g + 4*h + 12 = 0, -2*g - m*h = -5*h - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-56 - 6190*g + 12364*g - 6190*g).\nAnswer: -16*g - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (1 - -1)\/(-2). Let z(s) = -7*s - 290. Let v be z(-40). Let i be ((-120)\/144)\/(v\/6). Which is the third smallest value? (a) n (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/2 - 192*q**3 + 43815*q**2\/2 - 628150*q - 650250 = 0 for q.\nAnswer: -1, 45, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 5)*(-3*h - 2*h + 2*h) - 2*h + 3*h + 0*h)*(-2*h + 2*h + 4*h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6024678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 40*h + 37 = 37*h, -5*c + h + 60 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*624\/(-1092)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -109, 3, -0.26, -2?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 1154340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*h**2 + 2*h + 11*h**2 - 4*h + (-2*h + 0*h + 0*h)*(2 - 2 - h) to s*h**2 + m*h + c and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, 0.2, 4.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 374\/(-264)*(-684)\/(-228)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 101, 48, -5, -58, -111?\n\"Answer: -53*s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 16195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 382*m**5 - 453*m wrt m.\nAnswer: 7640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/34 in -5597, 1\/2, 4, 6, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 11 = -4*q. Suppose 5*d + 31 = -5*l + 81, 2*l = 2*d. What is the second derivative of 6*u**5 - q*u**5 - 24*u**5 + 20*u + 0*u**d wrt u?\nAnswer: -560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 13*o + 146. List the prime factors of n(15).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*h + 12 = 2*h, 0 = 4*m - 5*h - 26. Solve m*i + 2 = 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 + 3*i**2 + 7. Let j be u(-4). Let n = 390 + j. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 365 - 364. Let i(t) = 15*t**3 - 2*t**2 + 2*t - 1. What is i(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 32 = -6*m. Let c be (m\/12)\/((-12)\/(-27)). Suppose -46 = 2*i - c*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {o: 4, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -558.18573?\nAnswer: -1116.37146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + 28 + -29\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/3*(1 + 0). Let k = c + 6. Let y(s) = 3*s**2 + 1. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -5931577?\nAnswer: -5931577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6684, 6717, 6762, 6825, 6912?\nAnswer: 7029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6883, 14179, 21883, 29995, 38515, 47443?\nAnswer: 56779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1396100.9734 to the nearest 10.\nAnswer: 1396100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 172*p**2 - 107*p + 420. Is 4 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -31, 2, -3\/5, 0.3, 0.216?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -6, -4, -2, 0?\n\"Answer: 2*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/((-10)\/(-4))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 9*c - 4. Let w be m(-9). Let z be (w\/27)\/((-6)\/(-9)). Let k be 1\/(-2)*2\/(-4). Put z, 3, k in decreasing order.\nAnswer: 3, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1753.514l?\nAnswer: 1753514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 460214?\nAnswer: -460162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 34, -1\/6, 0.3, -1\/2, -143?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 17*m + 88. Give y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, 3, -1, -2, -217 in increasing order.\nAnswer: -217, -2, -1, 3, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4 - 6*h**3 - 24*h**2 + 40*h + 96 = 0. Calculate h.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2243485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -11, -40, -101, -206, -367, -596, -905?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 48447 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 10*t + 6. Let a be m(-10). Suppose x + 23 = 4*u, -4*x = 4*u - a*x - 26. Put 1, u, -1 in descending order.\nAnswer: u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-251520)\/58688)\/((-45)\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4 + 19. Suppose z*x = -7 + 17. What is the third derivative of -9*s - x*s**3 - 3*s**2 + 9*s wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -701 + 700.5. Which is the nearest to 3? (a) -11 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5462 is divided by 891.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 7*r**2 + 10*r + 3. Let s be y(8). Suppose 23 = 3*d - s. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/76*(-296)\/333*6\/20.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*l**2 - 167*l**4 - 3*l**3 - 2*l - 71*l**2 + 169*l**4 to a*l**2 + g*l + i*l**4 + w*l**3 + m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**4 + 10*y**3 - 15*y**2 - 40*y + 44 = 0.\nAnswer: -11, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7441, 9723, 38329, 78377, 129867, 192799?\n\"Answer: 5721*m**2 + m - 13163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94049, 96512, 98975, 101438, 103901, 106364?\nAnswer: 108827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) - (sqrt(17) - sqrt(68)\/sqrt(4)))**2 + sqrt(68) + -1 + (2*sqrt(425))**2 + sqrt(119)\/sqrt(112).\nAnswer: 9*sqrt(17)\/4 + 1767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20092391047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 20*v - 112. Let t be q(25). Suppose -3*j + 4*l - 3 = -t, -5*l + 3 = 4*j. What is the greatest common divisor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 + 7*x - 4. Let v = -16 + 31. Suppose 0*w - 5*w = -v. Let n(z) = 8 + 9*z**2 - 13*z - 4 + w. What is 6*n(c) + 11*p(c)?\nAnswer: -c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-35) + 610\/(-630).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295603 is divided by 42223.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -55*n + 1\/6*n**4 + 0*n**3 + 0 + 0*n**2. Let s(r) = -4*r + 4*r - 2*r. What is o(s(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 7. Let z be w(9). Let u = z + -2. Suppose m = -u*m. Which is smaller: m or 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*l + 175*l + 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -126, -221, -318, -417?\n\"Answer: -t**2 - 92*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 2:25 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 40 = 5*u, k - 176*u = -177*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*o - 2*j, 7*o = 123*j - 128*j - 44 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 14. Let c be (-1*(-1)\/2)\/((-27)\/(-702)). Let t be h(c). Let u(n) = 2*n - 4. Let j be u(4). What is the third biggest value in j, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25518 + -101545\/4. Is 133 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-9)\/72*-2*22\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 25*f**2 + 13359*f + 13382. Calculate h(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 30. Let b be 19\/(-1) - (-1 - (-9)\/(-3)). Let a be q(b). Solve a = -7*w + 2*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 minus 67889?\nAnswer: -67911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/1023 and 17\/18.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7198*q + 8 - 7198*q + 6*q**2)*(-4*q**3 - 2*q**3 + 4*q**3).\nAnswer: -12*q**5 - 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4470341 or -4470338?\nAnswer: -4470341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -782.89 to the nearest 10.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 9*a + 10. Let l be q(-8). Suppose 136 = -y + 3*y - b, -3*y = b - l. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/((-3)\/30). Let o(p) = 4*p**2 + 1 + p - p**3 - 3*p**2 - z*p**2 - 3*p. Give o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - 6\/(-7))\/(4\/(-98)). Suppose o = -5*x + 136. Calculate the least common multiple of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 6*k**2 + 2*k + 1. Let p be n(-6). Let w be (-36 - (-4)\/(-2))\/(-2). Let x = w + p. What is the smallest common multiple of 7 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 3*a + 15, 3*a + 6 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/1806 and 113\/4650.\nAnswer: 1399650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 24 = 3*s, -7*k + 24 = 4*s - 3*k. Suppose -3*u + 2*f = 0, f = 2*u + u - s. Suppose z = -1, 4*o - z - u*z = 427. List the prime factors of o.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by -2051.\nAnswer: -85\/2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6920607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 50.74. Let y = r - 18.34. Let d = 17 + y. Round d to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 69*r - 72*r, 2*l - 153 = -3*r. Solve l + 123 = -64*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631574?\nAnswer: 2, 3, 7, 23, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66141 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1782875 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34731, 69521, 104311, 139101, 173891?\n\"Answer: 34790*z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b - 50. Calculate r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(1573) + -3 + -3)**2 - (4 + (-1 + (sqrt(1573) - (sqrt(1573) + 3 + sqrt(1573))) + 2)**2).\nAnswer: -6375 + 286*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 424*x - 604. Let c be l(2). What is the closest to 1\/3 in -0.5, -1, 7, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -79. Suppose 281 = p*a + 41. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1 + x**2 + 5*x + x**2 + 0*x**2. Let m = 464 + -465. Let d(j) = -16 + 9 + j + 7. Determine m*u(o) + 5*d(o).\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4\/7 - 27*p**3\/7 - 4491*p**2 + 62943*p\/7 - 31482\/7 = 0.\nAnswer: -99, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(7\/4)*c*c*c\/(c\/((c*c**(1\/3)\/c*c)\/c*c)*c))**(-9)*(c**(2\/5)*(((c*c*c\/(c*c**6))\/c)\/c)\/c)\/(c**(2\/11)\/(c\/c**(-1\/2))) assuming c is positive.\nAnswer: c**(-9247\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 0*d**3 + d + d**3 - 2 - 2*d**3. Let r be s(3). What is the units digit of (60\/(-18))\/(r\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 6*a = -931. Suppose -j + l - 9 = 0, 0 = j - 2*l + 3 + 3. Let z = j - -38. Calculate the remainder when a is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3702*j - 3122*j = 1225*j + 579528 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 898378 or 898268?\nAnswer: 898378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 6\/3)*3\/(-9). What is the second biggest value in 0.3, m, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 3\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 8:15 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -25*j + j. Let l(q) = q**2 - 21*q + 62. Calculate the least common multiple of l(18) and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54013 and 139.\nAnswer: 7507807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d**2 + 22*d + 135. Calculate the remainder when n(-5) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 765 and 57?\nAnswer: 14535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2048*g**2 + 18*g - 5649. Let k(l) = 4101*l**2 + 39*l - 11298. Let h(o) = 6*k(o) - 13*q(o). Find the first derivative of h(z) wrt z.\nAnswer: -4036*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 3*y + 2. Let t be d(-3). Suppose -52 = 2*f + t*v, 3*v = 4*f + 14 + 55. What are the prime factors of ((-9)\/2)\/(f\/210)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 31. Suppose 4*b = y - 2. Solve -3*t - z - 4 + 8 = 0, -4*z + 16 = b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3168) - (sqrt(3168) - 5*sqrt(3168)*2))*3)\/(sqrt(128) - (sqrt(128) - (sqrt(128) + sqrt(128)*2*6 + sqrt(128))) - (sqrt(128)*2*-6 + sqrt(128))).\nAnswer: 9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p - 7. Let x be u(-1). Suppose -4 = x*a + o, 2*a - o = -3 - 0. List the prime factors of (2\/10)\/a + (-9911)\/(-55).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-4))\/(a**(-21)*a))\/(a**(-1)*a**(2\/13)\/a) assuming a is positive.\nAnswer: a**(245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123834, 123844, 123854, 123864, 123874?\nAnswer: 123884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226109\/175 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 0.114 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12811307382 - 0\nAnswer: -12811307382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/163 (b) 0.5 (c) -3\/17 (d) 1 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -405\/1069 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*h = -8, 0 = -2*s + 2*h - h + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 2\/(-8)*0)\/(-4). Let z(b) = -6*b**3 + 23*b**2 - 6*b + 106. Let a(x) = x**3 + 2*x. Let p(o) = t*z(o) + 3*a(o). Differentiate p(l) wrt l.\nAnswer: -9*l**2 + 46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {c: 7, p: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-3 + 1)*2 - (5*sqrt(405))\/(sqrt(18)\/(sqrt(18) - sqrt(2)) - sqrt(9)))*4.\nAnswer: 8 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6085403*i**4 + 4499943*i**2.\nAnswer: -146049672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**4\/8 - 7*a**3\/6 - a**2. Let l(n) = -n**2 - 3*n + 7. Let w be l(-7). Let f = w - -26. Calculate h(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -2231670\nAnswer: -19\/2231670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-100)\/(-125))\/(4*(-2)\/(-40)). Solve 3*s = 3*f - 24, 9*f - a*f - 32 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 7*m**2. Let c be g(-7). Suppose c = 10*w - 8*w - 126. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r**2 - 2*r - 7. Let d(z) = -6*z + 1. Calculate the remainder when d(-2) is divided by v(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 480*i + 55*i**3 + 2642*i**2 - 260*i**4 - 3012*i**2 + 265*i**4.\nAnswer: 5*i*(i - 3)*(i - 2)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*a*p**2*r + 222674*a*p**2 + 228*a*r + 5*p*r wrt r?\nAnswer: -55*a*p**2 + 228*a + 5*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 - -74. Let d = f - -11. Let y = d - -50. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/19 - 12\/95. Let q = 3.3537 + -0.0537. Is q at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*j - 19, 6*j - h + 11 = 8*j. Solve 22 = -3*f + 2*o, -j*f + o - 5 = 4*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s + s**3 + s**2 - 7*s**2 + s**2 + 4. Let t(v) = 8*v - 2. Let x be t(1). What is the units digit of f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6*m = 57, s + 4*m + 17 = 3*m. Which is the closest to -28? (a) 0.1 (b) s (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 0*q**2 - 3*q**2 - 4*q**2 + 6*q**2. Let h(r) = 10*r**2. Let o(l) = l - 3. Let s be o(4). Determine s*h(x) + 12*p(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -58. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Suppose 3 = 4*i - a. Differentiate i + 0*o + 2 + 3*o wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -25*g**2. Let o(y) = -1184*y**2. What is q(o(i))?\nAnswer: -35046400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/3 - 8*a**4 + 12*a**3 + 136*a**2\/3 + 26*a = 0. What is a?\nAnswer: -13, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -103 + 199 + 977*m - 96 as z*m + j and give z.\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 107 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 73*f + 35*f + 74*f + 70 + 60*f - 242*f.\nAnswer: -3*f**2 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 16561?\nAnswer: 16560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 26572 = 210*n - 429*n - 828*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -119772 divided by -4436?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:37 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 67, 95?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0 = -8. Find the third derivative of -f**5 + 3*f**2 - g*f**2 + 4*f**5 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, x: 2}. What is prob of sequence xox?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832457 a multiple of 753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**4\/12 + 6*u. Let g(o) be the third derivative of o**4\/12 - o**3\/6 - 43*o**2 - 2. Give m(g(b)).\nAnswer: -4*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035943039 to four dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1298 = 2*h, -11*h - 4*j - 5176 = -19*h. Calculate the smallest common multiple of h and 5805.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c)\/(((c**(2\/5)*c*c)\/c*c*c)\/c))**30*(c**(-7)\/((c**(-2)*c)\/c))\/(((c*c**(-4\/3)*c)\/c)\/(((c\/((c\/c**1*c)\/c))\/c)\/c)) assuming c is positive.\nAnswer: c**(-323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013526095 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1286, -27, -11, -1 in decreasing order.\nAnswer: 1286, -1, -11, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421214688 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**3 + 57*j**2 + 563*j - 6446. Calculate k(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - 3.14. Let p = -4 + 7. Let s = p + j. Which is the smallest value? (a) -3 (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -264, -808, -1858, -3582, -6148, -9724?\nAnswer: -14478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, 36, 134, 292, 522, 836, 1246?\n\"Answer: 2*r**3 + 12*r**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -23, -37, -63, -107, -175, -273, -407?\n\"Answer: -i**3 + 3*i**2 - 10*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2385241 is divided by 744.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*p - 53. Let t be 372\/624 + 4\/26. Which is the fourth biggest value? (a) -0.5 (b) 0 (c) p (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -559 + 1041\/2. Let y = -283 - -320. Let o = w + y. Is o greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.47 in 5512, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -5\/4 (c) -6\/5 (d) -308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddldddldllddddddll. Give prob of sequence lld.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546095 is divided by 84?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 593 (b) -0.5 (c) 188 (d) 2\/11 (e) -0.3 (f) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 138 + 108 = 0. Suppose 5*y - p = 189. Let r = y + -4. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136945817*b**6 - 11083450*b**2?\nAnswer: -16433498040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(225) - -5*(sqrt(225) - -5*sqrt(225)))\/sqrt(5))\/((sqrt(27)*4*-3)\/sqrt(3)) + 3)**2.\nAnswer: 31*sqrt(5)\/6 + 4949\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2274, -2\/3, -3 in increasing order.\nAnswer: -3, -2\/3, 0.2274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349953698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 443517 by 753.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let b(x) be the second derivative of 0*x**2 + 0 - 16\/3*x**3 - 19*x. Give s(b(p)).\nAnswer: 2048*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (0 + -2 + 1 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6 - 1.6. Let j = 1.215 + 0.7994. Let a = j - w. What is a rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8771743*k**2*n - 318*k*n + k + 305*n - 1 wrt k?\nAnswer: -17543486*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 4. Let x = -14 + 11. Let i be b(x). Sort i, -1, -5.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*p**2 - 146*p**2 + 293*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 + 157. Let l = -62 + n. Which is the second biggest value? (a) l (b) 2\/3 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2072 and 79\/6216.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(-3 + (3 + sqrt(475) + sqrt(475) + 1)*6*-2)*4)**2.\nAnswer: -662882400 - 29376000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 51188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i - 774. What is the smallest common multiple of z(-39) and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2992530 and -14\/1496265?\nAnswer: 2992530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11725 and 119700.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 474 (base 12) to base 15\nAnswer: 2e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 1\/274*((-138174)\/36 + (-451)\/246)?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 26 (b) 0.0919 (c) 0.4 (d) -3 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*j + 5*q, 0*j - 5*q = j + 19. Let o = 197.8 + -198. Let z = 1 - 0.5. Which is the closest to -1? (a) o (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236 by 10115.\nAnswer: -236\/10115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*l - 72*l = -3088 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -16.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 12*c + 2. Calculate b(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1*5*-1)\/(-4*(sqrt(32)\/(sqrt(32)\/sqrt(4)) + sqrt(4))).\nAnswer: -5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11965.9 - -11966. Which is the nearest to j? (a) 328 (b) -1 (c) -3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/9)\/(-5 + 3). Let n = -4 + -1. Which is the closest to z? (a) n (b) 0.2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f + 22*f**3 - 7*f - f + 3*f - 62 wrt f?\nAnswer: 66*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10) + (sqrt(10) - (sqrt(110)*6)\/sqrt(11))).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t - 11*t - 8 + 176 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 261 - 270 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 5 (c) -12 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*r**3 - 91*r**3 + 50*r**3 - 138*r**3)*(-66 - 15*r**2 + 66).\nAnswer: 3525*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13\/5 (b) -75 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-976)\/244)\/((-12)\/1). Which is the nearest to 0.01? (a) -2\/5 (b) 0.4 (c) -3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11582)\/(-1 + 4 - 25\/5).\nAnswer: 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(-2)*(-210)\/(-120)*6\/(-14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.63 - -3.37. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841863888.\nAnswer: 2, 3, 1948759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let y be (-2)\/(-3)*(-3)\/(-2). Let x(s) = s + 1. Let r(w) = 4*w + 6. Let j(q) = y*r(q) - 6*x(q). Give m(j(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394776*i + 362194*i - 2 + 833641*i.\nAnswer: 801059*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.65 - 18. Let v = n - -0.05. What is the second biggest value in v, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.295?\nAnswer: -0.0885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9562583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 3250.\nAnswer: 29250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:51 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 - 31877157*x**2\/2 - 254038300539240*x - 508076537324168.\nAnswer: -(x + 2)*(x + 31877156)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 311*f**4\/6 + 11*f**3\/6 - f**2 - 483*f - 2. Find the second derivative of c(u) wrt u.\nAnswer: 1244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - sqrt(325)*4 - sqrt(117)*6)**2.\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-8)*80\/(-6). Let f(i) = -i**3 - 19*i**2 + 19*i - 14. Let x be f(g). Sort -4, x, -2.\nAnswer: -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a + 531. Calculate l(-37).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-8))\/1)\/(-2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*o + 2 = 0, -143*y - o = -146*y + 17. Let x be (1 + 1)\/(1\/8). Differentiate -4*w + x + y*w - 3*w with respect to w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010011110101110001 (base 2) to base 16\nAnswer: -d3d71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/9 + 1 + -3. Let t = 0.109 - 5.109. Let q = 5 + -2. Which is the closest to w? (a) t (b) q (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1365.716 + 1369. Let a = w - 3.2. What is a rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41621, -41624, -41627, -41630, -41633, -41636?\n\"Answer: -3*u - 41618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlwv when four letters picked without replacement from {v: 1, l: 3, w: 3, d: 3, t: 1}?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 3*y + 3*y)*(y + 2*y - y) + 3*y**2 - 3*y**2 - y**3 - 2*y - 4*y**3 + 2*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 6060. Let u be (y\/(-16) + -1)*1. Let c = 128 + u. Is 2 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.078*1752350\nAnswer: 136683.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 154*s**5\/5 + 719*s**4\/12 + s**2 + 969*s. Find the third derivative of w(t) wrt t.\nAnswer: 3696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((45\/(-6))\/((-3)\/(-4)))\/(-2). Suppose o + b - 8 = 0, -o - 5*b = -7*b - n. What is the greatest common divisor of 3 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39684833 is divided by 8035?\nAnswer: 8003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -81*u - 902. What is f(-12)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 26 and 182 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/7, 20 in increasing order.\nAnswer: -3\/7, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 19*h - 755. What are the prime factors of h?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23438 rounded to the nearest 100?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052599 litres in millilitres?\nAnswer: 5.2599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = 5*t. Suppose -t*r + 2*r = -2*l + 14, r - 8 = -2*l. Let k = 6 + -4. Calculate the highest common divisor of k and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 1. Let z(g) = -60*g**2 + 45. Let p(h) = 45*w(h) - z(h). Let d(m) = -m. Calculate p(d(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 15*j - 570. Suppose j = 6*f - 0*f. Suppose 0 = f*m - 25*m + 576. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 110*s**2 + 201*s - 692. What is the hundreds digit of d(-113)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564, 470, 364, 246?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 123. Suppose 2*d - p = -3*x, -5*d + 355 = x - 3*x. Suppose 0*g - 3*g + d = 0. What is g rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.28? (a) 0.2 (b) 6.5 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/7 (c) 2\/1029 (d) 0.5 (e) -1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2. Let h(n) = -638*n**2 - 3. Calculate q(h(p)).\nAnswer: 1221132*p**4 + 11484*p**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2508)\/1026)\/((-41)\/738).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c + 2*c)*(4*c + c - 4*c) + 5*c**2 - c**2 - 2*c**2 - 34*c**2 - 1 + 92*c**2 + 0.\nAnswer: 59*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.344*22.\nAnswer: 29.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.3 - -42.300599. What is o rounded to 5 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6723 and 1053?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*t + 1030. What are the prime factors of t?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -82. Which is the third biggest value? (a) -0.3 (b) -1.2 (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3680 + 3768 - 930 + 1016)*(-3*w + 3*w + w).\nAnswer: 7534*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/25208679 and -13\/68193.\nAnswer: 75626037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 6*b + 2. Let n be a(-7). Let c = -14 + n. Let s(q) = -q**3 - 5*q**2 + 2*q + 7. Calculate s(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/18 + 4\/18. Let o be (-4)\/(-2) + i + 3. Solve 3*g = 3*j + 18, o*g + 5*j + 6 = -16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617379 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 187 = -20*z + 2 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.7. Let w = -0.21 - -0.2. Let z = w + 0.31. Which is the nearest to v? (a) 0 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100101 + 101?\nAnswer: -101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 35 + y**2 - 48*y + 63*y - 51*y = 0.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 2*l**5 + 0*l**5 + (0*l**2 - l**2 - l**2)*(l**3 - 4*l**2 + 4*l**2) + 3*l**5 - 6*l**5 - l**5.\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2020 + 2020. What is the nearest to -2 in 1, 0.3, 7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993463999.\nAnswer: 11, 90314909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*j - 4559 + 4541 = 0, -13*w - 4*j - 90 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 - 2*d - 604. Let i(u) = u**2 - 40. Let j(c) = 15*i(c) - m(c). Let t(p) = 6*p**2 + 0*p + 0*p**2 + 2*p + 3. What is 3*j(n) - 4*t(n)?\nAnswer: -3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -5306005334.8\nAnswer: -5306005356.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + y + 6 + 19 = 0, 4*y - 32 = -2*f. Let n(m) = m**2 - 7*m + 4. Suppose -2*r + 25 = 9. Calculate the remainder when f is divided by n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4262000 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*x**2 - 993*x - 25*x**3 + 12*x**2 + 993*x wrt x?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376527787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 13*l**5\/2 + 89*l**4\/9 + 20*l**3\/9 - 8*l**2\/3 - 8*l. Solve q(i) = 0.\nAnswer: -2\/3, -2\/5, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76339 or 1?\nAnswer: 76339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 3. Let g(f) = 4*f + 13. Let j(x) = 6*g(x) + 26*p(x). Suppose -4*s - 1 = -5. Let y(c) = -2*c + s - 1. What is y(j(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 926?\nAnswer: 5556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -221220110 (base 3) to base 8\nAnswer: -44705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1142*q + 54924. Let r be f(48). Suppose -2*b = 2*b - 3*c - 55, -5*b = 3*c - 89. Calculate the highest common divisor of b and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2 + -2 + (-3402)\/(-2052).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**6\/120 + x**5\/30 + x**2 + 3. Let w(a) be the second derivative of h(a). Give w(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63.682 + -0.118. What is p rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*d - 15*d + 3 - 3 - 1292*d**2 to r*d**2 + z*d + h and give r.\nAnswer: -1292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let a = 177 + -183. Let m(n) = -6*n. Let l(u) = a*m(u) + 39*i(u). Let q(k) be the first derivative of k**2\/2 + 1. Determine l(q(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + 15 + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 54, 77?\n\"Answer: 23*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 35 - 440 = 0. Solve -p = 5*j - 0*i - 2*i, -3*j = -4*i + 23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 41 = 3*z, -2*t - 1 - 9 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6087203790.\nAnswer: 2, 3, 5, 202906793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, 698, 111 in descending order.\nAnswer: 698, 111, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(1\/5*(-16 - -26)). Let i = 0.2 + 1.8. Let l = -3 + 8. What is the nearest to l in i, 0.1, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**3 - 301*i**2 + 6*i + 3954. Give d(-60).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 2*d - 24. Suppose -5*w = -2*w + 4*x, -x = 2*w. Calculate b(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34371 (base 8) to base 6\nAnswer: 151305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*k = -156*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 19*n**2 + 20*n - 36. Let d be t(18). Solve d = -0*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118490 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48317 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/153 and -62\/6921.\nAnswer: 117657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + 0*z**2 + z**2)*(2*z + 2*z - 3*z + (3 - 1 - 3)*(-2 + 2 - 3*z)) - 4*z**3 + 3*z**3 + 0*z**3 to k + m*z + p*z**3 + x*z**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 45 + 14. Let i = -29 + 40. What is the remainder when a is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, c: 1, v: 5}. What is prob of picking 2 v and 1 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 22*w - 594*c + 565*c - 54 = 0, -54 = -0*w - 6*w - 4*c for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 != 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3712a77 + 1?\nAnswer: 3712a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265 - 597\/2. Suppose 4*z - 5*k - 400 = 0, -222 = 5*z - 5*k - 717. What is the common denominator of g and z\/(-45) - 2\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 223197 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000597871 rounded to five dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r - 11*r**2 + 4*r + 13*r**2. Let f(q) = -2*q**2 + 28. Determine f(i(n)).\nAnswer: -8*n**4 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -250 (b) 6 (c) 29 (d) 2\/7 (e) -0.4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(450)*2)\/(-5*sqrt(144)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 143651872.\nAnswer: 143651872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/15)\/m*m)\/m*m*m)\/m*m**(1\/6))**(-1\/25) assuming m is positive.\nAnswer: m**(-1\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-220 - -10)*3800\/6. Round n to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b9 - -212?\nAnswer: -2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28490.4+-38617435\nAnswer: -38645925.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 12:05 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21007 not equal to 21005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 7092*w**2 + 1943328*w + 124299584 = 0. What is w?\nAnswer: -124, 2021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 + 3*t - 4 + (0*t - 2*t + 3*t)*(2 - 1 - 2) to the form r + s*t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 674204 to the power of 1\/2, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*w = -4 - 25, a - 7 = w. Let q be 4*(3 - a\/2). What is the third derivative of 2*k**q + 13*k**2 + k**2 - 15*k**3 wrt k?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4513 - -9796. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 19 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57276*x - 24775 wrt x.\nAnswer: -57276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(31\/2)*(g**(-17)*g)\/g*g)**(-4\/7) assuming g is positive.\nAnswer: g**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 4:46 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135037 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + 0*d**5 - 2*d**5 + (-6 + 2 + 1)*(d**5 - 3*d**5 + 6*d**5).\nAnswer: -17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9248279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Let d(s) = -3*s**3 - 6*s**2 + 43*s - 13. Let t be d(-5). Let f be ((-1)\/(-8))\/(1 - 2). What is the nearest to f in c, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -320152.14131 + 320154. Round h to two dps.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4324592 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*m - 22, 5*b + m = 3*m - 97. Let r be (4\/(-12)*b)\/1. Suppose 10*x = r*x + 129. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5318*c + 2. Let t(n) = -251*n**2. What is x(t(j))?\nAnswer: 1334818*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -c5362 (base 16) in base 8?\nAnswer: -3051542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.06878606 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 792?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, 2, -5, 286\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160064 is divided by 687?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*p + 16, p + 5 = 6*l - 2*l. Let r(a) be the first derivative of a**l - 1 - 2\/3*a**3 + 4*a. Factor r(s).\nAnswer: -2*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 3.1 (b) 26 (c) -5\/6 (d) 0.396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 278626192\nAnswer: 1\/139313096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 71 = 105. Suppose 0 = v + 2*f - 8, 4*v - 2*v + 3*f - 12 = 0. Suppose 2*h - p = -3*m, -3*m + 6 + v = 0. Let i(r) = 2*r - 2. Give i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451 (base 8) to base 11.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -54. Suppose 2*j = -4*i + 20, 5*j - 2*i - 25 = -t*i. Solve j = -3*n - 5*g - 10, -4*g - 6 = -3*n - g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4133*v + 10*y = 4128*v + 175, 152 = -38*v + 2*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) 3 (c) -11\/4 (d) -13 (e) -2\/7 (f) 4\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 841, 3368, 7579, 13474, 21053, 30316, 41263?\nAnswer: 53894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-201)\/6*-38 + 3\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjtw when four letters picked without replacement from wwwwwwwgwigtwtgwwwj?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4013179 is divided by 190?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 405 = 195. Let t = -71 + m. Solve -2*c = -2*h - 10, 3*h - t*h - 5*c = -13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t + 2806 - 5633 + 2812 + 0*t + 2*t - 5*t + (t - 5*t + 2*t)*(5 + 2 - 5) + (-6 + 6 + 3*t)*(-3 + 7 + 2) in the form q + m*t and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/24 + 5*g**3\/3 + 6*g. Let c(t) be the second derivative of i(t). Let a(m) = 4*m. Give a(c(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 + 737.144?\nAnswer: 1320.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1419\/(-86)*-37*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-one quarters of a day?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 974 divided by 493\nAnswer: 974\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s - b - 111 = -26*s, -s = 4*b - 24. What is the greatest common divisor of 90 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21409 + 21412. Solve -2 = 2*q + g, -q + 5*g - b + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 266*r**6\/3 - 949*r**3\/3 - 886. What is the third derivative of w(h) wrt h?\nAnswer: 31920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3662 times 2?\nAnswer: -7324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24720 and 51.\nAnswer: 420240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 2, u: 1, w: 1, x: 1, j: 2}. Give prob of sequence wjj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -1\/4*v**4 - 1\/2*v**2 + 26*v + 1\/20*v**5 + 2 + 1\/3*v**3. What is x(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (2 - (-1 + 3)) + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -18. Let s(y) = 200002*y + 2. Let z be s(w). What is z rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/20*1*4\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 436 - -5?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*(z*z**9)\/z)\/((z*z*z*z\/(z\/z**(-11\/5)))\/z))\/(z**6*z*z\/z**(-2\/41)))**(-30) assuming z is positive.\nAnswer: z**(-3876\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 2*h**5 - 500*h**3 - 26*h**2 - 2*h - 4 wrt h?\nAnswer: 120*h**3 - 120*h**2 - 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyzkvjo. What is prob of sequence zz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 6*u. Let v be r(6). Suppose -2*g - 4 = -5*a - v, -g + 9 = 3*a. Suppose 66 = 9*y + 21. Sort -3, y, g, -5.\nAnswer: -5, -3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.645 - 0.785. Let z = -7.8 - a. Round z to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 402 = i. Let x = 69 - i. Let q(u) = -5*u - 2. Determine q(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 20*o - 21*o - 24, -2*o = -4*t + 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzz when three letters picked without replacement from nzznnccn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 - (58 + (-86 - -96)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25005, 25818, 26617, 27396, 28149, 28870?\n\"Answer: -l**3 - l**2 + 823*l + 24184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = -3*a + k + 292, a - 205 = -3*k. Suppose -4*n - 4*l = -a, 50 = 2*n + 5*l - 72. Suppose -4*r + 239 = n. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -50 - 2192*d**3 - d + 1098*d**3 + 1095*d**3 + 28*d**2. Let o be g(-28). Which is smaller: o or -14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8a00 (base 16) to base 13.\nAnswer: 1b24bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12)*w\/(w**(1\/5)\/w))\/((((w\/w**13)\/w*w)\/w)\/w**(-9)))**(13\/6) assuming w is positive.\nAnswer: w**(-403\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(2448)*4 + 4 + 3 + -3*sqrt(2448) + -5)*3)**2.\nAnswer: 1512*sqrt(17) + 22473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*m + 26, -m - 5*a + 72 = 29. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 691305 and 1955?\nAnswer: 15900015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**4\/12 - 228*d**2. Let x(w) = 68*w. Determine a(x(q)).\nAnswer: -136*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779 = 3*o - 2*m, m - 6*m + 551 = 2*o. Let c = 313 - 135. Let p = o - c. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/421990 and 17\/7584715?\nAnswer: 288219170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = -4. Suppose -c*u = -86 + 1. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:35 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t - 3*t - 2*t)*(4 - 3 - 2) + 3*t - 3*t - 3*t)*(0*t**3 - 3*t**3 + t**3).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -236 + 262. Let t(b) = 10*b - 202. Let z be t(f). Calculate the highest common divisor of 928 and z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-240)\/45 - -6)\/((-3)\/(190827\/(-2))).\nAnswer: 7, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*u = 1122 + 759 + 764 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let w(g) = 3*g**3 + 10*g**2 + 7*g - 1. Let z(d) = 2*d**2 + d. Let t(j) = -w(j) + 5*z(j). Calculate -3*s(p) + t(p).\nAnswer: -3*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/14 + -2)*-14. Suppose 0 = -2*k + 4*k - z. Solve 7*p - 10 = k*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808832 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-22) - 2\/4. What is the hundreds digit of 286 + (a\/4 - (-1 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u + 3. Let s(g) be the third derivative of g**4\/8 + g**3\/6 - g**2 - 28*g. Let v(w) = -w + 2. Let y be v(0). What is y*d(f) - 7*s(f)?\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 8)*86\/2. Suppose 5*x - v = -3. What is the highest common factor of x and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 32*r - 43*r + 11*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2232 divided by -8\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*-4)\/4 - -4 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 i, and 1 e when four letters picked without replacement from {e: 3, f: 7, i: 6, l: 1}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112356177?\nAnswer: 3, 19, 1971161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 18*g - 80. Let c(t) = -2*t**3 + 9*t**2 - 38*t + 145. Let o be c(4). Determine w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (2\/2)\/(5\/55).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1)\/18*-34*(-126)\/2856.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 16*l**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 8 + m + 3*m + 3*m as o*m + a and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969485659?\nAnswer: 1969485659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 19, -498 in decreasing order.\nAnswer: 19, 0, -1, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633415434?\nAnswer: 2, 3, 353, 299063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -170, -344, -528, -728, -950?\n\"Answer: -r**3 + r**2 - 170*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -484712.2464 rounded to the nearest 100?\nAnswer: -484700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 7:38 AM?\nAnswer: 358","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsxxxxsxizuixixxx. Give prob of sequence sx.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*b = -140438, 21*q + 4*b = 22*q - 28078. List the prime factors of q.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - k - 5*c - 12, -2*c = -4*k - 6. Is 3 - k\/(9\/6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*d + 3 - 8, 3 = 3*d. Is 5 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -446, -905, -1378, -1871, -2390?\n\"Answer: -a**3 - a**2 - 449*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/533?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*c + 3. Suppose 4*j = -c*t + 17, -6 = -j - 0*t + t. Suppose 0 = j*v + x - 22, -x + 4 = -v - 4*x. Solve -s = -v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 8, w: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100867 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5, -z + 3859 = 4*b + 4*z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*19\/(-76) + (-19)\/(-9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000751465191 to 7 decimal places.\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 363*q**2\/8 - 339*q\/4 + 331\/8.\nAnswer: -(q - 1)**2*(16*q - 331)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1446848356 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -34. Let y = 543 - n. Suppose -6*b + y = b. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 + 3*b + 1. Let j be q(-2). Suppose 35 = j*k + 2*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1\/3 (c) 7 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**3*z**2 - 56*v**3 + 2*v*z**5 - 2*v*z + 24*z**2 - 1 wrt z.\nAnswer: 2*v**3 + 40*v*z**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 284\/18 - (-10)\/(-18)*2\/(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-94)\/14 - 2\/7. Let s(w) be the second derivative of 5*w**4\/12 - 11*w**3\/6 + 3*w**2\/2 + 15*w. Let c(t) = -3*t**2 + 6*t - 2. What is f*c(v) - 4*s(v)?\nAnswer: v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (118\/(-5))\/((252\/35)\/(-6)). Let m = 0 - -20. Let x = f - m. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.966 rounded to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2107.44+0.2\nAnswer: -2107.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 15*j + 2. Let m be l(15). Suppose 3*h + t = 24, m*t = -h - 2*h + 24. What is b in -8 - h + 16 - 2*b**2 + 4*b**3 + 6*b**4 = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2283, 12442, 30455, 56322?\nAnswer: 90043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**2*g))**12\/(g**(-2\/3)\/g**(-4)))\/((g**(1\/2))**(-27))**10 assuming g is positive.\nAnswer: g**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/8 (c) -18 (d) -0.3 (e) -92 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -711 - 2129. What are the prime factors of o?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:04 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*d + 451*d + 226*d - 1140*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 460 and (4\/10)\/(111\/13875).\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y + 42. What is the greatest common divisor of y and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193977 divided by -27711\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 + 21 = -6*k. Suppose 0 = -0*b - b. Suppose b = q - 0*q - 29. What is the remainder when k is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/1911443 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -115172.54.\nAnswer: 11517.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65 plus -7623481?\nAnswer: -7623480.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 871, 854, 837, 820, 803?\n\"Answer: -17*h + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.368*0.3.\nAnswer: 0.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7070 - 141461\/20. Calculate the common denominator of 23\/20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5832)\/(-135)*(-2115)\/2538?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -179, 5, -4, 0 in descending order.\nAnswer: 7, 5, 0, -4, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5831*o**3*s**3 - 18*o**3*s**2 + 45*o**2*s**2 - 2*o wrt s.\nAnswer: -34986*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 20. Suppose m*u = -5*u + 15. Suppose 488 + 1 = 5*k + u*w, 3*k = 5*w + 273. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2022?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47329531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -0.5, 0.4, -23\/863?\nAnswer: -23\/863","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-120))\/(-2*4\/(-48))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p + 98. Determine o(14).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/120 + 41*s**4\/36 + 133*s**3\/3 - 294*s**2 + s - 124. Factor c(a).\nAnswer: (a - 2)*(a + 42)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44388 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96735366 and 546.\nAnswer: 96735366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + (6 - 0))\/((-2)\/(-12)). Solve -t = 4*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adnn when four letters picked without replacement from onaddn.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1 - (-14)\/10). Let a = -63 - -64. Suppose -4*i - 5*v = 22, -4*v - a = i - 5*v. Sort s, i, 10 in increasing order.\nAnswer: s, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -441 - -620. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6028 and -57\/22.\nAnswer: 6028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 - 14598 + 14598.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -37. Does 5 divide 14\/((-6 + 2)\/(m - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 204 - 205. Let r = 301 - 300.95. Which is the nearest to d? (a) -8 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 12*u**2 + 23*u + 159. Let g be n(-10). Let z = g + 962. What are the prime factors of z?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 664471 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*t. Solve -2*w + 3*d = -2, -5*d + d + t = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 966*d - 21223. What is b(22)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 3*p + 1. Let y be q(2). Which is bigger: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (0 + sqrt(252)*1 - 5*(sqrt(252) + 2*sqrt(252)) - ((-1*sqrt(252) - sqrt(252)) + 0 - (3 + sqrt(252) + 1))))*-5)**2.\nAnswer: -3300*sqrt(7) + 762325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xoxxoxkkyokoookokxx?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 665027.\nAnswer: 4\/665027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 3. Let k(n) = -n + 4. Determine 5*k(l) + 8*m(l).\nAnswer: 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 2 (b) 1\/6 (c) 0.3 (d) -2\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-24)*2)\/(40\/80)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999 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: What is 27 minus 4809765?\nAnswer: -4809738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 35*r - 2. What is the remainder when z(-11) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16*l**2 - l + 3. Calculate w(2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 5) + 21 + (11 - 23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -10. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4309173 and 320517.\nAnswer: 38782557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {g: 3, v: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -592 - -299. Let d = -293.3 - h. Put -0.4, d, 0, 2\/9 in ascending order.\nAnswer: -0.4, d, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 442, 1\/3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3\/3 - 5*y + 8. Suppose m - 5 = -3. Let w(x) = -2*x**2 - 3*x**2 - m*x**2. Determine l(w(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(1\/3)\/((b*b**6)\/b*b**(-3))*(b**(-1))**(-11)*b**(-1\/4)*b*b**(-8\/7) assuming b is positive.\nAnswer: b**(583\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1124*y**2 - 559*y**2 - 560*y**2 - 20617*y**3 - 5937*y**3.\nAnswer: -26554*y**3 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p + 12 = 0. Suppose -1 = 3*o + 2. Let c be (o - -2) + 1\/(0 + -1). Solve -p = -c*f + 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -6. Which is smaller: -2\/25 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -11, 27, 113, 265, 501, 839?\n\"Answer: 3*y**3 - 3*y**2 - 4*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8 - 30\/40 and 19\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77*44 + -6 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34080774 to the power of 1\/2, to the nearest integer?\nAnswer: 5838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2281 - -2305. Let n be -38*2\/(8\/(-6)). Let o = n + g. What is the remainder when o is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-15) + (-8)\/(-6) - -4. Suppose s = -5*c + 142, -k*s - 417 = -c - 1179. Suppose q - s = -81. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 45*q\/2.\nAnswer: -q*(q - 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8 + 33155588.\nAnswer: 33155580.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 132.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 5, -0.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 414.679 + -415. Let r = 0.121 + w. Which is greater: r or 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*o + 3*m + 53, -2*o = 2*m - 34. Let d(a) = 17 - 17 - o*a + 4*a. Let q(v) = v**2 + 7*v - 7*v. Calculate q(d(h)).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -751*b**3*o**3 + 3783*b**3*o - 2*o**4 wrt o?\nAnswer: -4506*b**3*o - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 3*g - 3*g)*(-1 + 1 - g**2) + (2*g**2 - 2*g**2 - 3*g**2)*(4*g + 0*g + 0*g) + 5*g**3 - 45*g**3 + 8*g**3.\nAnswer: -45*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440496 and 7928928?\nAnswer: 7928928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -75 - 55 + 71*z - 17*z + 108. What is the hundreds digit of a(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 38*h + 5 + 0 - 4. Is f(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 2. Let o be z(3). Suppose -s - 4*g + 2 = -0*s, 3*s = -5*g - o. Let u be 21\/(-18) - s\/12. Is -2\/15 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/4)*(s*s**(-3\/13)\/s)\/s*s*s)\/((s\/(s\/s**11))\/s**21) assuming s is positive.\nAnswer: s**(599\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -23 (c) -4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -594*a + 2386. What is s(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/(-81) - (-1)\/3. Let y(z) be the second derivative of 0 + 1\/10*z**5 + c*z**4 + 19*z - z**3 + 0*z**2. Find the second derivative of y(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 37*o - 50. Let z be r(9). Let g = 491 - z. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -14a333?\nAnswer: 14a333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10768800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (-4 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2baa3 (base 15) in base 3?\nAnswer: -21011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1553010.\nAnswer: -1\/517670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -83. Let a(p) = -15 + v*p**2 + 16 - 22*p**2. Give a(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 12*v**4 + 212*v**3 - 104*v**2 - 592*v - 288 = 0.\nAnswer: -18, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -7. Let m(v) be the first derivative of -v**2\/2 + 4*v + 3. Let b be m(3). Solve 2*y = z - b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (7 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 420842751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k + 4. Let s(i) = 8*i - 3. Let q(l) = -3*n(l) - 4*s(l). Let f(j) be the second derivative of 5*j**3\/6 + j**2\/2 - 9*j + 64. Calculate f(q(v)).\nAnswer: -25*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h - 19. Let l be n(4). Calculate the highest common divisor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 10*p - 7. Give l(5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 370 + -63. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63201.\nAnswer: 3, 21067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*j*t - 12*j + 48748*t + 65346 wrt t.\nAnswer: 17*j + 48748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1, -4, 269, 0 in descending order.\nAnswer: 269, 4, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*h - 327*h + 26*h - 13841 - 37414 = 0 for h.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 - 4*b - 4. Let c(o) = 33*o**2 - 11*o - 11. Let w(z) = 4*c(z) - 11*j(z). Let s(m) = -m**2. Give w(s(v)).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25565*k**2 + 44521 wrt k.\nAnswer: 51130*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1679 rounded to two decimal places?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 1)*(0*h + 4*h - 3*h)*(-4*h**3 + h**3 + 2*h**3).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 9*l + 85. Let k be c(15). Suppose 39*p - 1154 = k. Calculate the remainder when 163 is divided by p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**3 + n**3 + 9*n**3)*(-156 + 402 + 292) + (1 - 1 - 2*n**2)*(-3*n + 5*n - 3*n) + 0*n**3 - 2*n**3 + n**3.\nAnswer: 10761*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -6*i**2 + 0*i**3 + 0*i - 3 - 1\/4*i**4. Find the second derivative of g(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 12*d - 4 - 6.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 6*u**2 - u - 1. Suppose -2*f + 2 = -2. Suppose -c + 11 = f. Calculate the remainder when c is divided by y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -476 - -338. Let q = -63 - p. Is q a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989979?\nAnswer: 3, 329993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36726 take away -0.13?\nAnswer: -36725.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3.2, -1\/5, 1\/3, 4\/27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 13. Let c(b) = -222*b + 82 + 114*b + 109*b - 82. Give -c(m) - s(m).\nAnswer: -3*m + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -15*l - 76 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 386349, 386387, 386451, 386541, 386657, 386799, 386967?\n\"Answer: 13*s**2 - s + 386337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -w, -638*w - 4*m = -641*w + 12. Solve -18*g - 6 = w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4843.409 weeks in hours?\nAnswer: 813692.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t + 363. Give a(51).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 3. Let m be z(3). Let p be (-3)\/6 - ((-9)\/m - -1). Suppose 4*q - 14 - 50 = 0. Solve -4*b - q = p, -b - 28 = -4*a + b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7388087342.\nAnswer: 2, 5387, 685733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/60174429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*l = 1743, 0 = 2*p + 4*l - 5*l + 859. Let s = 432 + p. Solve 4*y - 5*y + 5 = s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**4 - 3*z**3 - 21*z**2 + 3*z + 18 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 135 = -817. Suppose u = 3*b - 4*v, -2*b - 50 = -7*b - 2*v. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:47 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3440 and 817420.\nAnswer: 140596240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81 + 44 - 59)*(2*i - 2 - i + 0) to d*i + y and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 7*o + 2*o = -100, 0 = 4*b - 4*o - 40. Calculate the remainder when -1 + 0 + 3*20 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 6 (c) 1 (d) 2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*y - 25, 0 = -2*y - 3*y + 25. Solve 5*o - 2 - 13 = i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2 + 31552*y - 157860 = 0?\nAnswer: -7893, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, o: 2, k: 4, s: 5}. Give prob of sequence xssk.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 26. Let m be (-4 + 15)*(-17 - -18). What is the highest common factor of q and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/27 and 137\/22596?\nAnswer: 203364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + h + 2. Let i be v(-2). Suppose -s + 2*s = i. Suppose -40 = -4*k + s. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10685911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60.879503087 - -0.120479913. Let d = -61 + o. Round d to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*n**4 - 7*n**5 - 21*n**4 + 52*n**4 + (-2*n**3 + 5*n**3 - 5*n**3)*(n**2 - 1 + 1).\nAnswer: -9*n**5 - 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143310607 and 44968.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 231312\nAnswer: -7\/115656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 85*m - 120. Let d(l) = 33*l - 3. Let t be d(2). Let x = t + -33. Calculate the smallest common multiple of x and q(-44).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218507337 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*z = -17, -3*z - 5486 + 5467 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1150530 (base 12) to base 11\nAnswer: 1980914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 1. Let d be y(7). Let j be d\/(-8)*18\/(-15). Suppose 0 = j*r + 4*n - 50, -5*r + 4*r - n = -15. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 596\/10 + (-10)\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + 23. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t**(2\/3))\/(t*t\/(t*t*t**(-3\/11)*t*t*t)*t)**(-20\/7) assuming t is positive.\nAnswer: t**(-2911\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (-1 - -1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 5*w + 4. Let p be y(5). Let v be -3 + p + 8 - -2. Find the first derivative of -6 + v - 18*i - 14*i**3 + 18*i wrt i.\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 3:06 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2123071946 to the nearest integer?\nAnswer: 46077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 10 = 8. Let f(q) = q**2 - 4. Let i(l) = l**2 + 2*l - 3. Let t(r) = r**2 + 3*r - 4. Let g(x) = 3*i(x) - 2*t(x). Calculate a*g(n) - f(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/(b**4\/b*b)*b)\/b)\/b*b**5)\/((b\/b**(1\/3))\/(b*b**(-6)))*b**(-5)\/(b**(-1\/2)*b)*b**3*b*b*b*b**1 assuming b is positive.\nAnswer: b**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -3*q - 46. Suppose -j + q = 4. Suppose -61 = -4*p - w, 2 = -4*w + 6*w. What is the remainder when j is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*t - 4, -49*t = -54*t - s + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 4 (b) -5 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, d: 2, i: 1, w: 2, h: 1, r: 1}. What is prob of sequence krwi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7474.9 - 7475. Which is the nearest to 10? (a) 0 (b) -5 (c) t (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 5*l - 2. Let c be o(-2). Solve p = -5*j + 2, c = -4*j - 9*p + 6*p - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/30, -0.64, 0.74, -0.6?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 40*j**2 + 382*j + 15. Determine w(-24).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222503 < 2222502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -257\/13 or -20?\nAnswer: -257\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*d + 36830 - 2554190 = 0. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/60 - (-214)\/10. Let n = 20 - r. Do -1 and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/28358 or -1?\nAnswer: -3\/28358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, h: 2, j: 3, p: 7}. What is prob of sequence rpj?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) + 34\/70. Let i be 30\/20*(10\/85 + 1826\/(-2805)). Which is the closest to i? (a) -0.3 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(2*q**2 + 2*q**2 - 2*q**2)*(4*q - 4*q - q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) 2\/59 (c) 9\/2 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - -2 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3 - 44146\/3)\/(((-225)\/162)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:37 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2585 by 15.\nAnswer: -517\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 1 - 1 + (6 + 7 - 3)*(0*o**2 + o**2 + o**2).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628*v = 620*v + 1000. Calculate the smallest common multiple of v and 2.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1785*y + 4830. Does 51 divide n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*r**4 - 24*r**5 - 26*r**4 + (12*r - 4*r + 4*r)*(-r**3 - 3*r**4 + r**3) + 3*r**5 + r**5 - 5*r**5 - 4*r**4 + 4*r**4 + r**5 + 2*r**5 - r**5 - 3*r**5.\nAnswer: -62*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:13 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -124, -205, -286, -367, -448, -529?\n\"Answer: -81*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h - 3*q = -11, -2*h = 4*q - 16. Let m = -22 + 16. Let a = -4 - m. What is the remainder when a is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2082959 years to months.\nAnswer: 2.4995508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145340, 145341, 145336, 145325, 145308?\nAnswer: 145285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(27)*1.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 8*y - 62*y + 70*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - x + 4*x - 56, 0 = 2*s + 3*x - 17. Suppose 153*i - 12063 = 1707. Calculate the remainder when i is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1590*m**3*p**3 - 2*m**3*p - 92*m**3 - 5*m**2*p**3 - 4*m**2*p**2 - 2*m**2 - p**3 wrt p.\nAnswer: -9540*m**3 - 30*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 2331 = -36*y. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 448*b**3. Let q be m(-1). Let u be q\/((-4)\/2) - 0. What is the highest common divisor of 28 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254477581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 - 96*a\/7 + 416\/7.\nAnswer: -2*(a - 4)*(a + 52)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 2688?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 5*x = -9*g + 669, 0 = 5*x + 25. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 0*s - 1\/3*s**3 + 2 + 0*s**2. Let z(r) = 277*r**2 - 2*r + 2*r - 292*r**2. What is z(n(g))?\nAnswer: -15*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o - 1040 = 0. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - -6)*4\/((-40)\/(-15)). Sort 4, 1\/14, 0.1, z in increasing order.\nAnswer: z, 1\/14, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865713, -865716, -865719, -865722, -865725, -865728?\nAnswer: -865731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002519 is divided by 526.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -301*r**4 - 6*r**3 + 5*r**2 - 2271. Let n(l) = l**4 + l**3 - l**2 - 2. Let j(c) = i(c) + 5*n(c). What is the derivative of j(y) wrt y?\nAnswer: -1184*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/20 - (-4)\/(-2). Suppose 3*r + d + 9 = 0, -d - 3 = r - 0*r. What is the nearest to 2\/11 in o, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1784*h + 57*h**2 - 1784*h)*(18*h**2 + 37*h**2 - 30*h**2) in the form u*h**2 + r*h**4 + y + f*h**3 + b*h and give r.\nAnswer: 1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4 - -3. Let q = f + 2.4. Let b = -30 - -26. Sort q, -5, b in decreasing order.\nAnswer: q, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174475 is divided by 376?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -95a44?\nAnswer: -95a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 16. Let g be 165\/p + -1 + 5. Do g and -7 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416395915 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 2. Suppose -3*p = 4*x - 14, 3*x - 5*p + 2 = -p. Suppose 23 = x*o + 7. Give t(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c - 4, -2*c + 171 = 5*f. Calculate the highest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100112012 (base 3) to base 6\nAnswer: 52052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.45 - -0.05. Let z = j - 0. Sort 0.1, -4, z in descending order.\nAnswer: z, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/5)\/q*q**(6\/11)*q**(2\/3)\/q*q*q*q**(-6) assuming q is positive.\nAnswer: q**(-823\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 870*y - 3517. What is g(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 27 = -9. Suppose 0 = 2*v - 5*z - 337, -k*v + 2*z = 2*v - 790. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552114 to the power of 1\/2, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**10)**(-2\/9)\/((r\/(r**0\/r))**(-20)\/((r\/(r*r**(-2\/3)))\/(r\/(r\/r**(-1\/2))))) assuming r is positive.\nAnswer: r**(247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0181915 and -3.745.\nAnswer: -0.0681271675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 129?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 41*c + 8 = 43*c, -16 = g - 4*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x**2 - 5*x + 5. Let z be o(1). Differentiate 219*t**3 - 8 + 25 + 8*t**z + 73 - 223*t**3 wrt t.\nAnswer: -12*t**2 + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 + (-7)\/(-9) + 4. Suppose b*i - 2*g = 4, g + 9 = -3*i + 6*g. Is 405\/13 + i\/(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -18\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000241345 rounded to 6 decimal places?\nAnswer: -0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11654247 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 6:29 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39613 is divided by 140.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 490 in 0.048, 1\/16, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s + 6*s + 6 + s**4 - s as r*s**3 + a*s + o*s**2 + m*s**4 + g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 bigger than 2769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 32. What is the biggest value in o, 7, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195777 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 14*b**2 + 11*b - 28. Let u be v(-15). Differentiate h - h + 316*h**4 - u - 345*h**4 with respect to h.\nAnswer: -116*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y + 24. Suppose -3*k + 2*k - 4*k = 0. Determine g(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 5. Let w be m(5). Let q be (-24)\/(-14)*(-8 + w). Solve q = -2*b + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111011101001 (base 2) in base 11?\nAnswer: 141a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.057 - -57.357. Let h = -2987.8471 + 2931.57. Let p = o + h. What is p rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*-1*3. Let k be 415\/65 + (o - 7 - -3). Are k and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 - 299*a + 599. Calculate y(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/(-108)*(-6)\/(-6)*9\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s**3 + 0*s**4 + 1\/1008*s**8 + 1\/90*s**5 - 12*s**2 + 3 + 0*s - 1\/360*s**6 - 1\/315*s**7. Let u(p) = 0. What is p?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4269703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-15))\/(28\/(-20)). What is the nearest to x in 1, -5, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3\/3 - 7*k**2 - 11*k + 158. Give l(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4295*r + 22. Let s be v(-5). Let w = 33 + -29. Suppose -42999 = -2*j - z, -j + s = w*z - z. What is j rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 3*n + 1. Let h be o(-3). Suppose 2*w = -9 - h. Let i be ((-32)\/160 - 186\/(-55)) + -3. What is the nearest to 0.2 in i, -1, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17244 (b) 1\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80.26 + 94. Let h = -3.56 - t. Let v = h + 17.299999385. What is v rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 77*w + 49. Calculate c(-5).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**3 - l**2 - 33*l**3 + l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -38*t**2. Let l(z) = -133*z + 42*z + 46*z + 43*z. Determine l(r(f)).\nAnswer: 76*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/4 - 5*f**3\/4 - 9*f**2\/4 - 7*f\/4 - 1\/2.\nAnswer: -(f + 1)**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1064 - -1062. Let x(n) = -14*n**3 + 7*n**2 + 6*n + 7. Let z(b) = -5*b**3 + 2*b**2 + 2*b + 2. Give k*x(t) + 7*z(t).\nAnswer: -7*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-4 + -2 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*k + 1. Suppose -v + k*v = 24. Calculate the lowest common multiple of v and (-1 - -2)\/((-1)\/(-11)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 16 = 2*j, -v - 10 = v. Suppose -4 + j = -n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141.1 + 5.9. Let f = 44 - b. Let j = f - -102.9. What is the smallest value in j, -7, 0.03?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2126583 from -3.\nAnswer: -3.2126583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/192 and ((-1425)\/1120)\/(72\/(-14))?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (6*(1 + sqrt(396)) - 2*(sqrt(396) + (sqrt(396) - (0 + sqrt(396)))))**2 + 2*sqrt(396)*2 + sqrt(396) + -2 + sqrt(396)*3).\nAnswer: -6370 - 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 + 52*y**2 - 9*y**2 - 31*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39129?\nAnswer: 3, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -83\/3, -5, -4, -2\/77 in increasing order.\nAnswer: -83\/3, -5, -4, -3, -2\/77, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/21 + (-3)\/7. Suppose h = 2*n - b - b + 8, -n = 3*b - 4. Let q be (16\/(-60))\/(n\/(-3)). Put q, -1, -1\/3 in descending order.\nAnswer: -1\/3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 123346 - 123353 = -5*l, 5*l - 33*f = -401 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3456 divided by 288\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*b + 8*b + 2 - 19*b as d + j*b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*(-22)\/((-616)\/(-42)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*b - 2031, -q - b - 4*b + 395 = 0. Suppose 1670 = 5*g + q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9965716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 - 0.6. Suppose -20 = -0*x + 4*x. Let m = 9 + -10. What is the third biggest value in x, a, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*x + 341 = 341. Solve 0 = 3*w - 9, 5*f + 3*w + 3 - 22 = x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 133, 195, 253, 307, 357, 403, 445?\n\"Answer: -2*i**2 + 68*i + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (78\/(-65) + 24\/(-80))*8\/(-3). Let p(f) = -f**3 + 2*f - 2. What is p(y)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a9a4116 - 3?\nAnswer: -a9a4119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5985*r - 1 - 3.\nAnswer: -5985*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*(sqrt(931) - (sqrt(931) - (sqrt(931) + -1)))*-4 + -2*(-1 + sqrt(931))*2)**2.\nAnswer: -4200*sqrt(19) + 372625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r + 2*r**2 + r)*(-3 + 1 + 1) + 6*r**2 - 10*r**2 - 4*r**2)*(-r**2 + 6*r**2 + 16*r**2).\nAnswer: -210*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57218\/27 or 2120?\nAnswer: 57218\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.31822 to two decimal places.\nAnswer: -2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 136 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.480621 millilitres in litres?\nAnswer: 0.002480621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310625 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-24)*-5)\/(1\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12024?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-25)\/(g**(-6)\/(g**9*g)))**8 assuming g is positive.\nAnswer: g**328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338\/(-104) + (-30)\/(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p - 13*p**2 + 48*p**2.\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, -3, 0.4, -5, 2.4, -0.3, -1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1182.41 - -1181. Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(94\/846). Sort 17, -5, -4, g in ascending order.\nAnswer: -5, -4, g, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -82. Let g = 33 + s. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 51 - 51. Let o(v) = v - 2*v - v. Determine y(o(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from clhciciihf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5664*r. Let g(p) = 8*p**2 - 1. What is g(l(t))?\nAnswer: 256647168*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 6*f + 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/124683601 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:37 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1910 (base 14) to base 10\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a - 34*a = -3962 + 581 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1926 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 7. Let o(u) = 3*u - 13. Let c(y) = -4*o(y) + 9*z(y). Differentiate c(d) with respect to d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 + 8. Let s = y - 1.1. What is the third smallest value in -1\/3, -2, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6886118.4 hours in weeks?\nAnswer: 40988.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12286444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8 + 7*x - 2*x**2 + 3*x**2 + 0*x**2. Let y = -12 + 6. What is the remainder when k(y) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 40150?\nAnswer: 40150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 5*o**2 + 9*o**2 - 4*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 35*h**2 + 60*h - 379. Is a(33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 - 18*p**2 + 324*p - 20. Let a(n) = -n**3 - 4*n**2 + 81*n - 5. Determine -9*a(l) + 2*r(l).\nAnswer: 3*l**3 - 81*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 39*y + 15. Let f be l(3). Let r(p) = 64 + 45*p - f + 11. Is r(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a factor of 40502224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 13*b - 9. Calculate w(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 598004 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39 + -1ff4?\nAnswer: -1fbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.65 - 2. Let c = k - -11.45. Let t = c - 11.09933. What is t rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -329, -334, -341, -350, -361, -374, -389?\n\"Answer: -u**2 - 2*u - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 4 + 4)*(2*x**2 - x**2 - 2*x**2) + 4*x**3 - x**3 - x**3 - 1346248 - 1008*x**3 + 1346248.\nAnswer: -1004*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -2111022101?\nAnswer: -2111022041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -59. Let l be (1 + (-37)\/(-2))\/((-312)\/(-416)). Calculate the greatest common factor of c and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -53. Let k be j\/(-2 - -1) - 2. Let z = 33 + k. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1656 + -11534\/7. What is the common denominator of -31\/48 and v?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:42 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (2 + -9 + (-8 - (-8 + -2)) + 20)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329855371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 29*c**2 - 29*c - 21. Let j(t) = t**3 - 14*t**2 - 14*t - 10. Let y(r) = 7*j(r) - 3*z(r). Calculate y(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.045 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0299773 from 0.32611235.\nAnswer: 0.29613505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 12*t - 4. Let j(d) = d**2 + d. Let a = -1 - 0. Let r(u) = a*k(u) + 6*j(u). Factor r(h).\nAnswer: 2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*i + 297*i - 197*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*r - 4884 = 566*r - 1036*r for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001010111 (base 2) to base 15.\nAnswer: 4e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 190 = -8*y + 3*y, 0 = -4*q + 2*y + 204. Let u(t) = -53*t + 98*t + 11 - q*t. What are the prime factors of u(-11)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/80)\/((-30)\/(-25)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/3)\/c*c*c\/(c**(-6)*c)*c*c*c*c)**21)**(-12) assuming c is positive.\nAnswer: c**(-2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 6*m + 11*m)*(0 - 1 - 1).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/(-3))\/(4\/(-6)). Suppose 0 = -37*a + 20*a + 272. Suppose g*m - a = 105. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggogohogo. Give prob of sequence hog.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 44 = -74. Suppose 5*x - 1 = -5*t + 4, -x = p*t - 9. Solve -5*l - t*f - 3 + 13 = 0, 2*l = 2*f + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 5, -1, -2\/15, 1\/3, 24?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2)\/4*49*54\/252.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 3*i**2 + 5*i - 3. Suppose 5*q + 0 - 15 = 0. Let x be o(q). Calculate the greatest common factor of x and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.32585 rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 214 - 184. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15117 = 3*p - 23*w + 25*w, -5*p + 3*w = -25195. List the prime factors of p.\nAnswer: 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 448, 1449, 3386, 6571?\n\"Answer: 52*n**3 + 13*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 9*y**2\/2 + 19. Let r(t) = -10*t. Let g(q) = 3*q + 3. Let s be g(-3). Determine s*r(z) - 7*m(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-105)\/(-25) + (-3)\/15. Suppose 5*z + 5*v = 55, 4*z = 3*z + c*v - 14. What is the lowest common multiple of z and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/4))**(-13\/5)*(k**(-2\/5)*k*k)**(-13\/6) assuming k is positive.\nAnswer: k**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819605.\nAnswer: 5, 23, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3. Let x(m) = -m**2 - 5*m - 4. Let g be x(-3). Let v be z(g). Suppose -3*k = k - v. Solve -7*w = -4*w - 2*f - 10, -2*w + k = f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)\/y**(1\/7)*y\/y**28*y*y**3 assuming y is positive.\nAnswer: y**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 33*p**2 - 255*p - 289 = 0. Calculate p.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 17 = -14*h + 16*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23907 - -0.1\nAnswer: -23906.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)*c*c*c*c**(2\/3))\/(c\/c**(-6\/5)*c**(-7)))**6 assuming c is positive.\nAnswer: c**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(2\/7)*q)\/q))\/q**(3\/5))**(-31) assuming q is positive.\nAnswer: q**(-124\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*y = -145*y - 136*y + 3276 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (9 - (-20 + (7 - -3))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2325 - 116422?\nAnswer: -114064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxssrssxl. What is prob of sequence xl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1, 2, -44 in increasing order.\nAnswer: -44, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*a**2 + 49*a - 14380?\nAnswer: 46*a + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -2*l - 5*b, l - 1382 = -2*b - 1397 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-20)*13056\/(-480)*(-5)\/(-6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Let d(y) be the first derivative of 0*y**2 + 3*y - 2 + k*y**3 + 0*y**4 + 3\/5*y**5. Find the first derivative of d(l) wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -724170*a**2 + 724170*a**2 - 832*a**5 + 3 - 2*a**5 - 3 + (-4*a**3 + 5*a**3 + a**3)*(-3*a - 2*a**2 + 3*a) - 3*a**5 + a**5 + 0*a**5.\nAnswer: -840*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w - 20 = -38*w. Solve -u + w = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*r - 14*r - 2*r)*(-4 + 3 + 3) + 3 - 3 - 2*r)*(14 + 8 + 30) in the form w*r + g and give w.\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(4 + (-340)\/8).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -944 - -967 - (0 + 5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pgppgppgpggg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1 + c**2 + 2*c - 1 - c. Let y be (-5)\/(15\/6) - -4. Calculate s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 502\/7. Let s = -1 - -2. Let t = -1\/70 - -11\/70. Which is the closest to s? (a) q (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3918*x + 3945*x - 19663*x + 3941*x + 3942*x + 3920*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 6*s**2 - 1. Suppose 4*b = 3*b - 6. What is m(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*(-50)\/(-125).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.42675ml in litres?\nAnswer: 0.02942675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7309, 1, 58.\nAnswer: -7309, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511266*v = 511271*v - 4*g + 47, -43 = v - 5*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58110 and 198170?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 97*m - 4. Let g be f(4). Let q(x) = -x**3 + 14*x**2 - 21*x + 173. Let o be q(12). Let s = g - o. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12007*g*h + 53455*g wrt h.\nAnswer: -12007*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24578 is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214 and 6132705.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((153 - 153 - 1\/(-111))*(6 - 0)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0*j + 0*j + 10*j**2. Suppose x + 2 + 5 = 3*r, 2*r - 6 = 0. Let u(n) = -n**x - 39 + 39 - n**2. Calculate l(u(m)).\nAnswer: 40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1. Let l(x) = -x - 3. Let o(a) = 1. Let h(t) = l(t) - 5*o(t). Let w(z) = h(z) - 4*s(z). Let p be w(-3). Sort -4, p, 1 in ascending order.\nAnswer: -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(14)\/(sqrt(28)\/sqrt(4)) + sqrt(2)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -567, -1135, -1703, -2271, -2839, -3407?\n\"Answer: -568*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 4*f = -5*x - 461, -3*x + 3*f + 1383 = 0. Let c = -313 + x. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, 5, 3.\nAnswer: -5, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5*i + 6 = 0. Calculate the remainder when i is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 2 = -16*c. What is the remainder when 2 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**8\/560 - 3*p**7\/350 - p**6\/40 + 27*p**5\/100 - 4*p**4\/5 + 6*p**3\/5 + 164*p**2. Solve c(u) = 0 for u.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/10)\/(138\/460). Let b(o) = -2*o**3 + 3*o - 4. Let i(s) = -1. Determine l*i(z) + b(z).\nAnswer: -2*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 55*w**2 + 212*w + 157. What is m(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 + 24*v**2 - 18*v + 9. Calculate the remainder when 631 is divided by b(-7).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437 divided by -1437?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cd6 - -419?\nAnswer: -8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 t when three letters picked without replacement from {c: 1, h: 3, b: 2, t: 6}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 1415, 2134, 2859, 3590, 4327, 5070?\nAnswer: 5819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75506 divided by 1987?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-15)*(10 - (-1070)\/(-110)). Which is smaller: r or 0.15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 326*n - 2*n**2 + 50*n + 231*n + 45*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -33*g - 49*g + 62*g + 89. Is u(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424 is divided by 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00511079 rounded to five dps?\nAnswer: 0.00511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/(-10))\/((-13)\/156). Let d = h - 86. Let t = 4.07 - 0.07. What is the second biggest value in d, -0.4, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n + 23*n - 60 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/3 + 2007828*n + 1511764979094 = 0.\nAnswer: -1505871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 44*m + 269. Calculate a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-508)\/(-48)*(-5)\/15 and -157\/126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 733462, 733461, 733460?\nAnswer: 733459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595736 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 168437804 to the nearest 10000.\nAnswer: 168440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 40*y - 45. Let d be ((-52)\/8 + 5)\/(6\/(-32)). Let p be x(d). Suppose -4*q + p - 103 = 0. What is the remainder when 214 is divided by q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 - 3*d**4 + 3*d**2 + (-3*d - d + d)*(-3 - 167*d**2 + 167*d**2 + 2*d**3 + 2*d).\nAnswer: -9*d**4 - 6*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -45. Suppose -12 - g = -t + 4*q, -98 = -3*t - 2*q. Let u(k) = k**2 + 3*k - 9. Let f be u(6). What is the greatest common divisor of f and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.315*142738.\nAnswer: -44962.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 21167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(((s**(-1)*s)\/s)\/s))**18*(((s\/(s**(-2\/13)\/s))\/s)\/s)\/(s*s**(-1\/5)*s))**(-14))**(1\/27) assuming s is positive.\nAnswer: s**(-64022\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -968489450 to the nearest one million.\nAnswer: -968000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/20 - 19*u**4\/24 - u**3\/3 - u**2. Let s be i(-6). Solve 0 = -h - s + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*g = 36, -2*w + 72 = 3*w + g. Suppose -4*o + 0*o = -5*c - 196, 0 = -2*o - 2*c + 80. Calculate the remainder when o is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from ovovovvvov?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 6:54 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-75) + (-4)\/10. Suppose b - 13 = -r*b. Let j = -0.5 + 0.9. What is the second biggest value in j, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikokqiirkkrjrji. What is prob of picking 2 k and 1 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 3, v: 12}. What is prob of sequence vz?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 55086786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 4*i)*(-2*i + 6*i - 3*i) + i - i + i**2 + i**2 + 6 + 3 + 11.\nAnswer: 3*i**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 876. Let u(a) = -13*a - 2627. Let s(d) = -8*o(d) + 3*u(d). Let v(i) = -2*i**2. Determine s(v(r)).\nAnswer: -2*r**2 - 873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*f = -53*f + 411 - 91 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 4 (b) -4 (c) 0.05 (d) -1\/4 (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1595 and 725.\nAnswer: 7975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16336 = 3*q - 43919. Suppose 9*u - q = 14*u. Let k = -24035\/6 - u. Find the common denominator of k and -31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = 7*i - 2*i + 199 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517495 is divided by 34499?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33a8c - 0?\nAnswer: -33a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:12 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 != 4556359\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v - 5. Let k(o) = -3*o - 6*o + 6*o**2 + 2*o + 7*o. What is x(k(t))?\nAnswer: -24*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - b)*(162*b - 115*b + 110*b + 81*b).\nAnswer: -238*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - 4 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 18\/7*k**2 - 2\/7 + 22\/7*k**3 + 2\/7*k + 8\/7*k**4 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2. Let r(z) = -15*z + 15*z - 2*z**2 - 851 + 731. What is t(r(g))?\nAnswer: 12*g**4 + 1440*g**2 + 43200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwiapabv. Give prob of picking 1 w and 2 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + 181?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 513?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 24)*(-2*p**2 + 2*p**2 - p**2) + p**2 - p**2 + 2*p**2 as c*p**2 + q + s*p and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 386*b**5 + 6*b**3 - 401*b**2. Let q(u) = 2317*u**5 + 35*u**3 - 2408*u**2. Let m(c) = 35*f(c) - 6*q(c). Find the third derivative of m(z) wrt z.\nAnswer: -23520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2 - 15\/(-7)). Let v be (2 - 4 - -9) + -10*(-38)\/(-95). Solve i + 0*i = -4*n + p, 4*n - 1 = v*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -548 + 555. Let b be ((-4)\/(-3))\/(8\/12). Suppose 0 = -0*v + b*v - 6. Calculate the smallest common multiple of v and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3233 rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/24 - 754\/(-8) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300131211 (base 5) to base 10\nAnswer: -1177056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*s**2 + 27*s**2 - 516*s**2)*(2 - 3 + 0)*(-6*s**3 + 3*s**3 + s**3 + (-s**3 + 2*s**3 - 2*s**3)*(0 + 3 - 5) + 3*s**3 + 2*s**3 - 4*s**3).\nAnswer: 603*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14364 and 4032.\nAnswer: 229824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2307+4876135136\nAnswer: 4876137443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 4. Let y be m\/(-3)*(-2 + 2). Solve y = 3*w - 2*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005135 to 6 decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -7698981, -3, 4 in increasing order.\nAnswer: -7698981, -3, -3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 - -0.77?\nAnswer: 162.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -217*f + 202*f + 270. Sort 5, f, 1 in descending order.\nAnswer: f, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - u + 8 + 9, -5*k - 2*u = 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15701668337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*u + 44, 0 = -851*u + 855*u - 2*h + 28 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d - 9. Let g(s) = -5*s - 4. Let y = 64 - 61. Let k be 84\/8*(-4)\/6. What is k*g(h) + y*u(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -337907 and -86?\nAnswer: 29060002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 451629198 or 451629196?\nAnswer: 451629198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 7 - 5\/6*u**4 + 0*u**3 + 1\/4*u**5 + 0*u**2 + 20*u. Let d(t) be the first derivative of y(t). Solve d(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74160 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-8))\/(2\/8). Let y = o + 9. Calculate the remainder when 74 is divided by -2 - 3\/y*-18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 8*i - 3504. Suppose -5*u + z = -i, -2*z - 3 = -z. 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 49559 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: Suppose -6*y + 3 = -5*l - 2*y, -3*l - 3*y = -9. Let d be (3 - 0) + (l*-2 - -2). What is the third derivative of -d*o**2 + 9*o**3 + 272 - 20*o**2 - 272 wrt o?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4201 + 267.\nAnswer: 4468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 5. Let t be y(6). Let g be (-6)\/(-4) + (t - -1). Sort 5, g, -4 in increasing order.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*j + 695 = -561, 5*c - 3*j = 1578. What are the prime factors of c?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 3*p**2 - 5*p. Let b(x) = -x**3 + x**2 + x + 1. Give 2*b(j) + t(j).\nAnswer: -j**3 - j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.7492 and -3.9586501?\nAnswer: 10.7078501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -23*v + 37409. Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + o + 278 = 0, -172*o + 168*o = k - 293. Solve -13*u + k = 333 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, 47, -1.73, 4, -0.1 in increasing order.\nAnswer: -2, -1.73, -0.1, 4, 11, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x - 15138 = -36*x + 183*x + 309*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1256873, 2513728, 3770583, 5027438, 6284293?\n\"Answer: 1256855*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:47 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - (-1 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(17) + 0)**2 - (4 + (sqrt(153)*2)**2 + sqrt(153)).\nAnswer: -490 - 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - 1 + 0*g**2 + 89*g - 88*g - 4*g**2 - g**3. Let n(z) = 8*z**2 + 8 - 461*z + 217*z + 6*z**3 + 236*z. Give 3*n(b) + 24*s(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(2\/5)*x))\/x*x)**(1\/9)*x**0*x**(-2\/3))**(-38) assuming x is positive.\nAnswer: x**(1216\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3\/2, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + 0 + ((0 + sqrt(704))**2 - sqrt(704)) + sqrt(704).\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*x = 44, 0*n + 4*n = 3*x + 84. Suppose 215 = -3*g + 920. Let o be (-4)\/n + g\/45. Solve -o*b = -b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -99*d + 2. Let p(l) = -2*l**2. Calculate y(p(g)).\nAnswer: 198*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*n**4 - 310*n**3 - 3985*n**2 - 6660*n + 6300 = 0. What is n?\nAnswer: -7, -3, 2\/3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 1, t: 3, v: 2}. Give prob of picking 1 v and 1 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -6*h**2 - 2*h - 4. Does 11 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-495)\/(-825))\/(2\/((-20)\/(-22))).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/2, 264.48?\nAnswer: 264.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.9 or 29\/3?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from {w: 3, y: 2, i: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -3)*(2 + 3). Let x(g) = 2*g - 7. Let b be x(u). Suppose 15800 = -b*m + 2*m. Round m to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -1, -0.1, -0.37, -8, 9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3079)\/((-2)\/10). Suppose -3*a + 2*t + 9238 = 0, 2*t - t = 5*a - h. Is a\/(-10)*(-15)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-1\/8)\/z))**5*z**(2\/27)*z*(z\/(z*z**(-1\/3)))\/z assuming z is positive.\nAnswer: z**(223\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*v = -117*v - 12. Solve 6 = v*w - 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3946120, 7892217, 11838314, 15784411, 19730508, 23676605?\n\"Answer: 3946097*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 18*d**3 + 5*d**2 + 5*d + 2. What is c(-2)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/128)\/(96\/5760))\/(3\/(-4))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at most as big as -2\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831*j + 417*j + 413*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 91 = x. Suppose -17*k + x*k = -12. Differentiate 18*m**3 - 14*m**3 + 5 + m**k wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242022 or 19?\nAnswer: -242022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -247*o. Let p(n) be the third derivative of 3*n**4\/4 - 968*n**2. Determine c(p(u)).\nAnswer: -4446*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, k: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -58520946*t**2 - 8 - 3*t + 4*t**3 + 32*t + 58520943*t**2 as m*t**3 + q*t + h*t**2 + c and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3378 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 1)*(-t**3 + 80*t**2 - 80*t**2 - 21).\nAnswer: -7*t**3 - 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 27*k**3 - 13*k**2 - 13*k + 8. Let c(x) = 2 + 6*x - 3 - 7 + 4 - 13*x**3 + 6*x**2. Let r(j) = 13*c(j) + 6*o(j). What is the derivative of r(w) wrt w?\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 1)*(2 + (-25)\/15). Let b(t) = -6*t**3 - t**2 - 2*t + 1. Does 23 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**3 - 10*q**2 + 29*q + 9. Let c(i) = 2*i**3 + 3*i**2 - 10*i - 3. What is -6*b(a) - 19*c(a)?\nAnswer: -2*a**3 + 3*a**2 + 16*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1778*f**4 - 183*f**2 + 127477*f - 2.\nAnswer: 21336*f**2 - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 - 8*s + 1. Let v be b(2). Which is greater: v or -9\/34?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 52*f - 9913 = 0. What are the prime factors of f?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o**(-1\/8)*o))\/o*o)\/(o\/(o\/(o\/((o*o\/(o\/(o**9*o)))\/o)*o))))**34 assuming o is positive.\nAnswer: o**(1241\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {k: 1, w: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*z = -64*z - l + 2561, -2*l + 1282 = -2*z. Let x = -641 - z. Sort x, -4, -24.\nAnswer: -24, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4482 times 0.6\nAnswer: 2689.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 + -30514?\nAnswer: -30929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 18*x**2 + 4. Let i(r) = 52*r. Determine z(i(o)).\nAnswer: 48672*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 66 = 5*x + 3*q, 24 = 2*x + 2*q. Calculate the greatest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 83309823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*m = 15, 3*n - 4*m = 4*n - 20. Suppose n = -2*b - 0*b + 14. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 3 + 0)*(3*j - 3*j - j)*(-1 + 4 + 0) in the form l + f*j and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/4)\/((-1)\/4). Let t = 1443 - 1441. Is 11 a factor of ((-5 - k) + -1)*(112 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 35*i - 452. What is q(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(45))\/sqrt(9)*-1 - -4*(sqrt(5) - (0 + sqrt(5) + -1)))*-2*-2.\nAnswer: 16 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1739, 1753, 1793, 1871, 1999, 2189, 2453?\nAnswer: 2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 138356 = -7836. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*g + 155*g = -z + 82, 4*g - 6*z - 120 = -2*z for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6530000 to the nearest one hundred thousand.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3*3\/(-15)). Solve q = f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 196911 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7448589 * 17\nAnswer: 126626013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)*h**(-2)*(h*h\/(h\/(h\/(h**(-30)*h)))*h*h)\/(h**(-27)\/h) assuming h is positive.\nAnswer: h**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*r**4 - 1432432*r**3 + 8843794*r - 1.\nAnswer: 528*r**2 - 8594592*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 15*m - 6. What is x(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142571 - 142408.909. Let f = j - 162. Let l = -0.191 + f. What is the closest to l in 2, 3, 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -65*s + 14. Let p be u(-3). Let c = -97 + p. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:45 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 141*u - 141*u - 3*u**2 as t*u**2 + w + z*u and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.3 (c) 13.3 (d) -0.14 (e) 1\/5 (f) 0.01 (g) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgg when three letters picked without replacement from {r: 2, d: 6, g: 3, b: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 5418*m**2 - 467145*m - 6075024.\nAnswer: 3*(m - 1889)*(m + 16)*(m + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:29 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4838.03775 rounded to the nearest integer?\nAnswer: 4838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-10))\/(6\/45). Let y = l - 1. Suppose -3*t = -7*a + 3*a - 26, 0 = -y*t - 4*a + 54. Solve 6*i - t = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.44 + 3.51. What is the second smallest value in -2\/5, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 5*b + 2*c, -479*b = -499*b + 2*c + 190 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1241.\nAnswer: 3\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gag when three letters picked without replacement from agssag.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-462)\/(-1848) + (-2)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2.5. Let s = 304 + -304.1. Which is the nearest to -2\/5? (a) s (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.177 - -0.127. Let o = 4.9868 + -5.0368016. Let q = a - o. Round q to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let k be 7\/(-7)*(-6 - -1). Put 1, k, r in descending order.\nAnswer: k, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 2. Let o be x(5). Let h be o\/20 - 4\/10. Let d be (-5)\/4 - 1\/(-4). Is d less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09854 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 f when four letters picked without replacement from fbfffbfbffbbo?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {q: 1, g: 3, u: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/433 and -43\/3642.\nAnswer: 1576986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -507*c**3 + c**2 - 4*c - 1. Let p(v) = 10*v + 67. Let f be p(-7). Is j(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 36*q**2 + 33*q + 178. Let m(k) = 16*k**3 + 1. Calculate the remainder when r(37) is divided by m(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10022403 - -11?\nAnswer: -10022342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 8*b + 11. Let t be o(7). Suppose -3*x = -127 + t. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -396, -600, -824, -1074, -1356, -1676?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 12) + 18 + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2213*w + 166. List the prime factors of z(6).\nAnswer: 2, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 8, 0 in decreasing order.\nAnswer: 8, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 5:08 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261 divided by 87.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-10 + (19 - (-7 - -7)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-75)\/10)\/((-4)\/((-192)\/(-9))). Let r be i\/(-88)*3*4\/(-30). What is the closest to 0.1 in r, 1, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/60 + w**5\/60 + w**4\/12 + w**3\/3 - 7*w**2. Let s be f(-1). Is 8 a factor of 6\/s*3\/(-2) + 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/28*2\/5. What is the nearest to -0.1 in -5, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25197060 divided by -35290?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.617, -3, -0.08, 0.3, -3\/220?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126 - 116. Suppose h*b - 4230 + 1260 = 0. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/4))**(-3\/4)*k**(-3\/10)*k\/(k**2\/k))\/(k**(1\/11)\/k*k**5*(k**1)**(-44)) assuming k is positive.\nAnswer: k**(34361\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -332 - -335. Solve -h*p - 113 + 110 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*u**2 + 1 - 1.\nAnswer: 440*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Suppose -3*s = -5*y + 11, l*s - 2 = -5*y + 27. Sort 1, y, -1 in increasing order.\nAnswer: -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/42)\/(24\/18 - -1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 - 2031192*h**2 - 343813776255*h - 687619427766 = 0. What is h?\nAnswer: -338531, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 70*r + 217. Let a be t(-3). Solve -34*f - 246 = a*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 48, -1.\nAnswer: -11, -1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5152 + 1?\nAnswer: 5153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(208))**2.\nAnswer: 8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/5 (b) -4 (c) 9\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:23 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + 9. Suppose 0*b - 42 = -r*b. Calculate the remainder when b is divided by (-76)\/(-8) - 6\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 4*v - 1. Let w be f(-3). What is the third derivative of w + c**2 - 3*c**5 - 14 + 0*c**5 wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Suppose -3*n + 89 = b, 4*b + 2*n + 0*n - 326 = q. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -44. Solve x*c - 23*c + 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -278 and -0.319.\nAnswer: -278.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/15 and -67\/8708.\nAnswer: 130620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 4820*a**2 + 1079605*a - 7322770.\nAnswer: 5*(a - 619)*(a - 338)*(a - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 5421.1.\nAnswer: 5422.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 1 = -2*v, 197*x + 6*v = 197*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 131 - 41 = 0. Let n be (4\/j)\/(-1 - 30056\/(-29832)). Let u = n + 92\/5. Is u at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.636 + -2.63602206. What is l rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174429494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/4 >= -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9268 by 662.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*f - 610, 5*h + 4*f - 372 = -1114. Let i = 1563\/10 + h. Calculate the common denominator of -83\/10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (223 + 8*h - 223)*(3*h - h + 0*h) - 6*h**2 + 2*h**2 + 2*h**2 as y + a*h + u*h**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236 - 235 + 2*l**2 - 3*l**2 + 6*l to k*l + y*l**2 + d and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9*-337\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -429, -493, -557, -621, -685, -749?\n\"Answer: -64*k - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1.2. Let b = 955.2 + -1417. Let d = -462 - b. What is the biggest value in a, -5, d, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 7. Let m(p) = 2. Let q(o) = 18*m(o) + 4*s(o). Let j(i) = -i**2 - 3. Calculate -8*j(v) - 3*q(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. What is the nearest to n in -2\/19, 0, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 319 divided by 2\nAnswer: 319\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 19.993. Let g = 0.207 + k. What is the closest to 0 in g, 3, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.095?\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(3\/2)\/c*c)\/c**(22\/5))**(-44))**(-1\/20) assuming c is positive.\nAnswer: c**(-319\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -x - 18, 5*x - 4 = -k + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 t, and 1 h when four letters picked without replacement from {d: 5, b: 1, t: 2, h: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 40 = -5*s. Let k(v) be the first derivative of -7 - 5\/4*v**4 + 0*v - 7\/3*v**3 + s*v**2. What is the third derivative of k(x) wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/12 + 4\/6. Let l = -31.1 + 31. Which is the closest to l? (a) -4 (b) -1\/8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 611, 856, 1369, 2282, 3727, 5836, 8741?\nAnswer: 12574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-56)*1*28. Let k be (-2)\/4*(-6)\/(-69). Which is the fourth smallest value? (a) k (b) 0 (c) i (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4121, -8247, -12375, -16505, -20637, -24771, -28907?\n\"Answer: -i**2 - 4123*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 741302 + -591?\nAnswer: 740711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) + 7\/2. Let x be (-8)\/((-10)\/10) + -1. Suppose -4*j + 9*j - x = 3*b, v*j - 7 = -b. Solve 5*k + 8 = j*a + 2*k, 12 = 4*a - 5*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 216.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 6*q - 12. Let d be l(-8). Solve 4*s + 4 = -2*w + d*w, -15 = -4*w + s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1291846300 divided by 4\nAnswer: 322961575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/(1\/207). Suppose a - 4*o = -4*a - 76, 4*a + u = -5*o. Which is bigger: a or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 3:11 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 3927218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8*-3 + (-1 - -1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**3 - q. Let z be p(-1). What is the units digit of (20\/z - 2)*78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*z - 2 = -1, -5*m = z - 23. Calculate the smallest common multiple of 6\/((3 - m)\/(-2)) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 + q**3\/3 + q**2 - 7*q - 60. Is 11 a factor of n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1817, -0.0297, 4\/5, 0.2 in descending order.\nAnswer: 4\/5, 0.2, -0.0297, -1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -6485\nAnswer: 6485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = v - 0*v. Suppose 5*h = 9*h - 4*u - v, -5*h = -4*u - 208. Suppose -s + 3*s = h. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-3*(-20)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5121000 to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 627 and 15667267.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32225?\nAnswer: 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131916*x**2 - 19*x + 5704997?\nAnswer: -263832*x - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/5 - -2)*-1. Calculate the greatest common divisor of l and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.844534944127 and 3.3?\nAnswer: 4.144534944127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4\/5))**(-33)*f**(-13)\/(f*f**(-7)) assuming f is positive.\nAnswer: f**(-332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371767 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (48 + -27 + -5 + -9 + 32).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -176\/7. What is the closest to j in 2, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14759634 by 1.\nAnswer: 14759634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 + 1 = c, u = -2. Let g be (1\/(-2))\/(c\/(-25586)). Let m = g - -2676. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 7*v**2 + 8*v + 7. Let j(f) = f**2 - 193. Let p be j(-14). Suppose -4*m + 7 = -p*a, -5*m = -3*a - 2*a - 15. Determine k(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 95 + 0 - (5 - (8 + -1)). Suppose 93*d = r*d - 18188. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*v - 343*v + 3679370. What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*y + 3*g, 2 = -3*y - y + 2*g. Let x be 1\/1 + (-2)\/y. Suppose -4*n + 23 + 1 = x. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -44, 8, -131, 3, 0 in descending order.\nAnswer: 8, 4, 3, 0, -44, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -642 (base 11) in base 3?\nAnswer: -1001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3752191 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 11, 2\/13, -2\/5, -1, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1853 + 2238. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 60.6773?\nAnswer: -42.47411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhddhhhhhhhddh. Give prob of sequence hdhh.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcpj when four letters picked without replacement from ccjcpcppc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4.94. Let d(f) = 135*f - 297. Let w be d(11). Let h be (-6)\/(-4)*(-176)\/w. Sort h, 0.2, p in decreasing order.\nAnswer: 0.2, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/105 + (-5)\/(25\/(-12)). Suppose -526 = -2*h - r, h = 7*r - x*r + 245. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let o(b) = -34*b**2 - 9933*b. What is o(z(l))?\nAnswer: -34*l**2 + 9933*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = 5*o, -5*q + 10 = o + 20. Let y(b) = -2*b**3 + 3*b**2 + 6*b + 6. Let i be y(q). Solve -i*m + 17*m = -15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -448 - -449. Let o = 1 + 4. Put r, -3, o in increasing order.\nAnswer: -3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(-2 + 4*sqrt(288)*-3*-1*4).\nAnswer: -3 + 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.955762nm to meters.\nAnswer: 0.000000008955762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 868555 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 0 divided by 225140?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2}. Give prob of sequence aa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + -4. Let q be (2\/4)\/((-15)\/u). Find t such that -q*t**4 + 2\/5*t**2 + 0 + 2\/5*t - 2\/5*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*l = -9, -11 = -2*v - 4*l - 5. Suppose -1126 = -5*u + v*c, -c + 670 = 6*u - 3*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20237056 and 91066752.\nAnswer: 182133504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 2*g**3 + g**3 + (0*g + 0*g - g**2)*(34*g - 35*g - 19*g)*(1 + 0 + 0).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 12*a - 3. Let u be c(12). Let v be u*1*(-5)\/3. Suppose -4*m + 810 = -v*m. What is m rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -86*o**2 - 7*o + 8. Let k be i(-4). Let r = -529\/18292 - 12\/269. Find the common denominator of r and k\/(-175) - ((-6)\/5 + 1).\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g - 416. Is g\/68 + (-4)\/34 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 70596?\nAnswer: 2, 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/175 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 23*v - 194 = 0. Suppose -3*u - 8 = -26. Let y = v + u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 412274 and 278.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 111 - 66. Solve -l = 4*m - f, -m + 0*f - 8 = 4*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r + 37*r + 104537 - 715257. 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 the closest to -1\/2 in 0.4, -63\/4, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8210893 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6340558 divided by 3\nAnswer: -6340558\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -214\/7, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5708*q + 5706*q - 108 = 9*z, -5*q - 270 = 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - 0.3. Let p = -5.9 + 5.8. Suppose -1 = d + 2. What is the biggest value in d, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-176) + (-18)\/(-99). Let o = 37\/8 - s. Let o*z**4 + 7\/2*z**5 - 5\/2*z**3 + 0 - z - 9\/2*z**2 = 0. Calculate z.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -511 - -533. Solve i - 26 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/43562 or -1?\nAnswer: 21\/43562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(6)*-2)\/(sqrt(18) - (sqrt(198) + (sqrt(198) - sqrt(198)*-2) - sqrt(198))\/sqrt(11) - sqrt(18)).\nAnswer: 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/108 and 2\/(-8) + -1 + -10*(-8)\/1536.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19143070 divided by -19143070?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-11)\/99*((-378)\/(-36))\/(-7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169170 - 112521. List the prime factors of h.\nAnswer: 3, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20586171 > 20586169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 24, -4, 5, -1 in ascending order.\nAnswer: -4, -1, 5, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1*(-1042)\/18756.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 5*p**3 - p**2)*(3*p - 4*p - p + (2*p - 5*p + 2*p)*(-2 + 3 - 2) - 75 + 132*p + 75 + 0*p - 3*p + 2*p).\nAnswer: 650*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52342544 (base 7) to base 13\nAnswer: -bb7147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 5*n - 3. Let o be t(7). Let h(y) = -y**2 + 12*y - 7. Let b be h(o). What is the second derivative of 1 - 3*c + b*c**5 - 1 wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 30, 0, 25, -22 in decreasing order.\nAnswer: 30, 25, 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 6*a**2 + 4*a - 6. Calculate l(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -0.01. Let t = -148 - -232. Let h = 85 - t. Which is the smallest value? (a) h (b) -3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 1803*n + 406350. Determine y(-450).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.5 (b) -2 (c) 11.38 (d) -4 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k - 4*f - 20, 0 = -k + f + 32. Find o such that 22*o**5 - o**5 + 10*o - 34*o + 127*o**4 + 138*o**3 - 226*o**4 - k*o**2 = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 64571.55ms?\nAnswer: 64571550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/((-1124)\/(-20232)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + (1 + sqrt(612))**2 + 0.\nAnswer: 18*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/300 - u**4\/120 - 4*u**2. Determine v so that g(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-2327)\/182 + (-2)\/(-7)). Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(13) + 2 - (sqrt(13) + (4*sqrt(1872))**2).\nAnswer: -29954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/2 - (4 - 6). What is the nearest to 1 in 0.5, -3, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d = -31*d - 11. Let z be 0\/1 - 81\/24. Let q = 355\/104 + z. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:14 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -3*c**2\/2 - 134. Let k(r) = -28*r**2. Determine h(k(w)).\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -11.9. Suppose 1 = -2*z - 1. Which is the nearest to g? (a) 0.2 (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4 + 7*o**3 - 10*o**2 - 16*o = 0.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {i: 1, u: 2, j: 2, t: 4, b: 5, q: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.749362 rounded to one decimal place?\nAnswer: -126.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73151 and 2533.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 8194cd3?\nAnswer: 8194cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61867\/9372 + -14\/781. Let b = 36617854293\/1102494580 + -1\/5011339. Let n = b - 345\/11. What is the common denominator of j and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - -14555?\nAnswer: 14504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y*y**(2\/15)\/y*y*y))\/y*y*y**(1\/4))\/(y**(-2\/17)*((y*y*y**10)\/y)\/y))**(-32) assuming y is positive.\nAnswer: y**(96008\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 2694830?\nAnswer: 2694830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -168\/5? (a) -18 (b) 0.1 (c) 1\/2 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 509\/840 - 1\/168. What is the fourth biggest value in 2\/5, r, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*s**3 - 90 with respect to s.\nAnswer: -99*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/6 (b) 5 (c) -41 (d) -3 (e) -1\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -637 (b) 2\/3 (c) 3\/29 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 0.07 (c) 1\/7 (d) 6 (e) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404661631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2)*l))**(12\/19)\/(l**0*l*l)**26 assuming l is positive.\nAnswer: l**(-964\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 20. Let o be (-1)\/(15\/(-9) + 1). Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 37*y**2 - 113*y + 62. Is g(47) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d + 0*d)*(51 - 51 - 35 + (-1 - 2 + 2)*(5 - 5 - 1) + 4 - 2 + 0).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 148?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - -36 - (19 - 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101020 (base 3) to base 14.\nAnswer: -8bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 259 = -5*g, -131 = -4*z + 2*z + g. Let y = -4 - -10. Calculate the highest common factor of y and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10926 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.77 and 26.\nAnswer: -72.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - -2.7. Which is the closest to -5? (a) 5 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (48\/(-168))\/(20\/7) + (-2146698)\/(-180).\nAnswer: 35778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 140 + 34. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 1185*d + 2358.\nAnswer: 3*(d - 393)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03268885 to 3 dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 0*y)*(y**3 + 0*y**3 + 5*y**3) - 5*y**4 + 16*y**4 - 2*y**4.\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.12 + -10. Let j = p + -0.52. Is 2\/15 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwfs when four letters picked without replacement from fwwsaiv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -464, -403, -342, -281, -220?\n\"Answer: 61*n - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:09 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-3)\/(-6)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000229743 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*i**3*k + 196*c**3*i**3 + c**3*i**2*k - 179*c**3*i - c*i**2*k - 2*c*i wrt i.\nAnswer: -12*c**3*k + 1176*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -714690000 to the nearest 1000000.\nAnswer: -715000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*t**4 + 6315712*t**3 + 17366852*t**2 + 14307590*t + 3700200 = 0.\nAnswer: -24668, -3\/2, -5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -1 + (4 - -14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -9*t**2 + 0 + 0*t + 0*t**3 + 1\/3*t**4. Let a(c) = 11*c**2. Calculate v(a(y)).\nAnswer: 88*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/35500042 and -73\/20?\nAnswer: 355000420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 9:14 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 49*n + 40. Let z(h) = -h. Let v(o) = -a(o) - 5*z(o). Let r be v(-21). Solve 4*q - r = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viqqkiggigiqkiqvgqv. What is prob of picking 3 v?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 11529, 2.\nAnswer: -2, 2, 7, 11529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -0*i + 3*i. What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -30842, 1, 2 in decreasing order.\nAnswer: 141, 2, 1, -30842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(448) - (sqrt(448) + -5*-4*sqrt(448)) - sqrt(448)) + ((2 + sqrt(448))**2 + 4)*4.\nAnswer: 464*sqrt(7) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3257 - -3257. What is the closest to c in 1.4, -1\/2, 2\/3, -60?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**9\/56 - 8*k**8\/21 + 244*k**5\/15 - k**4\/24 + 31*k**2 - 38*k. Find the third derivative of n(z) wrt z.\nAnswer: 1080*z**3 - 7680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4752)*5)\/(sqrt(432) + -1*(sqrt(432) + 3*sqrt(432)) - sqrt(432)).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 38, 30, 20, 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**4 - 3*g**4 + 8*g**2 - 7*g + 5*g**2 - 1 - 14*g - 12*g**2 as i*g**2 + t*g**4 + p + y*g**3 + j*g and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 117 = -n. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9*-0.3.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/26 - (-56)\/364. Let i(w) = -w**3 - 27*w + 239 - 2*w**2 + 60*w - 31*w. List the prime factors of i(z).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 4246.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -197, -773, -1741, -3101, -4853, -6997, -9533?\n\"Answer: -196*a**2 + 12*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/120 + 13*o**5\/30 + o**4 + 9*o**3 - 45*o**2 - 3*o. Calculate the remainder when 152 is divided by m(-25).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734038717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.943 - 0.357. Let d = -13.6 - x. Suppose 0*j + 30 = 2*j. Which is the third biggest value? (a) d (b) j (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5492, 5502, 5512, 5522?\n\"Answer: 10*g + 5482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 4 + 4)*(-3*b - 2*b + 2*b) + 0*b**2 + b**2 - 2*b**2 + (-3*b + 3*b + b)*(2*b + 1 - 1) to s*b + q + l*b**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l**2 + 140*l + 384. Determine f(24).\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-3\/4))**(-2\/5)\/((t*t*t**15)\/(t**(7\/5)*t)) assuming t is positive.\nAnswer: t**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003793300 rounded to the nearest 1000000?\nAnswer: 1004000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 10 + 1 + 1 - 5 + 4*j**2. Is n(5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/3 + 1\/3. Suppose -3*f - b*o = 9, 3*o = 8*o + 15. Solve 2*h + 17 = 5*l - f*l, 0 = l - h - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*j = -77*j - 5*l - 20, 5*j = -2*l - 36. Sort 0, 0.2, 0.4224, j.\nAnswer: j, 0, 0.2, 0.4224","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -2. Let l(o) = 8*o**2 - 12*o - 7. Let p be l(r). Let b = -11191\/21 + p. What is the third biggest value in -1\/3, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*(sqrt(4032) - sqrt(4032)*-2) + sqrt(4032)*-1*1) + 5)**2.\nAnswer: 15600*sqrt(7) + 17035225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 + -1 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 189 - 147 = 0. Let t = 14 - 10. Suppose 0 = t*s + s - 40. Calculate the highest common divisor of s and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118306115 is divided by 67105.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -6)\/(3\/(-14)). Suppose 2*n + q = -26 + 69, -17 = -n + q. Let j = c + n. What is the remainder when 17 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/4*2\/(-2). What is the lowest common multiple of 6 and p\/((-6)\/4) + 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1593916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1808 + 1808 - 56*w**3.\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -26*h - 57. Let q(b) = 12*b + 28. What is -7*q(a) - 3*s(a)?\nAnswer: -6*a - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -422*t**3 + 4*t**4 - 401*t**3 - 2 + 827*t**3 - 4*t - 2*t**2 to a*t**3 + q*t + z*t**4 + v*t**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-3)\/6 - 12\/60*-25)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-36)\/(-6) - (-14)\/(-7) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let o(m) = 4*m - 7. Let t(k) = -5*h(k) - o(k). Suppose 30*z - 36*z = -12. Calculate t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6)\/((112\/225)\/(-28)). Let o = v - -103. List the prime factors of o.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4199778 to the nearest integer?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3262*u**2*v**5 - 25*u**2*v**2 - 6*u**2 wrt v.\nAnswer: 195720*u**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 38*d = -12. Suppose 4*a - 1402 = -d*y, -1056 = a - 4*a + 3*y. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8\/5, 2\/5, 6\/5999, 1?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6))**(-2\/65))**10 assuming w is positive.\nAnswer: w**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -7.7. Let u = 356 + -360. Let r = 33 - 35. Which is the biggest value? (a) j (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47169.\nAnswer: 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**2. Let s be 3 - ((-14)\/(-18) - 2\/(-9)). Let a(i) = i**s + 8*i**2 - 9*i**2 - i**2. Calculate u(a(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 581 - 254. Calculate the remainder when n is divided by 114.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 7*b**2 + 2 + b**3 - 13*b**2. Let l be h(4). Solve -o = l*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16139 divided by -16139?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -817 + 4664?\nAnswer: 3948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.64 + 0.36. Which is the closest to 2\/7? (a) -4\/5 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 4*o**2 + 2*o - 40. Let i(a) = 2*a**3 - 6*a**2 + 3*a - 39. What is -4*i(b) + 6*s(b)?\nAnswer: -2*b**3 - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 2040.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13207\/(-4777))\/((-5)\/85).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1 + 5 - 2 - 4*t. Let d be i(3). Is (-1407)\/(-56) - (-1)\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1\/4)*i**2*(((i**(-2)*i)\/i)\/i)\/(i*i**(-3)) assuming i is positive.\nAnswer: i**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x + 2. Suppose -310*m - 119 = -630 - 419. What is t(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**19*f\/(f**23\/f))\/(f**(8\/5)\/(f\/((f\/f**(1\/2)*f)\/f))) assuming f is positive.\nAnswer: f**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, 0.03, 3, 5, 3692\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29024062 a multiple of 2780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-164)\/(-246)*(-3)\/(-40). Let u(b) be the third derivative of h*b**5 + 0 + 8*b**2 + 1\/4*b**4 + 1\/2*b**3 + 0*b. Factor u(n).\nAnswer: 3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -40 + (20 + -11 - 10) + 1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.576 + -4.776. Let d = 0.2 + 0.2. Put -0.02, v, d in decreasing order.\nAnswer: d, -0.02, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 24*j - 69.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -58*l**3\/3 - 105*l**2 - 116. What is the second derivative of x(r) wrt r?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1152, 2299, 3444, 4587, 5728, 6867, 8004?\n\"Answer: -l**2 + 1150*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 + 19*r - 19*r + 25 - 7*r**2 - 25 + (-4*r - 3*r + 5*r)*(7*r + 3*r - 5*r) + r**2 + 2*r**2 - 4*r**2 - 1 + 1 - r**2.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -361.7 - -378. Let p = w + -95.3. Let t = 82.4 + p. Which is the second smallest value? (a) 0.1 (b) 5 (c) 2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 30*g - 14*g. Suppose 5*y = 15, 2*c + 8*y = 4*y + 18. Suppose -5*b = -5*a - 1 - g, 12 = 5*b + c*a. Solve 9 = -3*r - b*h, 3*r - 7*r = h + 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48816 divided by -294.\nAnswer: 8136\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 688336046 + 688336046.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/17 (b) -4 (c) -2 (d) 413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -8, 9, 46, 109, 204?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -923, -1071, -1207, -1325, -1419?\n\"Answer: n**3 - 155*n - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 4*f + 1. Let v be c(-4). Suppose -y = -r - v, 2*y - 3*r + 2 = -0*r. Solve 3*b + y = -4, 4*b + 16 = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157883187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18499\/304 (b) -0.3 (c) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(1 - (0 - 0)). Sort s, 4, 2 in descending order.\nAnswer: 4, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4957861l to millilitres.\nAnswer: 495.7861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 342317 + 230410 = -4*x, -4*x - 114539 = -j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*c**2\/4 - 5919*c\/4 + 10665\/2.\nAnswer: (c - 45)*(121*c - 474)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((-5 + sqrt(112)*2 - (-1*sqrt(112) + 2)) + 5)**2 - 5*(4*(sqrt(112) + -1) - (-5 + sqrt(112)*2))).\nAnswer: -88*sqrt(7) + 1007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2299 (base 12) to base 2.\nAnswer: -111100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + j)*(-5*j**3 + 0 + 0) + 64507*j - 64507*j - 9*j**4 - 2*j**3.\nAnswer: -14*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose -i*r + 38 = -0*r. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + -41 + 37 + 34?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5496.332 weeks in nanoseconds?\nAnswer: 3324181593600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4942359?\nAnswer: 3, 17, 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 794 (c) -1\/4 (d) 0.1 (e) -1617\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1297000 to the nearest ten thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11.1795105 and 0.5.\nAnswer: -10.6795105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -34. Let z = h + 28. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350656118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {z: 4, u: 2, k: 6, e: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 13.49. Let j = 2.4 - r. Let z = j + -6.89. What is the closest to 1 in 5, -4\/3, z?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u**3 + 17*u**2 - u + 2. Let h(b) = -5*b**3 + 9*b**2 + 1. Let m(z) = 7*h(z) - 4*j(z). What is m(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose 0 = -6*i - 18 - 0. What is the biggest value in i, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -120 + 198. Let f(d) = -4 + 25*d**2 + n*d**2 - 52*d**2. Give f(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*t + 15, w = -2*t - w - 10. Suppose -5*z = -t*z - 55. Calculate the remainder when 20 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457212 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.953 - 0.047. Let b = f - -13. What is the nearest to 2\/3 in -4, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 2*a**2 + a + 1. Let y be s(2). Solve -g + y*g + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 2. Let s be 4\/8*(-4 - -4). Let a be n(s). Suppose -2 - 2 = w. Put w, a, 3 in increasing order.\nAnswer: w, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 689816595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -121264704\nAnswer: -60632352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/3))**(2\/35)*q**(-1\/3)\/(q\/(q\/(q*q**(-5\/4)*q))) assuming q is positive.\nAnswer: q**(-141\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -4. Let i = g + -26.945. What is i rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39187 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -21*u**5\/10 - 19*u**4\/8 - 2*u**3\/3 - 17. Let h(j) = 0. Calculate j.\nAnswer: -4\/7, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 1. Let r be u(0). Let w(h) = 5*h**3. Let l be w(r). Suppose -g + 13 = m, m = -0*m + g + 13. Solve 2*z = 5*f - m, 3*z + 6 = l*f - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(9\/4))\/(v\/(v**(-38)\/v))*v**25*v**(-2\/55) assuming v is positive.\nAnswer: v**(-3363\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.2. Suppose 7 = -3*a + 1. Is a greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 18 = -v, 0 = 3*o - 7*o + 5*v - 5. Suppose -324*s = -323*s - 32. Let m = o + s. Calculate the remainder when m is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-84))\/(6\/14). Which is the closest to -2? (a) 3 (b) -2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 46?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321197068?\nAnswer: 2, 311, 258197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0417518*20\nAnswer: 0.835036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 3*m - 2. Let y be f(4). Let j be (-1 + (-7)\/y)*6. Let c be 1 - (j - 2)*2. Solve 3*z + 6 = 0, -b - 6 = c*b - 5*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 1. Let o be z(4). Suppose 15 = 6*r - o*r. Find the first derivative of 3 - r - b**3 + 3 wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 + 2*a - 1. Let k(o) = -13*o - 55. Let r be k(-10). Let p = -24 + r. Calculate the remainder when p is divided by t(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let q = 1.9 - 2. What is the closest to n in 1, q, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 996, -5 in decreasing order.\nAnswer: 996, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3 - 3. What is the common denominator of -10\/11 and 37\/(-20) - h\/8?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*w = m, -4*m + 2*w = 20. Which is the second biggest value? (a) 1\/21 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105.755, 0.3, -1919, 3\/5 in increasing order.\nAnswer: -1919, 0.3, 3\/5, 105.755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-144)\/(-20))\/(-18))\/((-3 + 5)\/(-160)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1120020 (base 3) to base 5\nAnswer: 14030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - j = -9*j - 6*j - 533 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/7, 2, -4, -1\/4, -7552 in decreasing order.\nAnswer: 4, 2, 2\/7, -1\/4, -4, -7552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) + 20\/(-8). Let d be m*3\/12*0. Are 2\/15 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:01 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v + 4*g + 5 = 0, -4*v + 10 = -2*g. Suppose -6*t = 9 - v. What is the closest to t in 0.2, 4, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34650?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 880925 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 w(j) = -2*j - 60. Let t be w(18). Suppose 3*p + 0*z + 3*z + 129 = 0, -4*p = -z + 162. Let s = p - t. What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/2 + -3)*-4*2. Suppose -5*d + 6 - 1 = 0. Let q be 1\/(m\/(-3) + d). Put 0.1, q, 5 in descending order.\nAnswer: 5, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 + -122. Let d = 70 - f. Calculate the remainder when 10 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 544 by -68.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 2. Let w be (-8)\/(-36) + (-2)\/9. Let o be i(w). List the prime factors of ((-4)\/8)\/(o\/(-176)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2805 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1.25, -5, 0.5, 2\/13 in increasing order.\nAnswer: -5, -3\/7, 2\/13, 0.5, 1.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -19. Suppose 0 = -4*p + y + 41, -3*p + 42 = a*y - 2*y. Suppose p*h + 6 = 17. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a + 40 = 22 + 18. Is a at most as big as -4\/2403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83*4\/2628 + (-2)\/(-9) and 49\/11.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26e1 (base 16) to base 14.\nAnswer: -38ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25565880 divided by 885.\nAnswer: 28888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2 - -16 - (-24 + 22).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -7*g**5\/15 - 67*g**4\/3 - 640*g**3\/9 + 72*g**2 + 7395*g. Let x(s) = 0. Calculate s.\nAnswer: -27, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 342*k - 10510. Determine t(-133).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5008.88999 to the nearest ten.\nAnswer: -5010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125483 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/4 - 2*y**3 - 2*y**2 + 1. Let m be p(-6). Solve -h + 4*x + m = -0*h, 2*x = -h - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -165693109?\nAnswer: -165693109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-45)*1\/((-8)\/(-15))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/630 and 11\/319500.\nAnswer: 2236500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/20 + u**4\/3 + 2*u**2 + 17*u. Let k(m) = m**2 + 1. Determine -4*k(c) + z(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.24 from 15748.709.\nAnswer: 15745.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 3, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 38*i - 96.\nAnswer: -2*(i + 3)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 - ((12 - 111) + 88).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3091, 12329, 27727, 49285, 77003?\nAnswer: 110881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 40 = 1249*k - 1254*k, 4*k - 7*q + 38 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 2*m**2 + 2. Let g be x(-2). Let j be 1\/((-10)\/(-232))*(-75)\/10. Let n = 174 + j. Sort n, -7, g in descending order.\nAnswer: g, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1. Let b(m) = 2*m - 4. Let r(x) = 1. Let u(y) = b(y) + 2*r(y). Let d(k) = -k + 3. Let z be d(6). Let j = z - -4. Determine j*u(n) + f(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k - 266 = 22*k. Suppose 12*a = 55 - k. Solve 2*u - 14 = -4*n, -a*u - 7 = -4*n + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + 2*x**2 - 4*x + (-3*x + 4*x + 3*x)*(4*x - 19*x + 5*x).\nAnswer: -38*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + 209*q**3 - 2 + q**2 - 120*q**3 to d*q**3 + p*q**2 + w*q + a and give d.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -23) + 10 + (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*((-15)\/10 + 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222786 is divided by 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 406 = -1565*p + 1574*p. Solve -15*d = -24*d + p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 433934 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s + 1120. Suppose -553 = -4*w - j, -3*w - 4*j = -w - s. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 90*j - 35*j - 55 - 45 = 44*j, 4*d - 13*j + 120 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 30084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 6*q = 5*a - 447, 3*q + 75 = a. Let f(t) = -2*t**2 + 4*t**2 - a + 54 + 51. Let m(l) = 2*l. Determine m(f(x)).\nAnswer: 4*x**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 515, 879, 1389, 2045, 2847, 3795?\nAnswer: 4889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -27. Let i(z) = 30*z**2 + 23*z + 9. Is i(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35.872 + -1631119.304\nAnswer: -1631083.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - d)*(-5*d**3 - 2*d**3 - 3*d**3).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 25 = -5*k. Let o = 31 + -15. Suppose -5*s = 3*z - o, -5*s - 2*z = -9 - k. Solve s*g + 0*x = 4*x + 14, 2*g - 19 = 5*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2150, 3, 7\/3, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 31*g + 116. What is the second derivative of 333*w**g - 335*w**4 - 9*w - 87*w + 8*w**5 wrt w?\nAnswer: 160*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885.29458 rounded to the nearest ten?\nAnswer: -1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-12)\/(-33))*-1. Let i = t + 8. Calculate the greatest common divisor of 152 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 15 = i. Does 17 divide (1*41)\/(i + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-1*(1 + 0)). Let u be 134676\/72*(-2)\/(-84). Let w = 185\/4 - u. Is c > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4449765.\nAnswer: 3, 5, 296651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51259 or 51153?\nAnswer: 51259","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + 1 + sqrt(252))*4 - (0 + sqrt(252) + 2) - (4 + sqrt(252)*-4)*-3)*-3 + -2)**2.\nAnswer: -14400*sqrt(7) + 907600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1774*k**4 - 641*k**4 + 5597*k**4 + 1815*k**4)*(0*k + k + 0*k).\nAnswer: 8545*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + (-12 - -7) + 0 + -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1111022020100?\nAnswer: 1111022020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 1580060?\nAnswer: -1580071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-124200)\/250)\/(-46))\/(6\/(-15)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*p = d - 3, -4*d - 3*p - 13 = 0. Let j be 1 + (-3)\/(21\/(-14)). Suppose 4*g = 2*f + 14, 0 = -j*f + g - 16 - 0. Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1349 > -30997\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15 + 71058*q - 450*q**5 - 144 - 71064*q - 12*q**4 - 2*q**4 + 60*q**5 wrt q.\nAnswer: -7800*q**3 - 168*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4 - 20*j**3\/3 + 16*j**2 - 16*j - 10. Let z(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21390 and 30?\nAnswer: 21390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13085022479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -2, -95\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-20) + 0 - 0. Sort 2\/13, -2\/3, 3, w.\nAnswer: -2\/3, w, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25347 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12728710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3496 and 47652?\nAnswer: 2191992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d - 42 = 33*d. Calculate the highest common divisor of d and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/845)\/((-285)\/(-1482))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1777, -7095, -15965, -28393, -44385?\nAnswer: -63947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675\/4*s + 0 + 315*s**2 - 249\/2*s**3 - 21*s**4 - 3\/4*s**5 = 0. What is s?\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 2\/21*p**7 + 2\/3*p**4 + 2\/3*p**3 - 2\/15*p**6 + 0 - 2\/5*p**5 - 2*p**2 + 12*p. Determine x, given that t(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -1*sqrt(110))\/sqrt(5))\/sqrt(2)*5 - ((-1*sqrt(132))\/sqrt(12)*-1 + -2).\nAnswer: 2 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 794.\nAnswer: 6352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32005228303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 2*s - 13, -1277*o + 1279*o + 2 = 3*s for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 23. Let g be m(7). What is the highest common divisor of g and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1750*m**4 - 922*m**3 + 20608768 wrt m?\nAnswer: -7000*m**3 - 2766*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -25. Let g be 20\/15*(-9)\/(-3). Solve 0 = 4*k + 20, -4*c + l*c + 11 = -g*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16430095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -387624*q**2*r - 21*q**2 + 11*q*r + 1754*q - 17 wrt r?\nAnswer: -387624*q**2 + 11*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -3)\/(1\/(-3)). Let x = 1 + r. Let k(v) = 2*v - 16. Is k(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {j: 3, c: 11, u: 1}?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 + 2. Let q be w(-4). Suppose -2*g + h = -13, 20 = q*g + g - h. Suppose c - g = -2. What is the remainder when c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 25 = 9*h. Let x = -1818 - -1961. Find the third derivative of -j**h - x - 11*j**2 + 143 wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 9610\/7 + 134\/7*g**2 - 2\/7*g**3 - 2542\/7*g = 0?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.14, 283, -5, -0.09, 0.3?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -131858.700799 plus 3224?\nAnswer: -128634.700799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z - 70. Let d(y) = y + 14. Let k = 4076 + -4079. Determine k*n(h) - 16*d(h).\nAnswer: -4*h - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5041, 5079, 5117?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35182486, -35182482, -35182476, -35182468, -35182458, -35182446?\nAnswer: -35182432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44096383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1, 56, 8, 140, -2 in increasing order.\nAnswer: -2, -1, 8, 30, 56, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15520217.\nAnswer: 227, 68371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and -43.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*o**3 + 245*o**3 + 267*o**3.\nAnswer: 689*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (18 - (-9 + (-2 - -20))) - 36.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82937.95l to millilitres.\nAnswer: 82937950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3826542458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = z + 23, -4*n - z = -5*z - 32 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.291 (b) 52684 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 106974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3314 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -130. Calculate the highest common factor of 40 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*w + 5 = 4*j, -5*j + 25 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 3*a. Let f(k) = -5*k + 0*k - 2*k**2 + 0*k. Let s(z) = z**3 - 7*z**2 + 4*z + 7. Let m be s(6). Give m*q(t) + 3*f(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/68751 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + 14 + (-234 - -73)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22424.\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r - 68*r**2 + 129*r**2 - 210*r**2 + 779 - 358*r**2 - 400*r**2 wrt r.\nAnswer: -1814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 7*x + 92. Let h = x - 124\/3. Let 4\/3*l**4 + 0 - h*l**5 + 0*l**2 + 0*l + 0*l**3 = 0. Calculate l.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, a: 3, h: 6, w: 2, o: 2}. Give prob of picking 1 a and 1 h.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 17*j - j**2 + 17*j)*(-j + 15*j - j).\nAnswer: -13*j**3 + 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3. Let u be r(1). Let 5*w**3 - 2*w**4 - 5*w**u + 2*w**3 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2886 and 20757?\nAnswer: 539682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/7 + 954\/56 and 27\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1733 and 1734 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663577.8 micrograms in nanograms?\nAnswer: 663577800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/10773 and 74\/1865835.\nAnswer: 248156055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*w + 48. Suppose w*t + 17 = 59. Let q = 5 + -5. Solve 4*g - 3*z + 10 = 0, 2*z + t + 1 = q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8268, 65917, 222236, 526509, 1028020, 1776053, 2819892, 4208821?\nAnswer: 5992124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405553 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 25*p**2 - 16*p + 114. Give q(8).\nAnswer: 1586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1\/14 (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 49\/4 of a millisecond?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -367*m**4 + 466820*m**3 + 2531759*m**2 + 5 wrt m.\nAnswer: -8808*m + 2800920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 13*k**2 + 2. Let n be i(-13). Suppose 1 = n*f - 9. Let p = f - 2. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Suppose -w*d + 4 = -8. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -33.48. What is i rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3663269 milligrams in grams?\nAnswer: 0.0003663269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 37*k = 70000. Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21*o - 81. Let p be y(-4). Let s(v) = -v**3 + 7 + 0 - v**3 + v**p + 6*v**2. Let x(j) = -j**2 - 9*j - 8. Let q be x(-7). Calculate s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*o - 6 = 0, 2*o - 8 = v - 3*v. Let g be 3*v\/3 - 57. Let i = -38 - g. Solve -2*k + 6 = 4*j - 4*k, 0 = -3*j + 4*k + i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3 (b) 5 (c) 0.1 (d) 4\/205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 6 + -1 - 9) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-84) + (-72)\/(-7). Is l at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4904083753 a multiple of 6648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-20) + (-42)\/(-10). Let b = 17 - 21. Sort b, c, 3, 4 in decreasing order.\nAnswer: c, 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/f**(-1))*f*f)\/f**(2\/5))**(2\/11))**(-6) assuming f is positive.\nAnswer: f**(24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74690 and 7?\nAnswer: 74690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + 12. Suppose 2*f - 27 = -v. Round f to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -7*r**4\/12 + 17*r**2. Let p(f) = -f**2. Determine i(p(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + k = 5, f + 2*k + 2 + 3 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26000678 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -1, 439, 12, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3964\/(-420) - (-23)\/(69\/18). Let i = 100\/21 - c. Which is smaller: 9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 6*n. Solve 2*i + i = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1023 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-77) - 35245\/(-55). Let s = 1392 - n. What are the prime factors of s?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 863801, 3455190, 7774177, 13820768, 21594969, 31096786, 42326225?\nAnswer: 55283292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16*-5*4\/(-30)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -18. Suppose 0 = -5*i + 4*i + 5. Suppose 15 = i*j + b + 3*b, 5*j - b - 15 = 0. Sort -2, j, h in increasing order.\nAnswer: h, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 + 6 = 0. What is the common denominator of 35\/2 and b\/(-60) - -2 - 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2147*a - 4*v + 134 = 2141*a, 3*a = -3*v + 108 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/9280 and 125\/114144.\nAnswer: 1141440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211032 (base 4) in base 14?\nAnswer: -3bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-301)\/(-23) + (-426)\/138 + 3. Suppose 3*r + 47 = -37. Let x be r\/(-24) + (-2)\/3. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*b - 171 + 171.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4146 is divided by 516.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 2449 (b) -0.3 (c) 0 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 23556.\nAnswer: 23556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 209*h**2 - 122*h - 807. Give n(-105).\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h + 28. Is 13 a factor of n(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.2, -1, 0.4 in increasing order.\nAnswer: -1, -1\/2, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10972196 take away 0.082702?\nAnswer: -10972196.082702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n + 42 = -510 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(28) - ((sqrt(21) - sqrt(21)*-5)\/sqrt(3))**2.\nAnswer: -248 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {n: 1, j: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -823350000 = -36*c + 31*c. Round c to the nearest 1000000.\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from ovvifi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 272 - 272.2. Which is the closest to i? (a) 2 (b) 0.01 (c) -4\/3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -9.1. Which is smaller: 0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**3 + 2028*b**2 + 10240*b = 0?\nAnswer: -5, 0, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61358*z**4 + 14*z**2 - 171*z + 2?\nAnswer: -1472592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z - 60. Let w be v(-8). Let c be 7*w\/42*-3. Put 1, c, -6 in descending order.\nAnswer: 1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 1, 0, -3, 3, -86, -564?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (280\/88)\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9\/4)\/s)**(-5\/8))**(-42) assuming s is positive.\nAnswer: s**(-1365\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 871.7612ml?\nAnswer: 0.8717612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 2 - 357503) + 54\/(-621)*-46. What is c rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jllljjll. What is prob of picking 4 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 1 (c) -0.105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 7.8. Sort y, -2, 2\/15 in ascending order.\nAnswer: -2, y, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6850 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {b: 1, m: 2, k: 3, s: 3, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-50)\/(-75))\/(15\/9))\/(2\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 224. Which is the third smallest value? (a) 6 (b) -5\/34 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*a + 1 = g, 0 = -4*g - 5*a + 9. Let z = -1 + g. Suppose 3*j - 2 = 3*b + 1, z = -b - 3*j + 15. Solve 2*o = -b*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6855 + 1484 + 72*m + 5371.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-14)*(-2)\/(-14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -47150038 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 9*z - 11*z + 30 = 0, 9 = -2*n + 3*z for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29287?\nAnswer: 29287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:31 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d1 - 19?\nAnswer: 3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 15 = -81. Suppose 0 = 2*v + v - f. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45131235 divided by -449.\nAnswer: 100515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -36*m + 75. What is p(12)?\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**2 + 23*s. Let q(t) = 9*t**2 + 24*t. Let w(i) = -3*q(i) + 4*x(i). Let r(y) = 3*y**2 + 7*y. Determine -17*r(j) + 6*w(j).\nAnswer: 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31640 and 315?\nAnswer: 284760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 2. Let z be c\/6 + 5 + -2. Let g be 93 + (3 - z - -2). What is the highest common divisor of 23 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccycycyycycc. Give prob of sequence ycyc.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k + 1. Let o be n(-2). Let r(t) = 21*t - 15*t - 31*t + 11 + 18*t. What is the units digit of r(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1525 divided by -15.\nAnswer: -305\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22820\/9 - -661900\/261. Find the common denominator of -23 and w.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*b + 650*b = 36903 + 34192 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ummu when four letters picked without replacement from muumumuuum?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1673895 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 + 150 - 18 - (1 - -53).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 715 - 71. Let z = -644.000437 + a. Round z to five dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.12 + 1.22. Which is the third biggest value? (a) o (b) -2\/25 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**3\/3 - 5*f**2\/2 - 5*f. Let i be 3*(20\/6)\/2. What is the units digit of h(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 235 = -2*h, 5*h - p - 592 = 3*p. Suppose 0 = -s - 5*z - 104 + 149, -5*s = 4*z - 99. What is the remainder when h is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -27 (c) 3 (d) 4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 3:35 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(7 - (-1140)\/(-170)). Solve -3*h = -3*k - 12, 2*k + h - m = -2*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/1260 + l**5\/60 + l**4\/12 + 8*l**2. Let k(w) be the second derivative of h(w). Differentiate k(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1703.3+45.99469936\nAnswer: -1657.30530064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g\/g**(9\/5))\/g)*g*g**5)**27*(g\/g**(1\/4))**(3\/38)*(g**(-1\/4))**(2\/19) assuming g is positive.\nAnswer: g**(201121\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*q + 490*q + 483*q + 45*q**2 - 1651*q + 482*q.\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/20)\/(33\/(-6))*30\/3?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 55*c - 14*c**2 + 24*c**2 + 311 + 23*c**2 + 2*c**2. Is q(5) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2144, 8688, 19588, 34838, 54432, 78364, 106628?\nAnswer: 139218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 10) to base 5.\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 + 585 = 6*t. Suppose 0 = -13*g + 8*g + 2*q + 17498, t*g = q + 10499. Round g to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y = 12. Suppose 2*t - 3 = y. Let n = 3 - t. Solve -m + n*m = -2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/3, 2\/11, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3849 - 3848. Sort 5, 4, v, 0.3, 6 in decreasing order.\nAnswer: 6, 5, 4, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6699847 nanometers in centimeters?\nAnswer: 0.00000006699847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 9*l + 3. Let b be a(10). Let t(y) = -y**3 - 5*y**2 + 12*y - 14. Let v be t(b). Solve v = z - 2*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + -7 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f. Let b(s) = 2*s + 0*s + s - 2*s. Let n(c) = 3*c. Let k(w) = -17*b(w) + 6*n(w). Give k(q(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2947106kg to grams.\nAnswer: 294.7106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let h = g + 0. Let a = -60 + 239\/4. What is the closest to 2\/3 in a, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*y - 63881 = 7859. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0391430083 rounded to 6 decimal places?\nAnswer: 0.039143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -4. Suppose z + 0*z = -m + 4, -2*z = -2*m + 12. What is the second derivative of 0*h + 0*h**5 - 2*h + l*h**m wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -58406 times 133\nAnswer: -7767998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 3231.55.\nAnswer: 90483.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 6:21 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 748778143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4047)\/(-5396)*4\/42. Let l(k) = -k**3 - 3*k**2 + 3*k - 5. Let g be l(-4). Is g greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.6345 + 0.4775. Round i to one dp.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 23*h - 10. Suppose 2*w - 4*w - 51 = -b, 4*b - 217 = -h*w. Calculate the remainder when b is divided by 1\/((18\/(-60))\/(-3*2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w + 8. Let a(j) = -4*j - 5. Let f = -19 + 29. Let q = f - 18. Suppose -3*u + 6*u = -15. What is q*a(n) + u*o(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19253\/8 - 2410. Find the common denominator of k and -17\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -277 or -1226854?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25831\/105 + 246. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -35*h**2 + 5*h. Let k(t) = 72*t**2 - 9*t. Calculate -5*b(n) - 3*k(n).\nAnswer: -41*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/315 and 26\/10045.\nAnswer: 90405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -169, 15, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 863936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:14 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 19. Let y = 4 + -23. Let h = y - -36. What is the remainder when x is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -111*n + 350. Let h be l(3). Solve -4*i + b - h = -9*i, 0 = 4*i + 4*b - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*s + 7 = 3*s, o - 4*s + 9 = 0. Let u be 8\/(-6) + -1 + (o - -3). What is the closest to u in -0.2, -2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-1*4\/48)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 0.08671?\nAnswer: 1.7342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 24. Let s be b(-13). Suppose 16*g = s*g + 10. Solve 0 = z - g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7610628563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4\/3 - 121*a**3\/3 - 698*a**2\/3 - 719*a\/3 - 46 = 0. Calculate a.\nAnswer: -23, -6, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5 and (-2)\/(-10) - ((-1342)\/(-4200) + (-334)\/(-5845))?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -10, 5, -2\/7, 2\/3, 84.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 12*b**2 - 275*b + 531. Determine v(23).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/7)\/3 + -8 + 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.183, -1, -1\/108?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*d - 5 = 0, -136*x + 10*d = -137*x - 54 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daoooaookdddpda. Give prob of picking 1 p and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 2*p - 2. Suppose -8 = -q - 3*q. Suppose q*t + 14 - 22 = 0. Let o(i) = i**2 + i - 1. Give t*o(c) - l(c).\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1. Let u(o) = 2*o + 9. Let c(z) = 29*z + 64. Let d be c(-2). Give d*a(p) + u(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 16. Suppose 2*l = -3*c - 2*l + 8, 5*c + 2*l - 18 = 0. Suppose -4*z - n*f = -c, z + 1 = -0*z - 3*f. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29896*i - 12344*i + 131041*i.\nAnswer: 148593*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 21 = 4*l, 0 = -3*l + 3*s - 18. Let x = 4.1 + -1.1. Which is the nearest to x? (a) -0.1 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Let y be g(4). Suppose y*x - 74 = x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19122350 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = 0, 5*c - 221 = -3*l - 0*l. Is c greater than 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 18. Calculate the remainder when 14 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 5905 = 262. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 2)*(4 - 4 + v) - 204*v - 17446 + 17446)*(-54 + 102 + 9*v**2 - 50).\nAnswer: -1854*v**3 + 412*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 605*u - 600*u - 3 + u**2 as d + i*u**2 + p*u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:34 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -396\/6527 - -10\/107. Let r = -121\/1830 + f. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3091077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 2. Let u be w(-2). Suppose 0*s - f = 4*s - 21, u*f - 4 = 0. Let o(l) = -7*l + 5. Let h be o(-5). What is the greatest common factor of h and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*g**2 - 57*g**3 - g + 138*g**2 - 7*g**4 - 271*g**2 + 11*g**3 - 12*g**3 to t*g + a*g**3 + i*g**4 + v*g**2 + u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 10. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 + -17004331?\nAnswer: -17004407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5*u + u**3 - 2*u**4 + 1 - 3*u + 11*u**4 to the form l*u**2 + c*u + y + s*u**3 + x*u**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (-119 - (-58 + -97)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 4850\nAnswer: 48.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 16*v**3 - 7*v**2 - 2*v - 3. Let z be w(7). Let y be ((-162)\/36)\/((-3)\/z). Suppose -3*i + y = -3*c, -4*i + 10248 = -c + 5*c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*12.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 54397868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3798423.\nAnswer: 3, 19, 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -602 (base 7) to base 9.\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5501947273 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7436, -14864, -22292, -29720, -37148?\nAnswer: -44576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 + 10*b**3 - 4*b**3 + 5*b**3 + b to w*b**3 + a*b**2 + x + k*b and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:04 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/(6\/(-36)*-1). Factor 0 - 2\/3*f**y - 2\/3*f.\nAnswer: -2*f*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9805, 6029, 2253, -1523, -5299, -9075?\nAnswer: -12851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7394981.\nAnswer: 11, 672271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 bigger than -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -19 - (-7 + 16) - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (248\/(-6))\/(16\/(-24)). Let j = m + -43. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*d*j**3*p**3 - 9306*d*j*p**3 + 5263045*d*p**3 wrt j.\nAnswer: 48*d*j**2*p**3 - 9306*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 21 = -5*m. Let s(n) = -n**3 + 8*n**2 - 7*n + 2. Let u be s(m). Let w = -2 + 1. Which is the biggest value? (a) -0.04 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.04 + 0.04. Let w be ((-2)\/5)\/((-3)\/5). Let j = 4\/29 + -78\/145. Sort w, j, f.\nAnswer: f, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 2 + 5*k**3 - 4*k**3 - k + 0*k**3. Let i be -6*-2*(-2)\/(-6). Is p(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 2.9. Let z = 12 + -12. What is the biggest value in q, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -7?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -61077b3?\nAnswer: -61077a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -311 (base 7) to base 15\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183932539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i + 1. Let s be 18\/(-4)*4\/i. Find the first derivative of 5*f**3 + 2*f**s - 4*f**3 - 2 + 0 wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(24 - -1))\/(8\/(-28)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 25426240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 183245789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.52? (a) 1\/4 (b) 8\/3 (c) -0.5 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*k - 492*k + 2*z - 10 = 0, -5*k + 5*z = 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a = -46*a + 148. Is 73 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.529 plus -0.8?\nAnswer: -0.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58854 = 15*p + 59019 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - (sqrt(65) - (sqrt(65) + sqrt(65) + -3*(-2*sqrt(65) + sqrt(65))))) + 1*-4*sqrt(65) + sqrt(65))\/(sqrt(55)\/(sqrt(11)*-2)*3*-3))**2.\nAnswer: 208\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 782.894099 + -782.9. Round z to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.001818070895 to seven dps.\nAnswer: -0.0018181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1541 + -1254.6. Let f = -286 + k. Which is the second smallest value? (a) -0.1 (b) 3 (c) f (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 8*l**2 - l + 8 = 0. What is l?\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/10 - h**4\/3 - h**3\/3 - 7*h. What is c in b(c) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*l - 8, 2*n - 3*n + 4*l - 10 = 0. What are the prime factors of (n\/10)\/(5\/125)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 332112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 17*d**2 + 27*d - 269. What is w(18)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6*r = 4*r - 704, -3*i + 3*r = 414. Let g = i + 220. Suppose -9*q = -q - g. Do -2\/5 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1540 and 110.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*v - 3513 + 263 = 0 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32543810 rounded to the nearest one hundred thousand?\nAnswer: -32500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-eight ninths of a day?\nAnswer: 10880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4195057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h - 288 = -2*b, -3*h - 438 = -3*b. Solve -19*r - 6*r - b = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/12)\/(2\/(-48)). Let i(t) = -5776*t**2 + 12*t - 36. Let w be i(g). What is w rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 3*i**2 - 2*i**3 + 7*i**4 - 6*i**4 + 2 + 4*i**3 to the form t*i + q*i**2 + w*i**4 + c*i**3 + s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -346272?\nAnswer: 346270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 6 + 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6512 (base 7) to base 5.\nAnswer: 33222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40063\/11 - -3638. Calculate the common denominator of i and (28\/10)\/(18\/(-30)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2095 is divided by 691?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 166842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 499 + -428. What is the remainder when 349 is divided by w?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1234464256 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from ssrsrsssrssrse?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183458 and 6202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoat when four letters picked without replacement from {u: 3, t: 7, i: 3, o: 1, e: 2, a: 3}.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1257205 (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48475, 96951, 145427, 193903, 242379, 290855?\n\"Answer: 48476*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 36*w + 2. Let s(r) = -1440*r - 81. Let g(p) = 81*q(p) + 2*s(p). Let h(x) = -3*x. Calculate h(g(z)).\nAnswer: -108*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/4)\/(5\/(-20)). Let o = 16 - v. Let i = o - -18. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335020 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -630 + -1?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.5 and -804.49?\nAnswer: 794.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-6) - (-14)\/(-21). Put 4, -5, c in decreasing order.\nAnswer: c, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -5a?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:18 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**2\/2 - 8. Let a(c) be the second derivative of -c**4\/6 + 2*c. Calculate a(w(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99922187.\nAnswer: 99922187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z - 7. Let j be t(-2). Suppose -h - 2*x = -6*h - 127, j*x + 147 = -5*h. Let i be 83\/4 + h\/36. Solve 5 - i = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - z + 167 + 463, -z = -v + 321. Suppose -5*i + m = -2505, i + 3*m - 184 = v. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (203\/(-150423)*-57)\/(-1*3\/21*-1)\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 102 = 3. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1804.9 + -1787.9. Which is the closest to -0.03? (a) k (b) 1\/5 (c) 0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20486 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 2. Suppose -3*z + w*z = -24. Is (2 - (-15)\/z)*-20 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 873*r**2 - 64*r + 2. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + a**3 + 4*a + 1 - 6 - a**2 - 4. What is the tens digit of z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvu. Give prob of picking 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -79, 123, 1 in descending order.\nAnswer: 123, 2, 1, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/8 + 8757*t**2\/8 + 19166883*t\/8 - 19175641\/8.\nAnswer: (t - 1)*(t + 4379)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 2*u + 3*u)*(-4 + 3 + 3).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5639082 to the power of 1\/2, to the nearest integer?\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*a - 5. Let o(s) = 8*s - 6. Let j be o(1). Suppose -j*b + a*b = 92. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138411*v - 562876.\nAnswer: 138411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 3*k. Let s be 54 + (-1 - -4) + k\/(-2). Suppose 12*p - s = 8*p. Calculate the remainder when 81 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/5)\/r**(-3\/8) assuming r is positive.\nAnswer: r**(-17\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 70825697 divided by -2\nAnswer: -70825697\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 259596, 259606, 259616, 259626, 259636?\n\"Answer: 10*s + 259586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/20 and -57\/586120?\nAnswer: 586120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.015? (a) -0.14 (b) -2\/17 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*t - 4, 0 = 3*u - 0*u - 4*t - 10. Suppose -8 - 4 = -u*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 36*k - 12. Let m(w) = -35*w + 12. Let d(l) = -5*m(l) - 4*n(l). Let t be d(8). Suppose -10*o + 44 = -t. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36251013.000891 + 36251077. Let b = h + -64. What is b rounded to five decimal places?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/33)\/u**(-13\/3))\/(u\/u**(31\/5)*u)**(-22))**32 assuming u is positive.\nAnswer: u**(-155104\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/24 - 10*j**2. Let z(a) = 2*a**2. Calculate m(z(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4110 (base 5) to base 16.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 3*i**2 + 10*i + 4. List the prime factors of q(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 145637027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -6. Suppose -11 = -y*g + 21. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1366.87 - -1350. Let p = n - -17.5146. Let q = -0.65 + p. Round q to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.01341815 to 2 decimal places.\nAnswer: 5.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48278?\nAnswer: 2, 101, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5, -49, -4, 11, -6 in ascending order.\nAnswer: -49, -14, -6, -5, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Let r = 0.3777 + -5.3777. Which is the nearest to p? (a) 4 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44476 + 35764 = -99*y for y.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -15. Suppose 0*t + v*t = 16. Solve 0 = -4*g - 2*h + 12, -g + 4 = 5*h - t*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2122*t. Let g(s) = 3*s**2. Determine g(l(z)).\nAnswer: 13508652*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 10469*a**2\/6 + 20929*a\/2 - 31389\/2.\nAnswer: (a - 10463)*(a - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5277*-262.\nAnswer: -1382574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -4*j - 2*v + 233, -v = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 3:23 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 = 2*q, -5*j + 7945 = -5*q. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:01 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -9. Solve -4*d + o = -6*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5751174*a + 4875 = -5751249*a for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1268578556 and -4.\nAnswer: -1268578560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**3\/2 - 7*q**2\/2 - 19*q. Calculate the lowest common multiple of j(3) and (1 - 0)\/((-1)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-86)\/7095*(-970)\/48 and 109\/22.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.1746 to 2 dps.\nAnswer: 13.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 4:54 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 50*v**2 - 107*v + 214. Calculate r(52).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c. Suppose -92 = -9*z - 14*z. Let k(w) = 7*w**2 + z*w**2 - w**2 + 19*w**2. What is k(p(b))?\nAnswer: 261*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/947? (a) -4\/5 (b) -9 (c) -0.4 (d) 1.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 5435*u**2 - 59320*u - 150640.\nAnswer: -5*(u + 4)*(u + 7)*(u + 1076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + v = -2, -2*v + 6*v - 28 = -4*j. Suppose -j*g = -18 - 12. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3339959 divided by -4\nAnswer: 3339959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/30 + 13*p**3\/15 + 28*p**2 + 888*p. Find u, given that v(u) = 0.\nAnswer: -7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16929 - -16928.999961269. Round g to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137 and 17536?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(2\/5)\/q)\/q*q))\/q*q**(-6)*q*q**6\/((q*q**(5\/2))\/q)*(q**0*q*q*q**(2\/11))**(-9\/2) assuming q is positive.\nAnswer: q**(-1179\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/2)*l)\/l)\/l*l*l*l)**(3\/25)*l*l\/l**(-14)*(l*l*l**(1\/2))\/l assuming l is positive.\nAnswer: l**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622090 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-54) - ((-4)\/6)\/(92\/367057) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5801242.\nAnswer: 2, 2900621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 129889 less than or equal to -0.7352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8058*m - 251692 = 5230*m for m.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t. Let c(q) = q + 1. Let v be -3 + -1 + 9\/3. Let n(d) = 7*d + 5. Let r(u) = 1. Let h(x) = n(x) + r(x). Let w(k) = v*h(k) + 6*c(k). What is w(b(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -141000103 (base 5) to base 9\nAnswer: -1314872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/3124 (b) 1\/154 (c) -5 (d) 4 (e) -1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279520941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24938, -24937, -24936, -24935, -24934, -24933?\n\"Answer: k - 24939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 29 = -2*u + y, 13 = -3*u - y. Is -5 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 - -112. Let g = -74.99999472 - j. What is g rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21098 and 991606.\nAnswer: 991606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i - 4*o + 437 = 0, 2*i + 2*o = 290. Suppose 4*l = 6*l. Suppose l*b + 4*x + 45 = 3*b, b - 17 = 2*x. What is the highest common factor of i and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h + 1571295 + 42*h - 1571311 to s + x*h and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (149 + (106 - 151))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2\/21*w**3 + 0*w + 4\/35*w**5 - 1\/14*w**4 - 3 + 0*w**2. Factor r(g).\nAnswer: 2*g**2*(g - 1)*(2*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:29 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -273585677*q**3 + 5*q**2 - 13735*q + 40.\nAnswer: -1641514062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -10*b + 355. Suppose -102 = -i - 5*d, 0 = i - 5*d - 87 + 15. Let y = i - b. Solve 5*h = h + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l. Let y = 177 + -150. Suppose d - 2 + 0 = 0. Let c(u) = -10*u**d - y*u + 27*u. Calculate c(a(w)).\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 1.1. Let y = -22.15 - 98.75. Let b = 121 + y. What is the smallest value in b, -2\/15, 0, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, w: 2, e: 2, c: 4, p: 1}. Give prob of picking 1 e, 1 c, and 2 w.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 4*z**2 - 5*z - 2. Let b be m(5). Suppose 0 = o + 5*l + 20, 2*o + o - 4*l = b. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-113190)\/28))\/(1 - 66\/77).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(180) - sqrt(180))\/sqrt(9))\/(sqrt(2) + sqrt(24)\/(2*sqrt(12))))\/(4*sqrt(32)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/24)\/(-3*(-2272)\/(-144)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/4)\/(4 + -1). Let d = -0.362 + -0.26. Let s = d - -0.122. What is the closest to 0 in s, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1285\/2 - -1913\/3. Is -5 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*t + 65*t = -14. Let w be (((-16)\/6)\/(3\/(-27)))\/t. Solve -3*k - w = 3*s, 22 = -4*k - 0*s + 2*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (1\/(-1) + 2). Suppose 0 = -c - t*c + 20. Let m = 10 - c. Solve -4*n = n + m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 119*w**3 - 4*w**2 + 13 - 6*w**2 - 118*w**3. Let i be v(10). Solve i + 2 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwwn. What is prob of picking 1 w and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -19*y**4 - y**3\/6 + y**2 - y + 6. Let n(i) be the first derivative of d(i). Let k be n(-6). Round k to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*w**2 - 2*w**2 - 38*w**2 - 45*w wrt w?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -175009*n + 875041. Calculate d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 1\/3*q**4 - 6 - 2\/3*q - 1\/3*q**2 + 4\/9*q**3 - 1\/9*q**6 - 2\/15*q**5. Factor x(h).\nAnswer: -2*(h - 1)**2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:11 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(-8)*r*r*r))\/(((r\/(r*(((r*(r**(5\/7)\/r)\/r)\/r)\/r)\/r))\/r)\/r))\/(r\/(r*r**(2\/5)*r)*r)**(-49) assuming r is positive.\nAnswer: r**(-1151\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 623\/5 - 125. Suppose -3*r + r + 80 = 0. Suppose 0 = r*h - 39*h - 1. Is o less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j - 125*j = -3152 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 152964*j**2 + 2924901120*j - 5849190400.\nAnswer: 2*(j - 38240)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/95, 0, 2\/11, -1\/2, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/11, 3\/95, 0, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -17, 0.05?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 721*j + 3651. Let w be b(-5). Solve -25 + w = 7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 8. Suppose 2*y = y + r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 18397, -4, -1061.\nAnswer: -1061, -4, 0, 2, 18397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:13 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1300) + (sqrt(1300) - (-2*sqrt(1300) - sqrt(1300)))*-4).\nAnswer: -150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 - 295\/(-3). Let z be -2 + 4 - -30 - 1. Suppose -5*w - z = -t, -5*t - 3*w = -85 - o. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let b be 4\/10 + (-6)\/15. Suppose b = -3*f + f. Let g(s) = 2*s**2 - s**2 + f*s**2. What is w(g(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5 - 96*u**4 - 552962*u**3 + 121241696*u**2 + 552960*u - 121241600 = 0. Calculate u.\nAnswer: -592, -1, 1, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/365 or 264?\nAnswer: -36\/365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 2*q**3\/3 + 3*q**2\/2 - 8*q. Determine d(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-255))\/(3\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**3 + 5*y - 32 wrt y?\nAnswer: -3*y**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**6\/60 - i**5\/30 - 11*i**4\/24 - 2*i**3 - i**2 - 40*i. Find the second derivative of t(c) wrt c.\nAnswer: -12*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9675623845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 160. What is the remainder when h is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158019 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-396)\/42 + (24\/42 + 0)\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - 133123535?\nAnswer: -133124003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21946 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*g = -62, -2*g = -0*t + 3*t + 47. Let s = t + 5. Let v be (5 + s)*((-14)\/5 - -2). Sort -1, v, 1 in ascending order.\nAnswer: -1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 81+-51909440\nAnswer: -51909359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74, 194, 314, 434, 554, 674?\n\"Answer: 120*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1391, 11100, 37445, 88742, 173307, 299456?\n\"Answer: 1386*q**3 + 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905000 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 4*a + 4. Let s(k) = 3*k**2 - 9*k - 9. Let x be (-650)\/70 + (-2)\/(-7). Let o(i) = x*d(i) - 4*s(i). Let y(z) = 2*z**2. What is o(y(l))?\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(-2*sqrt(192) - sqrt(192)) + sqrt(192)*-1*5 + sqrt(192) + sqrt(192))\/(5*sqrt(144)*1) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3 + 537*z**2 + 16785*z + 127575 = 0.\nAnswer: -15, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14272 and 13281880.\nAnswer: 106255040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -6, 7606 in decreasing order.\nAnswer: 7606, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 880 divide 401280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -402*x. Let n(g) be the second derivative of -11*g**4\/6 + 4340*g. Calculate u(n(w)).\nAnswer: 8844*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-1\/3)\/y))**(2\/9))**(-3) assuming y is positive.\nAnswer: y**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 118. Let v = 31 - -26. Suppose 5*k - 2*n = v, 0 = 4*k + k - 4*n - u. Solve -4*z + 5 = -k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - w**2 + 10*w**2 - 2*w**2)*(0 - 2*w + 0).\nAnswer: -4*w**4 - 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51050*h**4*i**2 - 59*h**3*i**3 + 33248*h*i**3 - 4*h*i - 163*h wrt h.\nAnswer: 612600*h**2*i**2 - 354*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 21*p**3 + 22*p**3 - 8*p**2 - p**3 - 4*p**3 - 5*p**3.\nAnswer: 33*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jiix when four letters picked without replacement from {j: 4, f: 1, i: 2, x: 6}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4144 divided by 29827\nAnswer: 592\/4261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*t - 5 + 6 = 0, 2*q - 3*t = 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v - 4 = 30*v + 2*d, -5*v + d = -18. Suppose 2*s + v = 0, -5*s = 2*c - 8*s - 66. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9528.89806 rounded to the nearest 10?\nAnswer: -9530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73389 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r = -19*r - 46. What is the thousands digit of (-2126)\/(-3)*(-87)\/(-116)*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144723\/1736 greater than 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -4, 93, 238, 437, 696, 1021, 1418?\nAnswer: 1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 h when four letters picked without replacement from {h: 2, l: 4, i: 2, e: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - 4004292.\nAnswer: -4004278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002917 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165360 and 944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 + 57*t**2 + 4*t - 76. Let m be s(19). Is -5\/1561 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4300?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s - 1. Let a = -23268 + 23265. Let v(x) = 10*x**2 + 3*x - 3. Suppose 5*d + 3*f = 5, -d - d + f = -2. What is a*y(h) + d*v(h)?\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2. Let m(w) = 78953*w. Determine m(i(o)).\nAnswer: 157906*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -356627 divided by -10\nAnswer: 356627\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 74?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {i: 8, a: 2, u: 4, f: 1}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/12 and -25\/123144?\nAnswer: 123144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 2. Let p be h(-11). Let z(k) = k**3 + 14*k**2 - 8*k - 21. Let y be z(p). What is y rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/10 + 55*w**3\/6 - 58*w**2. What is the derivative of x(v) wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b + 1. Let n be m(-1). Let p = n + 6. Let i(v) = v**2 + 7*v - 7. Let f(r) = 4*r - 4. Let k(q) = 5*f(q) - 3*i(q). Determine k(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -38b9?\nAnswer: -38c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -2\/3*o**3 - 1\/10*o**5 + o**2 + 12*o + 1\/3*o**4 + 0. Determine t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 3593609*w - 3593609*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20651 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*sqrt(833).\nAnswer: 1 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2753, 2752, 2747, 2738, 2725, 2708, 2687?\nAnswer: 2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9053108 rounded to 2 decimal places?\nAnswer: -10.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*2 + -5 - (sqrt(13) + (1*sqrt(1053))**2).\nAnswer: -1058 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 394093.98 minutes?\nAnswer: 273.676375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -650942.4476 - -651209.44760127. Let x = o - 267. What is x rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = 3*b - 4, 3*q - 10 = 2*b. Suppose 85*g = 114*g - 87. Put 0, g, q, -1 in ascending order.\nAnswer: -1, 0, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) -1.8 (c) 2\/9 (d) 1\/12 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 130. Let n be (3146\/11)\/(-13) + -8. What is r(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84 in 5, -2, -0.1, -10\/23, -0.21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 44 + 48. Let z be p - 7*(-18)\/6. Solve 4*k - 3*s - z = 0, -4*k - s = -2*k - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 11 + (3 + -5 - 12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 3*k**2 - 3*k**2)*(-31 + 31 + 30*k) + 3*k**3 + 2*k**3 - 2*k**3.\nAnswer: -207*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2846717.162 and -4.\nAnswer: -2846721.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(4*m**3 + 4*m**3 - 2*m**3) + (8*m**3 - m**3 + 9*m**3)*(0 - 4 + 1) as q + y*m + j*m**3 + a*m**2 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*k - 3 + 3 - 20*k.\nAnswer: -104*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244121 (base 6) to base 16.\nAnswer: 5491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z = 3*t + 29, -22 = 2*t - 2*z. Let y(p) = -p**2 - 15*p - 16. Calculate the remainder when 30 is divided by y(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/13 - 3\/65. What is the nearest to -1 in 2, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxx when three letters picked without replacement from {o: 1, f: 9, a: 1, s: 1, x: 8}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -55, -75, -99?\n\"Answer: -2*h**2 - 10*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g. Let t(o) = -9*o + 4. Let m be t(0). Suppose 0 = m*n - g - 24. Calculate the lowest common multiple of 9 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 1\/15*u**5 - 2*u**2 + 0*u**3 + 0*u + 0 + 0*u**4. Let c(r) = r**2. What is l(c(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3872*r**2 - 371850512*r - 8927737814738 = 0. What is r?\nAnswer: -2112787\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = 4*f, 5*l + 3*f = 2*f - 14. Calculate the common denominator of (-155)\/(-12) - 2\/6 and 198\/(-28) + 1 + l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4 - (-93)\/21) - 4. Let a be 1\/((-1 - -2)\/(-1)). Let z = f + a. Solve b - z = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10312010103 (base 4) in base 5?\nAnswer: -311120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9 = -2*s, -3*s - 2 = 4*t + 9. Let o = 0 - t. Let m = -0.4 - -0.2. Are o and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*o - 3*o - 50 = 0, 4*a + o = -40. Let i(l) = 5*l + 13. Calculate i(a).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -5871.9?\nAnswer: 152669.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -332*k + 337*k. What is the greatest common divisor of 372 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcm when three letters picked without replacement from {m: 4, h: 5, c: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and 184.51.\nAnswer: -16974.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-6) - -4575*(-2)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6575 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2169 - 2230. Suppose 0 = 2*w - 0*w - 120. Let p = x + w. Which is bigger: p or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, b: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 4*v + 3*v)*(v**2 - 3*v**2 - 17*v**2) + 2 - 2 + 2*v**3.\nAnswer: 59*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 35*a + 3*n - 6 = 0, -5*a = 4*n - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2, 5*m - 5*t + 3 - 8 = 0. What is the second derivative of -2*o**3 + m*o**2 - 2*o**2 + o - 2*o wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.17 take away 6.748?\nAnswer: -16.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-10)*(-30)\/(-12). Suppose -4*t + m*d = -20, 3*t - 3*d = -t + 15. Solve -z + 0*z + 2*p = -8, t = -5*z + p + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 70236*p + 457255080.\nAnswer: -4*(p - 5055)*(p + 22614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (-5 - -1) - (-12)\/3. Factor -5\/3*x**u + 7\/3*x - 1 + 1\/3*x**3.\nAnswer: (x - 3)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 4. Let f be u(9). Suppose f*o = 1 + 34. What is the units digit of -1 - ((-3)\/(-1) - o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 0, -0.05, -0.3, 0.1, 8\/3, -0.038?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llu. What is prob of sequence lul?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l - 15. Let t = -26 - -53. Suppose 3 = 5*p + 4*y, 0*p - l*p + 4*y + t = 0. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 16*s - 1176 = 0. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -7\/3*z**3 + 1\/4*z**4 - 5*z - 7 + 1\/2*z**2. Determine x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775540 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27991*m - 56005*m - 1 + 27988*m.\nAnswer: -26*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 2, j: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:21 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.6371511 and 2.\nAnswer: 4.6371511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 495 = 13*j. Is 18 a factor of 70\/j*(6 + -90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13619, -27239, -40859, -54479, -68099?\n\"Answer: -13620*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 23. Suppose -4*t + 8 = -w. Solve 0 = -2*b + 4*u - 6*u - t, 4 = 4*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 8*b**2 - 4*b + 4. Suppose 3*t + 26 = -19. Let d = t - -7. Is u(d) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104, 128, 152, 176, 200, 224?\n\"Answer: 24*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let l(k) = -4*k**2 + 10*k - 97. Let j(c) = 4*c**2 - 12*c + 98. Let p(v) = -5*j(v) - 6*l(v). Give r(p(u)).\nAnswer: 8*u**2 + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/826818321?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 41464.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 419 + -152. Let u = 1865\/7 - h. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 at least -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -4*f, -3*d = 4*f - 60 + 22. Solve 0 = -u - u + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 3*x**2 - x**2. Let p(h) be the second derivative of -5*h**4\/3 - h**2 + 2*h - 29. Calculate q(p(a)).\nAnswer: 400*a**4 + 80*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/587 + 21746\/5283. Let n be (-3)\/(-2)*388\/(-3). Let s = n + 731\/4. What is the common denominator of v and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 6:54 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -83*h**2 - 6*h - 55. Let v(t) = 41*t**2 + 3*t + 26. Let r(x) = -6*b(x) - 14*v(x). Differentiate r(u) with respect to u.\nAnswer: -152*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1258, 1096, 934, 772?\n\"Answer: -162*d + 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let r be y(-1). Let l(f) = -f + 5. Let v be l(3). Suppose 3*i - 2*i - 5 = -5*q, 2*i + 5*q = 5. Solve i = -v*m - r*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*c - 4486 - 5294 + 926 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 17483817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*j - 14, 74*j - 78*j = n - 23 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2406 + 2400. Suppose i + i - 8 = a, -5*a = -3*i + 19. Sort q, -4, a.\nAnswer: q, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 19*z**3 + z**2 + 202*z - 264. Let g(b) = -16*b**3 - 9*b**2 - 204*b + 264. Let j(o) = 5*d(o) + 6*g(o). Factor j(l).\nAnswer: -(l - 1)*(l + 6)*(l + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69403.86 litres in millilitres?\nAnswer: 69403860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.7 * 4.\nAnswer: 126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40553*b**3*r**2 - b**2*r - 31*b**2 - 15*r**2 - 18 wrt b?\nAnswer: -243318*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Simplify (4*(sqrt(6) - -2*sqrt(6)))\/(sqrt(300) + sqrt(300) + sqrt(300)*-1 + sqrt(300) + sqrt(300)).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82150896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1095 + 5.1095. Let x = -2.94 - 0.06. Let v be 7\/(-15) + 1\/(-5). Which is the smallest value? (a) x (b) -0.04 (c) v (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167343100.\nAnswer: 2, 5, 43, 38917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*z = -10, -31*z = -4*u - 35*z + 20. Solve 4*m = -3*p - u, -4*m + m + 2*p - 25 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - -5.11. Let u be 12\/3 + 6\/2. Suppose -8*q = -u - 1. Sort q, -2\/9, m.\nAnswer: -2\/9, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2655559512 - 10*l**2 + 3*l + 2655559512.\nAnswer: -10*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 3977*b**4\/24 + 379*b**3\/6 + b**2 + 3451*b. What is the derivative of i(a) wrt a?\nAnswer: 3977","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*i**4 - 20*i**3 + 31*i**2 - 15*i + 448295 wrt i?\nAnswer: -20*i**3 - 60*i**2 + 62*i - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1750663 - 4593\nAnswer: 1746070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 7 = -13, 4*q = 2*a + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 221332450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 1. Let k(a) = -a - 24. Let s(g) = k(g) + 4*t(g). Let d be s(-6). Let p(r) = 52*r**d - 78*r**2 + 41*r**2. Let n(u) = -3*u. Determine p(n(x)).\nAnswer: 135*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 198028 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: Solve 128*m - 550 = -38 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*2*-4*5)\/(sqrt(768) - -2*sqrt(768)*-3) + 1)**2.\nAnswer: 2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*m + 52, -3*d + 68 = -5*m - 68. Let k = 59 - d. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 4}. What is prob of picking 1 y and 1 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83 and -0.73579.\nAnswer: 61.07057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9033616ng to milligrams.\nAnswer: 0.0000009033616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0 + 0)*(0*x - x + 0*x)*(-101 - 102 + 174).\nAnswer: 58*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1795 divided by -5\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*d = -4*a - 597, -5*a = -5*d + 745. What is the units digit of 6\/10 - a\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1. Let z(k) = -k - 11. Let f(x) = 4*w(x) + z(x). Let q(j) = -1. Let v(u) = -3*f(u) + 21*q(u). Let h(l) = -l. Give v(h(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -691 + 693. Suppose -2 = -4*w + 2. Let m = f + w. Solve -m*j - 10 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 391 and 34.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 2:56 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17113 and 2748128?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/4 and -5\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36612 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 4. Let n be b(11). Suppose -f + n = -6. Let t = f - 12. Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*-0.1.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/5 + 13477*i**4\/5 - 335668*i**3\/5 + 2762672*i**2\/5 - 1662208*i + 1608240 = 0.\nAnswer: 2, 3, 10, 13402\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016101 (base 7) in base 14?\nAnswer: -32738","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s - 5*r - 216 = -6*s - 13*s, -s - 22 = 2*s + 27*r - 32*r for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + x + 132 = -20*f, -5*f = -5*x - 150. Solve -9 + f = 25*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017544653 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/4 - 601*u**2\/2 + 151593*u\/4 - 1266426 = 0.\nAnswer: 69, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3051500 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:57 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-4))\/(-1*1) - (-1107)\/(-162)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1344268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4495714\/7 <= 642246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-14 - -24) + -4 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 421 = 230. What is the remainder when (-2)\/4 + m\/(-14) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 + 2*p + 1. Let c be h(2). Suppose -3*j - 9 = -6. Let r be (10\/j - -1) + 0. Is c bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 6*n + 20 = 0, r + 4 = -0*r + 2*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -385100 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k. Let t(x) = -433*x. What is t(f(h))?\nAnswer: -2598*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -2*k - 1\/6*k**3 + 0 - 2*k**2. Let f = 9 + -13. Determine g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.249816 hours?\nAnswer: 0.010409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -874012*p**3 - 1109830*p**2.\nAnswer: -5244072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 53, 7, 0.4?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)\/((-1)\/3). Let g = 19 + -15.6. Let f = g + -1.4. Which is the third smallest value? (a) 2\/9 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -3 - (8 + -13) - (0 - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2155 - -2157. Put 0.0606, c, 0.3 in increasing order.\nAnswer: 0.0606, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ef1cc (base 16) to base 6\nAnswer: 32554140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 474?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3681 - -3711. Solve -5*a = -15*a - i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 - (-100)\/6. Suppose -3*z = -4*i + 34, 3*i - 4*z = 17 + 5. What is the smallest common multiple of i and l*(6\/4 + -1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91665 and 2202.\nAnswer: 67282110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let f(w) = -w**2 + 0*w - 4*w - 2*w**2 - 8*w. Calculate d(f(a)).\nAnswer: -9*a**4 - 72*a**3 - 144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4560968\/(-186))\/(-212) - 110\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1344 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -4.12\nAnswer: 45.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -2*j**5\/15 + 90*j**2 + 2*j. Let k(f) = 27*f**2. Calculate k(y(a)).\nAnswer: 1728*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 990*s - 22596*s**2 + 22596*s**2.\nAnswer: -2*s**3 - 990*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, -267, 108?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 41*a**4\/4 + 5*a**3\/6 - 9*a**2\/2 - 55*a. Calculate the remainder when g(2) is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**(-4\/3)*(t**3*t)**7)**(-14) assuming t is positive.\nAnswer: t**(-5992\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455747 - 455743.399858. Let r = 3.6 - y. Round r to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 3*m + 11*m - 2)*(m**3 - 2*m**3 + 2*m**3).\nAnswer: 17*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiyyiiivsvyyriiis. Give prob of sequence iyvr.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyyyywyy. Give prob of sequence yw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 - 257. Let y = 93 + f. Solve y*o - 12 = -4*t, -t - 5*o = -2 - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*z = -258*z + 318204. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18da4 + 7?\nAnswer: -18d9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.266312 centuries in months?\nAnswer: 9919.5744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 c when four letters picked without replacement from {o: 4, c: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1017\/(-11526)*(-2)\/(-3).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 1810*f**3 + 4 - 979*f**3 - 900*f**3 + f**2)*(0 + 3 - 2 + 5 - 4 - 3 + (-5 + 4 - 1)*(0 + 2 - 4)).\nAnswer: -207*f**3 + 3*f**2 + 6*f + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2 - 8 + 0*s**2 + 2*s**2 - 3*s**2 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, a: 1, l: 2, v: 1, n: 1}. What is prob of picking 1 v and 2 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -0.035203.\nAnswer: -0.00035203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478119 divided by -159373.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 + 2\/5. Suppose 5 = 30*h - 145. Which is the third biggest value? (a) 0.11 (b) h (c) f (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12399868 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 423882, 847751, 1271620, 1695489, 2119358, 2543227?\n\"Answer: 423869*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 < -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*n - 5 - 3, 4*n - 95 = -5*y. Solve y = -5*l - 4*j, -7*l + 2*l - 7 = -4*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 6*n**2 - 4*n - 3. Let p be (3 - (2 - 4))*1. Let c be m(p). Which is bigger: c or 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1*r*r*r*r)**(-19)*(r**24\/r)\/r**20 assuming r is positive.\nAnswer: r**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14779 and 1247?\nAnswer: 18429413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -7*v**4\/3 + 19*v**3\/3 + 2*v. Find the second derivative of q(w) wrt w.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhohahaaaahoaoo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.857 + 0.143. Put -1\/3, g, -3, 1\/16 in ascending order.\nAnswer: -3, -1\/3, 1\/16, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18816867 a multiple of 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 33 + 2*m - 14 + 1 + 3)*(-63*m**2 + 0*m**2 - 60*m**2) to z*m**3 + q + h*m + i*m**2 and give i.\nAnswer: -3198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*x**4 - 770*x**3 - 1360*x**2 + 2*x - 4231275?\nAnswer: -120*x**2 - 4620*x - 2720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f - 2*f**2 + 6*f + 5*f. Let u be z(6). Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, e: 2, c: 1, n: 2, z: 6, x: 6}. Give prob of picking 2 z and 2 n.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -g + 371, 5*g + 129 = r - 0*r. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5794335.\nAnswer: 3, 5, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1893156*n**3*v**2 - 4*n**2*v**2 - 3*n*v - 11796*v**2 + 70*v wrt n.\nAnswer: 11358936*n*v**2 - 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242787 is divided by 864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4943 divided by 1\nAnswer: -4943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -3108.\nAnswer: 1\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1232 by -112.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 - 8\/(-6). Let h = -2.6 - -2. Let m = h - 0.4. Sort -5, m, z.\nAnswer: -5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 2*l. Suppose 3*y + 4*a = -11, -8*y + l*y + 2*a + 16 = 0. Solve 3*n - y = 6*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2744 divided by -5\nAnswer: -2744\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2*t**3 - 2*l**2*t - l**2 - 68*l*t**3 - 5*l*t - 62*t**2 - 24 wrt t?\nAnswer: -6*l**2*t - 408*l*t - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 663192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-25.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1529880 and 825?\nAnswer: 7649400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let o(h) = -24*h**2 - 10*h - 4. Let x(y) = -117*y**2 - 55*y - 21. Let s(l) = -11*o(l) + 2*x(l). Determine s(j(k)).\nAnswer: 120*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and 40741?\nAnswer: -1466676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(320) + sqrt(320) + -1)**2 - ((sqrt(320)*-1 + sqrt(320))*5*4)**2)*6.\nAnswer: 3840*sqrt(5) + 38880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 3*d + 6*d + 21 + 29 - 42.\nAnswer: d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -0.0781088.\nAnswer: -0.4781088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.048435 * 2\nAnswer: -0.09687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 704.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/9, -0.4, 1\/3, -162?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12130 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 6*m + m + 6. Let u be r(6). Let s(p) = p + 7. Let z be s(u). Solve -z - 3 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1314 and -4\/6935?\nAnswer: 124830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (31 - 14) + -22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 91 + 123 = -536. Calculate the lowest common multiple of u and (3 + -3 - -6)*10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -69*j + 26. Let r(p) = 2*p + 17. Calculate -2*g(b) + 4*r(b).\nAnswer: 146*b + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 570.7291 years?\nAnswer: 0.5707291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217132843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.033 + -0.083. Let d = 0.15 + n. Which is the nearest to d? (a) -0.5 (b) 2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333 + 235. Let w = k + 143. Let n be (-6)\/w*3 + 154\/35. Solve -4*p - g = 2*g - n, p + 22 = 5*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p + 28*p = -4*q + 28, 4*p - 4 = -4*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 + -129. Suppose 5*d + 35 = 3*v, -v + 7 + h = d. Solve q = 6*q - v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6)*8 + 2. Suppose -915 = -i*s + 5985. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 3*m - 727. Find the third derivative of m*p**2 + 308*p**2 + 10*p**3 - 615*p**2 wrt p.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15705?\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*1 + 1.\nAnswer: 1 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*u = 3*u + 18, -f - 5*u - 22 = 0. Suppose -f*y - 5*i + 14 = -4*i, -5*i + 6 = -y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6326842 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 28*x - 2. Let y(n) = -379*n + 16. Let k(f) = -217*f + 9. Let a(g) = -16*k(g) + 9*y(g). Give a(q(v)).\nAnswer: 1708*v - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 11 - 20 + d)*(0 + 2 - 3).\nAnswer: -d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55138*y**5 + 69865*y wrt y.\nAnswer: 1102760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 26*y**2 - 163*y. Let k be (-16 + 1)*1\/(-3). Let a(f) = 17*f**2 - 109*f. Let s(o) = k*u(o) - 8*a(o). What is the second derivative of s(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -32. Let q be 24 + 4 + (x - 0). Solve -5*d + 0*d = q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 23*j**4\/24 - 3*j**3\/2 + 22*j**2. Calculate the remainder when o(1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006779 to 7 decimal places.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v + 4. Let b be -3*(v - (2 - -1)). Let r be b - -6 - 2\/1. Put r, -5, -3 in ascending order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**3 + 4*s**2 - 8*s - 6. Let x(y) = 6*y**3 + 5*y**2 - 9*y - 5. Let n(o) = -5*k(o) + 6*x(o). What is the tens digit of n(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 62.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8883 and 77637.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86584, -86581, -86578, -86575, -86572, -86569?\nAnswer: -86566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, d: 2, s: 8, u: 1, o: 3}. Give prob of sequence iu.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -19, 69, -22 in increasing order.\nAnswer: -22, -19, 2, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 31. Let m = r - 54. Let n = -67 - m. Which is the closest to -0.2? (a) -6 (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y = 71*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -27*p + 207. Let y be v(8). Is 13518 - -2 - (3 - (-54)\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641 = -2*l + 639, 3*w + 13*l = -1 - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.33, 0.4, 77, 18.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (52\/(-8))\/((-1)\/2). Let b = -1 - -1. Solve -t + b*t = 5*n + 23, 4*t - n - g = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + w**4 + w**4)*(-24 - 24 + 42 + (2 + 0 - 3)*(-1 + 0 - 1) + 0 + 0 + 2 - 1 + 2 + 0 + 6 - 2 - 2).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppwppkkppkwwwp. What is prob of picking 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00593331349 rounded to 5 decimal places?\nAnswer: -0.00593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4636141.\nAnswer: 4636141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1243 (base 6) to base 3\nAnswer: 102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22394 + 1635818.\nAnswer: 1658212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - v + 1. Let u be c(0). Let x be (u - 2)\/3*15. Let l be (1568\/(-80) - -19) + (69\/15 - 3). What is the nearest to l in 3\/7, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127142431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 15237.\nAnswer: -15211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(52) - ((sqrt(208) + sqrt(208)*3)\/sqrt(4) + sqrt(52)))\/(sqrt(24)\/(-4*sqrt(54)))*-1.\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*r = 25, -m + 3*r - 10 - 4 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.3 (c) 3\/7 (d) 0 (e) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1480*m + 3 + 1169*m - 6067*m - 3 to v*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 - q**3 + 2*q**4 + (-q**3 + q**3 - 2*q**4)*(-2 - 3 + 3) + 1062*q**4 + 1791*q**4 - 278*q**4.\nAnswer: 2581*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2346 and 646254?\nAnswer: 10986318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 484 and 308.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:14 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/35)\/(4\/7). Let p be ((-6)\/(-10))\/((-2)\/(-10)). Calculate the highest common factor of p and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -9*u - 191. Solve -4*a - 20 + 8 = u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 219, 458, 713, 990, 1295?\n\"Answer: r**3 + 2*r**2 + 226*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-3)\/(-6))\/((-1)\/5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1103842204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*t**4*w**2 - t**3*w - 24*t*w - 2*w**2 + 1 wrt t?\nAnswer: 1980*t**2*w**2 - 6*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 9*q**2 + 11*q + 17. Let f be k(-7). Let m be ((-66)\/(-8))\/((-1532)\/(-304) - 5). What is the highest common divisor of f and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -184*g - 82. List the prime factors of n(-33).\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 31. Suppose -16*w + 772 - 356 = 0. Let h = v + w. Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 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: Four letters picked without replacement from quuquqqqqqqqqquqqqqq. Give prob of picking 4 q.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 73 = 2*v, -5*n = 3*v - 474 + 446 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Suppose p - 6*p + 3*u - 40 = 0, u = -2*p - 5. What is the second biggest value in l, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-2))\/((234\/(-72))\/(-13)). Solve -i*u - 4*n = 40, -3*u + n = 9 + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 - 4*v - 2. Let b be j(-3). Let q be b + (39\/3)\/1. What are the prime factors of 4\/q - 26\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 23 + 65. Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 860 - 768*r**2 - 860 + 2191*r**2 as j*r + t*r**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f**2 - 367*f - 46. What is the units digit of y(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + (27 - (-3 - -32)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-3 - (-11 - 0)). Solve 4*p = a*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775.4707 nanograms to milligrams.\nAnswer: 0.0007754707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:22 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*y - 1. Suppose y*h + 5*i + 19 = 83, 0 = -3*i - 3. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 29*u + 74 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 2, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -37, -175, -451, -913, -1609, -2587, -3895?\nAnswer: -5581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 183. Let g = x + 74.24. Round g to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 235 - 405 = 0. Let v = l + -38. Suppose 0 = -s + y + 7, -v*s = -0*s + 4*y + 10. What is the second smallest value in 2, 0.4, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3*p + 27*i**3 + 186*i**2*p**3 - 3*i**2 wrt p?\nAnswer: -i**3 + 558*i**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 68 + 0*h**3 + 0*h**2 - 66*h - 41\/4*h**4. Differentiate t(f) wrt f.\nAnswer: -123*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2 (c) 0.3 (d) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1*-1*(0 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - l = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124562 (base 7) in base 13?\nAnswer: a790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7742 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/25 (b) 0.149 (c) -138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 52. Let v = -15 - t. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -0.9. Suppose 100 = 45*z - 25*z. Which is the closest to h? (a) 3 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - -11 - 32 - (10 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than -14.0031778?\nAnswer: -5.0031778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) 10 (c) 1\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1149 + 1140 + (1 - -2) + (5 - (-5 + -24)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/23, -4, 43, -19\/45, 3\/7, 1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 - 46. Calculate the remainder when g is divided by 31 - (28 - 13 - 13).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 89*l - 90*l - 5, 3 = -3*z - 2*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 234 + 936. Suppose -1756 = -3*j - j. Let h = n + j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:46 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let g(u) = 8*u - 15. What is -6*a(s) - g(s)?\nAnswer: -2*s + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -483.8 + 246.6. What is x rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1140 and 171?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-4)\/6)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*2 - (-7)\/(-21)*-21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-21))\/((-20072)\/(-46320)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*c)*(-2*c**2 - 38907*c + 39052*c - 3*c**2) + 0*c**3 + 5*c**3 - 3*c**3.\nAnswer: -8*c**3 + 290*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-12) - 2\/(-4). Let w = 2 + -3. Let y = -1.1 + 0.1. Which is the closest to y? (a) k (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9092 - 0.0908. Let f = 0.1 - 0. Suppose 3*n = 24 - 9. What is the nearest to f in h, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmnhhmmmmmn. Give prob of picking 1 m and 1 n.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-22)\/(-8 + 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 - 3*j**2 + 3*j. Let g(x) = x**3 + x**2 - x. Let u(l) = l**3 - 3*l**2 + 2*l - 1. Let q be u(1). Calculate q*w(o) - 2*g(o).\nAnswer: 2*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042003.\nAnswer: 577, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -361*p - 1\/3*p**3 + 19*p**2 + 46. Factor c(k).\nAnswer: -(k - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teteetf. What is prob of sequence ftee?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 495 + -492.5. Let i = 2.1 - m. What is the smallest value in -1\/6, -0.14, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 157*a + 1 - 80*a - 78*a - 6. Determine o(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -223664510?\nAnswer: -223664504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16197 + -1?\nAnswer: -16198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 15 = 4*g, 4*g - 283 = 3*m - 268 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15401960.424 + 1382.\nAnswer: -15400578.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 7*f**2 + 1 - 1 - 3*f**2 to the form s + o*f**2 + x*f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1004?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2138*g**2 - 810*g**2 - 949*g**2 + (-1 + g + 1)*(-2*g - 3 + 3) - 2*g**2 - g**2 + 2*g**2.\nAnswer: 376*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-225)*9)\/((58\/25)\/(14\/(-210)))\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/27)*z\/(z*z**(1\/8)\/z))\/(z\/(z\/(z**(4\/5)\/z*z))*z*(z*z**2)\/z))\/(z**(-1\/7)\/(z\/z**0))**(-5\/8) assuming z is positive.\nAnswer: z**(-26953\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - (5 - 12 - -12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a + 173287?\nAnswer: 173344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-4)\/(-10))\/((-1)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8268 or -8269?\nAnswer: -8268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-5)*(-8 + -2). Suppose 236 + 376 = o*d. Is 34 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 9. Let g be p(-7). Let z be 1\/(1 + ((-8)\/(-12) - g)). Let b(k) = 2*k + 2. Give b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 15, q - 4 = -5*j + 34. Let d be (3 + 9\/9)*298\/(-8). Let t = d + 200. What is the remainder when t is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.234 + -0.034. What is the fourth smallest value in v, -10, -0.2, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 21. Solve -16*p + 14*p + 4 = i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 70. Let v be -1*12\/o + 115. Let h = 152 + v. List the prime factors of h.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 10 = i. Let n = -12 + i. Let t(l) = -l + 8*l**3 - 5*l**2 - n*l**3 - l - 5*l**3. What is t(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11143 - 11143.0000047704. Round t to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 5 - 3) + -5 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-14)*-5*28\/4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -2 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 6. Let o be x(6). Let d be (-16)\/12*27\/o. Let s be (1 - -2) + d + -2. Which is bigger: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/3678373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -9081 (b) -1\/2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 2. Suppose 19 + z = -5*l. Let r = -6 - l. Solve -4 = -x - r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 times 0.4?\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7316, -34266, -79182, -142064?\n\"Answer: -8983*p**2 - p + 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 1 k when three letters picked without replacement from {d: 5, r: 3, c: 1, k: 3, u: 2, e: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrjrrrttrrtr. What is prob of picking 4 r?\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiyihyyiyi. What is prob of picking 1 h and 3 y?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/6*1\/(-2)*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 3. Let c be u(0). Let l(x) = -2*x**2 - 5*x - 4. Let s be l(c). Let r = 16 + s. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004048.\nAnswer: 2, 3, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*-1 - 2*sqrt(4455))\/(sqrt(45)*-1*1)*5.\nAnswer: 130*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 669 + -605. Let k(t) = 57*t - j*t**2 - 26*t - 31*t - 204*t**2. Let g(p) = -p. Calculate k(g(x)).\nAnswer: -268*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977163006.\nAnswer: 2, 3, 349, 466649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(11) + -3 - sqrt(484)\/sqrt(11)) + (((sqrt(88) - sqrt(22))*-4)\/(sqrt(2) + (sqrt(2) - 6*2*sqrt(2))))**2.\nAnswer: -5*sqrt(11) - 31\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*s + 1655 = -433*s. Is -331 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 22 = -3*w - 8, -9 = -w - 5*s. Does 2 divide 3\/w*(-16)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-1)*(-270)\/360.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1385*q. Let b(r) be the second derivative of r**3\/6 + 14*r + 7. Determine o(b(c)).\nAnswer: 1385*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -22\/917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1568 and 71\/686.\nAnswer: 10976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4140305*n. Let p(z) = 5*z. Give p(y(c)).\nAnswer: 20701525*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 3*d**3 - d**3)*(-2*d + d + 3*d) + (-1 + 1 - d**3)*(d - 4*d + 5*d) + 2*d**4 + d**3 - d**3.\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/10)\/((-3)\/15). Let q be -4*(-12)\/(p\/2). Suppose 4*w + 8 - q = 0. Put w, 3, -4 in increasing order.\nAnswer: -4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from nsxaxmxaxxnsmaxm.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 3, k: 7, r: 2, x: 3, a: 1}. Give prob of sequence ccii.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699*c - 10 = -704*c. Solve -q - c*k = -3*q, 2*q + 3 = -k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 25. Suppose 6*l - 38 - 58 = h. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -823 - -1151. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + p - 3. What is the tens digit of t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = 0, 0 = -2*d + 4*g - 30 - 32. Let l = d - -42. Let c = 14 - l. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Suppose -7*q + 5*t - 11 = 0, 5*t - 12 - 19 = -3*q. What is the remainder when o is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/96*-38*(-65)\/741?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001 + 100?\nAnswer: -101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let w(x) = -x**2 - 2*x + 218. Let i be w(0). Let o = 220 - i. Sort 15, o, a in decreasing order.\nAnswer: 15, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -8*r - 14. Let i(b) = -b**2 - 5*b + 5. Determine i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9)*w)\/(w*((((w\/w**(-6))\/w)\/w)\/w)\/w))**(2\/3) assuming w is positive.\nAnswer: w**(-50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54333315 + 2338\nAnswer: 54335653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5411597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 0, -8*t + 10*t = 5*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2442320 is divided by 133?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 12*q = -48*q + 78, -5*d + 158 = -3*q + 56 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 37. Let t be z\/(-5) + 8\/20. Let i be (-9 - -10) + t*39. What is the highest common factor of i and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h. Let t be i(-1). Suppose -t*j + 6*j = 268. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 158. Let r = 1 - -4. Let w be 1\/1*(-1 + r). Solve -21 = 5*x + 3*q, w*x + 3*q + t + 5 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 242?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4517000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*j**3 + 2*h*j**2 - 5373*h*j - 2646*j**3 with respect to h.\nAnswer: j**3 + 2*j**2 - 5373*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 2:06 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111110000101010011100101011 + 10?\nAnswer: -11111110000101010011100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5828362.\nAnswer: 2, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.0999742 + 9.1. What is k rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 79. Let a = -50.99781 + p. Round a to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - k**2 + 8*k + k + 0*k**2. Let m(q) = q**2 + 2*q. Give 6*h(c) - 26*m(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13747 + -2413?\nAnswer: 11334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(288) + -1 + 5 + -4*(-2 + sqrt(288) + -2 + sqrt(288)))*3)**2.\nAnswer: -96768*sqrt(2) + 517248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 l when four letters picked without replacement from llvvvvvvvl?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 1 m when three letters picked without replacement from makyaaaya?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 10*g - 2. Let y be j(-8). Let p(z) = -z - 9. Let n be p(-11). Suppose 5*m = m + 5*c + y, 0 = -2*m - n*c + 16. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 32*k**2 + 300*k - 186. Let g be u(-10). Let b = 33 - 19. Let l be (-272)\/(-4)*b\/4. What is the highest common divisor of g and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69054 and 176612.6906.\nAnswer: 107558.6906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -57. Suppose -2*q + 130 = -z. Suppose -4*r + 261 = q. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -167, -333, -499, -665, -831, -997?\n\"Answer: -166*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -342, 75, 916, 2181?\nAnswer: 3870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157432411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-6) - (-846)\/838. Let x = -16732\/2933 - m. Calculate the common denominator of 1\/5 + 1623\/360 and x.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -1c81?\nAnswer: 1c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60983 in -3\/4, -0.1, 1\/9, -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {d: 1, n: 1, v: 1, t: 1, u: 1, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 34 - 4. Let i be 2\/(-4) + ((-5)\/p)\/(-1). Suppose 3*c = 4*w + 62 - 4, 5*c + 2*w = 62. Solve -5*b + 4*u - 3*u = -c, i = 5*u + 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121112221020210 (base 3) to base 9\nAnswer: -17487223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 925 + -913 + (-13 - -1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(189)\/(2*sqrt(9)))\/((sqrt(105)\/sqrt(7))\/sqrt(5)) + -3).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from muammaamummuaaaama.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*1 + (3 - 2). Suppose -2*z = -p*z. Suppose -4 = -2*b - z*b. Solve 3*k - 18 = 3*a, -5*k - a = b*a + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226414.\nAnswer: 2, 79, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -7171443305559.\nAnswer: -7171443305560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1379 = -274*g - 15*g - 223. Solve -6*h + 2*h - 2*t - 8 = 0, -g*h - 3*t = 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/60 and 17\/192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -57390839 and -57390841 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) 8 (b) 0.1 (c) -149 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114886679 to the nearest integer?\nAnswer: 10719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*g = 9*g + 100, -2*t = -2*g - 40. Factor 0 + 8\/3*y**t + y**3 - y.\nAnswer: y*(y + 3)*(3*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - 6 - 16\/10. Let r(v) = -v**2 - 4*v + 1. Let m be r(7). Let s be 0\/(-2) - m\/57. Sort s, 4, z in ascending order.\nAnswer: z, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 60 + 60)*(-2*t + 5*t + 5*t).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - t + 53 = 0, 49 = 5*t + 24. What is the least common multiple of o and 1478?\nAnswer: 8868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6993.717 nanograms to grams.\nAnswer: 0.000006993717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3277 and 1044.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o**2 + 21*o**2 - 15*o**2)*(-18*o + 67 - 67) + (-1 + o**2 + 1)*(o + 2*o - 2*o).\nAnswer: 73*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145\/132 - -5\/33. Let j = f - 1. Which is bigger: j or 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(128) - (sqrt(128) + -2*sqrt(128) + sqrt(128)))**2 + 2*((sqrt(128) + -3 - sqrt(128) - sqrt(128) - sqrt(128)) + sqrt(128)) + -3.\nAnswer: -16*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 0*t + 0 - 2\/11*t**4 + 2\/11*t**3 + 2\/11*t**2 - 2\/11*t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -138, -144, -154, -168?\n\"Answer: -2*t**2 - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0054273 rounded to 4 decimal places?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 5)*(6\/10)\/((-6)\/(-30))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-5))\/((-24)\/(-30)). Solve -4*x - 2*b = -2, -2*x - b + t*b - 9 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -327, -2495, -8349, -19731, -38483?\n\"Answer: -307*w**3 - w**2 - 16*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3142*f**2 - 9*f + 2*f + 3143*f**2 to the form p*f**2 + c*f + d and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 53 - 6*o - 2*o**2 + 21 + 15 - 90 + 0*o**2. Let j be 48\/(-10) - (-1)\/(-5). Let f(d) = 2*d**2 + 5*d + 1. Determine j*n(h) - 6*f(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 34. Let x(z) = 4*z**2 + 9*z**2 - 19*z**2 + 7*z**p. Let c(t) = 133*t. Give x(c(i)).\nAnswer: 17689*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2891 - 1479. Let m = n - 1412.3. Suppose 0 = 3*x + 1 - 10. Which is the closest to 1? (a) 0.29 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 249 = -2*a. Let h = a - 61. Differentiate 1 - h + 3 - k**2 - k**2 wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, f: 1, e: 1}. Give prob of sequence fej.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1, 12, 13 in decreasing order.\nAnswer: 17, 13, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**5\/5 + 143*x**4\/4 - 145*x**3 + 437*x**2\/2 - 146*x + 2918. Factor t(s).\nAnswer: (s - 1)**3*(s + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2. Let v(l) = 9*l**2 - 11*l - 3. Let p(f) = -2*o(f) - v(f). Calculate p(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -27416998.\nAnswer: -27416997.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (((3*sqrt(396))**2*-2 - sqrt(396)) + sqrt(396) - sqrt(396)))*-5 + -4.\nAnswer: -35644 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 16*w + 43. Let f be s(-17). Suppose -h + 2*b + f = -3*b, -2*h = 2*b - 28. Calculate the lowest common multiple of 80 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/2)*j*j)**(-6\/13)*((j*(j**(-2)*j)\/j)\/j)\/(j**7\/j*j)*j**1*j\/j**6*(j\/((j\/(j*j*j**(1\/4)))\/j))**(-2\/45) assuming j is positive.\nAnswer: j**(-16729\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 118320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 s when four letters picked without replacement from {f: 2, v: 10, g: 1, s: 4}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -514? (a) -0.4 (b) -0.07 (c) -0.5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.10765 litres?\nAnswer: 57107.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/281, -4, 0.5 in descending order.\nAnswer: 0.5, 2\/11, -2\/281, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*p)*(0 + p**3 + 0) + 2*p**4 - 2*p**2 + 2*p**2 + (-5*p**2 - 13*p**2 - 6*p**2)*(-2*p**2 + p**2 + 0*p**2).\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y + 7*f - 3*f, 5*f + 9 = 3*y. Find the second derivative of 15*z - 33*z**3 - y*z - 2 - 6*z + 10*z wrt z.\nAnswer: -198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3400 or 17003\/5?\nAnswer: 17003\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 380*s**2 + 18*s - 3426. Determine f(190).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 - 2. Let k be f(-2). Suppose 3*l - k*b = 268, -155 = -4*l - b + 195. Calculate the highest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h*i*l**2*w + 355*h*i*l*w**2 - h*i*w - 3*h*l**2*w + 686*i - 20231*l**2*w**2 + l**2*w - 4*l**2 - w - 2 wrt w.\nAnswer: 710*h*i*l - 40462*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 593833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.8, 0.03, -5, 21, 0.04 in ascending order.\nAnswer: -5, -0.8, 0.03, 0.04, 0.2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 434042 (base 5) to base 14\nAnswer: 5601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1.35.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10*t + 13. Let x(r) = 24*r + 28. Let q(i) = 5*s(i) - 2*x(i). Let g(f) = 2*f. Calculate g(q(b)).\nAnswer: 4*b + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -188\/3 - 2\/3*z**2 - 98\/3*z.\nAnswer: -2*(z + 2)*(z + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1 - (-6 + 5). List the prime factors of ((-1953)\/(-18))\/(c\/(-12)).\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 3*i + 12, 0 = 5*x + 2130*i - 2129*i + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + 0 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16996 - 0.4\nAnswer: -0.23004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1142141231 - -1?\nAnswer: 1142141232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 1. Let v(q) be the first derivative of q + 34. What is k(s) - 3*v(s)?\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -56 + 11 + 52?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 587528\/5*v - 2\/5*v**3 + 2168\/5*v**2 = 0.\nAnswer: 0, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggbgbxfggfgggg. Give prob of sequence bx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7524 is divided by 579.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.49 + -0.51. Let v = f + 19. Let r = 0.112 + -0.212. What is the second biggest value in v, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/49, -0.4, -10, 12 in increasing order.\nAnswer: -10, -0.4, 17\/49, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*c**2 + (-4*c + 4*c - c)*(-706 - 519*c + 706).\nAnswer: 517*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*y - 1404 = 477*y - 996*y for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)\/(15\/30). Solve b*v - 3*v = 3*g - 4, -v - 2*g + 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4\/5 + 112*v**3\/5 + 236*v**2\/5 + 24*v = 0.\nAnswer: -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/14*(-6)\/(-5))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**4 - 4*n**3 + n**2 + 1. Let x(d) = -5*d**4 + 212*d**3 + 169*d**2 - 8. Let j(r) = -x(r) - 8*z(r). Factor j(v).\nAnswer: -3*v**2*(v + 1)*(v + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3728.976mg to kilograms.\nAnswer: 0.003728976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29509087747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*-969*34\/357. Does x = -1296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-12)*(-5)\/(-3). Let a = 0 - -7. Put a, 1, g in descending order.\nAnswer: a, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a - 121. Let i be v(10). Let n(p) = -p. Give n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6))\/(19\/532). Is -4 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2940 divided by 2940?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from {r: 4, j: 2, x: 1, y: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 728 or 731?\nAnswer: 728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408600036 and 67977.\nAnswer: 9711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -135*p**2. Let h(f) be the third derivative of f**5\/12 + 42*f**2 + 29. Give w(h(o)).\nAnswer: -3375*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = b + 4*b, b = 4*t + 8. Let u(y) = -5*y**2 - 12*y**3 + 4 + 3*y**3 + 3*y**2 - 3. What is u(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006131 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 38. Calculate the smallest common multiple of 40 and v(-3).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98*v**3 - 123*v**3 + 24*v**3 + 78 - 81*v**3 with respect to v.\nAnswer: -834*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/11)\/((-29)\/29)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 16*k + 22. Give l(-8).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(-o + o - 2*o) - 80*o - 17*o - 74*o.\nAnswer: -177*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 3:07 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011100000 (base 2) to base 4.\nAnswer: -203200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 97, 81, 57, 19, -39, -123, -239?\n\"Answer: -r**3 + 2*r**2 - 15*r + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/57 - (-14 - (-75)\/25080*68*69)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 5*x**8\/336 - x**5\/60 - 6*x**2. Find the third derivative of v(n) wrt n.\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393.191 minutes in seconds?\nAnswer: 143591.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 - 2*w - 1. Suppose -2*d = -3*y - 19, -5*y = -2*d - 2*d + 33. Let c be z(d). What is the units digit of 33 - (c - -1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 717580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -1\/2502772 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 9*x**2 + 2*x - 13. Let q be j(9). Solve 234*u - q = 229*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/(w*w**(2\/21)))*w)\/(w**0\/w))\/(w\/(w\/w**(1\/16))*w\/(w*w**(-1\/3))))**(-11\/4))**(-1\/8) assuming w is positive.\nAnswer: w**(9977\/10752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 363*a**3 - 96*a**2 + a wrt a?\nAnswer: 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -36*u + 20. Let m(k) = -24*k + 13. Let w(d) = -5*b(d) + 8*m(d). Let s be w(1). Let o be 3*8\/(-12)*s. Solve -6*x = -2*x - o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158284793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((20 - -4) + -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -18*m + 699. Give b(37).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = 3*y, 3*t - 3*y - 12984 = 0. Let n = t + -43329\/10. Let i = 1518 + -5989\/4. Find the common denominator of n and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 - h - 2. Let v be i(-4). Suppose 0 = -3*s + v*s + 16. What is the remainder when s is divided by 2*9*((-230)\/(-20))\/23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 137439.\nAnswer: 4810365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(30)\/sqrt(150) - 2*(sqrt(5) - (3 + sqrt(5)))).\nAnswer: -36 - 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 3*a + q, -5*a - 2*q = -166 - 60. Let n(s) = -76*s + 36*s - a + 35*s. Let d be n(-10). Solve 4 = 5*y + o, -y = -4*o - d + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 6*d - 4. Let z be j(-5). Suppose z = -3*i + t, 5*t = -3*i + 3*t - 4. Is i != -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488115 and 154695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -140, -0.02, 3\/8 in decreasing order.\nAnswer: 3\/8, -0.02, -6, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -123*i**2. Let y(v) = 6*v**2. Give c(y(b)).\nAnswer: -4428*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2256 + 2252. Sort -5, 3, w, 0.0048 in descending order.\nAnswer: 3, 0.0048, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g**2 - 1 + (-2*g**2 + 4 - 4)*(-28 + 0 - 8))*(-129*g**2 + 258*g**2 - 133*g**2 - 19*g**3).\nAnswer: -1330*g**5 - 280*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 104\/16 + 2\/(-4). Let g**3 - 3*g**3 + z*g - 2*g**2 - 2*g = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3812194?\nAnswer: 2, 31, 61487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*g**5*t**2 + 814*g**5 + 2*g*t**2 - 58311*g*t + g wrt g?\nAnswer: -1740*g**3*t**2 + 16280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 8*h - 2. Let w be r(-7). Let q = w - 2. Let j(o) = o + 1. Determine j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c711 (base 16) to base 12.\nAnswer: -255a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t**2 + 3*t + 1. Let l = 10 + -7. Determine j(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 325069770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/28*(-1 - 1). What is the second smallest value in -0.3, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by -1.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 410, 619, 830?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*l = -519, -2*n + 2*l + 881 = 3*n. Let a = 0 - 0. Suppose -w + 4*g + a = -25, g + n = 4*w. What is the highest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:09 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 24*g - 1. Let l be u(1). Suppose -3*b = -w + 17, -4*w + 5*b - 2*b = -l. Suppose -51 = 2*r - 73. Calculate the lowest common multiple of r and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 740\/(-555) + 20\/6. Solve -2 = -w*b + 4*y, -2*b - 2*y = -0*y + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + w - 20 = 0, -5*n + w - 10 = -4*w for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -983 - -1650. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -c - 2*i, -c + 5*i = 15. Let s be 3140\/(-25) - (-2)\/c. Let b be 18\/(-81) - (-44)\/s. What is the second biggest value in 0.3, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*i = -92, 3*i + i - 34 = b. Let h = 24 + b. Let a(x) = x**2 - 4*x - 2. What is a(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 9*a + 14*a + 2*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**9\/60480 + u**8\/4032 + u**7\/5040 - u**6\/720 + u**5\/6 - 4*u**2. Let n(b) be the third derivative of m(b). What is n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -78, -1 in ascending order.\nAnswer: -78, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6938120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 23*f + 4. Calculate h(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 0.4, 5, 1.3 in increasing order.\nAnswer: 0.4, 1.3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 585*f**2 - 262*f - 4. List the prime factors of j(7).\nAnswer: 139, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a**2 + 2*a + 4. Let c be t(2). Suppose c*u - 4*g - 12 = 0, -g - 12 = 3*g. Suppose u = -5*s - 0*s. Solve s = -0*w + w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 78. Suppose 28 = -5*q + 88. Let h = n + q. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2891, 1, 11 in descending order.\nAnswer: 2891, 30, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -127. Suppose 196 = -9*u - 893. Let z = u + 181. Calculate the highest common factor of z and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**3 + 2. Let u(o) be the second derivative of 0 + 0*o**2 + 2*o - 1\/3*o**3. What is p(u(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -0.2 (c) 0.01 (d) 79 (e) -0.073\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 2011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-498)\/4)\/((-24)\/(-48)). Let d = w + 630. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-112)*(-84)\/70?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from hhhhhhhhghghhhhhhh?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -970483.\nAnswer: -970488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*t = 13, 3*d + 23 = -0*d + 5*t. Let v = d + -1. Suppose 4*n + 6 = -f, 6 = f - 0*n - 2*n. Which is the nearest to -0.1? (a) f (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 1, 2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 256*v - 9739. What is i(38)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 <= -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -336, -703, -1070?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54 - 2*g**5 - 7*g**2 + 54 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 454 + 25 = -17*q, 4*d - 4*q - 988 = 0. Calculate the remainder when d is divided by 157.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/5 - 132*j**4 + 34848*j**3 - 4599936*j**2 - 982*j. Factor w(t).\nAnswer: 4*(t - 132)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072131 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156770646 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 209 = -p. Solve -v + 16 - p = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34520400 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128603145, 257206288, 385809431, 514412574, 643015717, 771618860?\n\"Answer: 128603143*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2\/3 + 134366*s\/3 - 17916.\nAnswer: 2*(s + 13437)*(5*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 4 + 1 + 1)*(391 - 1985 - 1811 - 1727).\nAnswer: 20528*g + 10264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 <= 2717130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14 - (-3 - (1 + -2)). Let l be 9\/h*(-4)\/3. Let q be 3*1*l\/(-3). Is q at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let d be q(-1). Let t be (-1)\/(d\/4*-2). Let f = 172\/5 - 35. Is t less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = 3*i, -4*t = -2*i - 2*i + 16. Let x = 3 - i. Suppose -x*o + 0*o = -152. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74384082.\nAnswer: 2, 3, 359, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2644)\/27762*(-21)\/(-72)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v + 1. Let i(u) = -6*u + u**3 - 2*u**3 + 7*u**3 - 6. Let o(c) = -i(c) - 5*q(c). Let p be o(-1). Sort 0, p, -1.\nAnswer: -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = 15, -s = 5*f - 2787. Let m = f + -332. Let i = 329 - m. List the prime factors of i.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -119317, -119320, -119323?\n\"Answer: -3*a - 119314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -31*j + 67. Solve 4*h + j*d = 7*d + 20, -3*d - 15 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-4)*(8\/(-24))\/((-780)\/117)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10908119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32628 + -32628.03. What is the nearest to 30 in 4, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06386 - -0.9942.\nAnswer: 0.93034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2162 divided by 10\nAnswer: -1081\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*w + 582 + 457 + 317 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -434019, -434023, -434027, -434031, -434035, -434039?\nAnswer: -434043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/27 and (-16)\/(-56) + 3*(-3868)\/(-2016)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -90*w**3 + 4*w**2 - 4*w - 27. Let o be r(6). Is (14 + -7 - 8)\/(1\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -541322 (base 7) to base 3\nAnswer: -11210010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 63, -55 in descending order.\nAnswer: 63, 0, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = o + 17, 4*f + 25 = -2*o - 21. Is (-6)\/o + (27225\/(-35))\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 4\/15*i**3 + 8\/5*i**2 - 19*i + 0 + 1\/60*i**4. Factor k(g).\nAnswer: (g + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -137.\nAnswer: -2.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*l + 7. Sort -5, l, 1\/18 in descending order.\nAnswer: l, 1\/18, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 18144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 465 - 445. Let i be (63\/(-6) - 1)*-2. Suppose -s = -i*y + 18*y. Solve y = -4*c - 0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5173823 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 468? (a) 0.3 (b) -1 (c) 2\/21 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4713, 6899, 10551, 15675, 22277, 30363, 39939?\nAnswer: 51011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*r**2 - 2498658*r - 65454543.\nAnswer: -3*(r + 166551)*(5*r + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 6, c: 5}. Give prob of picking 1 z, 1 x, and 1 c.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-716)\/17 - (-2)\/17. Let c = w + 86. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1}. What is prob of sequence ko?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r + 8. Suppose 2*s**r + 12*s**2 - 2*s**3 + 14 - 5 - 7 + 10*s**3 + 8*s = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251*a + 5*a**2 + 254*a + 8 + 6*a**2 + 2*a**3 - a**3 - 8*a**2 to the form o*a + r + z*a**2 + w*a**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wqywwywqqwnw.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/14*(-8)\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/5 - 34*j**2 - 370*j - 950 = 0. What is j?\nAnswer: -5, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a2 (base 14) to base 11\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -948885*n**3 - 17*n - 8296479 wrt n.\nAnswer: -2846655*n**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 31044*d + 86550394.\nAnswer: 2*(d + 3643)*(d + 11879)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 14, j: 5}. Give prob of sequence juj.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 6*n - 33. Let k be b(6). Suppose 0 = -27*m + 14*m + k. Suppose -3*y - 3*i + 297 = 0, 0 = 2*y + m*i - 95 - 103. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 5*q**2 + 2*q**2 + (-1 - 2*q + 1 + (-4*q + 2*q - q)*(-4 + 3 - 1))*(0 - 2*q + 0).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n. Suppose -3*j + 1 = -4*j. Let m(g) = 6*g**2 + 11*g - 8. Let s(q) = j*m(q) - 5*w(q). Calculate s(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0435268 to 3 decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/70*(-28)\/6. Solve 0 = -4*a + l*a - 4*k, -3 = a + 5*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*d + 98163 = 0, -d - 18 = -4*d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2940, 2942, 2944, 2946?\nAnswer: 2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67999, 68042, 68113, 68212, 68339, 68494, 68677?\nAnswer: 68888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 67*p + 93*p - 27*p + 20*p**2 + 8 to i*p + z + q*p**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v - 9*v - 13*v + 42*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -92*a**3 - 1863*a**2 + 17328. Let n(p) = -37*p**3 - 932*p**2 + 8665. Let u(w) = -2*c(w) + 5*n(w). What is the derivative of u(t) wrt t?\nAnswer: -3*t**2 - 1868*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/6 - 125852*q\/3 + 83901\/2 = 0. What is q?\nAnswer: 1, 251703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-9)\/(-54))\/1. Let k(a) = -239*a**2 - 6*a - 11. Let s(q) = -80*q**2 - 2*q - 4. Let x(v) = -3*k(v) + 8*s(v). What are the prime factors of x(m)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 8*l**2 + 5*l - 6. Let b be t(4). Suppose -w = w - b. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000922 to six decimal places.\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z**4 - 28*z**4 - 38*z**3 - 18*z**3 - 4*z**5 - 36*z - 8*z**2 + 96*z + 36 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 9961*f + 369926.\nAnswer: -(f - 9998)*(f + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 + c + 1. Suppose 8 = -2*i - 2*i + t, i + t = 3. Let a be q(i). Solve 16 = 4*z + 4*x, a*z - x - x = 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433764361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.1 minus 2978654987?\nAnswer: -2978654962.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10701*f**3*y**2 - 6*f**3 + 333*f + 26*y**2 - y + 2 wrt y.\nAnswer: -21402*f**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4 + 5 + 3*m**3 + 5*m**2 - 2*m**3 - 10*m**2. What is x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794670 to the power of 1\/2, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/22 and -61\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2960 and 4043545.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 5 + m**3 - 5*m**2 + 3*m + 0*m**3. Let t(f) = f**2 + f - 1. Let j be t(-3). Suppose -j*h + 0*z = -5*z - 40, 4*h - 3*z = 28. Calculate o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 1107, 3807, 9079, 17781?\nAnswer: 30771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 92119.03 nanograms?\nAnswer: 0.09211903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6505)\/22117*(-102)\/40?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 27 = 4*r, -26*r + 60 = -2*v - 5*r + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/4 - 45*s**2\/4 - 104*s = 0. What is s?\nAnswer: -32, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*f - 12801 = 854*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20110, 40030, 59654, 78868, 97558?\nAnswer: 115610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**2 + 8. Suppose 0 = a - 1 - 1. Let w(d) = -12*d**2 + 30*d**2 - 15*d**a. What is w(l(j))?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-4*sqrt(132) - (-1*sqrt(132)*-1 - sqrt(132)))\/(1*(-3*sqrt(1452) + sqrt(1452))*-6))**2.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1440775.\nAnswer: -3\/1440775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -327978.\nAnswer: -131191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -17499600 to the nearest ten thousand.\nAnswer: -17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -45. Let w = -121\/5 + 24. What is the nearest to b in w, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 39*s + 111. Let j be k(41). Is j < 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(5 + 2*sqrt(117) + sqrt(117)))**2.\nAnswer: 12960*sqrt(13) + 155232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 14*q**2 - 2*q - 19. Let o be m(-10). Let a = o + 2518. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249140055 + -16.53.\nAnswer: -249140071.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 10 = -4*z + 6*z, 0 = 5*x - 2*z - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 256*k + 41*k + 303*k as d + u*k and give u.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250183 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 75*w**2 - 33*w + 154. Calculate l(-37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4161, 5084, 6001, 6912, 7817, 8716, 9609?\n\"Answer: -3*f**2 + 932*f + 3232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o = -5*q + 5, 4*o - 2*q = 30. Let d = -75 - o. What is d rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36050 and 80?\nAnswer: 288400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 - 45*r + 178. Let u be o(4). What is the highest common factor of 208 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/720 - o**5\/40 + o**4\/6 - 4*o**3\/9 - 9*o**2. Factor v(p).\nAnswer: (p - 4)**2*(p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 465 - 1c?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**3 - v. Suppose -13 = -5*m - 2*o, -2*m - 5*o = -m - 21. Let k be z(m). Differentiate 4 - 4*x**4 - 6*x + x + k*x wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 701*a**4\/4 + 2*a**3\/3 + a**2\/2 + 2*a - 3. Let i = 6 + -8. Let p be n(i). What is p rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332931712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12080 (base 9) to base 5\nAnswer: -224331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n + 492. Let g be p(18). Solve g - 3 = -3*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -2) + (65 - 53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 328153 and -814.3008.\nAnswer: 327338.6992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29964\/(-1452) + 21 + (1 + 0 - (-663)\/(-99))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59c (base 13) to base 3.\nAnswer: 1100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -680 + 676. Let b(o) be the third derivative of 0*o + 0 + 1\/120*o**6 - 1\/3*o**3 + 1\/15*o**5 - o**2 + 0*o**4. Calculate b(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -126.8. Are k and -0.07 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2040240 (base 5) to base 2\nAnswer: -1000010000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - 0.90344.\nAnswer: 8.09656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -959?\nAnswer: -27\/959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Suppose 11 = h*f - 9. Let m = 0.222 - 0.122. What is the nearest to 0.1 in f, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 4, j: 2, h: 1, d: 2, l: 1}. Give prob of sequence lowo.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = -10. Suppose -h*u = -0*u - 24. What is the smallest common multiple of 3*(1 - (-13)\/3) and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 22. Let o = -3 + 7. Solve -d + 2*d - o = g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3077296 times -321\nAnswer: -987812016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -1830.\nAnswer: -1830, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34560.73 millilitres?\nAnswer: 34.56073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 230 = 5*i, 0 = 2*v + i - 141 - 17. Suppose 195 = 5*s + v. Suppose p = 5*p + m - s, -2*m + 16 = 3*p. Solve -p*k = -k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/6)\/1 - (-16)\/24. Let o(w) = w**3 - 2*w**2 - 6*w + 11. Let q be o(n). Solve q*g = 2 + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10616886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*n - 387, -2*n + 123 = -5*m - 88. Find the common denominator of (-2)\/(6 - n\/18) and 43\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1 + -9 + 12. Let y be (-4)\/8*l - -2. Let t = -1265 + 1264.8. What is the closest to t in 1\/2, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*d - 56*d + 40*d as a + j*d and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + -2 - (2*sqrt(343))**2.\nAnswer: -1374 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3*z*z)\/z**(1\/8)*z**0*z\/(z\/z**3))**(-43) assuming z is positive.\nAnswer: z**(-2709\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2285008.\nAnswer: 2, 11, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = j - 2*y, -4*j - 11 + 4 = -3*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 22 + 3 = 5*p, p - 3*b - 7 = 0. Let n(j) = -12*j - 80. Let a be n(-7). Suppose 5*z - a*u - 725 = -18, -683 = -5*z - p*u. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1421 + 2*y - y + 1152 as h*y + g and give g.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - sqrt(99)*-3) + sqrt(99))*5 - (sqrt(99) - (sqrt(99)*3*-5 + sqrt(99) + sqrt(99) + sqrt(99))))\/((-2*sqrt(576))\/(sqrt(36)*2)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 10. Let r be n(-5). Let i(h) be the second derivative of 11*h**4\/12 - h**3\/6 - 7*h. Let s be i(1). Solve r = -4*m + 6 + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y - 4 = 0. Suppose y*g - 5*g + a = 1, 3*a - 3 = 4*g. Let c(p) = -p**3 - p + 2. Calculate c(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let a be -1 + 6\/9 + 204\/18. Let c(i) be the first derivative of -a + 11*i**2 - i**2 - 4. What is p(c(y))?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*f - 3 + (-3 + 0 + 1)*(2*f + f - 4*f))*(0 - 2 + 4)*(8*f + 2*f - 5*f).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1157\/2 + -572. Let u = -1\/1126 + -54043\/5630. What is the common denominator of m and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 + (104 - 104)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3.4. Let p = -1.7 + u. Let x = p + -1.1. What is the nearest to -1 in 3\/5, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 15) to base 9.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24487650 a multiple of 485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 4*y**2 + 1 + 5*y**2 to a*y + g*y**2 + w and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v**3 + 52*v**3 - 22*v**3 + 3 - 3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3)\/(-2 - -3). Let b(o) = -9*o + 2. Let j be b(-4). Let l be (j\/(-18) - -2)\/(-1). Are l and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 2*j + 119. Suppose 254 - j = 56*a. Solve -a*o = -o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1692ec (base 16) to base 3.\nAnswer: 2210011100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-1155))\/((1\/(-6))\/1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15712.689 or -0.049?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 151*j**2 + j**4 - 150*j**2 + 4 to the form q*j**4 + g*j**2 + f + h*j**3 + k*j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9.4, 1, 3?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9019, 71824, 242315, 574336, 1121731?\nAnswer: 1938344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 7*g**2 + 22*g - 327. Let w be z(-8). Sort 0, -4, -5, w, -3.\nAnswer: w, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 12) in base 6?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -143?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -682, -1095, -1508, -1921, -2334?\nAnswer: -2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**6 - 36*k**5 + 43*k**2 wrt k.\nAnswer: 480*k**3 - 2160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*l**3 - 4 + 2*l**2 + 219*l**3 - 6*l**2 + 7*l + 3*l**2 - 439*l**3 in the form n + g*l + w*l**3 + m*l**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -133. Let s = 1760 + -1760.2. What is the nearest to 1.4 in s, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -63950 in ascending order.\nAnswer: -63950, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 4, -2, -5, 5 in ascending order.\nAnswer: -171, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/10 + i**4\/6 + 4*i**2. Is 19 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**5\/4 + 1445*o**4\/4 - 102255*o**3\/4 + 1578055*o**2\/4 + 840875*o\/2 = 0. Calculate o.\nAnswer: -350, -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**4\/5 - 31360*m**3 - 3547868*m**2\/5 + 1304584*m\/5 + 2400096\/5 = 0. Calculate m.\nAnswer: -13044, -23, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + 4*o)*(8*o**3 + 8*o**2 - 6*o**3 + 4*o + 4*o**2).\nAnswer: 4*o**4 + 24*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1175395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 744*m**3*n**3 - 12*m**2*n**3 + 5*n**3 - 3801*n**2 wrt m?\nAnswer: 2232*m**2*n**3 - 24*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 413225 = -112733. Let l = -8152 - i. Suppose a - 8*a + l = 0. Round a to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12895330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*m**2 - 2*m**3 + 8*m**2)*(68 - 17 - 28 - 1 + 0 - 1 + (-1 + 2 + 1)*(1 - 1 + 1)) to j*m**3 + x*m**2 + r + a*m and give j.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 3*sqrt(110)*4 + sqrt(110) + 6*sqrt(110)*-4)\/(-6*-6*(sqrt(10) - sqrt(30)\/(sqrt(27) + sqrt(3)))).\nAnswer: -10*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let o(u) be the first derivative of 6*u**2 - 5*u**2 - 5*u**3 - 56 + 28. What is q(o(g))?\nAnswer: 30*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83617697 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15515.635 - -3.81497.\nAnswer: -15511.82003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*s - 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12155 or -11728?\nAnswer: -11728","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 14) in base 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84.19 + -86. Let s = 0.19 - v. Let k = 0.3 - 0.2. What is the nearest to k in -0.1, 3\/8, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318727324?\nAnswer: 2, 37, 2153563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 h when four letters picked without replacement from {h: 12, c: 3, x: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k. Suppose k = 3*u - 5*t - 25, -2*u + 1 = t - 7. Find s, given that 39*s**5 - 33*s**5 - u*s**4 + s**2 - s**3 - s**3 = 0.\nAnswer: -1\/2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4\/7, 1, 1\/5 in decreasing order.\nAnswer: 11, 1, 4\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -54 (b) 46324 (c) -2 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/180 - y**4\/12 + 2*y**2 + 21*y. Find m, given that o(m) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 935 = h, 4*h - w = w + 3780. Suppose 5*c - h = -342. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4820 + -4?\nAnswer: -4824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072842 to four dps.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.785 and 0.5?\nAnswer: 1.3925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (-9 + -7 + 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 10) to base 13\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/33745 and 70\/60741?\nAnswer: 303705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 3*f - 9 + 1 + 8.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 j, and 1 s when four letters picked without replacement from njesjtyns?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863156995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = -h, 5*h = 5*p + 1 - 51. Let c be (h\/(-6))\/((-15)\/(-10)). Solve -2 + c = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*s - 1990 = 0, -21*g + 16*g = s - 10007. Suppose 14*r - g = 4312. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17953125.8 or 0?\nAnswer: -17953125.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 8 + (-6)\/2. Let d = -47 - -72. Suppose -13 - 7 = 5*y, d = w + 5*y. What is the highest common divisor of w and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127525 is divided by 14169.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 56, 9, -128, -379, -768, -1319?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -10792.2?\nAnswer: -10790.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 6*u + 12. Calculate l(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -1\/4, -0.4 in decreasing order.\nAnswer: -1\/4, -0.4, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 27*s**5 - 2*s**3 - 34*s**2 - 2. Let y(a) = -81*a**5 + 7*a**3 + 102*a**2 + 7. Let m(f) = 7*q(f) + 2*y(f). What is the third derivative of m(r) wrt r?\nAnswer: 1620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 20, 39, 2 in descending order.\nAnswer: 39, 20, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -11 + (1 - -3) - (21 + -8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 0.0191451073215.\nAnswer: -1.0191451073215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*v - 2*c - 1201, 2*c + 1998 = 5*v. Let r be (100\/v)\/(1\/36). Solve r = -8*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 4*y + 2. Let m be s(-2). Suppose 5*v - 2*v = -2*o - 2, -v - o - m = 0. Find the third derivative of -w**2 + 2*w**4 + 5*w**v + 12*w**4 wrt w.\nAnswer: 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7045 - -649. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25039*z + 24993*z + 874 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -38*c**2 - 22*c - 2. Let k(p) = -39*p**2 - 22*p - 3. Let w(y) = -3*b(y) + 2*k(y). What is the second derivative of w(r) wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 23*d. Let y(o) = o**2 + 0*o**2 + 0*o**2 + o**2. Calculate y(a(n)).\nAnswer: 18*n**4 + 276*n**3 + 1058*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-15)\/2)\/(6\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + -0.03. Let l = 0.55 + g. Let v = 3 - 8. Which is the third biggest value? (a) l (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-51))\/((-6)\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 129.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -24*d - 148. Let a be x(-8). Suppose 178656 = a*l + 4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/4 + 5\/28. Let j = -5 - -4.6. Suppose -32*o + 196 = 132. Which is the closest to j? (a) p (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10*81\/36)\/((-33)\/(-10))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 50. Let z = -316 - -321. Suppose 0*v + 5*p + 345 = z*v, 3*p - 9 = 0. Calculate the remainder when v is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13181797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3624 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4160 divided by -832\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Let f be 8 - (g + -1 + 4). Suppose -29 = -5*z + 3*j + 50, f*j = -5*z + 55. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -12 + 2*l - l + 3*l + 4*l + l**2. Let a be x(-9). Let g = a + 28. Solve -4*r - s - g = 2*s, 3*s = -5*r - 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 23544332?\nAnswer: 164810324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w - 140 = -90*w. Let o be (-66996)\/(-21) + (-8)\/w. Is o\/4 - 2\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12315*n**3 - 493*n**2 - 220?\nAnswer: -73890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -49*h**2 + 21*h. Let y(w) = -5*w**2 + 2*w. Let z(j) = -2*a(j) + 21*y(j). Let q(v) = 4*v. Determine q(z(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -97, -12, 1 in decreasing order.\nAnswer: 1, -1, -4, -12, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + c = -1, -2*s + 0*c - c = 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 2*r - 2*r)*(-69 - 24 + 0) - 2 + 2 - 2*r to the form w + h*r and give h.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/13, -0.1, 1\/10, 28, -404, -0.4, -12\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2396 is divided by 417?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1368549 - 1368409.94935. Let m = 139 - f. Let y = -0.05 - m. Round y to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-63))\/(156\/(-910))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 104 = -24*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*r**2 - 31*r**2 - 6*r**5)*(2 + 1 - 7 + 1 - 2 + 0 + (-2 + 2 - 1)*(-1 + 4 - 4) + 0 + 4 - 2).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(300) + 0 + -2 + 4*-1*sqrt(300)*-2)**2.\nAnswer: -1260*sqrt(3) + 24349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1\/3, 2\/9, -3, -10, 123.\nAnswer: -17, -10, -3, -1\/3, 2\/9, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 21822606227.\nAnswer: -21822606229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 484, 25, 2, -209, 0, 1 in descending order.\nAnswer: 484, 25, 2, 1, 0, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000267044 to seven decimal places.\nAnswer: 0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*l**4 + 6827681*l**3*p**3*x + 2*l*x + 28294698*p**3 + p**2*x wrt l?\nAnswer: -144*l**2 + 40966086*l*p**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 75*w + 2. Let c be u(-2). What is the units digit of (-4)\/10 + c\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 57*k**3 - 624*k**2 - 14592*k - 36864.\nAnswer: 3*(k - 16)*(k + 3)*(k + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -0.5, -575?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1098 and 85\/4026.\nAnswer: 12078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 59750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > 32\/204429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136210 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 r be -6 + ((-236)\/(-56) - (-12)\/8). What is the nearest to r in 45, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*j + 7. Solve d = j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wpprrpwrplw.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y - 507871 + 507871.\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(26)*-1 + sqrt(26) - sqrt(26)))\/(4*-1*sqrt(32)).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + ((-9776)\/(-2115) - (-2)\/(-9)). Put 467, -3, z in ascending order.\nAnswer: -3, z, 467","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 8*g**2 + 4*g - 40. Suppose -5*b + 5*m - 40 = 0, -b - 9*m - 14 = -4*m. Let f be o(b). Solve z - 6*z + f = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297*f**4 + 92*f**4 + 3 + f**2 - 377*f**4 + 4*f to n*f**3 + g*f + m + p*f**2 + z*f**4 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 140 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 9) in base 12?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*v*y**2 + 77*v*y + 22*y**2 - 107*y + 1 wrt v.\nAnswer: -6*y**2 + 77*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 - 247. Calculate the greatest common divisor of n and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 556864669 and 9.\nAnswer: 5011782021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 1351?\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2191205963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -200 - -197. Let j(q) = q**2 + q. Give j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a + 7*a + 7*a + 289 - 153 - 17*a - 147. Let i(g) be the third derivative of -g**5\/12 + 3*g**2. Give i(c(h)).\nAnswer: -80*h**2 + 440*h - 605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/30 - 210*z**5 + 551250*z**4 - 771750000*z**3 - 4187*z**2. Let r(f) = 0. Calculate f.\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 10. Let o be h(10). Let i(c) = -5*c - 7. Let j be i(-7). Suppose -4*r + j = -o. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11 - 128*a**3 - 75*a**3 + a**2 - 3 + 73*a**3 + 13. Let c = 4 + -5. What is the hundreds digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3206 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1444, -11031, -36456, -85447, -165732, -285039, -451096?\nAnswer: -671631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100) - (-1*sqrt(2100) + sqrt(2100) + sqrt(2100)))\/(-4*sqrt(28)) - ((sqrt(432) + 0)*1 + -2 + sqrt(432) + 1)**2) + 5.\nAnswer: -1724 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 45. Let f be z(-12). Is f at most as big as -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 790125 and 1155.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**3 - 25*t**3 + 0 + 1 + 5*t**3 to the form c*t + n*t**2 + p + o*t**3 and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 4*b)*(b + 2*b + 2*b + (-2 - 1 + 5)*(-3*b - b + 3*b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**3 + 0*j**6 + 0*j**5 + 0 - 19\/168*j**8 + 0*j**7 + 35*j**2 + 0*j + 7\/12*j**4. Find the second derivative of h(x) wrt x.\nAnswer: -760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/4 of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17 - 13 - (-7 + 7 - (-22809)\/5748) and -61\/8.\nAnswer: 3832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(2\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10225*a**6*j**3 + 91*a**3*j**3 + 4*a**2*j**3 - 151*a**2 - 2*a*j**2 - 1234*j**3 wrt a.\nAnswer: -1227000*a**3*j**3 + 546*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*38.\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 36 = 4*k + 4*n, -4*k + n = -20. What is the second derivative of v**4 - 14*v**3 - 2*v + 31 + 2*v**3 - 2*v**4 - k*v**3 wrt v?\nAnswer: -12*v**2 - 108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.894 - 7.194. Is -104 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 1, m: 3, e: 5, i: 1}. What is prob of sequence immo?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15477 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 1000060264?\nAnswer: 1000060236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61239, -122455, -183647, -244815, -305959, -367079, -428175?\nAnswer: -489247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2570 and -39\/4067282.\nAnswer: 20336410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(2\/402). Suppose -o*p = 11748 - 44444. Is p a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 930260 and 13124.\nAnswer: 15814420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -25.52, -3 in decreasing order.\nAnswer: 2\/9, -3, -25.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3 + (sqrt(1100) + 4)**2)*-2 - -6*(-4*(sqrt(11) - 2*sqrt(11))**2 + 4*sqrt(44))).\nAnswer: -2486 - 112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13552 (base 7) to base 6.\nAnswer: -25104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 22. Suppose 0 = -4*n + 3*t + 54, -n - 4*t + 16 = n. Calculate the greatest common factor of c and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 442920*x**2 - 1771740*x - 1771760.\nAnswer: 5*(x - 88588)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289166 is divided by 261?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:54 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**5\/20 + k**3\/6 + 2*k**2. Let n = -24 - -25. Determine y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z + 1. Let l be t(3). Solve 2*n = -3*a + 7 - l, 4*n = 5*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9215129cm?\nAnswer: 9215.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 6*a + 7. Let v be y(5). Let u = v + 241\/5. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 10*g - 15*g. Let u(s) = -9*s - 61. Let y be u(g). Which is the third smallest value? (a) 5 (b) y (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29724651 and 803?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 282356739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -122.69 (b) -118 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 266\/3. Let d be -3 + 2010\/624 + 6\/(-16). What is the closest to -2\/3 in v, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/85624 and -117\/895160?\nAnswer: 9846760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -334546439*c**2 + 102503060*c + 3.\nAnswer: -669092878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let x(g) = -4*g - 3*g + q*g - 5*g**2 + g + 4. Let u(s) = -30*s**2 - 25*s + 25. Let o be (-4)\/6 - (-420)\/90. Give o*u(a) - 25*x(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6230, 3.1, -1\/2 in decreasing order.\nAnswer: 3.1, -1\/2, -6230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*l**3 + 17*l**3 + 4.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11ecc (base 15) to base 14\nAnswer: -16c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002597922 rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7154.2 - 5413. What is r rounded to the nearest 10?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -3253*c + 3266*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1560 + 1560 + 121*b**2)*(-b**2 + 2*b**2 - 2*b**2).\nAnswer: -121*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(7 - 1 + 1)*(0 - c + 0)*(2 - 4 + 1) + (5 - 5 + 2)*(1 - 1 - c) as v*c + t and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**9\/15120 + q**5\/6 - 5*q**4\/4 + 18*q. Let g(w) be the third derivative of z(w). Differentiate g(p) wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 69*n**2 + 70*n - 6. Let p be b(70). Which is greater: p or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 127 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + o**2 - 2. Let j be q(-2). Let a = j - 3. Suppose 5*t + 2*b = 12, -2*t + 0 = 3*b - a. Is t less than 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.4152, 7.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 26 = d, -4*d - 172*k = -176*k + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by 5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5117 at least as big as 5117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2*7\/56. Let t = 6.6 + -7. Which is the third biggest value? (a) i (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + (-2 - -8) + (-29 - -36).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = 5*k - 9, -3*n + k + 4 = 0. Suppose 2*v + 23 = 5*x, -x = 3*v - 4*x + 12. What is the smallest common multiple of 9 and (v\/1 - n)*-6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -337872 divided by 4\nAnswer: -84468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 40 - 21)*(0 - 2*v**2 + 0) + v**2 - v**2 - v**2 in the form h*v + l*v**2 + r and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -108. Let j(a) be the third derivative of 0*a + 9\/20*a**6 + 1\/10*a**7 + a**5 + 0 - a**2 + 0*a**k + a**4 + 1\/112*a**8. Factor j(t).\nAnswer: 3*t*(t + 1)*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. Suppose 4*y = -5 + l. Put y, -2, 3 in ascending order.\nAnswer: -2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(72)\/(sqrt(24)\/sqrt(4) + sqrt(6))) - (sqrt(192) + -1))**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + 2)**2*-4)*-5.\nAnswer: -10080 - 850*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 861*t - 41. Let p(i) = 43*i - 8 + 8 + 3 - 2 - 3. Give 2*d(q) - 41*p(q).\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-5 - (2 + 12))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*v - 672*v**2 + 332*v**2 + 338*v**2 - v + v - v**2 + (-3*v - 3*v + 4*v)*(v + 0*v + v) to r*v + h + w*v**2 and give r.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7440*u**4*v**2 - u**2 + 840*u*v**2 + 2*v**2 wrt u?\nAnswer: -89280*u**2*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1*(-1 - -2). Suppose -r*l - 1 + 5 = 0. Suppose 18 = i + 3*h, 2 = -2*i + h + 3. What is the remainder when i is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 31*s = -39 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 - (2 + -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(2) + sqrt(2) - (sqrt(8) + -5)) + -4)**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -214*j - 338. Let f be y(-2). Let r = -79 + 151. Calculate the greatest common factor of f and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 3 + l**2 + 0*l + 4*l. Let p be h(2). Let z = 11 + p. What is the smallest common multiple of z and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 20341\nAnswer: 2\/20341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/32*(6 - (-116)\/(-20))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39309007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.4 - 14. Let m = j + 0.1. Suppose -10*h - 12 = -7*h + 2*w, -3*w - 1 = -4*h. What is the biggest value in h, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 871 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsrq when four letters picked without replacement from {s: 1, q: 1, m: 2, r: 4, p: 3, k: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -566400 rounded to the nearest 1000?\nAnswer: -566000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3178 - 0.1178. Put u, 0.1, -485 in descending order.\nAnswer: u, 0.1, -485","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 5*u + 3. Let z be c(-5). Suppose 8 = z*w - 13. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5356 + -1.2.\nAnswer: -0.6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0*o + 3*o)*(-53*o**2 - 3 + 117*o**2 + 260*o**3 - 262*o**3 + 359*o**2) in the form g + r*o**2 + d*o**4 + b*o**3 + a*o and give b.\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4248, 16588, 37016, 65532, 102136?\nAnswer: 146828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562836?\nAnswer: 2, 11, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -87. Suppose o = 14*h - 24*h + 11*h. Solve 10 = -h*s - 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/1)\/((-115)\/(-40) + -3). What is the highest common factor of m and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 156 = -4*f + 10*p, 2*f - 3*p - 81 = 0. Calculate the least common multiple of 63 and f.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23009 + 9?\nAnswer: 23017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*z + 7*z. Let d be 4\/12 + 32\/(-6). Let o be (d + 3)*(-1 - z). Solve -o*a + 2*f - 8 = -3*a, 3*f + 14 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, w: 3, k: 1, x: 6}. What is prob of sequence wwk?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -276 (b) 0 (c) 4180\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657061.6 millilitres in litres?\nAnswer: 657.0616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -541.1*-550\nAnswer: 297605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 21 - 169 = 0. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34690539*b**3*g**3 + b**3*g**2 - 2*b**3*g - 225*b**2*g**2 - 2226*b*g**2 - g wrt g.\nAnswer: -208143234*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764048151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*k - 28 = k, -22 = -4*c - k. Let y(v) = 14*v**2 + 12*v - 26. Let h be y(c). What is the highest common divisor of 50 and h?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/20)\/((-3)\/(-24)). Let r = 4 - 0. Suppose -2*p = r + 2. Put p, -1, n, 0.2 in descending order.\nAnswer: 0.2, -1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -917*n - 10*n**3 - 2*n**3 + 922*n to the form b*n + o + c*n**2 + j*n**3 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 1. Suppose 0 = -4*o - 17 + 5. Let g be t(o). Let p be ((-3)\/(-66))\/((-2)\/g). Which is the closest to -2\/7? (a) 1 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 17*w**2 - 38*w + 5. Suppose 3*h = -u - 60, -5*h = 2*u - 7*u + 80. Let r be p(h). Which is the nearest to -2\/19? (a) 2 (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1619, 3291, 4963, 6635, 8307, 9979?\nAnswer: 11651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 12 = 0, 5*j + 23 = 4*a + 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 - 13*a + 11. What is p(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61\/105 + -3\/35. Let t = -1\/6 - z. Sort -1\/7, t, -6 in descending order.\nAnswer: t, -1\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -13*g**3 + 10*g**2 + 2*g + 36. Let c(u) = -10*u**3 + 9*u**2 + 2*u + 31. Determine -7*c(z) + 6*p(z).\nAnswer: -8*z**3 - 3*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 divided by 6?\nAnswer: 725\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 2*q**3 - q**3)*(3*q - q - 3*q)*(1 - 2 + 3).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5)*(q\/q**5)\/q*q*q**(-3\/5)*q\/(q\/(q\/(q*q**(-3\/2)\/q*q))))**(-5) assuming q is positive.\nAnswer: q**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115437 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 8. Let w(i) = -i + 7. Suppose 41*a + 84 = 55*a. Calculate a*x(z) + 7*w(z).\nAnswer: 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.2121 millilitres in litres?\nAnswer: 0.3512121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 36 = -4*c. Let y be ((-435)\/(-4))\/(2\/32). Let d be y\/54 + (-2)\/9. Calculate the greatest common divisor of d and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1697 and 27.\nAnswer: -45819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -267, -346, -405, -438, -439, -402, -321?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s**(-1\/6)*s*s**(2\/11)*s*(s*s**(-1\/4))**(24\/13)*((s**4*s*s)\/s*s)\/s**(4\/3)*s*(((s\/(s\/s**4*s))\/s)\/s*s*s)\/s*s\/((s**(-1)*s)\/s) assuming s is positive.\nAnswer: s**(4595\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-236 + 7)*27\/18. Let i = -343 - j. Put i, 1, 2\/145 in ascending order.\nAnswer: 2\/145, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -11461?\nAnswer: -11457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -3 - (-23 - -39 - 9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25103169 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -15. Suppose a*c - 44 = c. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 415 (b) 0.1 (c) 4 (d) -1517 (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-595)\/(-170)*4\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)*w*w\/((w*w**12)\/w*w*w))\/(w**5*w)**47 assuming w is positive.\nAnswer: w**(-587\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30871671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p - 28. Let d(h) = -8*h - 28. Let n(u) = -4*d(u) + 3*x(u). Let v be n(-5). Let c(g) = g**3 - 3*g**2 - g + 4. Calculate c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 300665924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**12))\/(w\/((w**(-11\/2)\/w)\/w))*w*w**4*w**(2\/11)*w*w assuming w is positive.\nAnswer: w**(-293\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.081932054 * 0.02\nAnswer: 0.00163864108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 160, 255, 388, 559?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y - 3*g - 30, 4*g = 0. Let j = y - -6. Factor 0 - 7\/4*r**4 + 1\/2*r**2 - 5\/4*r**3 + j*r.\nAnswer: -r**2*(r + 1)*(7*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let f(c) = 24684*c**2 - 773*c. What is f(w(l))?\nAnswer: 98736*l**2 - 1546*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 6*b - 15360 = 0. Suppose -c = 4*c - b. Is c a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 32*f**2 - 128*f - 32. What is the lowest common multiple of 195 and r(-19)?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -623 + 625. Solve 9 = -5*v + q*n + 1, 16 = 4*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/12 + 7*u**3\/6 + 6*u**2 + 595*u + 1. Factor a(y).\nAnswer: (y + 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 46*b**4 + 11*b**2 + 11*b - 19. Let s(j) = 15*j**4 + 4*j**2 + 4*j - 6. Let v(d) = -4*n(d) + 11*s(d). Differentiate v(w) wrt w.\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 3*x**4 + x - x**2 - 4*x - 26*x**3 - 2*x**4 in the form u*x + d*x**3 + h*x**4 + r*x**2 + q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7773 - -7905. Calculate the highest common divisor of t and 29788.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 21*c**2 + 20*c + 12. Let j be r(20). Let d be (-2)\/(-8) + (-75)\/(-20). Calculate the remainder when 303\/j + (-1)\/d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 10580197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 8 + 47*r - 445*r + 4 to l + n*r and give n.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 1)*((-118 - 7 + 22)*(13 - 13 + 3*c) + 4 - 3*c - 4) to t*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, 0.07, -1\/18, -2.\nAnswer: -2, -1\/18, 0.07, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30623 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9507 + 9507.1. What is the biggest value in 1\/5, g, -25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and (13\/(182\/(-60)))\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 412\/3 + 5\/(45\/6). Suppose -m = -20*j + 18*j. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -49?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 29, -3, 2.\nAnswer: -10, -3, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/1447 - 1651\/295188. Let d = g - -157\/816. Let q = -25\/48 + d. Which is the second smallest value? (a) q (b) 0.1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**2*h - 8*d**2*w + 69*d*r - 9*h*r*w - 2*h - 2*r*w wrt w?\nAnswer: -8*d**2 - 9*h*r - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/11, 0.7, -28486\/409?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.327\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 2*k + 0*k)*((2 - 3 - 2)*(3 - 6 + 1) + 4 - 5 - 28).\nAnswer: 46*k - 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/105)\/((-108)\/(-378)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 592884202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -571, -853, -1135, -1417, -1699?\nAnswer: -1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(256) - (sqrt(256) + (sqrt(256) - 2*sqrt(256)) + sqrt(256)) - sqrt(256))\/(-2*sqrt(72))))**2 + 0.\nAnswer: 16*sqrt(2)\/3 + 152\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 81702*d + 1428. Let g(o) = -459*o - 8. What is -357*g(h) - 2*w(h)?\nAnswer: 459*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + a + 39, 4*v + 0*v + 4*a = 52. Let h = 160 - 110. What is the remainder when h is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-26)\/((u\/((u\/(u**31\/u)*u)\/u*u*u)*u*u*u)\/u)*(u\/(u*u*(u*(u\/u**(1\/3))\/u)\/u*u))**(-35) assuming u is positive.\nAnswer: u**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let v(u) = -u + 7. Let h be v(5). Suppose -9 = t - 13. Let j(n) = -t + 0*n**2 + h*n**2 + 4. Determine j(a(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5. Determine p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/4)\/((-140)\/(-14))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33007500 a multiple of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 12:38 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x + 12698787773 - 12698787773.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27627 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 12573.\nAnswer: 113157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 129*q + 1209. Determine f(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.03 (b) -2\/3 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, m: 2, v: 2, y: 2, w: 1, d: 8}. Give prob of picking 2 v and 2 d.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqqqmmmqmsqmqqmdmt. Give prob of sequence qs.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooocoocccoc. Give prob of sequence ccc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 2, -5 in descending order.\nAnswer: 2, -5, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 + (-586 - -568)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 5:11 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019453 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(76) - (sqrt(76) - -2*sqrt(76))*-6) + 2*sqrt(76)*-6)\/(((sqrt(100) - sqrt(100)*-1 - sqrt(100)) + sqrt(100))*2))*-2.\nAnswer: -7*sqrt(19)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**3 - t**2 - 6*t - 12. Let v be i(16). Round v to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2043133 - 3?\nAnswer: 2043130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32103473*b**2 - 64206620*b**2 + 32103655*b**2.\nAnswer: 508*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 7110 - 700*w - 2346 - 2998 - 5*w**2 - 3146 = 0.\nAnswer: -138, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1703898972.\nAnswer: 2, 3, 23, 2057849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a factor of 702535126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -80040*(-1)\/(-3)*(-225)\/45. Round t to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 5*a - 1. Suppose 2 = -2*p, 5*w + 3 = -p + 2. Let x be v(w). What is the closest to x in 3, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 40*k**2 - 19 - 12 + 43 to the form h*k + s*k**2 + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 + d. Let k be (-4)\/(-6)*(-72)\/16. Let o(v) = -4*v**2. Let n(g) = k*i(g) - 8*o(g). Give n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*f + 34*n + 422 = 317*f, 5*f - 13*n = 149 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-186)\/31 - 76\/(-13). Which is the biggest value? (a) 0.002 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 265*t + 12154.\nAnswer: (t - 206)*(t - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + 14. Let b = 3377 + -3277. What is the greatest common factor of b and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14661)\/(-21) + (-4)\/28. Is g*4\/8 + 1 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184528 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in -0.4, -0.1, -1\/3, -2\/33, -4?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + 5*y - 3*y)*(-3 + 6 - 1) - y - y - y)*(-6*y + 2*y + 3*y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 24*u + 126, 0 = 5*p - 3*u - 41. Find q such that 0*q**p + 0 - 3*q**3 + 4*q**2 + 1\/2*q**5 - 3\/2*q = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45058415.0000068 - 45058425. Let k = -10 - o. What is k rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2. Let s(f) = -3497*f**2. Determine x(s(t)).\nAnswer: -24458018*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -22*g**2 + 25. Let z be j(5). What are the prime factors of (4\/5)\/((-5)\/(z\/14))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x - 94. Determine o(-5).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*q + q + k, -2*q - 2*k = -84. Let n = 132 - q. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4962269 to two dps.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.3. Let w(k) = -k**2 - 3*k - 1. Let x be w(-3). Let n be x\/2 + (-35)\/(-90). Which is the third smallest value? (a) r (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716054410 to the power of 1\/2, to the nearest integer?\nAnswer: 52116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*f + 40. What are the prime factors of f\/(-10)*90\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -1 + (sqrt(228)*2 + sqrt(228))\/sqrt(12))**2 - -6*(2 + sqrt(475)).\nAnswer: 4*sqrt(19) + 3224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/22 and -115\/3917648.\nAnswer: 43094128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-23016)\/960 + 3078\/(-1520).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6 + 7)\/((-1)\/(-13017))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + sqrt(1377) + 0 + -3 + -1 + sqrt(1377))**2 - (sqrt(1377)*-3*1 - sqrt(1377))**2*5).\nAnswer: -104647 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -1.201 (c) 8 (d) 0.5 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-4))\/(2\/4). Let t(o) = o + 6. Let f be t(q). Suppose -l - h = 2*h + f, -h - 11 = -5*l. Sort -2, -4, l in ascending order.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77432, 154916, 232400, 309884?\nAnswer: 387368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 7*j)*(3*j**3 - 2*j**3 - 3*j**3)*(1 - 9 + 0) + j**4 + 3*j**4 - 3*j**4.\nAnswer: 113*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-6)*(1 - -2). Let h be 2\/n + 376\/890. Let v = h - -83\/267. Which is the third biggest value? (a) v (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -3. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (-2)\/((-8)\/(-90)) and 19\/(-6)*6\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -85*y + 2. Let m(h) = 1. Let x(f) = 36893*f - 870. Let u(q) = m(q) + x(q). Let c(i) = 2607*g(i) + 6*u(i). Let r(k) = -k. Determine r(c(w)).\nAnswer: 237*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07043 + 2.\nAnswer: 2.07043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 330, 323, 312, 297, 278?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1452 + 1459. Let i be (1*(-16)\/60)\/(-2). What is the closest to m in i, -0.1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397*g + 406*g = 999. What are the prime factors of (g\/2 + 3)\/(6\/132)?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/3, -17, -4.3, -19, -2\/3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2 - 30\/(-12))\/((-1620)\/40 + -3))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -1668132?\nAnswer: 1668127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*u - 28 = 10*u, 2*u + 12 = 0. Put 4, 3, 2, l, 188 in decreasing order.\nAnswer: 188, 4, 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444521 times -3.1?\nAnswer: -1378015.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 757 + -754. Put -2, -0.6, z, 0 in decreasing order.\nAnswer: z, 0, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3681516 and -12.6?\nAnswer: -46387101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**9\/2520 - k**8\/700 + k**7\/700 - 5*k**3\/6 + 17*k**2. Let r(z) be the first derivative of s(z). Let r(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887717377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 196, 402, 618, 844, 1080, 1326, 1582?\n\"Answer: 5*j**2 + 191*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:13 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 224 = 3*p - 2*p, 4*a = -p - 448. Let x = -106 - a. Let z be 10\/2 + (-1 - -2). Solve 0 = -z*i + 3*i - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104926 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/7 - (-2)\/(-7). Determine z so that 0 + 4*z + 3*z**u - 5*z**2 - 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567709832 a multiple of 5772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**4\/12 - l**3\/2 + 2*l**2 - l. Let d(t) = -6*t**2 - 15*t - 11*t**2 + 16*t + 18*t**2 - 1. What is a(p) + 3*d(p)?\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 + j + 3. Let p be s(-3). Suppose -z + 800 = -p*z. Is 20 a factor of 16\/(-12) - z\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -2, -4, -12, -0.04, -4\/367, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-5) + (10 - 4)*(-112)\/84. Let u = -2 - -4. Let g = -2 + u. Which is the second biggest value? (a) -4 (b) h (c) g (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - -38. What is the remainder when a is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2185, 1, -5 in ascending order.\nAnswer: -5, 1, 2185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -12665.759284 to the nearest 100.\nAnswer: -12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d21 (base 14) in base 15?\nAnswer: c22d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2959, 5368, 7751, 10108, 12439, 14744?\nAnswer: 17023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(9\/20)*3. Let t be (15\/9)\/((-5)\/(-15)). Suppose -m = -t*c, 2*k + 5*c = c + 22. Solve k*f - 7 = 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v + 4. Suppose 3*q - 3*m = 108, 3*q - m - 100 = -0*q. Suppose 3*r - 11*r = q. Let k(c) = 9*c + 3. Determine r*k(b) + 3*j(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 107369 = 144*q - 103370 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 34 = -3*v. Suppose p - 8 - 10 = 5*b, 0 = 4*p - b + v. Which is greater: -8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - 2*v. Suppose -2*g = -w, -3*g - 2*w + 5 = -w. Let u(p) = -p + 2. Let c be u(g). What is the remainder when 8 is divided by i(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 46232*x\/5 - 1984278\/5.\nAnswer: -2*(x - 23073)*(x - 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -66*r - 16. Let o be k(-5). Is (o\/(-6))\/((-2)\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 8 - 14. Solve -s = b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(10\/(-9))*(456\/450)\/(-38)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - c = 3*c + 24, -2*c = 5*k - 2. Suppose -4*a = 3 - 15. Find the third derivative of 0*z**4 - a*z**k + 5*z**2 - 2*z**4 + z**4 wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 2)*(-77*s - 31*s + 31*s) as z + a*s and give a.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -3) + -4 + 20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 187*h**3 + 6383*h**2 + 44761*h. Let r(f) = -15*f**3 - 532*f**2 - 3730*f. Let l(c) = -2*j(c) - 25*r(c). Find the second derivative of l(p) wrt p.\nAnswer: 6*p + 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186103601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233221 + -113412. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(156\/36)\/13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12183 and 2282675.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 17 = -58*x + 57*x, 0 = -5*l - 3*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -117\/4. Let l = 0.45 - 0.05. Let r = 20.3 + -20. What is the biggest value in l, t, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 36 = -4*y + 24, 2*s - 21 = 5*y. Let l be (-4)\/18*(-9)\/(-6). What is the closest to y in l, -0.5, -3\/5, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**3 + 2*w - 3. Let j be d(1). Suppose -j*a + 35 + 61 = 0. Calculate the remainder when 157 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 5 - 31 + 26.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 17 = 5*y, 0 = -0*h - 2*h + y - 7. Let g be (-2 - 28\/(-15))*h. Let j = 0.682 - 0.882. What is the third biggest value in j, g, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 greater than or equal to -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 46*o + 57. Let c(w) = -w**2 + 11*w + 14. Let n(u) = 9*c(u) - 2*x(u). Calculate n(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 + -0.19. Let u = -21.54 - m. Which is the third smallest value? (a) 1\/3 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2467*a**4 + 5*a**2 + 5341.\nAnswer: -9868*a**3 + 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-19)\/i)\/((i\/i**(17\/2))\/i)*(i**(-37)*i)\/i**(1\/33))**(9\/2) assuming i is positive.\nAnswer: i**(-9411\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -71. Suppose 2*q = -2*q + u. Solve -x - 3*x = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926539460 rounded to the nearest one million?\nAnswer: -927000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12663 and -462.7.\nAnswer: 5859170.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-172)\/(-129)*30\/8. Suppose 0 = q - o*d - 71 - 57, 2*q - 262 = 7*d. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 30, -2, -5.\nAnswer: -5, -2, 0, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 7*m - 4*z + 54, -5*z = 0. Let r be -3 - (m\/(-21))\/((-5)\/35). Solve r*u = 7*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 4*6*(5*(sqrt(1331) + -2) - -5*-2*sqrt(1331))) + 0)**2.\nAnswer: 641520*sqrt(11) + 19225449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(54)\/sqrt(2)*-3)\/(sqrt(36)\/sqrt(4)*4))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymupg. Give prob of sequence mpu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3.58, 7, -2\/3 in decreasing order.\nAnswer: 7, 2, -2\/3, -3.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 0.51. Let x = 70794.27 - 70794.8300013. Let y = g + x. What is y rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 90*y**2 + 5*y + 5. What is i(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22740 - 6487. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/4 + -27 + 0. Let p be (m\/(-5) - 9 - 0) + 81. What is the highest common divisor of p and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let v be l(7). Let b = v - 5. Suppose -2*r - 5*m = 0, -r - r - 2*m = -12. Solve 0 = z - t - b, 5*t = -3*z + r + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -961*t + 951*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9997964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -54, -90, -122, -144, -150, -134?\n\"Answer: m**3 - 7*m**2 - 20*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 2*-2*sqrt(1539))**2*4.\nAnswer: 2304*sqrt(19) + 394048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2529 + 2540. Solve -9*f - 16 = q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235.62 + -240. What is l rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11991785?\nAnswer: 5, 13, 184489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 0*s**2 - 5 + 7*s**2 + 0*s**3 - 7*s - s**3 + 2*s. Suppose 4 = 3*h - 5*h. Let d = h + 8. What is p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u = -81*u - 32*u - 1365 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 453 and -351281.385.\nAnswer: -350828.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 18*k + 15.\nAnswer: 3*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 - 6 = -10*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 = 2. Let k be (26 - (0 - -3)) + 2. Let p be (k\/(-10))\/((-1)\/z). Solve 5*g - m - m - 9 = 0, -3*g = -m - p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((27 - 18 - (2 - -5)) + 4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -904, -902, -900, -898, -896, -894?\n\"Answer: 2*b - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111.8 - -102. Let d = 19.7 + l. Let f = -9 + d. What is the third biggest value in f, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.82 times 5?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*c + 10, 3*c = -2*b - 2*b + 2. Suppose -3*x + 4*s - 6 = -0*x, 5*x + b*s - 16 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 115. What is the second smallest value in -8, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 - 182*o - 82. Give w(-36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(539) + sqrt(11) + sqrt(11) + -5 + -4)**2 + ((-2 + sqrt(176))*3 + 4)**2.\nAnswer: -282*sqrt(11) + 2648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-2\/11)))**46 assuming f is positive.\nAnswer: f**(598\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 35*t**2 - 1417*t + 37. What is b(24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 195?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*sqrt(132))\/sqrt(4))\/(sqrt(44)*-1*-6).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 2624860\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y - 4*y - 8*y - 67*y**2 - 73*y**2 + 157*y**2 + 20*y.\nAnswer: 17*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 35310 (base 6) to base 16\nAnswer: 13da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 + 769697.8214.\nAnswer: 769697.7814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/56 - ((-307131)\/(-95634) + (-12)\/414)\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/13))\/h*h)**41)**18 assuming h is positive.\nAnswer: h**(8118\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 43 - 82 + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -216313, -432625, -648935, -865243?\n\"Answer: w**2 - 216315*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/65*2\/(-3))\/(((-5278)\/145)\/(-26)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) 0.3 (c) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/47820 and -131\/28692?\nAnswer: 143460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1989?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 21 - 1 = 0, 57 = u - 2*h. Let x = 72 - u. Sort x, 1, 0 in descending order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, and 2 n when four letters picked without replacement from dhnhunfndddd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 6*s**3 + 6*s**3 - 3*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10127, -20281, -30423, -40547, -50647?\n\"Answer: d**3 - 10161*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 p when three letters picked without replacement from {t: 1, p: 2, q: 3, l: 7, w: 4}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 108*r + 88. Let k(v) = v**2 + 43*v - 35. Let n(y) = -12*k(y) - 5*q(y). Let i be n(11). Solve -3 = -3*a + 2*j, i*j - 2 = 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*f + 81 + 85*f + 11*f + 30*f - 20*f)*(-5*f + 4*f + 3*f).\nAnswer: 164*f**2 + 162*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 + 2 = 4*c, -5*a = -4*c + 9. Let q = 3 + a. Suppose 0 = 5*o - q*i - 51, 0 = 4*o - 5*i - 12 - 39. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.249 times 0.18?\nAnswer: 0.04482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9234850.\nAnswer: 2, 5, 191, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -549128*q**3 - 3320*q**2 + 1660*q - 3320. Let y(l) = 993*l**3 + 6*l**2 - 3*l + 6. What is 3*s(j) + 1660*y(j)?\nAnswer: 996*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-7))\/((-745)\/894 + 4461823\/5354202) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/23588 and 26\/7.\nAnswer: 165116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-100))\/(2\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 + 60*k - 60*k)*(-3*k + 2*k + 0*k).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(1\/15)))\/r)**(-1\/62) assuming r is positive.\nAnswer: r**(7\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 822 and 354?\nAnswer: 48498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - s**2 + s - 4. Let z be h(0). Let q(v) = v + 2. Let y be q(-3). Let r be y\/1*z\/10. Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 511*g**2 + 2*g - 224*g**2 + 0*g - 3*g as l + o*g**2 + n*g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*q + 2 - 3*q + (42*q - 466*q - 46*q)*(-2 + 3 + 4) to the form s + g*q and give g.\nAnswer: -2346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in 1, 1\/8, -2.27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60207.92 decades to centuries.\nAnswer: 6020.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*t + 1227, 12*t - 5*d = 13*t - 433. What is the greatest common factor of 236 and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2882967148 to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Let w = -28 - -27.1. Let i = w + -4.1. Sort -4, t, i in ascending order.\nAnswer: i, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9156*r**2 + 70*r. Let i(a) = -763*a**2 + 6*a. What is 35*i(t) - 3*q(t)?\nAnswer: 763*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 l, and 1 h when four letters picked without replacement from ulhullnlrrhllbr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 60240912*m - 120481808.\nAnswer: -4*(m - 15060226)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259067?\nAnswer: 31, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 250553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 168 - 174 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-44))\/((10\/8)\/5). Put -3, z, -2\/3, 1\/6 in decreasing order.\nAnswer: 1\/6, z, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*o + 139061, 4*o = 16*g + 80675 + 104809. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*o - 27*o - 27*o - 18426*o**2.\nAnswer: -18426*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(216) + sqrt(216)*-1))\/sqrt(8))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 1 b when three letters picked without replacement from nppsb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 687 from 0.176088.\nAnswer: -686.823912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 4, i: 3, e: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u + 112 = 37*u. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 44116362.\nAnswer: 485279982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 178 = -1. Suppose -2*w + q = -f - 10, 5 = 5*f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 24 = -2*z, 53 = 4*z + i - 2. What is the lowest common multiple of z and (-262)\/(-12) + (-1)\/(-6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = -5*s + 5, -5*z = -3*s + 27. Let d = -12 - -17. Solve s*p = d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2 + 4 - 3 + j + 0. Let i be n(6). Suppose -172 = -i*w + w. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27407\/29 - -14) + 6\/(-87). Which is smaller: 955 or o?\nAnswer: 955","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -76659605\nAnswer: 843255655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*s - 272 = -5*t, -t + s + 68 = 0. Let q be 44\/(-242) + t\/11 + -1. Solve -4*x + 2*a - 3 = -11, -q*a - 2 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1088) + -5 + (-5 + -2 + sqrt(1088) + sqrt(1088) + sqrt(1088))**2 + -5)*4.\nAnswer: -1216*sqrt(17) + 39324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/6 - 16\/24)*245. Suppose 5*t + 5*h + 136 = 536, -4*h = 3*t - i. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:45 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) 1 (b) 1\/4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*x**2 - 898*x - 1836 = 0. Calculate x.\nAnswer: -2, 459\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 5*s)*(2*s**2 + s**2 - s**2) - 40*s**3 - 15*s**2 + 15*s**2 + s**3 + 3*s**3 - 2*s**3.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, -4, -2, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56191939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/3*(11 - 0). Let n be (-171)\/(-33) - 8\/x. Find the second derivative of -2*g**n + 41*g - 39*g + 3*g**5 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.93 + -1. Let x = -0.38 - a. Let o = x - -0.11. What is the smallest value in -4, o, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -712 - 22*i**5 - i + 1429 - 710 + 2*i**4 - i**5 + i**5 + 3*i**5 - 2*i**3 + 2*i**3 - 2*i**5 - i**5 + 3*i**2 - 3*i**2 + (-2 - i**2 + 2)*(-3 + 3 - 2*i**3).\nAnswer: -20*i**5 + 2*i**4 - i + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 + 15*y + 3. What is p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, 1 t, and 1 u when four letters picked without replacement from otouionvntn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -15, 3, 0.4, 4, 3\/5, -0.376?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 134779841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546750 by -2025.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 3*n**2\/2 - 30. Let x(h) = -4*h**2. What is r(x(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9045 to the nearest 100.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -1, -2\/11, -2\/7, 10.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -16.5. What is the second smallest value in 4, 5\/4, y?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, l: 6, h: 1}. What is prob of picking 1 x and 1 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007197999 rounded to 6 dps?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382672.3 kilometers to micrometers.\nAnswer: 382672300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*u**3 + 2*u - 18*u**3 + 21*u**3 + (-2*u + 5*u - u)*(2 + 3 - 2)*(-1 - 4 + 7)*(1 - 1 - 2*u**2) to the form y*u**2 + c*u**3 + d*u + m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 7 = 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2545158 by 231378.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**4 + 2*u**4 - u**3 - 2*u**2 + 0*u**3 - 2 - u - 2*u to a*u**2 + y*u**3 + i + j*u**4 + l*u and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89360784.\nAnswer: 2, 3, 620561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 18 - 43 = 0. Suppose 4*x = -5*r - 16, -h*x + 4*r = 9*r + 15. Solve 3*g - x = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 2115?\nAnswer: -211a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/2 + 2*(1 + -3). Suppose k*g - 4149 = -894. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (6 + -1 + 1). Let w = v - -31. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -98. Calculate the greatest common divisor of b and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 14) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + s + 2 = -2, -5*s + 36 = 4*p. Suppose f - 113 = 3*u, -2*u = -f + p*f - 306. Calculate the lowest common multiple of f and 18.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.14576 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 99, 160, 229, 306, 391?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/(sqrt(768) - sqrt(12)) + sqrt(396) + 2 + sqrt(396) + 0)**2.\nAnswer: 344*sqrt(11)\/7 + 81552\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-1976)\/238) - (-68)\/136. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7073 - 7078. Which is the fourth biggest value? (a) -0.1 (b) 0.6 (c) 4 (d) v (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 1. Let v be o(-2). Let u be (-1)\/v - 1443\/(-7). Suppose -3*a = -b + 34, 5*b - 6*a + 3*a - u = 0. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 2. Let m = 1559 + -1555. What is the least common multiple of u(-4) and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4354081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 3, t: 3, p: 2, v: 3, n: 1}. What is prob of picking 2 v and 1 t?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-39))\/((-56)\/91)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose -3 = -u - 2*b, 0*u = u - c*b - 23. Let f(j) = 2*j - 16. Does 3 divide f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 74. Let g be (4 + (-18)\/6)*(r - 0). Are 28 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 5*y**2 + 2*y - 7. Let a be x(5). Suppose 577 = j - a*b + 161, j - 418 = 2*b. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.235 and 0.09.\nAnswer: -0.20115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 1 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*g - 44, 2*y + 24 = -4*g + 4*y. Let l be (-2)\/g - 49\/(-28). What is the third derivative of -13*r**4 + 18*r**2 + 18*r**2 - 33*r**l wrt r?\nAnswer: -312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*h*o - 9400156*h + 7*o**4 - 1339*o**3 wrt o?\nAnswer: -13*h + 28*o**3 - 4017*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -33\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 23. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118679?\nAnswer: 11, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 40*c**2 - 48*c + 1915. Calculate k(40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272 divided by -212?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.3 + 26. Let z = 0.037 - -3.963. What is the closest to w in 1\/4, z, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose 3*j + j + l = 114, s = -5*j + 2*l + 149. Suppose 2*n - j = 19. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnn when three letters picked without replacement from bnnccibycgnnygbnnb?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 580\/3333 + -39\/101. What is the common denominator of 133\/6 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 12:47 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-58)\/10 - 49314\/8219?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2490 - 2489. Let j = -5\/14 + 1\/2. What is the closest to j in -4\/7, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - 56)*880\/(-1155)?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-6) - 1\/(-2). Suppose 0 = i*o + f - 92, 9*f + 140 = 5*o + 4*f. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -12*q. Let d(z) be the first derivative of q*z + 1\/10*z**4 + 0*z**2 - 1\/25*z**5 + 1 - 1\/15*z**3. Determine h so that d(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)*-1)\/sqrt(12) - sqrt(5)) + 0 + sqrt(20) + sqrt(5))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 1, j: 2, d: 1, a: 5}. What is prob of picking 3 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + 3*a**2 + 3*a - 3. Let l(d) be the third derivative of -d**6\/15 - 11*d**5\/60 - 11*d**4\/24 + 11*d**3\/6 - 40*d**2. Calculate -6*l(n) - 22*o(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 1506*h - 4519\/3.\nAnswer: (h - 1)*(h + 4519)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -5, 0, 33 in ascending order.\nAnswer: -32, -5, 0, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2268 + 2316 = 210*j + 1224 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*p - 22, 42*r - 2*p = 38*r - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*u + 3. Suppose -m - 2*m = -u. Suppose m*h - 6*h = -60. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4\/5, -6, 2\/9.\nAnswer: -6, -0.1, 2\/9, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-108)\/(-8))\/(6\/8). Solve 4*b - y - 3 = u, -4*u + 11 = 3*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5)*10\/6. Let q = 30\/343 + -463\/1372. Which is the smallest value? (a) q (b) j (c) 2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 2787*y + 136816. Determine x(52).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*a**4 + 8*a + 989 with respect to a.\nAnswer: -156*a**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 divided by 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27142.391 rounded to the nearest 10?\nAnswer: 27140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 5*m**2 + m - 1. Let v be o(5). Let t(i) = -13 - 17 + 22 + 3*i**2 - 4*i. What are the prime factors of t(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32035 + 3*j**3 - 2*j**3 + 64632 - 32597.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1209, 2 in increasing order.\nAnswer: 2, 22, 1209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccl when three letters picked without replacement from clcccccc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 0*g**3 - 4*g - g**3 - 9*g**2 - 4*g - 5. Suppose 4*i - 3*h + 2 = -19, 3*i + 47 = -4*h. Is p(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/39 - ((-5918)\/234 - (-184)\/414). Which is greater: m or -485?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562 (base 10) to base 3.\nAnswer: 202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -0.1, -2\/5, 1, -35\/62?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 43904, -1, 22, 0 in decreasing order.\nAnswer: 43904, 22, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 734, -0.1, -0.01, 0.2, -1.\nAnswer: -1, -0.1, -0.01, 0.2, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5462061 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - 27. Let q = -107 + 229. Suppose q = 3*z - 67. Calculate the greatest common divisor of z and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*66\/(-385))\/((-15)\/70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = a + 3*a, -2*a + 2*l = -8. Let m = -8 - 1. Let t = m + 5. Sort a, 3, t.\nAnswer: t, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 3 (c) 2\/7 (d) -5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 8*l - 90. Suppose l*j + j = 1206. Suppose -f = 4*r - j, 4*r - 2*f - 148 = r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(9\/99*11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9745 * -31.7\nAnswer: -308916.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 17. Let z be v(7). Which is the closest to 2? (a) z (b) 2\/15 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-126)\/(-189)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -364 less than or equal to -364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n + 112. Let s be y(-7). Solve p = -2*z - 0*p - 1, s = -5*z + 3*p - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f + 25*f - 42*f - 1408 = 0. What is the least common multiple of f and 80?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 16*l**2 + 17*l + 5. Let k be u(-17). Let m be (6 - k)\/(1 - (-4)\/(-2)). Let y = m - -14. What is the remainder when 49 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwh when three letters picked without replacement from wlwwhlllhwlwwwwwlw.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2*(5 - (-55)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from wkwywywwywykddk?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107304562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 224076930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44342 - -44341.9942607. What is f rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3233 + 4722 + 5086 - 18394)*(0*u**4 - 2*u**5 + 0*u**4).\nAnswer: 10706*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*((3*t + 3*t - 5*t)*(8 - 1 + 1) + 2 - 2 - 2*t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -8)*6\/5*3. What is the third derivative of 0 - 7*l**3 + 24*l**2 - z*l**5 + 5*l**3 + 5 - 4 wrt l?\nAnswer: -1080*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5000, 3321, 506, -3445, -8532?\n\"Answer: -568*u**2 + 25*u + 5543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20787 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 566.3 or -1.49?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 49. Let t be (-9 - -8)*(-2)\/(-2). Let o be (-6 + 21)\/(0 - t). Calculate the highest common divisor of n and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = -2*u - 40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*s - 37, s + 4*s + 3 = i. Suppose f - i - 82 = 0. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599*w - 1087*w - 4275*w.\nAnswer: -4763*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925542*p**2 - 10715*p + 10715*p.\nAnswer: -925542*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 20*b**2 + 2*b + 1. Suppose 4*z = -3*t + 413, -4*t + 113 - 39 = z. What is the remainder when z is divided by r(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-7)\/((-21)\/(-18)). Let j = g + 10. Suppose q = -5*t + 1 - 2, -2*q + 19 = 3*t. What is the greatest common factor of q and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2697, -2526, -2241, -1842?\n\"Answer: 57*q**2 - 2754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1204, -1, -5.\nAnswer: -1204, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 525, 2255, 5151, 9225, 14489?\n\"Answer: 2*m**3 + 571*m**2 + 3*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 492 - -8686?\nAnswer: 9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 1:48 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g - 3*g - 4*g + 0*g. Let b(l) = l - 2. Let i be 2\/(0 + -2)*(-5 - -6). Let o(u) = -36*u + 24. Let h(z) = i*o(z) - 12*b(z). Give h(v(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.07, 0.5, 0.2, -1, -12122\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 396205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 20\/11 - (-490)\/(-154). Let p be (-24)\/(-6)*(u + -2)*-2. Solve 5 = -p*f + 39*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/456 and 133\/24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 7) in base 11?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g)\/g*g**11*g*(g*g*g**(-1\/9))\/(g**(-10\/13)*g*g))**44 assuming g is positive.\nAnswer: g**(44572\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - (-1 + (7 - 3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-696959880)\/(-96) - 10\/(-8). What is a rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-60)\/164) - (4 + (-52)\/12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + j = -21, -12 = 7*n - 3*n + 2*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 4 (c) 11.9 (d) -1\/4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17646405 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 12 + (-3 + 5 - -5) + 29 + -43?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2868, -2774, -2614, -2382, -2072, -1678, -1194, -614?\n\"Answer: y**3 + 27*y**2 + 6*y - 2902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.1 - -4.1. Put f, 1\/2, -5, 3 in decreasing order.\nAnswer: 3, 1\/2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = -23*t. Let s be ((-7)\/28)\/(-2 - -4 - 3). Factor -1\/4*o**2 + t + 0*o + s*o**3.\nAnswer: o**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5590222206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3657472 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4942811 litres to millilitres.\nAnswer: 494.2811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - v + 0*v)*(6*v - 3*v - 2*v) + 6 - 6 - 2*v**2 as d*v**2 + x*v + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -903*s + 115*s - 18912 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 9:20 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84704763 by -3.\nAnswer: -28234921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 23*j - 1891. Calculate t(82).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l + 5*l + 2*l)*(2 - 2 - 2*l) - 38*l**2 + 107*l**2 + l**2 to the form a + c*l**2 + q*l and give c.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 12022\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, v: 2, y: 2}. What is prob of picking 1 y, 1 v, and 1 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27267920 divided by -5453584\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.065 + -1.325. Let c = 1.390016 + m. Round c to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 2*m + 2*q, 429 = 4*m - 2*q + 103. Let h = -80 + m. What is the third derivative of 4*c**3 - c**2 + 20*c**h - 4*c**3 + 26*c**4 wrt c?\nAnswer: 624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 2*i - 11*i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 53 (b) -0.2 (c) 2\/7 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34279, -274233, -925537, -2193865, -4284891, -7404289, -11757733?\nAnswer: -17550897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:18 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 957 - 108. Which is greater: q or -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9571 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k*m**2 - 88136*k - 106*m**2 - 84*m wrt m.\nAnswer: -6*k*m - 212*m - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(3\/((-6)\/(-2))). Let b = c - 4. Solve -b*v + v + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*p - 66*p - 848 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574 + 98 + 80 + 2*u.\nAnswer: 2*u + 752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -719, -1449, -2477, -3803?\nAnswer: -5427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -74. What is the greatest common divisor of s and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4978*o = -5143*o - 1650 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -203?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:47 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2846 (base 15) to base 2.\nAnswer: 10000110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + -4*sqrt(1088))**2 + sqrt(1088).\nAnswer: -312*sqrt(17) + 17429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + r + 3, -11*r = -5*o - 14*r + 25. What is the third derivative of 33*j**4 - j**2 - 38*j**2 - j**6 - j**6 - 3*j**o wrt j?\nAnswer: -240*j**3 + 792*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 4*g - 30, 35 = -9*g - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2*a**3 - 5)*((3*a + 0*a - 2*a)*(2 - 5 + 1) + 7*a + 7*a - 7*a) to the form t*a**2 + s*a**4 + c + d*a**3 + u*a and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.1 and -0.3.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 813974791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1014\/4*40\/30. Let l = -9461\/28 + w. Let h = -474 - -474. Does l = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 10295.33\nAnswer: 41181.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -62861?\nAnswer: -6285d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 3*u - 3. Let x be (-21)\/(-2)*(-6)\/(-9). What is the units digit of a(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 5, -0.1, -6, -4, 1 in increasing order.\nAnswer: -6, -4, -0.1, -1\/16, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 17 - 26)*(3*t - 96*t**2 + 50*t**2 + 1 + 44*t**2).\nAnswer: 58*t**2 - 87*t - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1023 and -2\/651.\nAnswer: 7161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/176 and -81\/1342.\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 668 - 138. What are the prime factors of k?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/17 (b) 0.2 (c) -0.4 (d) 0.1 (e) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -9)*((-48)\/180*45\/(-246))\/(-3).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -495*p + 754*p + 11*p**2 - 263*p + 9*p**3 to the form s*p**2 + a + q*p + t*p**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-375)\/(-10) - 2*(-4)\/(-16). Suppose f + f - 78 = 0. Is f at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 12709900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/12)\/((-10)\/(-40)))\/((-28)\/(-1092)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:20 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117857 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1707 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -1847*q**4\/12 + 2*q - 282. Let z(u) = 3*u. Determine v(z(h)).\nAnswer: -16623*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (84\/98)\/((-7)\/(441\/(-18)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 344*a. Let d(u) = -9*u. What is r(d(n))?\nAnswer: -243*n**2 + 3096*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -349, -557, -765, -973, -1181?\n\"Answer: -208*x - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10472061 by -69.\nAnswer: -151769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 + 499. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 14. Let o be g(-9). Let x = -29 + o. Suppose 10 = -x*k - 5*c, -12 = k + 4*c - 4. Solve k = -5*z + 25, -h - 2 = -z + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/63, 0, 41, 2\/5, -4, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -p + k, 23*k + 100 = 2*p + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1963*b - 34. Does 5 divide x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(118\/(-28) + (-6)\/21) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*i**2 - 16*i**2 + 6372*i + 8*i**3 - 12746*i + 6373*i to the form q + g*i + t*i**2 + y*i**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49289*h**2 - 41*h - 959 wrt h.\nAnswer: -98578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-16))\/((-2)\/(-8)). Let r be (0 - (-1)\/2)*2. Let p(a) = 3 + r - a - 1 - 2. Determine p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2000608 and 2598562.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 + 15*h - 3. Let c(x) = 5*x**2 + 15*x - 1. Let l(p) = -4*c(p) + 3*w(p). Suppose 14 = -2*i - 4*r, 3*i + r + 31 = 5*r. Is l(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((5 - 5) + -2). Suppose s = -9*a + 12*a - 369. What are the prime factors of a?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4792580269 rounded to 2 decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59081940 and 207000?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 8411 (c) -0.0694\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.6. Let u = -0.2 - -2.2. Let n = u + 2. Which is the closest to 0? (a) v (b) -1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57871, -115657, -173443, -231229, -289015, -346801?\n\"Answer: -57786*o - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62234035 is divided by 146433?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.55592 and -1.6?\nAnswer: 2.15592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9 - 1 - q + 6 - 2. Let z be h(6). Solve -3*w + z = -0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 8*v - 9. Let d be z(-6). Suppose -5 = -8*n + d*n. Put n, 4, -5 in increasing order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 263 = 15*j - 79 - 19, 3*h - 3*j = -69 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77.3 + 77. Put i, -15, 8 in descending order.\nAnswer: 8, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 30*f + 92. Calculate b(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 41*h**2 + 48*h + 63. Let u be d(42). Let y be ((u\/(-28))\/(-9))\/(1\/4). Solve s + 4*c - 11 = 5, -2*s - y*c = -20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.03 (b) 5\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 >= 19051568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -13*n - 520. Determine k(-15).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -475, -471, -467, -463, -459?\n\"Answer: 4*o - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/2)\/(q*q\/((q*q*q\/((q**(-3\/4)*q)\/q))\/q)))**(2\/29)*((q**(2\/5)*q*q)\/(q**1*q))\/(q**(-7)*q**(-1)) assuming q is positive.\nAnswer: q**(2381\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = s, 5*r - 4*s - 21 = 10. Find the third derivative of -3*w**2 + 8*w**2 - 59*w - 6*w**2 + 30*w**r wrt w.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, c: 1, a: 5, d: 5}. What is prob of sequence nadn?\nAnswer: 25\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**3 - 3*x**2 - 6*x - 4. Let u(z) = 7*z**3 + 4*z**2 + 7*z + 5. Suppose 7*n - 19 = -4*p + 6*n, -4*p = -n - 21. What is p*f(m) + 4*u(m)?\nAnswer: -7*m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/43639 and -39\/5?\nAnswer: 218195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5647782 by -42.\nAnswer: 134471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -11550.29 to the nearest ten.\nAnswer: -11550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -508885542*a**2 - 631306869 wrt a?\nAnswer: -1017771084*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -406, -25, -6 in descending order.\nAnswer: -6, -25, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from hukhxhxkxhx?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/4, 0.2, -0.7, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*x**3 - 25*c*x - 82*c - 14*x**2 - 2 wrt x.\nAnswer: -3*c*x**2 - 25*c - 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 22 - 14. Let h(i) = -2*i - r*i + 0*i. What is h(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251.52135 months to decades.\nAnswer: 2.09601125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxiimwxmaemw. Give prob of sequence eixw.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsrrrov. Give prob of sequence vrsr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 729 - 675. Calculate the highest common divisor of 1566 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (9 + 0)) + -23 + 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*q = -25, 5*c - 5*q + 2*q - 9 = 0. What is the least common multiple of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1154)\/42 - (-8)\/56. Let c = b - -28. Factor -2\/3 - 4\/3*t - c*t**2.\nAnswer: -2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1314986*f**3 - 5*f**2 - 1108*f + 12?\nAnswer: -7889916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v. Let c(b) = 13 + 3 - 24 - 288*b**2 - 113*b**2 + 7. Calculate c(z(y)).\nAnswer: -6416*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 25*m = -6*m + 56, 37*m + 23 = -3*w + 35*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227a0 (base 12) to base 7.\nAnswer: -251163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13266908?\nAnswer: 2, 1031, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 3. Suppose 0*u + 2*u - 6 = 0. Let y be j(u). Find the third derivative of 4*k**6 + 3*k**2 - 4*k**2 + y*k**2 - 6*k**6 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 181 = 2*c, -c + 57 = -z + 2*z. Suppose -4*j + 163 - 43 = 0. Calculate the remainder when z is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2717, 2, 23, -0.1 in descending order.\nAnswer: 2717, 23, 2, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**2\/(d\/(d*d**(-5)\/d*d)*d\/(d*d**(-1)*d))*((d\/((d\/d**3)\/d)*d)\/(d\/(d\/(d**4*d))))**(-46) assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-30)\/(-11)))\/(7\/126*6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*l + 6*l = 932, -l - 3643 = -4*x. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 1. Suppose 5*x + 2*b - 9 = 0, x + 0*x = 3*b + 12. Let p(z) = 1. Determine x*p(l) + h(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2. Let i(y) = 1060*y**2. Give i(m(b)).\nAnswer: 1060*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 46*w + 222. Let t be u(41). Solve 0 = 4*p + t - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 26. Suppose n*b = 6*b + 9. Solve -5*d = -2*h + 10, -b*h - 12 = -2*d - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 525469434 divided by -6\nAnswer: -87578239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-5)\/(-5970))\/(-1)). Suppose 7*a = y + 2705. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17153066 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -6, 519 in ascending order.\nAnswer: -6, -5, -2, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 197202062 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49703679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55969215 rounded to two dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 1. Let m(t) = 3*t**2 + 7*t - 9. Let o(d) = 5*j(d) - m(d). Is o(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 4, f: 6}. What is prob of picking 1 f and 1 z?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119405253 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 26*f**2 + f + 18. Let t be a(-26). Let j be t\/(-36) - (2\/(-9))\/(-1). Solve -15 = -5*p, j*m + 2*m - 11 = -p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -18 - 13 - 2*p + 31. Let b(a) = -5*a**2. Calculate b(u(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1705.613105 from 2596.\nAnswer: 4301.613105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 3)*(4*j - 6*j + 0*j)*(523 - 523 - 38*j**3) as m*j**4 + v*j**2 + h*j**3 + n*j + l and give m.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4146*c + 21034. Calculate p(5).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45212 is divided by 637?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h - 4*w + 5 = 0, h - 2*w + 5 = 0. Which is the nearest to h? (a) -1 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 712, 687, 638, 559, 444?\n\"Answer: -v**3 - 6*v**2 + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51 - 3*s**2 + 40 - 61 + (-65*s + 36 - 36)*(3*s - 4*s - s).\nAnswer: 127*s**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*g - 2*h + 30, -g + 3*h = -6. Is g\/(-39) - 10847*(-6)\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68492 (base 11) to base 15.\nAnswer: 1e554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyc when three letters picked without replacement from {y: 3, c: 3, s: 13}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 817\/7 - (-2)\/7. What is the greatest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/165 + 56\/165. Let n be (-22)\/99*(-2 - 0 - 1). Factor 0 + n*q + c*q**2.\nAnswer: q*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -0.19 (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.68 - 1.283. Let o = b + -0.097. Sort -5, 0.01, -0.1, o in descending order.\nAnswer: o, 0.01, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f = 2*w - 30*f - 836, 4*f = -4*w + 1668. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydyymqymbqbmy. Give prob of picking 1 m and 1 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95636380 and 34155850?\nAnswer: 478181900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -635795*u**3 + 124284*u**2 + 3*u - 10?\nAnswer: -3814770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 3*x**2 - 2*x**2 + (3*x - 2*x - 2*x)*(0*x + 2*x - x) + 10 - 4*x**2 - 10 to the form f + i*x + k*x**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(833))**2*2 + (-4*(sqrt(833)*3 - sqrt(833)))**2.\nAnswer: 68306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from ihshshhs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 724638455 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(153)\/sqrt(9) + sqrt(204)\/sqrt(12)*6.\nAnswer: -4 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-60)\/(-32))*(-135)\/60)\/(14\/84)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (6*(-3)\/(-45))\/(4\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 4:12 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155238980 divided by 11941460.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -1a0690?\nAnswer: 1a0693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1456*f - 162*f**3 + 2220*f - 3676*f - 174*f**3.\nAnswer: -336*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + (-35 - (-72 - -40))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + k - 3*k. Let i(a) = -2*a + 2. Let d = 3 + -2. Let f be (-38)\/(-14) - 4\/(-14). What is d*i(s) + f*r(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403074 is divided by 244?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 + 59*f**2 - 4*f**3 - 4*f**4 + 5*f**4 - f**3 to the form g*f**3 + z*f**4 + w*f + h + m*f**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 3*d - 4. Let k be o(-4). Let x(y) = y + 5 + k*y + 0*y. Let f be x(-5). Solve f*t + 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c - 2 - 6*c + 5. Let s be m(-12). Let v = -11 + s. Sort v, -4, -3.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*o = 98*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/(12\/160). Solve -s = -5*a - 2*z, 5*a - 36 = z - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 + 27256*f**2 - 1647732*f = 0. What is f?\nAnswer: 0, 61, 6753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -19*v**2 + 3*v + 426. Let r(g) = 12*g. What is r(u(q))?\nAnswer: -228*q**2 + 36*q + 5112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = 0, 2*u - 25 = -s - 3*u. Sort s, 3, -1, -6.\nAnswer: -6, -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/80561295 and -1\/9695?\nAnswer: 563929065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o - 176. Let c be l(0). Let r = c + 170. Is r > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 354\/(-12))*((-28)\/(-6) - 4). Let x(o) = -3*o**3 + 2*o**2 + 2*o - 2. Let p be x(-2). Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-36)*3*-9. Suppose 13*k + 50 = p*k. Let y = -14 + 20. What is the lowest common multiple of k and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/8*(-4)\/10. Let m be 8 + 0 + 12\/(-4). Solve -m*g + 3*z = 19 - k, z - 4 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2041 - -30?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571 - 291 - 289 + 28*y.\nAnswer: 28*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*l + 10, 7*w - 10 = 2*w - 5*l. Solve z - 3 + 6 = w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 15) in base 13?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 75*t = 425 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**3 - 817344798*w**2 - 61*w + 2364754 wrt w.\nAnswer: 6*w - 1634689596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 1)*-5*5.\nAnswer: -300*sqrt(13) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 2:55 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23\/186 + 139\/372. Which is smaller: -508 or a?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15) + 18\/5. Suppose -n = -0*n - g. Suppose 3 = 5*z + 2*f, -4*f = 1 + 3. Solve 0 = 3*w - 2*i - 20 + z, n*i = -20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 32 = -6*p. What is the smallest common multiple of p and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 3, 0 in ascending order.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*k - k**2 + 28*k)*(k + 3*k - 5*k)*(1 + 1 - 1)*(20 + 43 - 10).\nAnswer: 53*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 39414512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -5, 4, 3, -1, -9 in increasing order.\nAnswer: -9, -5, -1, 3, 4, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 3 (c) -283\/6 (d) 85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 11843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.5. Let v = p + -0.2. Let i = v + 0.9. What is the smallest value in i, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 6. Let y = b + 1. Let s = 0 - y. Is s at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -2)*1 + 0. Suppose l = -0*y - 4*y + 16. Let k(p) = -p + 1. Let i be k(-4). Which is bigger: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4732\/24843 + 20095\/231. Do c and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -407765.1 and -56.\nAnswer: -407821.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/15 + 9\/5. Let r = 0.95 + 0.05. Put -0.5, r, w in decreasing order.\nAnswer: r, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - b. Let x(u) = 7*u**3 - 12*u**2 - 11*u - 13. Let w(q) = -6*i(q) - x(q). What is the units digit of w(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 12*m**2 + 14*m - 50. Suppose -6*z + 14 - 74 = 0. What is the least common multiple of l(z) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53022 (base 6) to base 10\nAnswer: -7142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 524767*n - 4722996. Calculate j(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1289451 (base 12) in base 4?\nAnswer: -31332330331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -410, -411, -402, -377, -330, -255, -146?\n\"Answer: p**3 - p**2 - 5*p - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 964205534 to the power of 1\/3, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**4)**(-49)\/(p*p**(2\/33)*p*(p\/p**(1\/19)*p)\/p) assuming p is positive.\nAnswer: p**(59560\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 49450797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 22 + -18 + 40 + 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5 - 0) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 8370*q**3 + 3502840*q**2 + 8370*q - 3502845.\nAnswer: 5*(q - 837)**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -4, 4\/9, 1982, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.7 (b) -4.01 (c) 1.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.06, 9, 0.109?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 375 = -3105. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -762, -2936, -6564, -11664, -18254?\n\"Answer: -3*j**3 - 709*j**2 - 26*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 925524617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23872 is divided by 1004.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*t - 0 - 2, -t - 11 = 5*s. Let o(k) = 4*k**3 - k**2 + k + 1. Let y(f) = f**3. Let c(z) = -2*o(z) + 6*y(z). Is c(s) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 129*i**2 + 1. Let k(v) = -250*v - 4*v**2 + 245*v - 3*v**2 - 5. Let f(t) = -6*t**2 - 4*t - 4. Let h(m) = 5*f(m) - 4*k(m). Give x(h(l)).\nAnswer: 516*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 + -18033271012807\nAnswer: -18033271012807.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 22*k**2 + 10*k - 98. Let z be y(22). Suppose -128*p + z*p + 1440 = 0. What is the smallest common multiple of p and 8?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.6. Let m(l) = -2*l + 8. Let v be m(6). Let n be (v\/(-18))\/(7\/(-7)). What is the closest to 2\/7 in n, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/6*4\/((-112)\/343) and 39\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-191)\/20 + 4 + 6. Let z(r) be the second derivative of -13\/12*r**4 + 0*r**2 + q*r**5 + 0*r**3 + 0 + 12*r. What is the third derivative of z(f) wrt f?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 - 11*r + 9. Let m(i) be the second derivative of i**3\/3 - i**2\/2 - 3*i. Let j be m(4). Is k(j) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104047536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/5)*z)**(-22)*((z\/z**(-3\/2))\/z)\/(z\/(z\/z**5)))\/((z**0)**(2\/11)\/(z**(1\/5)\/(z**5\/z))) assuming z is positive.\nAnswer: z**(-601\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 5. Suppose -3*l = -2*b + 89, b + 46 = -3*l - 58. Let t = l + 27. Let k(u) = -u**3 - 5*u**2 + 7*u + 13. Let z be k(t). What is i(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*c + 61*c + 135 = 0. Solve 4*s - 9 = c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 - 38.39733.\nAnswer: -38.50733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r - 6. Let s be o(-21). Let t = -2857 - s. Let l = 22005\/8 + t. Find the common denominator of -5\/12 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + y, -3*r - 2*y = 0. What is the biggest value in -7\/2, -3\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-14)\/14 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/5))**(-20\/7))**(-5\/4)*(w**(-1)*w**1)**(-2\/41) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11067 - 5548. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43492 (base 10) to base 9.\nAnswer: -65584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:36 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/(((-21)\/98)\/((-18)\/(-21))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 267, 267, 265, 261, 255, 247?\n\"Answer: -h**2 + 3*h + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/12952880?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 6*s + 20. Let i(w) = -2*w + 7. Calculate 11*i(p) - 4*q(p).\nAnswer: 4*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/21)\/((-67)\/(-402)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 847132638 a multiple of 659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*t**2\/3 - 35896*t\/3 + 1408.\nAnswer: -4*(t + 528)*(17*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3 + 2 + 2*s + 2 - 3. Let x be q(2). Suppose x*i = 1 + 37. Solve 4*f = 2*f - 3*h - i, 0 = 4*f + 4*h + 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z - 25. Let s(y) = -2*y + 3. Let u be s(z). Let x = 12 + u. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240893548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9542 + 9547. Let o(p) be the third derivative of -1\/30*p**t + 22*p**2 + 0*p + 0*p**3 + 0*p**4 + 0. Factor o(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.44 - -198.44. Let y = 193.99999847 - q. What is y rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 8. Let q be ((-12)\/7)\/(18\/(-63)). Suppose h + q = 2*h. Determine l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 - 47. Suppose -o = 4*m - h - 24, o - 111 = 4*m. Find the common denominator of (o\/4)\/((-11)\/2 + 1) and 71\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 5:43 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 2*y - 1. Let s(d) = -9*d**2 - 14*d - 9. Give -6*l(i) + s(i).\nAnswer: -3*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*n**4 - 8*n**3 - 1464.\nAnswer: -388*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from acp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -2, 133394, 1 in descending order.\nAnswer: 133394, 7, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*3 + sqrt(972)*-4)\/(5*2*sqrt(144)*1).\nAnswer: -3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:42 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2 + 5*l**2 + 6 - 3 - 6*l - 8 + 0. Let r(o) = 4*o**2 + 1. Let g be r(1). Let j(d) = 6*d**2 - 7*d - 4. Let b(x) = g*m(x) - 4*j(x). Calculate b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:52 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 19 = -5*f, 0 = 2*f - 5*j + 3*j + 16. Let u be 2\/f + 114\/10. Suppose u = 2*l - 1. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*(-10)\/3. Suppose r*s - 135008 = -0*a + 2*a, -2*s + 2*a = -54008. Round s to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 16. Suppose 0 = -2*t + d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 4. Let x be o(-4). What is the first derivative of 8 + 2*k**x + 5*k**4 - 7 - 3*k**4 wrt k?\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*u - 12 + 8, 4*u - 3*z = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -464*u**3 - 3*u**2 - 8. Let j(p) = -928*p**3 - 5*p**2 - p - 15. Let t(n) = -5*g(n) + 3*j(n). Is t(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 1, 2*a + 14 = -4*i. Are i and -27\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 538, 1078, 1618, 2158?\n\"Answer: 540*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 - 2418*l**4 + 1206758*l**3 + 4853578*l**2 + 6077220*l + 2432816 = 0. Calculate l.\nAnswer: -1588, -2, -1, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + -6 + 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j + 13. Let o(x) = -x - 20. Let t be o(-15). Let r(g) = 4*g + 9. Give t*k(h) + 7*r(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rirtdrwttdutwir. What is prob of sequence drr?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 818196\/7091 + 44\/1013. Let d = t - 116. What is the third biggest value in 2\/17, d, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49c7 - 14?\nAnswer: 49b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 2*l**3 + 3*l**3 + l**3 + 4*l**3 - 4*l**3 + (-l - 1 + 1)*(-2*l**2 - 1 + 1) + 0*l**3 + l**3 + 2*l**3)*(l - 6*l - 2*l).\nAnswer: -49*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920 - 1037 = -13*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 + -314. Let f = m + 137. Is -2 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(3) + 2 + 4.\nAnswer: sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 64?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - 4*q + (1 - 1 + 2)*(2*q - 2*q + q))*(-2*q**3 + 0*q + 0*q).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 2849.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 999.4.\nAnswer: -399.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3146 and 18044.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -596*g - 255*g - 483*g as c + x*g and give x.\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201202 - -100020?\nAnswer: -101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524315275.\nAnswer: 5, 11, 17, 112153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -361*t**3 - 10*t**2 + 10 wrt t?\nAnswer: -2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 4\/483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 489214 - 489310 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cucjfjclcculcfujltju. Give prob of sequence ultu.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 21*m**2 + 12*m - 9. Let p be n(10). Let b(g) = g**3 + 3*g**2. Let a be b(-2). Suppose p + a = t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 3) + -8 - (1 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76972 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142894 + -73619. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*l + n, -2*l - 3*l + 3*n + 16 = 0. Suppose -i - 1 = -2*h + 2, -4*h = -l*i - 21. Let t be 0 + 1 + h + 0. Is -2\/13 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18148, 36295, 54442?\nAnswer: 72589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(48)\/sqrt(4)) + (2*sqrt(19))**2 + -2.\nAnswer: sqrt(19) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v - 10. Let a be (0 - v) + -5 + 8. Suppose 0 = 5*q + 2*c - 7 + 234, -243 = a*q - 2*c. Is -47 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18540352 and 684?\nAnswer: 166863168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4489091 meters to micrometers.\nAnswer: 448909.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(6\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*1 + -3 + (sqrt(72) + 2)**2*-3.\nAnswer: -231 - 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -223*o**4 + 307*o**4 - 64*o**4 + 1169*o**4 + (-3*o - 2*o + 6*o)*(-o**3 + o**3 - o**3) - o**4 + 2*o**3 - 2*o**3.\nAnswer: 1187*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*p + 9, -r - 6*p - 13 = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-7 - 14)) + 1 + -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31\/36 - -5\/12. What is the nearest to 0.2 in b, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 times -0.1\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 98 = 0. Let o = t - 29. Suppose o = 4*c - 2*w, -2*c + 4*w + 7 + 3 = 0. Solve 21 = -5*r + y, y + c = 6*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 15 = 6*z. Find the common denominator of -3 + (-4)\/(96\/218) and 153\/30 - z\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 247 - 2?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -2*a**7\/7 + 2*a**6\/3 + 11*a**5\/5 - 3*a**4 - 32*a**3\/3 - 8*a**2 + 9*a. Let v(i) = 0. What is i?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 11*l**2 + 3*l - 1. Let d(m) = m**3 - 10*m**2 + 3*m. Let b(z) = -5*d(z) + 4*q(z). Determine b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 5*v + 3. Let u be i(5). Suppose 1 = -u*h + 13. Let n(w) = 6*w - 5*w + h*w. Let c(g) = g**2. Give n(c(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -87. Let i = f - 24. Suppose l - 207 = -4*q, i*l + 0*q - 408 = -5*q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-3))*(-79 + (-5170)\/(-66))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2 + 1 + 1*sqrt(1872)*1)**2 + (4 + 2 + 2*(sqrt(1872) + -2))**2.\nAnswer: 72*sqrt(13) + 9365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 389264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11669? (a) 0.3 (b) -4\/5 (c) 2\/11 (d) 0.2 (e) -0.01 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 8:30 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28265 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -668 - -681. Put b, -1, -10 in descending order.\nAnswer: b, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/40 + m**3\/6 - 4*m**2. Let t(w) be the first derivative of v(w). Let c(d) = 4*d + 3*d - 5*d. What is c(t(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, i: 7}. Give prob of picking 2 i and 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180442.\nAnswer: 2, 3, 11, 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g. Let d(z) = 29*z**2 + 2. Calculate d(m(s)).\nAnswer: 261*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 948445.8 millimeters?\nAnswer: 94844.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, -17580 in decreasing order.\nAnswer: 3, -1\/4, -17580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 9*h**2 + 71*h - 509. Calculate n(8).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -64.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-3 - (13 - 5)) + 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45.956 - 0.044. Let q = -134 + 95. Let i = q - m. Which is the biggest value? (a) -2\/3 (b) i (c) -0.2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 333\/415 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*6\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - 20\/6 - 25 and 31\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + 1 + (6 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -12. Let f be (13\/(-52))\/(9\/(-252)). Let d = r + f. Let o(t) = t**3 - 4*t**2 + 2. What is o(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:25 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5175*w - 19*w**2 - 5175*w.\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2*k - 2*k)*(-2*k**2 - 1 + 1).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*k - 115, -23 = 3*k - 5*x + 37. Let w be -108 + -6*2\/(-4). List the prime factors of (-1)\/5 + w\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -41. Let s(x) = -x**2 + x + 7. Let h be s(5). Let l = h - n. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + o)*(1 - 1 - o) + (-4*o - 4*o + 4*o)*(30 - 12 - 15 + 10*o).\nAnswer: -38*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25290 and 305595?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -97, -27, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(1\/15)\/r*r)\/(r\/((r\/(r\/(r*(r\/r**(2\/13)*r)\/r)*r))\/r*r)))**(4\/3))**(-46))**39 assuming r is positive.\nAnswer: r**(3128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.71.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 3*i**2 + i + 3. Let d be z(-3). Let b = -114 + 116. Factor -2*k**2 + d*k**b - k + 3*k**2 - k.\nAnswer: k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 292 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from gjppgwprrwrpgrwgiw?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 47 = 20*y + 37 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11140 - 5567 - k**2 - 5591.\nAnswer: -k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34920 divided by -6.\nAnswer: -5820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -5*a + 1527. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -15 + (0 - -3) - (56 + 10)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/7 + (-1230)\/21. Does 5 divide v\/(2 - 4) - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198237 and 81627.\nAnswer: 1387659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4) + 9 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042035407 to 4 decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 243\/7. What is the nearest to 6 in 0.1, s, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 31, 1\/5, -0.06, 0.3, -0.05, 3\/2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/5 + 20629071*m**2\/5 + 247548744*m\/5 + 742646124\/5.\nAnswer: (m + 6)**2*(m + 20629059)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3\/191, 0.1, 0.2 in ascending order.\nAnswer: -0.3, 3\/191, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t - 6*t)*(-2*t - 4*t + 4*t) + 0*t**2 + 2*t**2 - 3*t**2 + 2*t**2 + t - t + (2*t - 6*t + 3*t)*(-t - 6 + 6) - 2*t**2 + t**2 - t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/7 + (-2635)\/204 - (-1)\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -5. Let d be j\/10*3\/9. Let v = -27.4 + 27. Sort 0, d, v.\nAnswer: v, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -70. Let w(b) = -b**2 - 4*b + 20. Let k be w(d). Which is greater: k or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21146*f**5 - 21160*f.\nAnswer: -422920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(24\/13))\/z*z*z\/z**41 assuming z is positive.\nAnswer: z**(-483\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.051*8.\nAnswer: 0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72005 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(3\/4))**28\/(((j**(2\/11)\/j)\/j)\/(j*j*j**(-4))) assuming j is positive.\nAnswer: j**(691\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.4, -134?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -5.7. Which is the second smallest value? (a) z (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 5:23 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5008\/25 in -2, -0.3, -0.4, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 3. Let k be m(-5). Suppose 0*w = 2*w - 8. Let n(h) = 0*h**k - 2 + 2*h**2 - w*h**2 + 4*h. What is n(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 10\/(6 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 3\/2, -163, 3 in descending order.\nAnswer: 4, 3, 3\/2, -4, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 + k**2)*(3 + 70*k + 142*k - 3 + 3*k - 2 + 2 + (0*k - 3*k + 5*k)*(-3 + 4 + 0)).\nAnswer: -434*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -357 + 355 - (-49 + -1 + 5 + -4).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Are -5391434 and -5391439 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105 times 0.3?\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2884 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17442 + -0.2.\nAnswer: -17442.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 0*(1 + -2). Suppose 0*b - 2 = 2*b. Let x be (b*9\/(-6))\/6. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20200111322 (base 4) in base 16?\nAnswer: -22057a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -127 - 4*s**2 + 2*s**2 + 128 in the form z*s**2 + j + h*s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -633 + 6957\/11. Suppose 0 = 7*n - 4*n. Is z < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-21)\/(-9) + -3). Let g be z\/(-12) - 29\/(-4). Let t = g - -2. Calculate the smallest common multiple of t and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553135 is divided by 630?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7725000 rounded to the nearest one hundred thousand?\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmy when three letters picked without replacement from {m: 2, y: 1, o: 3, r: 3, p: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236571923.\nAnswer: 7, 33795989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)*102\/6. Let j = u - -15. Let w = j + -21. What is the highest common factor of w and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 425 + -415. Solve -5*d - 15 - j = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (15 - (-1 + 3 - (-18 - -15)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -28 + -1 + 19 - 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*k - 99, -526*m - 101 - 7 = -523*m - 3*k - 2*k for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 160 in 34, -1\/2, -0.04?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 - 2*y - 5*y - 2*y)*(-y**2 - 2 + 2 + (2*y + 0*y - y)*(y - 3*y + y) + 4*y**2 - y + y) to the form v*y**2 + k*y + o*y**3 + p*y**4 + h and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r. Let l(x) = x**2 - x - 1. Let y(v) = -4*v**2 + 5*v + 5. Let h(a) = -15*l(a) - 3*y(a). Calculate b(h(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2839 - -4554.699?\nAnswer: 1715.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8199182 + 28669359?\nAnswer: 20470177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-40)\/(-146664)) - 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -1621.4973.\nAnswer: -1621.7973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25f5 (base 16) in base 15?\nAnswer: -2d2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2297 divide 12750647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - 3\/6*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115265 + -13?\nAnswer: -115300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 0, 2, 35, -117 in descending order.\nAnswer: 35, 2, 1, 0, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -74b (base 15) in base 3?\nAnswer: -2020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5418 by 43.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24941, 24937, 24931, 24923, 24913, 24901?\nAnswer: 24887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23592557 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-5))\/11*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9833 (b) -148\/3 (c) -4 (d) 1 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 18051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49263 is divided by 306?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -125*o**6\/2 - 31*o**3 + 2*o + 849. What is the third derivative of m(u) wrt u?\nAnswer: -22500*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3 - 22. Sort -5\/3, m, 0 in increasing order.\nAnswer: m, -5\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = s - 2, 3*s + 0 = -4*q + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -21. Let o = 14 - c. Suppose o*p + 306 = 5*g - 693, 3*p + 401 = 2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 - 503 = 2*g + 4*o, -g - 4*o + 16 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 33*h**2 + 313*h - 18. What is g(-15)?\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 6*f + 5. Let g be z(6). Suppose -r - 3*r = -2*q - 6, -4*r = 5*q - g. Solve -5*k - 2*h = -5*h + 14, 5*k - 10 = -q*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2141150 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/12*2 + (-129)\/27. Let p = 8.1 + -8. What is the second biggest value in x, p, 18\/11, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*a - a - 20, 0 = 2*u - 4*a - 24. Suppose 220 = u*z - 152. What is z rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 + -31)\/(84\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/(1\/(-516)). Suppose 4*j - 2*n = -5*n + 488, 2*j - x = -5*n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*c + 87. Suppose c*y - 900 = 19*y. Factor -60*d**2 + 10*d + 162*d**5 - 2\/3 - 270*d**4 + y*d**3.\nAnswer: 2*(3*d - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-4 - 2) + 4. Let z be ((-6)\/(-2) - d)*-11. Sort -3, z, -2.\nAnswer: z, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2783106 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 405\/11, -0.3, 0.175, 2\/3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13700 divided by 6.\nAnswer: 6850\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 552 divided by -138\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 84 = s. Let f = 313 + s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 3164.\nAnswer: -3\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -50. Let g = -19 + p. Suppose h = -3*f + 21, -h + 2*f = -5 - 1. Calculate the remainder when g is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i. Let u(b) = 1096183 - 1096183 - 126*b. Calculate s(u(m)).\nAnswer: -252*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6616998 to the nearest integer?\nAnswer: 2572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/9 - 36*l - 1670\/9 = 0?\nAnswer: -5, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 4)*(8 + 6 - 5 + (-2 + 2 + 1)*(3 + 0 - 1))*(-32*d + 17*d - 19*d) to the form c + m*d and give m.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -46, 1\/3, 63\/4, 2\/11, 63?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10. Let g(k) = k + 1. Calculate d(c) - 2*g(c).\nAnswer: -2*c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -1\/6*n**4 + 122\/15*n**5 + 0*n + 0 + 1\/6*n**3 - 20*n**2. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 - (-6 + (-2 - -5 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -641416.\nAnswer: -641409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + p + 11, -1 = -3*o - p. Let j(y) = 68*y - 9. Calculate the remainder when j(o) is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -353\/8 + 44. Let h = -175\/2 + 86. Which is the nearest to 1? (a) -2\/3 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639, 641, 643, 645?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -21. Sort g, 5, 1 in increasing order.\nAnswer: 1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 0.2, 80\/29, 1\/57?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m + 1. Let u(i) = i**3 + 4*i**2 - 4*i - 3. Determine -4*r(p) - u(p).\nAnswer: -p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-18))\/((-4)\/6). Let v(l) be the first derivative of -1\/2*l**2 - p*l**3 - 2 + l + 1\/4*l**4. What is s in v(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2563, -20547, -69369, -164449, -321207?\n\"Answer: -2570*q**3 + q**2 + 3*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104067582 rounded to the nearest one million?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(4 + 314505*w - 314415*w + 0).\nAnswer: -90*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(17))*6)**2 - (sqrt(204)\/sqrt(108))**2.\nAnswer: -288*sqrt(17) + 10675\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032.8119 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4812 or 24067\/5?\nAnswer: 4812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/13509 and 7\/49913?\nAnswer: 35488143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 5, -1, -23 in ascending order.\nAnswer: -23, -1, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.545 times 18.6?\nAnswer: 5683.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 4:27 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 28*r**3 - 4*r**3)*(-2*r - 6*r + 0*r - 1 - 2*r + 1 - r + 4*r - 4*r + (-4*r + r + 2*r)*(-1 + 2 + 1) - r + r + r).\nAnswer: -300*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 10. Calculate the remainder when (v*1)\/((-9)\/711) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-3)*25\/(-2). Let i be ((-4)\/(-30))\/(4\/r). Which is the biggest value? (a) 0.3 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, -5, -15, -25, -35, -45?\n\"Answer: -10*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2190 and 0.1.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -27. Let y = -1 - d. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (9 - (7 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 7. Suppose 9*o = o + 16. Let s(l) = 7*l - 15. Let u(y) = o*s(y) - 5*b(y). Determine u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by 11.\nAnswer: 167\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/4*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*p + 109*p + 180*p to f*p + i and give f.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-250) - (-1 - (-57)\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140591768 to the nearest integer?\nAnswer: 11857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -137. Let j(s) = 11*s + 6. Let c be j(-4). Let q = w - c. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 5. Let h be i(-5). Suppose h = o - 5*o + 432. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2049754397?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 280a779?\nAnswer: -280a785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449823871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 17527*h**2 + 10 - 13 + 8495*h**2 in the form p + w*h**2 + t*h and give w.\nAnswer: 26022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*k + 121*k - 8 = 0, -i - 1935 = 4*k. Is -1919 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16015413 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 39 + (-4 - (-3 + -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(((-144)\/45)\/(120\/(-75))).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaciiccicicciiciiac. What is prob of picking 2 i and 1 a?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.9. Let g = y - 1. Which is the closest to -0.3? (a) -1 (b) -3\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -4 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8 - -0.8. Let r be (-4 + -3 - -5)*(-3)\/14. Which is the biggest value? (a) r (b) 1\/6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5242*-0.5\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 260*o**2 - o - 1044 wrt o?\nAnswer: 520*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10656*j + 181212. Calculate r(-17).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100121110221020110 - 11?\nAnswer: 100121110221020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j + 1. Let n = 14 - 17. What is the units digit of a(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, and 1 i when three letters picked without replacement from {v: 1, z: 2, k: 1, d: 8, i: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 15. Suppose -w + 400000 = a*w. What is w rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82 + -135 - -47) + 25 + 1 - 53?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54621*r**4 + 283247*r**2 wrt r?\nAnswer: -1310904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 - -20777. Calculate the remainder when 10\/(-115) - v\/(-207) is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.6 + 5. Suppose 2*s = -4*o - 0*o + 16, 3*o - 15 = -3*s. Suppose -21 = o*d - 9. Which is the second biggest value? (a) -3 (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p - 1185 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27647*c**3*d**2 - 51*c**3*x - 10*c**2*d**2*x + 3*c**2*d*x - 2*c**2*x + 4*c*d*x + 874*c*d wrt c.\nAnswer: -165882*d**2 - 306*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 25*c**3 + 4*c**2 - 5*c + 2. What is k(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001210010222 (base 3) in base 2?\nAnswer: -10001010010100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5643 (base 7) to base 15.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15 - (-16)\/160)\/(209\/(-20482)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2331 - -2445. Calculate the remainder when r is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b = 124*b - 239 - 143. Let g(p) be the first derivative of 11 + p**3 + 3\/2*p**b - 6*p. What is k in g(k) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 3, e: 1, f: 3}. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = 2*w. Suppose w*x - 103 + 25 = 0. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 98599.\nAnswer: -6\/98599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3219626?\nAnswer: 2, 19, 193, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/((-2904)\/138985) + -10*3\/6. Which is smaller: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s*u*x**2*z - 146*s*u*z + 6*s*x**2 - 2*u*x**2*z + 2*u*x - 4*x**2 - 216*x*z with respect to s.\nAnswer: -2*u*x**2*z - 146*u*z + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 14*l**3 + l**2 - 5*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -9 + 12 - -10 - -27?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0178*0.05\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4867018 + 5?\nAnswer: -4867013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133312156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2 - 154*l + 471 = 0?\nAnswer: -157, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-3 + (sqrt(128) - (sqrt(128) + 0 + -5)))*6 + -5))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 6. Let w be z(6). Let r = 2 + 1. Which is the third smallest value? (a) w (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2149626 and 0.7147117?\nAnswer: 2149625.2852883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*((1 + sqrt(425))**2 + 5*(sqrt(17) + sqrt(68)\/sqrt(4)) + sqrt(17)) - (4*1*sqrt(68))\/(sqrt(256)*-2)) + -4.\nAnswer: 169*sqrt(17)\/4 + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1009119, -2018157, -3027195?\n\"Answer: -1009038*q - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = 2587*t - 2571*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3, -0.4, 0.1, 11\/5, 1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12691, 13743, 14797, 15853, 16911, 17971, 19033?\nAnswer: 20097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 2*v**2 + 50*v**3 - v**4 + 0*v**2 - 3 - 1 + 6 to the form b*v + l*v**3 + c*v**4 + j + n*v**2 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/3, -1, 1\/3, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 868 or -17?\nAnswer: 868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-7 - 6395\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.50000077 + 2.5. What is b rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkakkfkffafffaffakkf. Give prob of picking 2 a and 1 k.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10489753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -1, -3, 18667, -5, -2 in increasing order.\nAnswer: -5, -3, -2, -1, 2, 5, 18667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -546 + 1202. Suppose -3*b - w - 4*w + p = 0, 474 = 2*b - 4*w. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, -1, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 53*f**2 + 22637*f + 2573. Determine y(-427).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**3 + 99162415*v - 125510553?\nAnswer: 6*v**2 + 99162415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 529452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 - x**2 + 4*x - 2. Let y be g(1). Suppose 3*z - b = -z - 2797, -4*z = -y*b + 2785. Round z to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/7, 49, 3, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -400, -572, -806, -1132, -1580, -2180, -2962?\n\"Answer: -5*v**3 - v**2 - 134*v - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 279 + 2417. Calculate the remainder when d is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g - g**3 + 6*g - g - 10*g + 2*g**4 - 2*g**2 in the form o + z*g**4 + i*g**2 + q*g**3 + d*g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*t**3 - 39*t**3 + 16*t**3.\nAnswer: -122*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 + 1260*w + 661500.\nAnswer: 3*(w + 1050)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u + 1457554 = 139*u. What are the prime factors of u?\nAnswer: 107, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6491.531ml in litres?\nAnswer: 6.491531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/3 - 2*d**2 + d + 4. Is 2 a factor of h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l - 39. Suppose -4*z + 1 = -4*p + l, -p = z - 5. Calculate the remainder when 7 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -13, 10, 53, 122, 223?\n\"Answer: l**3 + l**2 - l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 + 1041601*p**3 - 32135190*p**2?\nAnswer: 60*p**2 + 6249606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38805186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(1\/4)*h)\/(h\/h**(-3))*h**(-3\/7)*h*h**(2\/21)\/h)**(-1\/5))**(5\/7) assuming h is positive.\nAnswer: h**(25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 28, 92, 190?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 2 + 1 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74561436*o*u*y + 42596*o*u - 17*o with respect to y.\nAnswer: 74561436*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.8181 less than 23826?\nAnswer: 23862.8181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 + 3*t + 8. What is k(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 16114735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -48. Let y(r) = 11*r - 19. What are the prime factors of y(d)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8934\/32509 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41768 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - (-22 - -18) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -2, -5\/49?\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**3 + 842*v**2 - 5784*v - 1585. Calculate g(-175).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 19. Suppose 5*i - s*o = 16, 0 = -i - o + 2 + 3. Differentiate 2*c + 6*c**4 + 5 - 2*c - 3*c**i with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358391941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48, -105, -168, -237, -312, -393?\n\"Answer: -3*j**2 - 48*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**2 + 21183*t - 20274*t + 3*t**2)*(2*t + 2 + 2*t - 2*t) to c + f*t + k*t**2 + a*t**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9028636205 to 3 dps.\nAnswer: 0.903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllljjjjjlljjljjll. Give prob of picking 1 j and 3 l.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 89060 divided by -730\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 1, a: 2, n: 2, t: 1}. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a - 17. Suppose 4 = d - 18. Let x be c(d). Let f = 4843\/18 - x. Is 0 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12 + (-1 - (-1 - 3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 + 3*b + 5. Let p(t) = t**2 + 1. Let m(c) = 5*p(c) - z(c). Let j(q) = 4*q**2. What is m(j(s))?\nAnswer: -16*s**4 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 - 8*s - 14. Suppose 0 = -3*x + 15, 0*w + 2*w + 4*x = 86. Calculate the remainder when w is divided by r(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxsc. What is prob of sequence xs?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106, 111, 118, 127, 138, 151?\n\"Answer: k**2 + 2*k + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 9 + 16 - ((3 - 47) + (12 - 5))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k + 108. Give n(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 420 = 3*w. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6081, 10969, 15865, 20775, 25705?\nAnswer: 30661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4 + 11*x**3\/2 - 67*x**2\/2 - 88*x + 24 = 0. Calculate x.\nAnswer: -4, -3, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385569761?\nAnswer: 29, 2081, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 31. Let t be s(-12). Suppose -10 = t*w - 8*w. What is the highest common factor of w and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/375136 and 113\/74040.\nAnswer: 5627040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877108603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:04 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggn when three letters picked without replacement from {n: 2, g: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l + 43. Let o be a(-1). What is the greatest common divisor of 40 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 1\/8, -111, -2\/15, 34 in ascending order.\nAnswer: -111, -4, -2\/15, 1\/8, 0.2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10222989, -20445980, -30668971, -40891962, -51114953, -61337944?\nAnswer: -71560935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*j + 4, 5*c - 2*j - 6 - 5 = 0. Let m be 16\/(-3) - (-8)\/24. Let z = 0.24 + -0.14. What is the nearest to c in -0.3, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 3, -4, 0, -1.\nAnswer: -4, -1, 0, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.98 in 4, -113, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 5, s: 3, x: 2}. What is prob of picking 1 x and 1 s?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3092*f - 1757. Is m(42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58134805.5 rounded to the nearest one million?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4\/37 (c) -0.03 (d) -7.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*a = -96*a + 45. Suppose 4*c + 4*j - 24540 = 0, -a*j - 4164 = 4*c - 28699. Round c to the nearest one hundred.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, -76, 10 in decreasing order.\nAnswer: 10, 0, -15, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23*-1.7\nAnswer: -39.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*z - 67*z - 102*z)*(2 - 4 + 7) as v*z + m and give v.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/113 + 2218\/791. Factor -w*f**3 + 0 + 8\/7*f - 12\/7*f**2.\nAnswer: -4*f*(f + 1)*(5*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26456 + 10.73544. What is the closest to 2\/5 in t, -1\/5, -3, -4\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/30 - d**5\/20 + d**4\/4 + d**3\/6 - d**2 + 19*d. Factor o(l).\nAnswer: -(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 356952*j**2.\nAnswer: -2*j**2*(j + 178476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 21*g + 13. Let y be j(10). Suppose 2*v = 2*a + 314, -309 = -2*v - 0*v - y*a. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64\/15 + 14\/3. Let n = 0.05 - 1.55. Let h = n + 2. Which is the closest to z? (a) 5 (b) h (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -9 - (-3 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, k: 1, r: 2, p: 1, n: 1}. What is prob of sequence pk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 185864729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13287406 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24520 + -15002. Let x = a + -95283\/10. Let i = 721\/10 - 72. What is the common denominator of i and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6102*h**2 + 2 - 8*h**3 + 6104*h**2 + h + 6*h as i*h**2 + l*h + g*h**3 + w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 8:50 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(4*x**2 - 7*x**2 + x**2 - 1 + 2*x**2 + 1 + (x + 1 - 1)*(-3*x - 2*x + 6*x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 726345*j + 5.\nAnswer: 726345*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 194360162 to the power of 1\/2, to the nearest integer?\nAnswer: 13941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-1)\/2*50\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:29 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1294, 2580, 3844, 5074, 6258, 7384?\n\"Answer: -2*p**3 + p**2 + 1297*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(6)*-2 - sqrt(6)))\/(sqrt(245) + (2*sqrt(245) - sqrt(245)) - sqrt(5)) - (sqrt(1408)*2)\/(sqrt(275)*1))**2.\nAnswer: 791282\/38025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c. Let d be p(-1). Suppose 2*z + 5*x - 31 = 0, -2*z + 3*x = z + 6. Find the first derivative of d - 9 + g**3 - z*g**3 wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 69*g**4 + 2*g - 1 + 61*g**4 to o*g**3 + n*g**4 + b*g + d*g**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/((v\/(v*v*v**(-1)))\/v)))\/v)**(-7)\/((v**(-5)*v)\/(v\/v**(-2\/3))) assuming v is positive.\nAnswer: v**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}